diff --git "a/data/dm_maths/full_data_1/10590_11255.jsonl" "b/data/dm_maths/full_data_1/10590_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10590_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 840*q - 4067 = 889*q for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 139 = 4*k, 2*k + 174 = 5*t + 37. Let a be (6 - (-64)\/(-10)) + t\/5. Solve 2*r - c = 1 + 5, a*c + 19 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p**2 + 0*p - 2\/3*p**3 - 80. Let n(g) = -g**2 + 20*g. Determine n(k(y)).\nAnswer: -4*y**4 - 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 5*r**2 - 5*r. Let y be k(4). Let d(v) = v**3 + 2*v + 2. Let q(l) = 3*l**3 + 602 + 9*l + 0*l**3 - 593. What is y*q(a) + 18*d(a)?\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.855444l to millilitres.\nAnswer: 8855.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611*h - 268 = -615*h. What is the remainder when h is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 21*w + 4. Is (-419)\/w - (-8)\/(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Suppose l*w = -3*w - 6. What are the prime factors of 3\/w*(-6 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(2\/(-93)). Let p = 74014 - 74011. Put 6, p, t in ascending order.\nAnswer: p, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3343056 and 48.\nAnswer: 3343056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1, 1281.\nAnswer: -1, 0, 5, 1281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.93, 2, -177 in ascending order.\nAnswer: -177, -3.93, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/3162 and 46\/3689.\nAnswer: 22134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2436 + 439*t - 2506*t + 2436 to x + c*t and give c.\nAnswer: -2067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, b: 1}. What is prob of picking 1 q and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184294.999828898 + -184295. What is l rounded to six decimal places?\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -292 - -293. Sort 1\/6, -3\/17, t.\nAnswer: -3\/17, 1\/6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**2 - 18*r - 30*r + 25*r - 3 - r**2 + 3 + (0 - 2 + 4)*(r**2 + 2*r - 2*r).\nAnswer: 9*r**2 - 23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpp when three letters picked without replacement from {i: 2, p: 7, g: 2}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaaaaaa. Give prob of picking 4 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2293384 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 48, 72, 98?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 28. Let c be g(-19). Factor 2*j**3 + 4 - 1 - 5 + 16*j + c + 10*j**2.\nAnswer: 2*(j + 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/352 and (-5567)\/(-704) + (-624)\/78.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87956.\nAnswer: 2, 11, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 16 = 22*l - 15*l + 3*m, -6*l + 3*m = -l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 289.0345 kilograms?\nAnswer: 289034.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(-1 + ((0 + sqrt(325))*2)**2) + 4.\nAnswer: -38966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10864713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 3\/(-1 - -2))*-3. Suppose c*d - 47 = 16. What is the least common multiple of d and 62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 3*j**2\/4 - 5*j\/4.\nAnswer: j*(j - 1)*(2*j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118398, 236795, 355192?\nAnswer: 473589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65987497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 54\/5 (b) 519 (c) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 30 = -3*o - 5*n, -n - 4 = 0. Let r = -4 - -36. Suppose -2*a - o = 3*a, -2*a - r = -4*c. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -6) + 17 + -3. Put 1, 4, x in ascending order.\nAnswer: 1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 244912, 244915, 244918, 244921?\n\"Answer: 3*w + 244909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88385.9nm to kilometers.\nAnswer: 0.0000000883859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0, 2\/4341, -0.4, 0.122, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + -32 + 13 + -80?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 899 - 896. Differentiate m*b**4 - 123*b**2 + 31*b**2 + 94 - 378 - 33*b**2 - 2*b**4 with respect to b.\nAnswer: 4*b**3 - 250*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1705, -3410, -5119, -6832, -8549, -10270?\n\"Answer: -2*u**2 - 1699*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 4, 0, 119, 5, 1162 in increasing order.\nAnswer: -1, 0, 3, 4, 5, 119, 1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2232 and -45\/8.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (8 - (10 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -235 + 235.2. Let m = -28 - -33.4. Let s = -5 + m. What is the biggest value in o, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(132) - (sqrt(132) + 1*sqrt(132)) - sqrt(132)) + sqrt(132)))\/(sqrt(12) - (sqrt(132)\/(sqrt(11)*-1) - sqrt(12)))*-5.\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from uuuuuuuuyuuy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -58, -110, -182, -280?\n\"Answer: -s**3 - s**2 - 28*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/56 or 1?\nAnswer: 33\/56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310 less than -72.07?\nAnswer: 1237.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0 - 3. Let h(j) be the first derivative of 2 + 0*j**2 + 2\/15*j**q - 2\/5*j. Factor h(t).\nAnswer: 2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/162?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 2*y + 1. Let a be (-9 + 10)*((-1 - 0) + 0). Let x(k) = -2*k**3 + k**2 + k - 1. Let v be x(a). What is p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190898 divided by 6158.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - 6*(-7)\/(-14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 6*d + 5. Let g = -10744733\/2874300 + 7\/261300. Let r = g - -42\/11. Are d and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-21)\/264)*2\/24. Is p less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 7:49 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -257, -63, 475, 1531, 3279?\n\"Answer: 29*s**3 - 2*s**2 - 3*s - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003522 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3034\/695 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 4*s. Let o(w) = -3 - 6*w**2 + s + 3. Let u(x) = 4*x. Calculate o(u(b)).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2477 divided by 5.\nAnswer: -2477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407926 is divided by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(320) + 0 + 5))**2.\nAnswer: 320*sqrt(5) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**3 + b**2 - 12*b - 6. Let w(l) = -14*l**3 - 2*l**2 + 35*l + 18. Let p(u) = 17*m(u) + 6*w(u). What is p(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d**(5\/8))\/d)\/(d\/d**(-10)))\/((d\/(d\/(d\/d**(-4\/19))))\/(d\/d**12*d)) assuming d is positive.\nAnswer: d**(-2977\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*l - l - 106060, -4*l + 5*t = -212100. Let d(m) = 1754*m**2 - 2*m. Let b be d(-2). Let n = l - b. What is n rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22909 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in 2\/51, -2\/3, -2\/9, -1062?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 5*(sqrt(7) - -1*sqrt(7))*-6 - (sqrt(77) + (2*sqrt(77)*3 - sqrt(77)))\/(sqrt(539) + -1*sqrt(539) - sqrt(539)))*-3)**2.\nAnswer: -7452*sqrt(7)\/7 + 1542627\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -724.55 - -908.6. Let d = q - 203. What is d rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5192751 = 5192750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163175.\nAnswer: 5, 7, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 12\/11 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-38)\/(-5) + (-4)\/(-10) and (2 + (-12 - 2))\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 76?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 95.59\nAnswer: -1720.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 817975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - -70 - (1 + -1 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*x**3 - 3429*x**2 + 362795*x.\nAnswer: 546*x - 6858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2664 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6807295.\nAnswer: 5, 11, 61, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r - 8*r + 7*r**2 - 6. Let c(m) be the third derivative of 11\/6*m**3 + 0*m - 13\/60*m**5 - 4*m**2 + 0 + 0*m**4. Determine 6*c(i) + 11*o(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97, -104, -111, -118, -125, -132?\n\"Answer: -7*b - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5154 (base 7) to base 2\nAnswer: -11100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/12)\/((-1)\/2). Is 10 a factor of (5*j - -1) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t**2. Let b(j) = 1583*j + 2. Determine f(b(k)).\nAnswer: -35082446*k**2 - 88648*k - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 80*l + 4640. Let p be w(-57). Solve -p*h + 85 = 245 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -391*a*q + a + 56 wrt q?\nAnswer: -391*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 6:26 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (11 + -6) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 + 550?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*b**5 - 37*b**4 + 37*b**4 + (b**2 + b**2 + 0*b**2)*(2*b**3 + 11*b - 11*b) - b**4 + 6*b**5 + 2*b**5 - b**5.\nAnswer: 23*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 + 2*s + 11. Let v be n(0). Suppose v*x - 15*x - 16 = 0. Calculate the remainder when 44 - (39\/15 - x\/10) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 26 - 5*z + 8*z - 2*z + 3*z + 8*z.\nAnswer: -z + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*k - 672*k - 8 = -334*k + 2*z, 0 = 5*k - 4*z - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*l - 58*l + 102. Let b = 296 - l. Suppose q + q - b = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -165 - -3?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17157*j. Let d(y) = -2068*y. What is t(d(s))?\nAnswer: 35480676*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 65. What is the fourth smallest value in -2\/3, 3, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (949 + -25)*(-1)\/(-2). Let k = u + -271. What are the prime factors of k?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-9)))\/m**(-3) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 23 = 3*h. Let u(f) = -10*f + 4*f - f + 5*f - 11. What is the least common multiple of u(h) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Solve f = -2*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/4 + 7*b**4\/24 - b**3\/6 - 5*b**2. Let l(p) = -p**2 - p. Let y(u) = k(u) + 5*l(u). Is 12 a factor of y(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -62*l + 8*l - 93*l + 378*l - 55*l. Let k(w) = w - 2. Let a(r) = 2*r - 5. Let d(b) = 2*a(b) - 5*k(b). Determine d(t(x)).\nAnswer: -176*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638.797 millimeters in meters?\nAnswer: 1.638797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11\/o**(-5))**3*((o\/o**(1\/5))**(-5))**(5\/8) assuming o is positive.\nAnswer: o**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5346769913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-99)\/(-1298))*15*19\/((-1045)\/(-33))\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((13 - 10 + 8)*(1 + 14 + 7) - 5 + 3 + 1)*(1 - 1 - l) to the form z + v*l and give v.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*f - 43 + 28 = 0, -3*c + f + 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 12:51 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 64\/3 of a day?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/3))**(-3\/2)*p\/(p*p*(p*p**(-30))\/p)*p\/p**(1\/16) assuming p is positive.\nAnswer: p**(519\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p + 6. What is x(11)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 508878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -10519893.5 to the nearest 100.\nAnswer: -10519900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 21, -12, -2, 282 in decreasing order.\nAnswer: 282, 21, 1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236.9003 milligrams to grams.\nAnswer: 0.2369003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 3528 = -189*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1841 by 7.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/1080)\/((-3)\/(-9)))\/((-76)\/570).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155 less than 16?\nAnswer: 15.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 119*t**2 - 10*t + 12. Let d(h) = 78*h**2 - 6*h + 8. Give 8*d(m) - 5*i(m).\nAnswer: 29*m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + -5 + -1 + 8)*-1 + -2. Are -1\/366 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -41, -55, -71, -89, -109?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16847*r - 9 - 4 - 16809*r + 33674*r.\nAnswer: 18*r - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/6 + 1 + 2\/(-6). Suppose -b = -4*t - 50. Let l be (2 - t\/(-8))\/(1\/52). Calculate the highest common factor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34684 and 188?\nAnswer: 1630148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**9*g)\/(g*(g\/g**1)\/g))\/(g**(-1))**(-28) assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.04 - 0.04. Let v be (2\/(-24))\/((-3)\/8). What is the third biggest value in -1, q, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v - 17*v + 114. Let u be (-5 - 1)\/((-4)\/(-6)). Let l(k) = k**2 + 8*k - 6. Calculate the remainder when v is divided by l(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6787, 6784, 6773, 6748, 6703, 6632, 6529?\nAnswer: 6388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 14*a**2 + 3*a. Let y be n(3). Let x be (12\/(-1))\/(6\/(-9*4)). Let q be 57 + 5 + x\/(-9). Calculate the highest common factor of q and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3564)\/110 + 31 - (-1 + (-212)\/5). Is a bigger than -0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-10)*t)\/t)\/(t\/(t*t**(1\/2)\/t))*(t\/t**(2\/3))**(5\/4) assuming t is positive.\nAnswer: t**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -401 + -56?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 10*v**2 - 4*v - 10. Suppose 8*b - 47 + 127 = 0. Let u be m(b). Suppose -7*p = -2*p - u. Calculate the remainder when 15 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33904 to the nearest one hundred.\nAnswer: -33900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17894317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -2.99.\nAnswer: -3.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**3*m**3*u**2 - 88*f**3*m*u**2 + f**2*m**3*u**2 - 3*f**2*m**2*u**2 + f**2*m + 3*f*m*u**2 wrt f?\nAnswer: -18*m**3*u**2 - 528*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:43 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 + x**2 + 2*x - 4. What is y(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -12 - 7 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*i - 178*i - 182*i = -246 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*42\/4048 - (-14)\/(-161)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15923 greater than or equal to -207018\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2\/219, 1\/2, 1856\/9?\nAnswer: 1856\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let i be (3 + -1)\/(j\/3). Let t(r) = -20*r - 8. Let y(d) be the third derivative of -7*d**4\/24 - d**3\/2 + 3045*d**2. Determine i*t(s) + 17*y(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 977976.2 to the nearest 10000.\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 568213650 divided by -150?\nAnswer: -3788091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2856 and 15582?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -12 - 11 - (-1 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -355*i**2. Let m(l) = -2*l**2. Calculate m(a(o)).\nAnswer: -252050*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*m - 32 = h, h + 2*m = 16. What are the prime factors of ((-31)\/(-2))\/(6\/h)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.06, -3\/97, -2\/13, -1\/3, -0.2, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1\/4, 1\/3, -20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5777105 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784031249?\nAnswer: 1193, 657193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -58a0a?\nAnswer: 58a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y + 36 = 0. What is the remainder when 26\/2 - (-87 + 96) - -71 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263310 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + h**2 + 4*h + 3. Let z be n(-1). Let u(t) = -13*t + 4. Let r be u(z). Do -22 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/460545 and -97\/4.\nAnswer: 1842180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**7\/840 + f**4\/12 - 3*f. Let h(y) be the third derivative of d(y). Let k(a) = -a. What is h(k(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122211200 - 111?\nAnswer: -122212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3177, -3175, -3175, -3177, -3181, -3187?\n\"Answer: -n**2 + 5*n - 3181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5 = -2*w, -1 = -12*w + 14*w - d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 100*u - 1352. Give p(13).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(88) + sqrt(88)*1)*-4)\/((sqrt(8) + (1*sqrt(72))\/sqrt(9))*1).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/47 and 43.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 - 2*x**2 - 4*x**2)*(x - 1 + 1) + 4*x**3 - 6*x**3 + 0*x**3 + 224*x**3 - 7*x**3 - 60*x**3 to the form o*x**2 + q*x**3 + v*x + s and give q.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/3 - 236*n**2\/3 + 1000*n\/3 + 976 = 0. What is n?\nAnswer: -122, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22*(-14)\/((-896)\/(-32))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 - 2*m**2 + 94965*m + 37610 wrt m.\nAnswer: 3*m**2 - 4*m + 94965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 17*c**2 - 16*c + 9. Let r be f(16). What are the prime factors of 327\/r*18\/6?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3185\/(-2730))\/(14\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 divided by 155.\nAnswer: -158\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/3767?\nAnswer: 2\/3767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.3 + 35. Let x(i) = i**2 + 2*i - 10. Let a be x(-5). What is the closest to 2 in z, a, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51025747?\nAnswer: 89, 359, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 26906232.\nAnswer: 269062320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 32*d + 114 = m, 466 = 4*m - 3*d. Calculate the remainder when m is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/120 - 5*v**3\/6 + 4*v**2. Is m(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 29*s**2 + 18*s - 240. Calculate r(-28).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**6\/360 - 30*h**3 - 45. Let f(u) be the third derivative of r(u). Let c(m) = 165*m. Determine c(f(o)).\nAnswer: 165*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 35*p + 10*p + 9*p + 4*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 907412 a multiple of 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 192139 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 277915 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -18*o**4 + 5844*o**3 + 74968*o**2 - 51924*o + 8762 = 0.\nAnswer: -13, 1\/3, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*3*sqrt(13) + (sqrt(117)*1)\/sqrt(9))*-4.\nAnswer: 204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)*k\/k**(-2\/7)*k)**41\/(k**(5\/3)*((k*k**(-5))\/k)\/k*k**(4\/7)\/k**(2\/7)) assuming k is positive.\nAnswer: k**(1930\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-65) + 24\/13. Suppose r = -4*r + 40. Let b be 26\/(-5)*(-160)\/208. Solve 3*g - h*f - 10 = 0, f + 2 - r = -b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 657*l + 19110.\nAnswer: -3*(l - 26)*(l + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, 0, -4 in descending order.\nAnswer: 170, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/120 - 2*c**3\/3 - 6*c**2. Let f(j) be the first derivative of l(j). Let z(o) = -4*o. Determine z(f(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/2 + 501*u**3\/2 - 51235*u**2\/2 - 2520357*u\/2 - 1234310 = 0. Calculate u.\nAnswer: -35, -1, 229, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = y - 10, 3*z - 6 = 5*y. Suppose z*r = 4*k - 3*r - 36, -4*k + 76 = 5*r. What is the smallest common multiple of k and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001448 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-45)*(-105)\/(-10). Let j = -17 - -25. Let t = j + -4. Sort r, t, 3, -3 in increasing order.\nAnswer: r, -3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 8*l + 30. Suppose n + 211 = l*n + 4*v, 2*v = -n + 47. Calculate the remainder when 232 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*j - 966419 - 1384590 = 0, -j + 2351006 = 5*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/150*(-10)\/40*1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/53955 and -27\/50.\nAnswer: 539550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*b + 12738 = 11278 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m + 0*m - m + 13*m**2. Let h(j) = j**2 - 27*j - 365. Let c be h(37). Suppose r = 2, -c = 35*i - 36*i - 2*r. Determine q(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 k when three letters picked without replacement from {o: 5, a: 4, k: 1, i: 6}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1416*r - 4*r**2 + 3*r**2 - 6 + 1421*r. Let x(l) = l - 1. Determine -2*q(z) + 11*x(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 5*u + 2*u)*(-7 + 1 + 1) + 4 - 2*u - 3 - 3 to the form g + v*u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 376*b**2 + 9200*b + 16928.\nAnswer: 4*(b + 2)*(b + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 2*w + 2. Suppose 5*a - 50 = 4*k, -2*a - 2 + 4 = 2*k. Suppose h = a*h + 20. What are the prime factors of n(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10210*d - 22259*d + 23746*d - 29269*d - 21594*d + (-2 - 3 + 4)*(d - d - d) as o*d + i and give o.\nAnswer: -59585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 0.025885, 0.13?\nAnswer: 0.025885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 21*a = -9. Suppose -3*z = 9, a*d = -4*z - 22371 + 6819. What is d rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*t - 620 + 40 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = -16*a - 160, 5*w - 13926*a = -13931*a - 60 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s + 13. Let l(w) = w**2 - w - 9. Suppose -a - 2*z + 6 = -0*z, -5*z = 3*a - 13. What is the remainder when l(a) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let u = -1 + i. Suppose -m + u = -6. What is the remainder when 16 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen twelths of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (392\/49)\/((-204)\/153)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13286*f**4 + 6*f**3*x + 268198*x wrt f?\nAnswer: -53144*f**3 + 18*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 1:46 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -21\/4, -14\/61, -0.567 in ascending order.\nAnswer: -21\/4, -0.567, -14\/61, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000255719532 rounded to seven dps?\nAnswer: -0.0002557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 8. Let g be q(-13). Suppose -2 = -2*w + 8. Find the second derivative of -8*z**w - g + 3*z + 34 - 9*z wrt z.\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/14)\/p)\/p*p\/(p\/p**(-10))*p)\/(p*p*p\/(p\/p**(4\/9))*p*p**(-7)))**37 assuming p is positive.\nAnswer: p**(-35039\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, h: 1, d: 1, f: 5}. What is prob of picking 1 e and 1 h?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.72 - -31.72. Let b = l - 31.068. Let q = -0.06 - b. Round q to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 - x + x + (0 + 5 - 2)*(2*x**3 + 5*x**3 - 5*x**3))*(-3 + 2*x + 3).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**9\/7560 + r**7\/2100 + 4*r**3\/3 - 6. Let i(x) be the third derivative of p(x). Factor i(b).\nAnswer: -2*b**3*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2\/7 - 2643*r\/7 - 5274\/7 = 0.\nAnswer: -879, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1209 + 2685 = 6*d. Let j = d + -593. What is the smallest common multiple of 84 and j?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3\/4, 3, -3\/521, -2\/39, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 l when three letters picked without replacement from {l: 1, z: 2, x: 1, i: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640 - 432*x - 434*x + 1745*x - 442*x - 436*x.\nAnswer: x + 640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(11) - (sqrt(891) - (-1*sqrt(891))**2).\nAnswer: -8*sqrt(11) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -18*i - 463. Determine x(-24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66 - -67 - -18) + (-1 - -15).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02036 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4263419197 to the nearest integer?\nAnswer: 65295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6))**27\/((w*(w\/(w**7\/w)*w)\/w*w)\/w**(-20)) assuming w is positive.\nAnswer: w**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*q**3 + 117*q**3 + 307*q - 308*q - 45*q**3 - 2*q**2 in the form s*q**3 + n*q**2 + z + u*q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 21*i - 154 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 5*b - 2*b**3 + 2*b**3 - b + b + (3*b + 0*b - b)*(b**2 - 2*b**2 - b**2) - 4 + 3 + 2 - 2*b**3 in the form p*b + x + l*b**3 + h*b**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 + 3. Let d(c) = 3*c**2 + 2. Suppose -3*u + 14 = 2*u + 4*a, 4*u = -a + 9. Calculate u*j(y) - 3*d(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(5200) + 0)**2 + (sqrt(5200) - -5*(-1 + sqrt(5200))**2))*-6.\nAnswer: -187248 + 1320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 22306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413 and 271105?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (198\/(-180) + 72\/45)\/5. Let q = -1\/36 + -2\/9. Is q at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -39.65. Let x = s + -1.35. What is the fourth smallest value in x, 41, 2\/9, 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*m + o, 5*o + 1 = -5*m - 14. Let j be 225 - (m + -3 - -3). Suppose j - 55 = 4*u. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/55)*d*d*d**(-20\/9))\/((d*((d*d*d*d**(-7\/6)*d)\/d*d)\/d)\/d**(-14)))**(-31) assuming d is positive.\nAnswer: d**(524551\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1. Let y(i) = -3*i**3 - 2. Let w(k) = 63*k - 1384. Let s be w(22). Determine s*t(f) + y(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6) + 38 - 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 3:11 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 12960 = 43884. Is 6316 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(5*x**5 - 2*x**5 - 4*x**5) + (-3*x + 3*x - x**3)*(-402*x**2 + 831*x**2 - 220*x**2).\nAnswer: -207*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3317, 1.1, -5, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26292 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 69797\nAnswer: 1395.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625 (base 13) in base 15?\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.502 + -55632.498. Let n = 55660.04431 + w. Let i = n + 1.96. What is i rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0*s + 2 + 2*s - 2*s + s - 3*s + (3 - 2 - 7)*(-1 + 1 + s).\nAnswer: -8*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((1 + (sqrt(17) - (sqrt(68) + -5))*6)*1)**2 - (4*((sqrt(1088) + 1 - sqrt(1088)) + sqrt(1088)) + sqrt(1088) + -1 + -1)**2).\nAnswer: -25630 - 532*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q + 48 = -54*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16.957099 times -0.1\nAnswer: 1.6957099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 3*w + 3. Let r be o(3). Suppose -q = -2*q + 2. Suppose -q*i + 3*l = -4, 2*i - 5*l + 1 = 5. Solve 2*s - 6 = -i*f - 3*s, -9 = -r*f - 4*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3976162 is divided by 6605?\nAnswer: 6557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(350))\/(sqrt(35)\/(sqrt(25)\/sqrt(5))).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4704, 9410, 14130, 18870, 23636?\nAnswer: 28434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*18\/30*15\/27. Let x(s) = -122*s - 3. List the prime factors of x(a).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 400 - 1212 = -2*s, -5*s - 5*z = -3960. What are the prime factors of s?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 1\/472, 204\/115?\nAnswer: 204\/115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 1248 (c) 12346\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -567? (a) 5 (b) -3\/59 (c) 0.5 (d) -127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 220889?\nAnswer: 883556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oocoooccoooooo. What is prob of picking 1 c and 1 o?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 440336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60555327, 121110657, 181665987?\n\"Answer: 60555330*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b50 + -14?\nAnswer: -3b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -8) + -7 + 5 + 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 22*t - 20. Calculate the remainder when p(-25) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 2)\/((-2)\/(-34))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4952483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20044 or -0.108?\nAnswer: 20044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1633 * 5.\nAnswer: 0.8165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose -3*o = -4*o + 5*w - 53, -3*o - 59 = 5*w. Let x = o + 28. Solve k*q + 2*b = 6*b, x = 4*q + b - 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**4 - 3*q**4 + 3*q**2 + 2*q**3 - 3*q + q**3 + 0*q.\nAnswer: -3*q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78\/(-12)*(-60)\/195. Solve -4*t - 5*g - 25 = 0, -h*t - g - 5 = -0*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c - 7. Let r be -1*3 - (-11 - -10). Let h be n(r). Factor 0 + 0*a**2 - 2\/9*a + 2\/9*a**h.\nAnswer: 2*a*(a - 1)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 74742345?\nAnswer: -1\/74742345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 8. Let o = 3 - k. Let d = 42 + -19. Calculate the remainder when d is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23160122 (base 7) in base 10?\nAnswer: 2031311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11215261?\nAnswer: 601, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -531895347 divided by 5\nAnswer: -531895347\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c95 + 15?\nAnswer: 7caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 3*a + 30. Suppose 6 + 14 = w. Solve a*l = l + w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16597 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12355 - 12354. Sort -0.4, 0.5, 2\/7, 142, t in descending order.\nAnswer: 142, t, 0.5, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*q + 3*q = 68*q - 165760. Calculate the greatest common divisor of 28 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 - 93. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 13 + -7 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 3, q: 1}. What is prob of picking 1 d and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3089*l + 15463. Calculate m(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -167?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12938*r**2 - 87*r**3 + 23*r**3 + 83*r**4 + 79*r**4 - 115*r**3 - 167*r**4 wrt r?\nAnswer: -120*r - 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j + 2. Let q(k) = k - 1. Let x(i) = 3*q(i) + y(i). Let b be x(-1). Let p(u) = 3*u**b + 5*u - u + 2 + 0*u**2. Calculate p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156220563 to the nearest integer?\nAnswer: 12499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2. Let q(s) be the second derivative of -83*s**3\/2 - 3*s**2\/2 - 1039*s. Calculate v(q(r)).\nAnswer: -186003*r**2 - 4482*r - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/24 + f**3 - 2*f**2. What is k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(544)*5 - sqrt(34))\/(-2*sqrt(8)) + 4.\nAnswer: -19*sqrt(17)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b + 34. Calculate the remainder when t(-8) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f - 8. Let l be -1*-4*75\/10. Suppose 18*j - 23*j = l. Calculate the remainder when 10 is divided by s(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 12:49 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/5 + 1296*d**2\/5 + 5212*d\/5 - 3120 = 0.\nAnswer: -6, 2, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in millimeters?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 14504.926.\nAnswer: -145049.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 12*o + 6 = 0. Let b(m) = 3*m - 9. Let s(q) = -q + 1. Let y(t) = b(t) - 2*s(t). Let w be y(o). Solve 0 = h + 4*v + 8, -5*h + 2*h + 2*v = -w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521946 is divided by 521946.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzrvbjzvd. What is prob of picking 2 v, 1 r, and 1 j?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (2 + 0) - ((2 - 5) + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -4, 1 in descending order.\nAnswer: 61, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 less than 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 65. Let h be u(21). What is the third derivative of -115*z + 185*z + 0*z**3 + h*z**2 + 0*z**3 - 91*z**4 wrt z?\nAnswer: -2184*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -493120000 rounded to the nearest one million?\nAnswer: -493000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -941.991626 + 942. Round m to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325435256*v**3 - 162717622*v**3 - 162717624*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(6\/1896). Let k(n) = 29*n**2 + n + 8. Let y be k(-3). Let i = y + m. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 7. Let a(h) = 1. Let w(l) = -14*a(l) + 2*i(l). Let c(y) be the third derivative of 1\/12*y**4 + 0*y**3 + 3*y**2 + 0 + 0*y. Calculate c(w(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/79940 and 39\/1142?\nAnswer: 79940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (424\/11236)\/((-16)\/(-13144))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 5 + -1 + -6 + 10 + -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 41*b**2 + 19*b + 42. Let i be f(21). Sort i, -51, 0.4 in decreasing order.\nAnswer: 0.4, i, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qdqddqqdqq.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 1 - 1 + (-1 + 2*v + 1)*(-v**2 + v**2 - v**4) - 34*v**2 - 20*v**5 + 34*v**2.\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 4*x**2 - 6*x + 7. Let k be t(5). Let l = -34 - -32. Let q be (16 - -11) + l*1. Solve 0 = 3*y + k*y - q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 39*o**2 - 5*o. Let z(l) = -19*l**2 + 3*l. Let j(i) = 4*d(i) + 7*z(i). What is the remainder when j(-1) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 517815 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g**3 - g - 766*g**2 + 766*g**2 + 3 + 2*g - 373*g**3.\nAnswer: -331*g**3 + g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425*z + 8360 = 433*z. Suppose 0 = -2*s - 17*s + z. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 40 = 0. Let t(q) = -28*q**3 + 20*q**2 - 20. Let b(n) = -4*n**3 + 3*n**2 - 3. What is g*b(d) + 3*t(d)?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -66. Suppose -196 + a = -2*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:54 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345.7 + -346. Let y = 219\/5 - 44. Which is the nearest to y? (a) 1\/3 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -33. Let k(b) = -b**3 - 33*b**2 + 54. Let i be k(-33). Let j = i - v. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 - 203. Which is the closest to -1? (a) x (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747372474?\nAnswer: 2, 3, 47, 389, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23608 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3127*r + 612 = 3185*r + 1306 + 756 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Suppose -289991 = 5*l - 3*a, z*l + 231994 = -0*l + 2*a. Round l to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 331500 = 11*x. What is x rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 8*b - 8. Let o be p(-6). Suppose 0 = -5*d + 5, -2*d + 0*d + 342 = o*l. Let f = l - 57. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17736e - -6?\nAnswer: 177375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144.68 + -34.68. What is the third biggest value in -0.16, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2. Let g(o) be the third derivative of -o**7\/336 + 41*o**5\/60 + 9*o**2 + 5*o. Let h(j) be the third derivative of g(j). Determine m(h(z)).\nAnswer: 450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457 + 919 - 462 + 31*x**3.\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1418181264 and 5112.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -306 + -136?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(420\/1260).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3587 = -4*s, 7*z - 4*z = -3*s - 2724. Let c = s + 10931\/12. Let u(i) = i**2 - 4*i - 2. What is the common denominator of c and u(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y + 0*y**2 + 2\/27*y**3 + 0 - 1\/54*y**4. Determine a so that t(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3749*u - 2*l = 3748*u + 59808, -299104 = -5*u + 2*l. What is the ten thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from {x: 5, o: 13}?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-295)\/(-10) + ((-14)\/4)\/(-7). Let f be (-150)\/(-4)*(0 + 2). Calculate the greatest common factor of f and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726 and 11215094.\nAnswer: 370098102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.8819547 nanoseconds?\nAnswer: 0.0008819547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2)*(1 - -1). Let a(l) = -7*l**2 + 6*l - 6. Let m(t) = -t**2 + t - 1. Let q(z) = -a(z) + 6*m(z). Calculate q(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2523238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1047122 micrometers in millimeters?\nAnswer: 0.0001047122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8294352 and 2244.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 1, b: 2, q: 4}. Give prob of sequence xx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.1 - -28.9. Let n = 35.99999856 - k. What is n rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50.5 - 0.5. Let v = -49 + o. Let u = -25 - -24.89. Which is greater: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10111010110001101100?\nAnswer: 10111010110001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 405 - -19. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 2749*l**3 - 3061*l**3 + 8545*l**3 + 0*l**2 - 2824*l**3.\nAnswer: -89*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1 + 5*o**2 + 11*o - o**3 - 12*o - 4*o + 0. Let i be q(2). Solve -4*p - 5*n + 9 = 0, 0*p - 22 = i*p - 2*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355 + 399. Suppose 42*k + 10 = p*k. Solve 4*i - k*v - 25 = 0, 4*v = -2*i - 0*v - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + t = -62 + 19, 4*t - 52 = -2*f. What is the highest common factor of f and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 50\/9, 162, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 + 54*m**2 + 2*m + 111. Determine w(-27).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 7*v**6\/15 + 5*v**2\/2 + 19*v. Differentiate c(m) with respect to m.\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -55\/7, -2739\/8, -0.1?\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -909*r + 16072 - 21337 - 22316 - 29686 = 0 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790 = -29*m + 674 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 3*i**2 - 3*i - 3. Let r be j(-3). Let c(q) = q**2 - 7*q - 57. Let a = 258 + -246. Let u be c(a). Solve r*k - u*k = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1968d?\nAnswer: -1968b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1) - 268\/260)\/((-5)\/125)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.1152 - 0.3008. Round p to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 - 0.3. Let h = -0.005 + 5.005. Let v = -16\/11 - -31\/44. Sort v, h, i.\nAnswer: v, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -210*x**2 + 5242*x + 31. Give q(25).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + (-210)\/50)*1*120. Suppose -10*a = -a + n. Round a to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11281\/578 - 5\/289. Calculate the common denominator of s and -87\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -7*y**5\/60 + y**4\/12 - y**3\/6 - 9*y**2. Calculate x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3107, 3112, 3119, 3128, 3139?\n\"Answer: v**2 + 2*v + 3104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -1\/120*p**6 + 0*p**4 + 3\/2*p**2 + 10*p + 1\/60*p**5 + 0*p**3 + 0. Let c(g) be the first derivative of w(g). Factor c(f).\nAnswer: -f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/3)*d\/((d*d*d**(-8)\/d)\/d))\/(d**(1\/4))**(2\/43) assuming d is positive.\nAnswer: d**(1889\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -104*i. Suppose 0 = 3*s - 42 - 32 + 56. Let t(q) = 13*q. Give s*z(c) + 51*t(c).\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -43. Sort -2, -3, a, -1 in decreasing order.\nAnswer: -1, -2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404 - y - y + 3*y.\nAnswer: y - 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -113, -158, -251, -398, -605, -878?\n\"Answer: -d**3 - 18*d**2 + 16*d - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(5\/6)))\/j)**(-1\/4)*j\/(j\/j**(-1\/12)*j*j)*j*j**(-4) assuming j is positive.\nAnswer: j**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b1 + -5?\nAnswer: -11b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 37271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -109916447?\nAnswer: 32974934.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 s, and 1 r when three letters picked without replacement from trtxstxtstxtsrrrtttt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 2*g**3 - 3*g + (g**2 + g**2 + 0*g**2)*(4*g - 2*g - g) + (3*g**2 - g**2 - g**2)*(-5*g - 9 + 9 + (21*g - 2591 + 2591)*(-10 - 10 + 23)).\nAnswer: 62*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -82 + 26 - (-9 + (-5 - 2))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/13 and 187\/151032.\nAnswer: 1963416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = 20. Let r be j\/(-18) + (-548)\/(-36). Suppose 5*b = -5*q + r, 0 = 2*q - 3*b + b - 10. Calculate the greatest common factor of 44 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + -1 - (-5 + 1*sqrt(12) + sqrt(12)).\nAnswer: 4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1074412 and 3376.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*t + 7, -74*h + 78*h + 5*t = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014885736 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.05 + -6. Let o be (2\/(-6))\/(5\/(-45)). Suppose -3*t = 4*j - o, 2*t = -t - 5*j + 3. Is n less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -2. Suppose -18 + 60 = 21*g. Suppose 0 = -4*o + 3*w + u, -3*o - g*o = -4*w. Solve 4*l - 16 - o = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/((44\/(-36))\/11) is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let h(m) = 1567*m**2. What is d(h(u))?\nAnswer: 2455489*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:16 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 712207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a1 (base 16) in base 2?\nAnswer: 10100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 4\/12)*-291. Suppose h + v = 3*l, 2*h + 2*h = -2*l + 46. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and -2010.\nAnswer: -2010.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -323? (a) 0.03 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3 - 2 + d + 2*d**2 + 3*d. Suppose 0 = -4*z - 24, 2*u - z = 780 - 762. What is the lowest common multiple of u and x(-4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 11*d**2 + 33*d + 24. Is 2 a factor of m(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -6*z - 90. What is the lowest common multiple of 40 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 6*z. Suppose z*c - 2*c = -76. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-110)*-5 - (-118088)\/433070. Are p and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -3 (b) 2\/9 (c) 31\/6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11115 and 1011845?\nAnswer: 118385865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 123 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -361 + 1b5159?\nAnswer: 1b4bd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventeen sevenths of a week?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44333042 (base 7) to base 9\nAnswer: 7166708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1941, 16362, 55503, 131724, 257385, 444846, 706467?\nAnswer: 1054608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13153*l + 26327*l - 13167*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11920 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-154)\/5698 - 149\/(-37). Factor 5*h**2 + 1\/2*h**3 + 0 - 1\/2*h**4 + p*h.\nAnswer: -h*(h - 4)*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 163 + -126?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -0.2 (c) -1\/6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -12. Solve 0 = -g - m - b, 2*g = -g + 4*m + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqedeeeee. Give prob of picking 1 q and 3 e.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2 - 3. Let k = 9 + -3. Calculate the remainder when c(-2) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051 - 3.08.\nAnswer: -3.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:41 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -807 - -813. Suppose 11*x = o - 39. Put 0, 5\/3, x, 6 in increasing order.\nAnswer: x, 0, 5\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 + 4. Let u be r(6). Suppose 0 = -u*n + 2*g - 2, 2*n = -4*g + 14. What is the closest to n in -1, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 313560.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -267 = -280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -429*r*w**4 - 2*r*w**3 - 886*r*w**2 wrt w.\nAnswer: -10296*r*w - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1360 and 296?\nAnswer: 50320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -97*h - 96*h - 76*h + 378*h - 83*h. Let l(x) = 1. Let p(w) = -7*w**2 - 5. Let v(s) = -5*l(s) - p(s). Determine v(n(d)).\nAnswer: 4732*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**8\/10080 + u**7\/120 - 11*u**6\/180 - 47*u**5\/60 + u**4\/8 - 141*u**2. Let v(q) be the third derivative of s(q). Factor v(l).\nAnswer: 2*(l - 1)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**9\/63 + 7*r**5\/60 - 5*r**2\/2 + 13*r. Let i(k) be the first derivative of w(k). Find the third derivative of i(a) wrt a.\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5, -l + z - 7 = -z. Suppose -2*w - 6 = 3*k, k = l*k + 3*w + 9. Let j(a) be the first derivative of -a**2\/2 + 4*a + 1. Calculate j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -31 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2*-1 - (2*1*sqrt(136) - sqrt(136)))*6)\/(sqrt(8) + (-3*sqrt(72))\/sqrt(9) - (sqrt(80)\/sqrt(5) - sqrt(16))\/sqrt(2)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**5*h*(h*h**(-4)*h*h)\/h)\/(h**(-2\/3)\/((((h\/(h**(-1\/9)*h))\/h*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 5*n - 4, 7*n + 10 = -5*o + 5*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10566.16211 - -10566. Round o to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:21 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212*v + 384190 = -1202*v. Does 107 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/9433 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 39. Suppose 82*l - 87*l = 3630. Let k be (3\/(-12) - -1)*176\/l. Which is the third biggest value? (a) k (b) 2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556591.\nAnswer: 7, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3487200 divided by -174360.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.372 + -254.018. Let z = n - -266. What is z rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhc when three letters picked without replacement from {s: 1, h: 1, j: 1, i: 2, c: 2, x: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 27819*g - 55643. What is h(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50868469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 3*h + 16 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times -13504\nAnswer: -39161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 10*h = -63*h + 58*h + 65, 0 = 5*m - h + 41 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*u + 58*u - 12 - 37 - 9 in the form r*u + y and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -190, -314, -436, -556?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9206 is divided by 295?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2441820 + -4160804. Let s = -1718984.1699982 - m. Let i = s + 0.17. What is i rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1648*h - 1661*h + 3*h**2 + 14*h**3 + 3309*h - 3*h**2.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8672082.\nAnswer: 2, 3, 71, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5684*f**3\/3 + 1661. Let v(j) = 2*j. Calculate v(r(w)).\nAnswer: 11368*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6975109 rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*s = 72385, -3*w + 57*s - 59*s = -43430. Is w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*(1\/(-3) - 0). Suppose 0 = 7*g - 75 - 23. Calculate the remainder when 167\/f + g\/(-35) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86.314503 + 86.247. What is v rounded to four decimal places?\nAnswer: -0.0675","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14*(-3 + (-14)\/4). Suppose 192 = 23*k + 31. What is the greatest common divisor of u and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q**3 - 22*q**2 + 19*q - 12. Let r(k) = -5*k**3 - 11*k**2 + 9*k - 6. Let s(h) = -6*c(h) + 13*r(h). Let n be s(11). Which is bigger: n or 25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 112. Let b = -45069 - -45076. What is the greatest common divisor of b and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 + 496*o**2\/11 - 29736*o\/11 - 127008\/11.\nAnswer: -2*(o - 126)**2*(o + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34793 is divided by 201?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 29 - 11 = 0. Let j be (0 - 2) + h\/(-4). What is the least common multiple of 20 and 14 - (1 + (j - 2))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9929, 9847, 9623, 9185, 8461, 7379, 5867?\nAnswer: 3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 1, 359, -2, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in -13, 5, -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432436 is divided by 2356.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (66\/8)\/(6 + 2607\/(-440))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0163015 and -95.\nAnswer: -1.5486425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55662\/9*(-26 + 32)?\nAnswer: 2, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - i, 7*i = x + 2*i + 9. What is the nearest to -2 in -1\/11, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8541 (b) 4 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 582*j + 32. Let i(q) = 2372*q**2. Determine h(i(c)).\nAnswer: 1380504*c**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -18*a - 27. Let b be (-7 - (-390)\/66)*a\/(-3). Factor 0 - b*z**2 + 0*z + 6\/11*z**3 - 2\/11*z**4.\nAnswer: -2*z**2*(z - 2)*(z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2736) + ((sqrt(2736) - (sqrt(2736)*2 + 4 + sqrt(2736))) + sqrt(2736))**2.\nAnswer: 108*sqrt(19) + 2751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2*-3)\/(-2). Suppose -7*x = -2*x + w*x. Solve x = o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -2*(-10)\/(-4). Let a(o) = u - 2 + 4*o + o. Let k(p) = 6*p + 1. Let m be (6\/4)\/(1\/(-2)). Determine m*k(i) + 4*a(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 + w**2 + 3*w**2)*(0 - 1 - 1)*((-2*w**2 + 5*w**2 - w**2)*(1 + 3 - 3) + (2*w**2 + 0*w**2 - 4*w**2)*(-2 - 2 + 3)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46 + 40)\/(-2 - (0 - 4)). List the prime factors of -6 - -1 - (-6 + i) - -1679.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/1047 (b) 3 (c) 0.050013\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*n**2 + 48*n**2 - n**4 - 2 + n**3 + 0*n**4 + n**3 to u*n**2 + d*n + m + t*n**4 + h*n**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m + 140. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Suppose -3*d - 9 = -0*d. Let z(i) = -i**3 + 9*i**2 - 2*i - 8. Let l(f) = d*h(f) + z(f). Does 11 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 133*t. Let m(w) = -255*w - 237*w + 496*w. Give m(c(n)).\nAnswer: -8*n**2 + 532*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(3*w + 0*w + 4*w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -2)\/(3\/(-3)). Suppose q*z - 2*r = 2*z + 74, 2*z - 109 = -5*r. What is the units digit of 172\/14 + (-12)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/5 - 2*x**4\/5 + 26*x**3\/5 + 10*x**2 + 24*x\/5 = 0. Calculate x.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 6 - 2 + v**3 + 17*v + 39*v + 28*v**2. Let x be l(-28). Let k(z) = 0 - 3 + 7*z + z**2 + 13. Give k(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22749?\nAnswer: 3, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3965 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + u**3 - 2*u**3)*((0 + 0 - 1)*(2*u - u - 3*u) - 15 - 16*u + 13 + 8*u)*(1 - 20 + 1).\nAnswer: 216*u**4 + 72*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1403 divided by 82476.\nAnswer: -1403\/82476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49609880*j - 148015744 wrt j?\nAnswer: 49609880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Let c = 3 - i. Let q(d) = -d**2 - 8*d. Let m be q(-8). Solve m = -c*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 2, 0 in increasing order.\nAnswer: -5, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3005*b**3*m**3 + 8*b**3*m - 13884*b*m**3 - 11*b*m wrt b?\nAnswer: -18030*b*m**3 + 48*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) 270 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/15 - 1949714*w\/15 - 649904\/5 = 0?\nAnswer: -974856, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314 divided by 459?\nAnswer: -146\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 6 - 57\/3. Let l = r - -28. Solve 0 = 14*z - 18*z + l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*y - 1197 - 243 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7697 = 583*q + 6295 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/84)\/(1\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -16. What is the remainder when 10*(6\/g - 1) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 17*l - 13. Determine k(18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -800*k**5\/9 - 70160*k**4\/9 - 532246*k**3\/3 - 2564348*k**2\/9 - 1068722*k\/9 = 0.\nAnswer: -43, -17\/20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**3 + i - 3. Let h = -38 - -35. Let w be s(h). Suppose 0 = -13*b + 10*b + w. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)\/(l*l*l\/(l\/(l**20\/l))))**21 assuming l is positive.\nAnswer: l**(-924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -1*sqrt(121) + sqrt(121))*5)\/(sqrt(66)\/(-2*sqrt(6))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.1 or 0.08?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/14*(6045\/260 - 23).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-42)\/(b*b*b\/(b**29*b)))**35 assuming b is positive.\nAnswer: b**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 10*z - 35. Let d be h(13). Find the second derivative of 0*f**4 - 61*f + 14*f**d + 3*f**3 + 13*f**4 - 13*f**4 wrt f.\nAnswer: 168*f**2 + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(360)\/(sqrt(27)\/sqrt(3)))\/(-5*sqrt(32)\/sqrt(4))).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 3*w**2 + 2*w - 5. Suppose -18 + 22 = j. Calculate f(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*m + 639*m = 614*m + 16613 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0 - 2*j + j + 6. Suppose 0 = -5*t + 3*t. What is m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Let p(y) be the first derivative of -y**3\/2 - 2*y**2 - 119*y + 128. Let w(u) be the first derivative of p(u). Determine w(m(c)).\nAnswer: 6*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189352153.\nAnswer: 5413, 34981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (2 - (3 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (48 - 31 - 19)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 17*k**2 - 11*k - 18. Let r be t(6). Suppose 0 = -3*v + 3*f + r, -5*v = 4*f - 192 - 337. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 71, 110, 147, 182, 215?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979969177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r - 86. Let p(w) = -240*w + 3. What is p(g(s))?\nAnswer: 2160*s + 20643","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 376674.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3972 + 36008 = 2*t + b, 2*b = -5*t + 99951. What is the remainder when t is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107242680.\nAnswer: 2, 3, 5, 191, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.87757 to the nearest integer.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5933.604km?\nAnswer: 593360400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 22*y**2 + 43*y + 46. Determine f(-4).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -462 + 3228\/7. Which is the nearest to 0? (a) 5 (b) j (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 - 2*i + 31*i**2 + 2*i.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*h**4 - 101514*h**3 + 10002712*h**2?\nAnswer: 2832*h - 609084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1444268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 16, e: 2}. What is prob of sequence uue?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/3 + 14524*l**3\/3 - 22451138*l**2 + 106146983740*l\/3 - 53412491308225\/3 = 0. What is l?\nAnswer: 1207, 6055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124 and 6?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3811*a - 3813*a + 7624*a - 1776*a**2 + (-7*a**2 + 3 - 3)*(2 - 1 + 1) as v*a + o*a**2 + k and give o.\nAnswer: -1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*g + 33 = 0, 0*n + 3*n = g + 28. Let p(j) = -2*j**2 - 112*j - 173. Calculate the remainder when p(-54) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 38\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12\/5 - 91\/5. Suppose 3*o - 40 = 5*o. Which is bigger: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 51. What is the third smallest value in t, -0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38335 (base 9) to base 4\nAnswer: 12102332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 + -94 + (-10 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197981 to the power of 1\/2, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/8968 - -1239825\/8968. Let d = 353797573\/9292 + -878917\/23. Let v = b + d. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 722 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -978*s + 36681. Give y(38).\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 24512440*t - 75107464344200.\nAnswer: -2*(t - 6128110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(-2)*b)**(-1)*b*b\/((b\/b**(5\/3))\/b)*b*b*b**(-4) assuming b is positive.\nAnswer: b**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 804 = 3*z, -3*p - 9*z + 4*z = -804. Suppose -i + 8 = 2*a - p, 0 = 4*i. What is the remainder when a is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/6)\/12 - (-2)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/14 - (-146)\/(-511). Suppose u + 10 = t, 21 = 3*t + 6. Put -1\/2, h, u in increasing order.\nAnswer: u, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18457 - -18773. What is the remainder when 2201 is divided by j?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12041 times 4\nAnswer: -48164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*y - 2, -38 + 48 = 2*y - 2*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 46. Let x = 16 - 79\/5. Let q = 734 - 735. Which is the nearest to h? (a) q (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - g + 1. Let w(a) = a**2. Suppose c + 0*q = 2*q + 15, 2*c = -q + 5. Calculate c*w(x) + l(x).\nAnswer: x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608717 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80131630 a multiple of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87098?\nAnswer: 2, 11, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -103. Let t = -11 + h. Solve 4*d - 8 = -t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 535 - 198. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -467, -728, -987?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76*h**4 + 11006*h**2 - 11006*h**2)*(-2 + 6 + 4) to x*h**3 + i*h + j*h**2 + a*h**4 + t and give a.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49549 is divided by 6961?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = u, 0 = -3*r + u + 16. Suppose -68*k + 70*k - r = 0. Let h = -1 + -3. Which is the second biggest value? (a) k (b) 5\/6 (c) -0.5 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*q**2 + 3*q**2 - 5 + 23 - 18.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1648 = 167*g - 7159 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 45 + 83 = -106 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 1, 68 in descending order.\nAnswer: 68, 1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329 by -82.\nAnswer: -329\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 40 = 132*t - 136*t, t - 4*c - 11 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*a**2 + 2*a + 44*a**2 - 4 - 4)*(-3 + 0 + 0) as s*a**2 + u + r*a and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 32 = 36 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 405740.1 nanometers?\nAnswer: 0.0004057401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 0*h**2 - 3*h**2 - 2*h**2 - 4*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10 = -3*g - 2*b, 2*g + 4*b - 4 = 0. Suppose 4 = g*f - 9*f. Factor -8*m**2 - f*m - 129 + 129 + 32*m**3.\nAnswer: 4*m*(2*m - 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) -0.3 (c) -2.4 (d) -0.17 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -438151, 49 in decreasing order.\nAnswer: 49, 4, -5, -438151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2430, -2585, -2812, -3117, -3506?\nAnswer: -3985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -627 - -627. Let d(p) = 4*p + 0*p - 2*p + 2. Let f be d(z). Solve f*u = -3*y - 2, -3*y - 5*u + 2*u = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 5450?\nAnswer: 16350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1724 + -598. Suppose -5*m + b = 2*h, -280 = -3*h + m + 1375. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128268.7091 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**18*z**8 assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*z + 11784, -510*p + 508*p - 7856 = -2*z. List the prime factors of z.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 - 4*x**2 + 3*x + 3. Let z be g(4). Let q = z - 3529\/13. Is q greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/4 - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 + -445. What is the closest to -1 in -0.3, f, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12586, -2, 0, 5 in ascending order.\nAnswer: -2, 0, 1, 5, 12586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923, -1084, -1245?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = y - 28, p - 44 - 26 = -3*y. Let r(z) = -z**2 + 30*z - 144. Let v be r(y). Solve v = -i - 5 + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5046*f + 2532*f - 1 - 1 + 2551*f + 111*f**3 to the form l*f**3 + x*f + s*f**2 + o and give x.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1009, 1006, 1003?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7\/5)*m*m*(m\/m**(-1\/2))\/m*(m\/(m\/((m*(m\/m**(2\/3))\/m*m*m)\/m)))**(-3\/8) assuming m is positive.\nAnswer: m**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 95118354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -243 + 243 - 7*q**2 + 2*q**2. Let u(t) be the second derivative of -5*t**3\/6 - t. Calculate u(r(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13546\/51 at least 265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/(2\/3). Let w be ((-4)\/(-240))\/((-27)\/24). Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -1, 4, -1\/249?\nAnswer: -1\/249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1090\/(-1526)*6\/(-10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.16.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31940 = -1675*n + 78*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/11, -7573, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 + 159 - 139)*(3*h**2 - 2*h**2 + 2*h**2).\nAnswer: 354*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 251327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -1. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/269920061?\nAnswer: 2\/269920061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (70\/(-63))\/5 - 494\/(-117). Solve -5*h + 1 = -o*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 2*o**2 - o + 205. What is the tens digit of w(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541460002 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9730 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.302, -0.2, -7, 4\/5?\nAnswer: -0.302","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2717470?\nAnswer: 2, 5, 7, 38821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40675 and 4604?\nAnswer: 187267700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8546.65 millilitres to litres.\nAnswer: 8.54665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/9*6\/(-4). Let l be (1\/(-3))\/(6 - 1729\/285). What is the third biggest value in i, l, 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**5\/10 + h**4\/4 - h**3\/6 - h**2 - 97*h. Let o = -26 - -24. Determine m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14225\/3 + 4742. Let k = -5.2 + 3.2. Which is the closest to k? (a) r (b) 1 (c) -4\/5 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3534 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-14))\/((-12)\/(-28)). What is the nearest to a in 1\/3, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -6\/143, 0.1, -1, 5.\nAnswer: -3, -1, -6\/143, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132019*p**6 + 368173*p**2?\nAnswer: 15842280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 428888*d*u**2 + d + 72*u**5 - 18892419*u + 2 wrt u?\nAnswer: 857776*d + 1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27137.9 - 24230. What is c rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 1782?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10 + 3 + 13*y - 17*y. Let j(f) = 13*f + 20. Let a(b) = -4*j(b) - 11*u(b). Determine a(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54736 (base 8) to base 7.\nAnswer: 124034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406345 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 3:52 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -1.38. Let i = -0.18 + f. What is the second smallest value in 4\/7, 5, i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -7*z**3\/3 - 4*z**2 + 8*z - 114. Let o(m) = m**2 + m - 1. Let s(b) = -3*c(b) - 24*o(b). Let s(g) = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88138 is divided by 1695.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 275*s - 1119. Determine a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -221*i + 15 + 232*i - 17*i**2 + 4*i**2 + i**3. Determine h(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + k - 3. Let w be t(-3). Suppose 0 = -5*u + 12 + w. Find the second derivative of -186*v + 1 - 8*v**u + 187*v - 1 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 b when four letters picked without replacement from fyyybybybyfy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 5*x**2 + 12*x + 26. What is the remainder when v(-7) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5635 and 915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -260 divided by -260\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + 0*u - 21*u**2 + 0*u)*(10*u + 8*u - 2*u + (-2*u + u - u)*(1 - 1 + 1) - 4*u - u + 6*u + 4 - 5*u - 4).\nAnswer: -150*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 446, 460, 490, 542, 622?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 5:06 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 93106118 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k - 116 = -q, -4*q = k - 425. Let y = q + -65. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431 - 873 + 442 - 22*z**3 + 21*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 8*n**2 - 81*n - 38. Let u be i(14). Solve -2*k = -4*z - 3*k - 20, u*z - 4*k + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3501 - -7763. Let f = 75319 + -49266. Suppose -s + f = 11*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 3*k - 5. Let f(d) = d**2 - 2*d - 2. Give -13*f(r) + 6*q(r).\nAnswer: -r**2 + 8*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - 6.63. Let k = n + 6. Let o = 0.4 - k. What is the second smallest value in o, 9, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 456 + -453. Solve -z = 6*r - 33 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*x + 7, -43*y + 41*y + 2 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4840 and 35656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.3 (b) -2 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3745.263 + -3748. Let y = s - 1.263. Let v = -31\/4 - -209\/28. What is the second biggest value in v, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -3*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38258 is divided by 5421.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174 - -177. Suppose -2*q - 2 = 0, 8*q + 20 = 5*z + 3*q. Let -z*n**3 + 1 + 9*n + p + 2 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233 by -3.\nAnswer: 233\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 617 + -159. Let v = r - 229. Suppose 4*u = 787 + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 - 59*i**3\/2 + 237*i**2\/2 - 133*i\/2 - 49\/2 = 0. What is i?\nAnswer: -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 42*j**2 - 137*j + 743. Determine c(18).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109170595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 714 (base 8) to base 11\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -0.1. Let f = g - 0.1. Which is the closest to 0? (a) 2\/13 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -1708 - 644. What is the highest common factor of w and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 662*d**2 + 661*d**2 - 267*d**3 + 19 + 662*d**2 + d - 1985*d**2 wrt d.\nAnswer: -1602*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7793340 to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 421 (b) -12 (c) -7 (d) -17 (e) -3\/2 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -4 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8397547 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 413*q**3 + 287*q**3 + 0.\nAnswer: -126*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**3 - 872*r**2 - 1172*r + 1168 = 0 for r.\nAnswer: -2, 2\/3, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-12) + 28\/16. What is the highest common divisor of w and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = -5*y, -x - 2*y = -2 - 2. Suppose 5*r + 45 = -x*r. Let d = 24 + r. What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*v, 342*w - 2*v = 343*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1322 - 858. Calculate the remainder when g is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -15 + 14 + (-4 - 3) + 1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 26, 35, 40, 41, 38, 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 33*k - 22. Let i(j) = 72*j - 50. Let u(n) = -13*h(n) + 6*i(n). Let y(r) = -2*r**2 - 4. Determine u(y(s)).\nAnswer: -6*s**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3508325.\nAnswer: 5, 140333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -489*a - 1927. Is n(-17) a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/7, 2.06, -1, 16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 1430*b**2 + 1438*b**2 - b + 0*b**3 + b + 5*b to k + i*b**3 + d*b**2 + c*b and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2228113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.2363039 to three decimal places.\nAnswer: -38.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -185*r + 7343. What is h(40)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilfn when four letters picked without replacement from {l: 1, f: 1, n: 3, z: 2, i: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -17*g**2. Let k(r) = -r + 94. Let i be k(0). Let f(q) = 2*q - 94 + i. Calculate d(f(x)).\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -195)\/(-5 + 7). Let u be (-1 - 10\/5) + k. Let d = 145 + u. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585886703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1505 by -5.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 4*u - 2 - 2. Let d be q(5). Let c = d + 14. What is the second biggest value in -2, 1, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/9*2\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*a**5 - 1533*a**4 + 54561*a**3 - 183279*a**2 + 128160*a + 65124 = 0. Calculate a.\nAnswer: -201, -1\/3, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -821 (base 11) to base 16.\nAnswer: -3df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/125 - 13\/(-15) - (-494)\/(-57)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-194)\/679*1\/((-60)\/(-56))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 8. Let m be (3\/9)\/((-88)\/72 - -2). Sort c, m, 0.1, 0.7 in increasing order.\nAnswer: c, 0.1, m, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(8 + -3) - (-5 + 5). Let v be ((-18075)\/6*-2)\/(3\/n). Round v to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85133 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, e: 2}. What is prob of sequence eeb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(2\/9)*k))**5 assuming k is positive.\nAnswer: k**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/9 + 6726160*q\/9 + 2242054\/3 = 0.\nAnswer: -1, 3363081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 3*t - t + 2*t + 3 - 3 + (0 - 2 + 3)*(t - t + t))*(0 + 2 - 5)*(-549 - 1059 + 970).\nAnswer: 1914*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**19*l**(2\/33) assuming l is positive.\nAnswer: l**(629\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -34 + (-16 - -29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 32 = 8. Suppose -5*h + 15 = 40. Let v(l) = -l + 7. Let r be v(h). Calculate the highest common factor of r and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11313, -11341, -11381, -11439, -11521?\nAnswer: -11633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -11)*(-205 + 204).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**7\/5460 - k**6\/2340 - k**3\/2 - 4*k. Let s(d) be the second derivative of w(d). Factor s(t).\nAnswer: 2*t**2*(t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1503252\nAnswer: -1\/751626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 137 - 137 - 3*r + 3*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*g**3 + 21*g**2.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 2:59 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*w = -w - 52, 0 = 4*w. Let z = -8 + i. Solve 0 = -2*l + 5 + z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-8))\/9*-2. Let u = 501.7 - 502. Which is the fourth smallest value? (a) -3\/2 (b) u (c) f (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h - 53*h + 6*h + 1612 = -45*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - r - 129 = 0, -7*g + 6*g + 4*r = -54. Calculate the smallest common multiple of g and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + h + 4. Let k be a(0). Differentiate 2*w + k - 2 + w + 1 wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19. Let f = -7 + v. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (3 - (-1 - -2)). Let d(y) = -22 - f + 3*y - y - 21. Let s be d(20). Are s and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w - 3. Let p be -38 + 37 - (-3)\/(6\/16). Let t be g(p). Calculate the highest common divisor of 273 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -3 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*y**4 - 17*y**2 - 745*y?\nAnswer: 84*y**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 1. Let t(s) = -2*s**3 - 2*s**2 + 13*s - 9. Let y(v) = -22*m(v) + 2*t(v). Find j, given that y(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10580699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*w + 4 - 2, -3*w + 10 = -p. Suppose -w + 7 = u. Solve 0*x - 24 = a + 5*x, -14 = a + u*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 5*q - 5*q - 6*q - 3*q**3 + 1 to s*q + w*q**3 + k*q**2 + p and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1242 - d2?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 988 and 2135068.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 22 - 4 = 0. Let d be c\/(-4)*(-10)\/(-3). Solve -4*b - 17 = -g, -b + 3*b = 5*g + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*b + b. Suppose -2*w = -2*o + b*w - 6, 3*o - 4*w + 2 = 0. Let y(m) = 1 - o*m**2 - m - 3*m + 2*m. Give y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003152 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gsggggsssssgssggsgg?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2. Suppose -5*m + 3*p = -m - 47, -5*m + 5*p + 65 = 0. Let i be 3 + -5 + m + -4. Let z(a) = -2*a**2 + 8*a**i - 5*a**2. What is z(u(y))?\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**3 + 13*w - 3 + 39*w**3 - 41*w**3.\nAnswer: 62*w**3 + 13*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 17*y - 13. Let g be z(1). Sort -3, 2, g in increasing order.\nAnswer: -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + sqrt(76) + sqrt(76) + -2 - 2*(1*sqrt(76) - sqrt(76))*5)**2*-4.\nAnswer: -1220 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 13. What is the lowest common multiple of 9 and h(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*t - 34 = -8, -4*d - 2*t = 42. Suppose -4*k = 3*a - 14, -5*a + 11*k = 8*k - 4. What is the remainder when (4 - d\/a)*7 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*l*y**4 + 29*d*l*y**3 - 2*d*l - l*y**2 + 46*l*y - 3*y**5 - 2*y**2 wrt y?\nAnswer: -48*d*l*y + 174*d*l - 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1)*5 + -31 + 41. Let j(z) = 9*z**2 - 3*z - 7. Let x(t) = -13*t**2 + 5*t + 10. Determine r*x(p) + 7*j(p).\nAnswer: -2*p**2 + 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - q**3 + 4*q**3)*(-3 + 3 + 2*q) + 0*q**3 - 2*q**4 + 0*q**3 + (28 + 3*q - 28)*(-112*q - 2029*q**2 - q**3 + 2029*q**2).\nAnswer: -3*q**4 - 336*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152) + (-6*-2*sqrt(1152) - sqrt(1152)) + sqrt(1152) - sqrt(1152))\/(sqrt(1089) - 2*(sqrt(1089) - sqrt(1089)*2)))**2.\nAnswer: 2048\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -15*b**4 + b + 3. Let x be w(1). Let u = x - -103. What is the highest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -74. What is the remainder when 39 is divided by (-76)\/(-10) - 14\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/720 and -65\/576.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -22248.78.\nAnswer: 111243.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*-8 + (-6)\/2. Let r = 17 - m. Suppose 4*v = d + d + 100, 4*d - r = -4*v. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 208 + -187. Let a be 4\/6 - (-4 + 56\/h). Solve -l = a*r - 3*r, -r - 15 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2703459, 5406916, 8110373, 10813830, 13517287?\nAnswer: 16220744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b + 7. Let k be f(3). Calculate the greatest common divisor of 75 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2 - 8 = 0. Suppose 25 = 4*s + s. Suppose f = q - s. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 50202.\nAnswer: -1\/50202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a = 2*p + 27*a + 20, -5*a = -3*p - 40. Put p, 5, 35 in decreasing order.\nAnswer: 35, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3\/2 + 57\/8*k - 3\/2*k**3 + 33\/8*k**2 = 0.\nAnswer: -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 l when three letters picked without replacement from {m: 2, q: 1, l: 7, g: 2, n: 6, c: 1}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -4 (b) -3 (c) -2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*l - 18 = 10, 0 = -3*s + 2*l + 33. Suppose s*g - 1344 = 528. Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**5\/9 - 28124*l**4\/9 + 517816*l**3\/3 + 2580080*l**2\/9 - 1278784*l\/9 = 0 for l.\nAnswer: -2, 0, 2\/5, 58, 2756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 + 1 + 2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - 2. Let s be u(2). Let l be s + (-2 + 2)\/(-2). Is 13 a factor of (3 + -1)*(-91)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 10*m + 20. Let y(n) = -n**2 - n. Let v(j) = -u(j) + 2*y(j). Let f be v(-10). Let l be (2\/3 + f)\/((-4)\/(-12)). Solve 0 = 4*d - 6 - l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23028 is divided by 22722.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = -5*a, 0 = 9*o - 8*o + 3*a - 2. Solve o*g - 23 = -4*p - g, 0 = -2*p + 4*g - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 15, 1369, 7\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 - 80 = 10*m. List the prime factors of 6\/4*(18 + m).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((490\/25)\/(10\/(-50))).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -8)\/((-1)\/(-2)). Let t(r) = -r**5 - r**4 - r**3. Let p(h) = -6*h**5 + 36*h**4 - 37*h**3 + 16*h**2. Let m(v) = n*t(v) + 4*p(v). Factor m(i).\nAnswer: -4*i**2*(i - 1)*(3*i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -2254, 1 in descending order.\nAnswer: 23, 1, -2254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsbsttbttstbsbbtbbst. Give prob of sequence bsss.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1554*n**2*y**2 + 2*n**2*y + 3*n**2 - n - y**2 + 2 wrt y.\nAnswer: -3108*n**2*y + 2*n**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-4*5\/(-360).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 - (-19 - (-43 + (78 - 38)))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 4 + 1)*(o + 0 + 28 - 19) as d*o + h and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*j - 91*j + f - 1, 2*f - 14 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 91 = 127 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*u + 42, -4*z - 62*u + 52 = -58*u. Let i be ((-24)\/10)\/((-1)\/20). Calculate the highest common factor of i and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1 (c) 0 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25*((-19)\/(570\/(-3114)) - (-2 + -1)). Is 2669 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15\/4, -24, -3276, -8 in ascending order.\nAnswer: -3276, -24, -8, -15\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -154620 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1\/a)\/((a**(-1\/5)\/a)\/a))\/(a**(-34)\/(a**(6\/7)*a)) assuming a is positive.\nAnswer: a**(1332\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -646 - -1347. Solve -746 + w = 15*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**3 + 5*q**2 - 3627 - 3*q + 3627. Let m(d) = 19*d**3 + 9*d**2 - 5*d. Give -5*g(v) + 3*m(v).\nAnswer: 7*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x + 38 - 473 = -199*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*b - 335 - 867 = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -56, -79, -102, -125?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44502, 88422, 132342?\n\"Answer: 43920*r + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*i**5 + 14*i**5 + 5*i**5 + (-5*i**2 - i**2 + 4*i**2)*(-i**3 + i**3 + 2*i**3) + 3*i**5 + 2*i**5 - 3*i**5 - 3*i**5 + i**5 + i**5.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/544*-10*2\/(-5). Let i = 2 + -2. Put c, i, -13 in increasing order.\nAnswer: -13, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + ((-8)\/10)\/(4\/(-30)). Suppose -3*g - 3*v + k = 2*v, g + 2*v = 3. Put -2\/3, -13, g, 2\/7 in decreasing order.\nAnswer: 2\/7, -2\/3, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilyiiyn. Give prob of picking 2 i, 1 n, and 1 y.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.7 + 9.7. Let m = l - 11. Let p = m - -3.9991. Round p to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.085 from -13303876.3255.\nAnswer: -13303876.4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 283*c**5 + 17*c**4 - 2*c**2 - 1920 wrt c?\nAnswer: 16980*c**2 + 408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097629959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1347023, -2694044, -4041065?\n\"Answer: -1347021*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2205) - sqrt(45))\/(sqrt(324) + (sqrt(324) - 3*sqrt(324)) - sqrt(9)).\nAnswer: 22*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16176845*w = 16176577*w + 7874 + 7402 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -782 (base 10) to base 2\nAnswer: -1100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64)\/(-80) - (-145561)\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 4*k**2 - 5*k - 5. Let g be (12 - 2)*(-3)\/(-6). Let c = g + 0. Give r(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 24\/(-14) + 0. Let k = -4 - -3.9. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-77)\/(19 - 12) + 10 + -1. Sort 19, -35, n, 2 in ascending order.\nAnswer: -35, n, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.97 + -0.85. Let x = y - 0.18. What is the closest to x in 5, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 273 - 69 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*v + 26, 5*c + 6 = -v - 9. Let f be (2 - 1)*6\/(-2). Let k = f + v. Solve k*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3000868 and 2444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t*u**3 + 45*t*u*x**3 + 56*t - 236*u**3*x**3 + 29*u**3*x wrt t?\nAnswer: 3*u**3 + 45*u*x**3 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54.2 + -62.2. Is s greater than 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 110*g + 339.\nAnswer: -(g - 3)*(g + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8365824*i**3 + 11654208*i wrt i?\nAnswer: 50194944*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 87?\nAnswer: -10\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1143829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x - 8. Let o be g(7). Let b(l) = -2*l + 10. Let h be b(o). List the prime factors of 1 + h + -1 + 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovn when three letters picked without replacement from nnnvnnnno.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7*12\/(-18).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = -2. Let j be u\/(2\/(-117252))*1. Suppose j = -2*i - 53374. Round i to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -84*o + 5. Calculate the remainder when s(-1) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78*f**2 + 2*f + 183?\nAnswer: 156*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -147, -297, -515, -807, -1179?\nAnswer: -1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 12*v**2 - 15. Give n(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let i(r) = 7*r - 98. Let j be i(14). Let v(t) be the third derivative of 7*t**2 + 0*t**4 + 0*t**3 - 1\/20*t**5 + j + 0*t. Calculate v(o(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (212 - 223)\/(847\/(-12 + 5))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lla when three letters picked without replacement from {l: 2, a: 1, d: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/10617 - -84946\/53085. Suppose -l*o + 0 - 2\/5*o**2 + 2\/5*o**4 + 8\/5*o**3 = 0. Calculate o.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 7796 (c) 1\/2 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a\/a**(1\/7)*a*a*a)\/a))**(-3\/31)\/((a**(-6)*a)\/(a\/a**(-2\/3))) assuming a is positive.\nAnswer: a**(4520\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 60)*60\/240. Let d(m) = -m**2 + 15*m - 2. Calculate d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**3 - 3 + 10*w**3 - 3 + 7 to u*w**3 + l*w**2 + a + x*w and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237 is divided by 223.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 32*w**3 + 4*w**2 - 12*w**2 + 8*w**2 as u*w**2 + x*w + q*w**3 + r and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160204 is divided by 2160148.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(7\/(-28)). What is the remainder when (-208)\/(-10) - (-3)\/15 is divided by (1\/u)\/(1\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/24)\/((-3)\/(-444)). Suppose 0 = j + 3 - c. Does 34 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/3435 and 21\/95035.\nAnswer: 285105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 148, 5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3813 and 3403.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108922031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/250*(-30 + (-300)\/(-12)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2*v**3 - 1376*f**2*v**2 - 4*f*v**2 + 97402*v**6 wrt v?\nAnswer: -6*f**2 + 11688240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 1 = -3*o + 3, -3*c + 3 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*f**2 + 682*f**2 + 850 + 38 + 66.\nAnswer: f**2 + 954","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1300778 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (66 + (-36 - -24) + (-1 - -10) + -8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -23*(-4)\/(-4). Let a be (-69)\/(-21) - 6\/z. Solve -2*q - m = 2, -3 - 3 = -a*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67592.6 greater than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 2312335?\nAnswer: -1156167.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:02 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.4, -1\/5, 4\/13, 0.3, -0.07, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 4*x**3\/3 - x**2 + x + 11818. Let i(u) = 6*u**2 - 3*u + 2. Give -5*i(m) + 7*p(m).\nAnswer: -2*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 - -0.41. Let b = -0.171 - -0.101. What is the second smallest value in t, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -92*f**2 - 491*f + 17. Calculate k(-6).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (-8)\/(-12)*6. Suppose -7 = -3*m + u, 3*m + 4 = d*u - 4. Suppose c - 15 = -m*c. Solve -c*p = 2*v + 3, 0 = 6*v - v - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71029537511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -20 - 9) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + -1980?\nAnswer: -1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/24 - u**5\/20 - 3*u**4\/4 - 5*u**3\/3 + 6*u**2. Let m(k) = -k - 1. Let n(i) = -6*m(i) + w(i). Factor n(v).\nAnswer: (v - 2)*(v + 1)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 + 1 = -5*l. Suppose -3*d - 19 = -5*g, -3*g = -3*d - 2*d - l. Suppose 0 = -g*i + 20. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1)*r**(1\/6)\/r*(r**(2\/5)\/r)\/r**2 assuming r is positive.\nAnswer: r**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7105773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6663 + 6660 - 13323 - 16*y. Give x(4).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from ajjajjajajajaaaajj?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h + 1 + 5*h**2 + 6*h + (-28 + 28 - 34*h)*(-6*h + 2*h + h).\nAnswer: 107*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 11:00 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 - 23124844*t = 0. What is t?\nAnswer: 0, 5781211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3330 by -6.\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 38*l**2 + 28*l**2 + 1 - 141*l**2 + 37*l**2 + 26*l**2. Let k(y) = -y**3 - y**2 + y - 1. Let s be k(-2). What is c(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4869906*p - 63108 with respect to p.\nAnswer: 4869906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28472504*s**4 + 4430603 wrt s?\nAnswer: -113890016*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/13932163 and 113\/5619696?\nAnswer: 668743824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + sqrt(128) + -1 + (sqrt(24)\/(sqrt(24)\/sqrt(2)) - sqrt(2)).\nAnswer: -1 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 2*x**2 + x + 2. Suppose 7 - 1 = -3*z. What is v(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15 - ((-2)\/(-6) + 4\/(-12)). Let b(j) = -j**3 + 18*j**2 - 36*j + 12. Calculate the remainder when b(f) is divided by (-2 - -16) + 1\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - (-2 - 0)\/(-6). Let j(s) be the first derivative of -1\/2*s**4 + 1 - 1\/3*s**3 - 1\/5*s**5 + u*s + 0*s**2. Factor j(l).\nAnswer: -l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-14)\/24)*7500\/(-9). What is f rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234)\/sqrt(54) - (sqrt(39) - (sqrt(2496) + sqrt(2496) + sqrt(2496) + sqrt(2496)*3)))\/(2*6*(-1*sqrt(21) - sqrt(21))\/sqrt(7)))**2.\nAnswer: 65533\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 10) in base 6?\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.73675 minutes to milliseconds.\nAnswer: 1244205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053768 is divided by 1327.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(8\/(-2)))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 23691870?\nAnswer: 47383740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-24)*15\/2. Suppose -5*d = 4*b - 104, 6*b + g*d = b + 130. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 654.5 rounded to the nearest ten?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16236 to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23859 divided by 9.\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 - (-221 + 235).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71994 divided by -6.\nAnswer: -11999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 27*p**4\/4 - 7*p**3\/6 - 50*p. Find the second derivative of m(d) wrt d.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(1122\/12) + (-3736)\/(-22). What is the highest common divisor of i and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 16 + -34 + -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1810 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x + 0*x + x - 9*x. Let m(y) = 4*y. Let a(q) = 4*q. Let u(n) = -7*a(n) + 6*m(n). Calculate g(u(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/610 and -52\/6161?\nAnswer: 61610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21553*l**3*u**3 - 3*l**3*u - 109*l**2*u - 47*l*u wrt u?\nAnswer: -129318*l**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-45)\/(-12))*(-10)\/8.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107580 + 107577 + 107586 - 3*d - 430327 + 107584.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 + -180. Solve 5*q = -2*p - 13, j*p + 24 = -2*q - 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 31620 = -143590. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let w(l) = 30058*l + 1. Calculate w(g(p)).\nAnswer: 30058*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:07 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2231403 + 4?\nAnswer: -2231344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241879*w - 241826*w - 4664 = 0 for w.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 213, 4, -3 in decreasing order.\nAnswer: 213, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -12*q**3 - 349420*q**2 - 2543690244*q - 847857924 = 0?\nAnswer: -14559, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -3, -21.\nAnswer: -21, -3, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 4403?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.88 + 0.12. Which is the biggest value? (a) 0.4 (b) x (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40267445, 40267457, 40267491, 40267559, 40267673, 40267845?\nAnswer: 40268087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62039226961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 545734988.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (17 + (4 - 16))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 - -121. What is the closest to -1 in r, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52704 (base 12) to base 10\nAnswer: -108148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*4378.6.\nAnswer: -131.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, a: 18}. Give prob of picking 3 a.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*u - 30*u - 35. Let y(z) = 2*z. Let m(j) = -82*j - 20. Let f(n) = u*y(n) - m(n). What is the first derivative of f(c) wrt c?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 7*l**2 - 6*l - 7. Let t be h(6). Let z = -11 - t. Let u be 2\/(-3) + z\/(-6). Solve u = -n + 6*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*l - 8 = f, -f - 3*l - 1 = 0. Let d(u) = -2 - 5 - 7 + u**2 + 0*u**f + 15*u. Calculate the remainder when 7 is divided by d(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 8, -5, 5, 2 in increasing order.\nAnswer: -5, 1, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q. Suppose -5*p + 3 = -3*g, 3*p = -4*g + 31 - 6. Let d(c) be the second derivative of 0*c**2 + 0*c**p + 0 - 1\/12*c**4 - 2*c. Calculate h(d(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*f**3*y + 23*f**3 - 2*f + 2*y + 796 wrt f.\nAnswer: 306*f*y + 138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 84 = 0. Solve c = g + 4*g - f, 2*g = 4*c + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6799, -13954, -21109?\nAnswer: -28264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 1:14 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129048 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3703 and 675717?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**3 + 2*z**2 + 10. Let f(w) = 7*w**3 + 3*w**2 + 9. Let y(v) = -2*f(v) + 3*l(v). Differentiate y(a) with respect to a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -80*k. Let y be (1 + 1*-4)*(-24)\/(-6912)*-8. Let j(o) be the second derivative of -7*o - y*o**4 + 0*o**2 + 0 + 0*o**3. Determine j(u(z)).\nAnswer: -6400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 30*h. Let r(w) be the third derivative of 0*w - 29*w**2 - 1\/12*w**4 + 0 + 0*w**3. Determine q(r(c)).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36592*b = 36571*b + 770049. What are the prime factors of b?\nAnswer: 3, 17, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {y: 1, q: 3, p: 1, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5344436 and 15408.\nAnswer: 192399696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00293422 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1 - -2*(7 + 4). Let n = 200 - q. Let d = n - 103. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -103. What is the greatest common factor of v and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2918954 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - c00?\nAnswer: -bdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 731574421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111 - 100) + -12 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + w**2)*(106*w + 13*w**2 - 106*w) - 7*w**4 + 11231*w - w**3 - 11231*w in the form x + k*w**2 + p*w**4 + g*w + q*w**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 23*d**5\/60 - 10*d**3\/3 + 68*d**2. Find the first derivative of f(a) wrt a.\nAnswer: 46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1830\/(-549)*(-48)\/(-10). Put a, -80, -4 in decreasing order.\nAnswer: -4, a, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*y**4 - 292*y**3 - 3077*y wrt y.\nAnswer: -120*y**2 - 1752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -38, -48, -58, -68, -78?\n\"Answer: -10*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*a - 14 = 26, c = 3*a - 4. Solve 1 = 4*d + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -34. Which is the closest to z? (a) 0.2 (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 - 1\/2*q**4 + 0*q**3 + 0 - 5*q - 3\/20*q**5. What is the third derivative of m(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2866 = 153*y + 41 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1098240 is divided by 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/6041 and 75\/13808?\nAnswer: 96656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*f - 10 - 14 = 0, -3*f + 10 = n. Suppose -n*d - v + 5 + 13 = 0, -v = -5*d + 18. Solve 4*y = -0*y + d*q + 12, 2*y - 2 = q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100 + q**3 + 20*q + 1100.\nAnswer: q**3 + 20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/4))**(2\/33)*(d\/(d*d**(-8)\/d))\/d**(2\/17) assuming d is positive.\nAnswer: d**(9881\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5057 or 5066?\nAnswer: 5057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5929*d. Let l(f) = -891*f + 1. What is o(l(a))?\nAnswer: -5282739*a + 5929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 2722347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-332)\/108)\/(585\/1755) + (1 - -8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 5 = 73 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-123*p**4 - 11737 + 11737).\nAnswer: 246*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*s - 51 = -51 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*a + 8, -a + 0 = -5*h - 1. Let g = -3 + 3. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:55 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6284302, 0.2 in ascending order.\nAnswer: 0, 0.2, 6284302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 578 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/91, -3, 0.5, 7, -1, -85, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 9*d - 1265. Calculate the remainder when i(-47) is divided by 103.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 609528.\nAnswer: 1\/609528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -266 - -42828\/161. Let b = 638\/483 + z. What is the nearest to -1 in b, 0.4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 13*y + 30. Let l be c(8). Let p(d) = -3*d - 10. Determine p(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55808577 to the nearest integer?\nAnswer: 7471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/4 (c) 2\/7 (d) 50 (e) 8\/525\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 676, 1355, 2034?\n\"Answer: 679*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25868247668 + -0.8?\nAnswer: -25868247668.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 4175 + 4175.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*t = -151*t + 123480000. Let u = -3 + 7. Suppose 11*h = -u*h + t. What is h rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 at least 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose 4*h = -2*y + 10, d*h - 5*h = 5*y - 10. Let x be (0\/y)\/(7 - 10). Which is the third biggest value? (a) x (b) 0.4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*a**2*h**3 - 14*a**2*h + 98*a*h**3 - h**3 + 2 wrt a.\nAnswer: -46*h**3 - 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 1, w: 2, t: 4}. Give prob of sequence jz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 524657 and 7153?\nAnswer: 12067111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + h + 2*h - 5*h - 3*h + 4*h + h + h - 2*h + 0*h + (-3 - 2 + 4)*(-2*h - 2 + 2) + 21*h + 27*h + 67*h to the form y + j*h and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/5 - 52*b\/5 + 1824\/5 = 0. Calculate b.\nAnswer: -76, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9455 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5716, 2, 810 in increasing order.\nAnswer: -5716, 0, 2, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 586, -256, -3 in decreasing order.\nAnswer: 586, 3, -3, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a day in minutes?\nAnswer: 16416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-8) - -1*3. Suppose -5*l + 3*j + 0 - 12 = 0, -j = -3*l - x. Factor 1\/4*m**5 + l + 1\/4*m**2 - 1\/4*m**3 + 0*m - 1\/4*m**4.\nAnswer: m**2*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954393 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*l**4 - 6*l - 7*l - 45*l**4 wrt l?\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)*2 + (sqrt(72)*-2)\/sqrt(9))\/(-5*((sqrt(44) + sqrt(44)*-2)\/sqrt(11) - (sqrt(4) + sqrt(20)\/(sqrt(5)*-2)))))**2.\nAnswer: 128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8770 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 64328.6.\nAnswer: 64328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from {v: 2, y: 1, x: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 95*n**7\/14 - 3*n**5\/20 - 593*n**4\/6 - 3*n**2\/2 + 28*n + 6. Find the third derivative of z(r) wrt r.\nAnswer: 17100*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6 = b - 52, -4*i + 4*b + 32 = 0. Let l(n) = -n + 5. What is l(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 178*w + 61784. What is j(-352)?\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:10 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152306 and 37582.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3110*s + 46650. What is j(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -600612 take away -0.1?\nAnswer: -600611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-16)*0\/(-1). Suppose q = l - 5. Solve -2*y - 3 - 1 = 4*k, -l*k - y = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 159*k**2 - 3 + 157*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)*k)\/k*k*k**3)\/((k\/(k\/(k**5\/k)))\/((k\/(k\/k**(-2\/3))*k)\/k)))**(-50) assuming k is positive.\nAnswer: k**(400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23845837*m**4 - 54296599*m**2?\nAnswer: 572300088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 10*m = -38, y + 12*m + 30 = -8*m + 21*m - 7*m for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 122*m - 1702. Let p be h(16). Let s = 0 - -1. Suppose 0 = -5*j + y + 8, 2*j - 5*j + 8 = y. Put j, p, s in decreasing order.\nAnswer: j, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2471*y + 9837. Give p(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3236*l - 136?\nAnswer: -3236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -i - 6*o + 53, 5*i + 2*o = 13*o - 110 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2310, -38, -2386?\nAnswer: -4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -5*c**2\/2 + 4*c + 150. Let n(i) = 4*i - 3. Let j(t) = t**2 - 2*t - 1. Let h be j(-1). Give h*a(z) + 3*n(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37\/3 + 13. Let v be (31\/93)\/(2\/6). Let k be v\/(-7)*4 + 6\/35. Which is the closest to k? (a) 1 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-11) + 1 - 1. Let o = -284 + 280. Sort l, o, -0.1, 5 in descending order.\nAnswer: 5, -0.1, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = 15. Suppose -2*i - a = i. What is the units digit of (i\/2*2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 153\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74148 divided by 167.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 7762.\nAnswer: 116430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**(2\/3)\/o)**(-39)\/((o\/(o*o**(2\/7)*o))**(19\/2)*o*o**(-1\/6)*o*o**(-6)*o) assuming o is positive.\nAnswer: o**(6329\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 - 47 = 5*t, 4*x - t = 35. Let g = 39 + -15. Suppose -10 = q + 5*f, -2*q + 0*q + f + g = 0. What is the least common multiple of q and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0367403 rounded to five decimal places?\nAnswer: 0.03674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(0*g + 0*g + g**3) + 0*g**3 + g**3 - 2*g**3 + (-g + g - 2*g)*(2*g**2 - 6*g**2 + 2*g**2) + g**3 - g**3 + 2*g**3)*(-5 + 5 - 5).\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -u - 2, -5*u + 0*h = 4*h + 6. Let l be (u - (1 - 2)) + -1. Differentiate -v - 3*v + 7*v**l + 2 + 4*v wrt v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 132 + 144)*(-373*u - 36*u**2 + 373*u) to the form s + w*u**2 + b*u and give w.\nAnswer: -9216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -14*h - 48. Let j(t) = -40*t - 143. Let w(p) = -8*i(p) + 3*j(p). Let x be w(-18). Calculate the greatest common factor of 33 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 0.1 (c) 2287 (d) 0.05 (e) 1 (f) 8\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19909 is divided by 3299?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3548 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.07 + -0.07. Suppose 0*j + 3*j = 2*o - 1, -2 = -2*j + 4*o. Let s be (-7)\/(-6) - j\/(-6). Which is the nearest to m? (a) -3 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2675 + 2540 - 5215 + 44*i - 65*i - 4*i - 100*i.\nAnswer: -125*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 7, t: 1}. Give prob of picking 3 k.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 0.4, -0.18, -213, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h + 3\/2 + 3\/2*h**2.\nAnswer: 3*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 8) + -3 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*z**3 - 219*z**2 - 150*z + 24.\nAnswer: -3*(z + 1)*(z + 4)*(15*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjfwjjtfbyjtftbjjbt. What is prob of sequence twj?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1461)\/9*(-9)\/(-966). Let m = 2\/161 + l. Let y = -0.9 + -0.1. Which is the nearest to y? (a) m (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-20))**(-2\/163)*(b*(b\/(b**21\/b))\/b)\/b*b**(-17))**(-19\/6) assuming b is positive.\nAnswer: b**(37943\/326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -10*j + 268. Find the second derivative of -238*f + j*f**2 - 8*f**2 + 67*f**2 wrt f.\nAnswer: 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13 - 4) + 8\/(-2). Let i = -12 + 5. Let a = -4 - i. What is the biggest value in -4, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 2875368776?\nAnswer: -2875368777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2595.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 665603 to the power of 1\/2, to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 44 = -1. Suppose -n = -3*k, 3*u - 7*u - 2*k = -1258. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -64400 (c) -2 (d) 3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 8:19 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 912 + -624. Suppose 91*i - 83*i = j. What is the greatest common divisor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 44. What is the highest common factor of q and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4202403 (base 6) to base 8\nAnswer: -614003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*m**3 + 42*m**2 + 2?\nAnswer: -1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*i - 584*i + 5*y = 187, -71 = 6*i - y for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4112673 is divided by 207.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuttt. Give prob of picking 1 u and 3 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7417.366 to the nearest 100.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2208 and 22577952.\nAnswer: 519292896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijciibj. What is prob of sequence jbic?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123095949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/693 - -499\/5544. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = -0*i. Suppose 246 - 1349 = -5*d - 2*h, h = d - 215. What is the second derivative of -192*m**5 + d*m**i - m**4 + 31*m + m**4 wrt m?\nAnswer: 540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519276255.\nAnswer: 3, 5, 269, 128693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 292*o**3 - 112 + 20 - 110 + 346*o**3 - 188 with respect to o.\nAnswer: 1914*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.51 + 2.49. What is the second smallest value in t, 4\/5, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8820 and 12?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 3. Suppose 8*p - 3*p - 15 = 0. Let q(l) be the first derivative of -3*l**2\/2 + 4*l + 4. What is p*q(z) - 4*o(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6)*o)\/o)\/o*o*o**8\/o)\/((((o*o**(2\/3))\/o)\/o)\/(o**(-4\/3)*o)) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 376*q + 157. Is m(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29859610*c**3*n + 8*c**3 + 5*c**2*n - 16*c**2 + 45*c*n - 176*c + 2*n wrt c?\nAnswer: 179157660*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -d - 4*d. Solve q = -y + 1, -d*y + 5*q + 2 = -0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 235*y**2 - 59*y**2 - 1 as t*y + x*y**2 + g and give x.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72588, 3, 1\/26, 10, -2\/9 in ascending order.\nAnswer: -2\/9, 1\/26, 3, 10, 72588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/11)\/(-1 - 9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 0*k**2 + 0*k**4 + 0*k + 4\/3*k**3 - 5 - 2\/5*k**5. What is the third derivative of x(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -0.8. Let z = -0.2 + p. Let b = z - -0.4. Which is smaller: b or 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -198*i - 454. Let o be f(-5). Let m = -8038\/15 + o. What is t in -2\/15*t**3 + m*t**4 + 0*t + 0*t**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 347 + -344. What is the smallest value in -1\/3, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/35 + (-26)\/126. Which is greater: s or -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 45*v - 5. Let t be w(-2). Let z = -36 - t. Suppose -2*o - 2*p + 12 = 0, 0 = o - 5*o + 3*p + z. Find the common denominator of 41\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00901662 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {w: 3, q: 3, c: 1, p: 4, m: 5, b: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*i - 603 + 246, 4*i = f - 356. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**2 - 4*x**2 + 13*x**2 + (-7*x + 7*x - 4*x**2)*(2 - 5 + 1) + x**2 + x**2 + 0*x**2.\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2855079.7 - 14.\nAnswer: -2855093.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.91 - -41. Let v = u + -0.39. Let y be (-6)\/38*4\/6. Which is the closest to 1\/3? (a) v (b) y (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 12*j + 80 = 0. Calculate the remainder when 39 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -2*h. Let r be (-2296)\/(-24) - 6\/9. Suppose h*x - r - 139 = 0. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + 3*m. Suppose m*f + f = 267. Suppose -5*i + f - 24 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2. Let h(s) = 0*s + 4*s + 7*s + s. Calculate h(w(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4202.048039 - 4202. What is x rounded to 3 decimal places?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793123.\nAnswer: 793123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 260*b\/3 - 10325\/3.\nAnswer: (b - 35)*(b + 295)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -254*s - 44133 + 46673 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**2 - 7*q + 2. Let y(a) = -a**2 - a + 1. Let k(h) = r(h) - 2*y(h). Find the second derivative of k(o) wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from aavaaavnaaan.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spm. Give prob of sequence psm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142401929.\nAnswer: 103, 1382543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8\/21)\/(-4)*78\/(-52)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + 0*p + ((0 + 5 - 2)*(-p + 0 + 0) - 43 + 43 + 22*p)*((-2 - 2 + 5)*(4 + 3 - 5) + 1 + 0 + 1))*(-p**2 + 0*p**2 - p**2).\nAnswer: -146*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 3*a - 4. Let k be b(-5). What is the third derivative of -r**2 + 0*r**k - 4*r**6 + r**6 + 4*r**6 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -z + 3211, 4*z - 627 = g - 0*g. Let i = g - -1720. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.778772ug?\nAnswer: 5778.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1988 and 865508.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let j = -0.259 - -0.126. Let p = j - 0.067. What is the closest to t in 0.1, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 28421 = -61205. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0344 rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = -2*x - 10, -2*x = 3*j - 16. Suppose j*r - 2*r = 4. Let n be r\/(-6)*(1 - 1). Solve -4 = y - 3*a - n, -5*y - 3*a - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-25) - ((-22)\/5 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*w**2 + 36*w**2 - 7*w**4 + 8*w**4 + (-2*w + 2*w + 2*w**2)*(-1 + 1 + w**2).\nAnswer: 3*w**4 + 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -341.3 + -44.7. Let g = d - -328.6. Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-2265014.\nAnswer: -22650.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 1\/3, 0.05, 1\/57, -0.4 in ascending order.\nAnswer: -0.4, 0, 1\/57, 0.05, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - o + 364, 2*o + 344 = 5*h - 2*o. Let x be (54\/(-2))\/((-3)\/2). Calculate the highest common factor of x and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n + 81*n + 96 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76.60000941 + 76.6. What is z rounded to seven decimal places?\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. Let y(v) = v**2 - 3*v - 5. Determine y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -8*l**3\/9 + 5107*l**2\/3 + 2554*l\/3 - 3435. Factor x(u).\nAnswer: -2*(u - 1277)*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = 4. Suppose -5*l = 2*t - 139, 2*t + 2*l - 120 = 4. Suppose 3*g = 63 - t. Solve g*k - k - v = -2, 0 = k - 3*v - u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49971344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 97872372?\nAnswer: 97872372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 181965 and 315?\nAnswer: 545895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 10 + 10)*(-4*f**2 + 4*f**2 + 2*f + f**2).\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-416)\/68 - 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249217944 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.3 and -31.2232.\nAnswer: -290.37576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.604 - -0.104. Let t = -39 - m. Which is the third smallest value? (a) 1 (b) t (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6342 and 139\/3624.\nAnswer: 25368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*k + 2*o + 552, -3*k - 2*o + 415 = 0. Let h = -103 + 131. Calculate the remainder when k is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 459 + -451. Calculate the smallest common multiple of 66 and v + (-6)\/(-15)*-5.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/60 - q**4\/8 - q**3\/6 - 4*q**2. Let t(u) be the first derivative of d(u). What is the derivative of t(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Let y(m) be the second derivative of 1\/6*m**3 + 0*m**l - m + 0. Let w(z) = -z. Calculate w(y(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**2. Let b(v) be the first derivative of -26 + 0*v - 3\/2*v**2. Determine h(b(c)).\nAnswer: -90*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 3*z - 4*z)*(-2 - 2 - 7) + 9*z + z - 6*z in the form x*z + a and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -498*c**2 + 149691*c + 278331154 wrt c?\nAnswer: -996*c + 149691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 33, 46, 1\/5, -3, 6?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -59922389401 - -0.208\nAnswer: -59922389400.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/9)\/d))\/d**(7\/6) assuming d is positive.\nAnswer: d**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**7\/2520 + i**6\/240 - i**5\/5 - 13*i**2. Let s(a) be the third derivative of f(a). Calculate s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*d - 218, d = f + 4*f - 994. Is f a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-125)*-3*5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276657238.\nAnswer: 2, 11, 13, 967333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -85491*s**3 - 413*s**2 + 413*s. Let f(i) = -415*i**3 - 2*i**2 + 2*i. What is 2*d(v) - 413*f(v)?\nAnswer: 413*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 41*z**8\/1680 - z**4\/12 + 11*z**3\/3 + 1. Let w(o) be the third derivative of x(o). Differentiate w(s) with respect to s.\nAnswer: 164*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 - 2)*(0*l + l + l) + (0 + 2*l + 0)*(1 - 1 + 2))*(369*l**2 - 355*l**2 - 1 - 1) to b + i*l**2 + g*l**3 + u*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 2, 3\/65 in increasing order.\nAnswer: 3\/65, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 98*q**4\/3 - 3808*q**3\/3 + 38588*q**2\/3 - 10336*q + 2166 = 0.\nAnswer: 3\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 - 11*n**2 + 55 + 3*n**3 + 14*n**2 as j*n**2 + a*n + y + h*n**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q - a + 94 = 0, -3*a = -5*q + 486. What is the remainder when q is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/1291 and -43\/9037.\nAnswer: 9037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 5. Let r(t) = t + 8. Let j be (-90)\/20*4\/6. Let h(m) = j*r(m) + 4*w(m). Give h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2628 and 44092.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6760)\/(-32))\/(6\/16). Let x = 563 - s. Which is smaller: x or 5.9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l + 92. Suppose 4*i - 34 = -5*m, 3*m = 7*i - 3*i + l. What is the remainder when 19 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjizmin. Give prob of picking 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 431974583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2905.176768 rounded to the nearest 10?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 223, 217, 193, 145, 67?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-99)\/(-154))\/((-120)\/(-56)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g - g)*(8 - 9 - 18*g - 15*g)*(250 - 202 + 102).\nAnswer: 9900*g**2 + 300*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607721 is divided by 3339?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11574 - 23*x + 9266 + 2308.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 4. Let n(c) = -c**3 + 18*c**2 - 18*c - 10. Let k be n(a). Suppose 0 = 2*q + 5*w - 4 - 154, 0 = 5*q + 2*w - k. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgc when three letters picked without replacement from gcqsqgg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 5*q. Let t = 735.28 + -735.68. Which is the closest to q? (a) -5 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44398080, 44398079, 44398078, 44398077, 44398076?\nAnswer: 44398075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 6)*(5 + 5 - 5)*(-3*i**5 - 3*i**5 + 4*i**5).\nAnswer: -40*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*r = 2*r - 5, -r = -4*s - 4. Which is greater: -0.4 or s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 4*m**2 + 10*m + 2. Let h(v) = 4*v**3 - 16*v**2 - 37*v - 9. Let j(x) = 4*h(x) + 15*y(x). Give j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*4*(-17 + 0 + 16). Let l(t) = t - 1. Let k be l(3). Suppose g = 2*c + 6*g - 13, -k*g + 14 = 3*c. Is u < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1780\/(-4275) - 24\/(-228). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*m**3 - 49*m**3 + 71*m**3 + 206*m**3 + 117*m**3.\nAnswer: 685*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + -7. Let p = -7 - h. Calculate the remainder when 117 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) 2 (d) 3301 (e) -0.02 (f) 1.62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**4*n)\/n*n)**25\/(n**7\/n*n*n\/((n**(-8)*n)\/n)*n))**(-1\/62) assuming n is positive.\nAnswer: n**(-133\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 378*s - 3. Give f(3).\nAnswer: 1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - p**2 + 6*p**2 + (-5 + 5 - 2*p)*(2*p - 6*p + 3*p) + 6*p**2 - 9*p**2 - 6*p**2 - 1 + 1 - 2*p**2 as j*p**2 + x*p + q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 767160, 3068669, 6904510, 12274677, 19179164?\nAnswer: 27617965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.2. Let k be (-6)\/(-14)*(-82)\/(-82). Which is the nearest to 3? (a) f (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9) - (-4)\/(-18). Suppose c*r - 15 = -5*r. Suppose 124 = 5*z + t + 19, 3*z - 63 = -r*t. What is the highest common factor of 231 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1225222 (base 7) to base 9\nAnswer: -260527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 5*y**2 - 5*y + 20. Let x(b) = -b**2 - b - 1. What is i(q) - 5*x(q)?\nAnswer: q**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523*j**3 + 4 - 3 - 526*j**3 to the form u*j**2 + o*j**3 + l + y*j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(4*n + 2*n - 2 - n)*(105 + 97 - 13).\nAnswer: -945*n + 378","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let n be -1 + 3 + -2 + (-12)\/(-4). Suppose -2*a + 110 = n*a + 5*z, 4*a = -5*z + 89. Let y(v) = 15*v + 9*v**2 + a*v - 36*v. Give y(j(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1537732 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:45 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33799 is divided by 169?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*i - 214, 2*n + 13 + 87 = i. Calculate the greatest common divisor of i and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w + 0*w - 2*w)*(5 - 5 - 2*w) + w - w + 3*w**2)*(-2*w + w - 3*w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by (-5 - 2) + 13 + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3\/3 - 9. Let m(s) be the first derivative of 0*s**2 + 0*s - 3 + 2\/3*s**3. Give c(m(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89 + 88.63. Let z = 23.07 + -23. Let y = z + n. Which is the closest to -0.1? (a) -3\/7 (b) y (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 + -27 - (4 - 0)) + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 7*v - 64. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41654 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -16071.29?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24515351219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505, -1708, -3707, -6502, -10093, -14480, -19663?\nAnswer: -25642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c. Let w(p) = -7*p. Let j(b) = -3*t(b) + 2*w(b). Let v(f) be the first derivative of 7*f**3\/3 - 1552. Calculate v(j(d)).\nAnswer: 112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85804 - 55857. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166132 - -643109. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 32*j**3 + 2*j**2 - j - 1. Calculate the remainder when 60 is divided by k(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8898 and 924.\nAnswer: 1370292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 7*h - 6. Let c be p(4). Solve c*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -6*d**5\/5 - 37*d**2\/2 - 37*d. Differentiate w(u) wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29213 - -137430. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-6) - (-6)\/144*-8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171329573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.4757*-29.7.\nAnswer: 1320.92829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12144520?\nAnswer: 2, 5, 303613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -195*d - 17722. Determine j(-93).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581817?\nAnswer: 7, 271, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50211, -100764, -151325, -201894, -252471?\n\"Answer: -4*h**2 - 50541*h + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161936 is divided by 32384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 182 = -r + 53, 0 = 3*r - 2*g - 691. Let t = 317 - r. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, -4, 67271.\nAnswer: -13, -4, -3, 67271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 + g**2 - 331*g - 2*g**3 + 338*g to the form h*g**2 + j*g**3 + m*g + d and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 15192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15610245?\nAnswer: 3, 5, 7, 148669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15157616, -15157611, -15157604, -15157595, -15157584, -15157571?\n\"Answer: u**2 + 2*u - 15157619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r**2 - r - 28. Let y be v(0). Let j be (-8)\/y + 41089\/(-168). Let x = j + 722\/3. What is the common denominator of 45\/4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8018, 12922, 17826, 22730, 27634?\nAnswer: 32538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 50\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awtrarwwawarawwwrtt. What is prob of sequence wt?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 3 + (0 - 37 + 17)*(29 - 53 - 42))*(k**3 - 5*k**3 + 2*k**3) as x*k + q + n*k**2 + w*k**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 766329, 766385, 766443, 766503?\nAnswer: 766565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116603 is divided by 147.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 98*h**3 - 11*h**2 + 5*h + 4. What is the units digit of t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - -6. Let s = 8 - l. Which is the smallest value? (a) -2\/11 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-943)\/(-3485)*-34)\/(((-24)\/10)\/2).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -71, -109, -163, -233, -319?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58835 - 58838. Let v = 0.08 + 0.92. Which is the fourth smallest value? (a) v (b) -0.5 (c) -5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15742, -15778, -15814, -15850, -15886?\n\"Answer: -36*j - 15706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.39 + -52.99. Let u = -14.3 - t. Let q = -38.300291 + u. What is q rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49326481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 4*u + 4. Let y(k) = -k**2 - 8*k + 4. Let o be y(-8). Let q be l(o). Sort q, 5, -5.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0*t + 3*t - 107 + 107 + 42*t - 1 + 1 - t + (1 + 1 - 4)*(2 - 2 - 2*t) + (-1 - 3 + 3)*(4 + 2*t - 4) + 3*t + 1 - 1 + 0*t + 3*t - 6*t.\nAnswer: 45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -23, 7, 71, 181, 349, 587, 907?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/24*14 + 11\/(-2))*2. Solve -5*c + 2*c = s + 12, -3*c - p*s = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 110*o**2 - 8*o - 14. Let w(f) = -f**2 + 2*f. Let p(u) = h(u) + 4*w(u). Differentiate p(s) wrt s.\nAnswer: 212*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163648963 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375914.\nAnswer: 2, 7, 11, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -55*d + 2654. Calculate s(48).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1848234113 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121402 in 5, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - 0) - (-45 - -42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1283)\/(-102) - (-743242)\/(-58677)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-3)\/(-9)*1329. Let h = d + -230. Solve h*l - 112*l - 106*l + l**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129*j + 65 with respect to j.\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(2 - 87\/42). Let p be y\/4*(-24)\/14. Does 17 divide ((-8)\/10)\/(p\/(-255))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 25 - -17) + 18.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + (-5 - -4 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 0, 5*i = 5*t + 526 + 629. Calculate the smallest common multiple of 441 and i.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**3 + 7*z**2 + 3*z - 7. Let n(u) = -u + 9*u**3 - u**2 + 14*u**3 - 26*u**3 + 3 - 2*u**2. Give 3*h(w) + 7*n(w).\nAnswer: -3*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + (-132)\/(-20). Suppose -2*n - 43 = -p, n - u*p = -2*p - 44. Let c = n + 51. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxvwvxxxvxxxxxxvxxv. What is prob of picking 3 x?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 8*d + 5. Suppose d*k = -g + 58 - 8, 51 = 4*k + 3*g. Solve -s = k - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.026 + 3.026. Let i be 2\/(-6) + 2\/(-30). Let y = 31\/9 - 28\/9. What is the closest to y in n, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 + 14*f**2 - 6*f + 15. Let o(k) = 2*k**3 + 5*k**2 - 2*k + 5. Calculate 8*o(s) - 3*u(s).\nAnswer: s**3 - 2*s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 185 = -50*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 121?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x + 28 = -x + 17*x - 4*k, 4*x - 9 - 293 = 26*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*2*(2*sqrt(1377) + sqrt(1377))*3.\nAnswer: -810*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2. Suppose -2*q - 8*l = -9*l - 12, -18 = -3*q + l. Suppose -q - 2 = -k. Let j(a) = 8*a**2 + 3*a**2 + 0*a**2 + k*a**2. Determine h(j(t)).\nAnswer: 1083*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*m = 611*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/211227 and 28\/3501?\nAnswer: 633681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 0.24. Let q = s + 0.02. Let h be 22\/(-55)*(-20)\/(-7). Which is the biggest value? (a) 0.2 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*4\/(-2). Let s(z) = 8*z**2 - z + 2. Calculate the remainder when s(o) is divided by (-4)\/14*189\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:02 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:56 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 4. Let g be h(-11). Let a(l) = 5*l - 52. Calculate the least common multiple of a(g) and 5.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p - 182. What is z(-19)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = 3*i, -i = i - 4. Let j(c) be the first derivative of -1 + c**k + 0*c - 2\/3*c**3. Factor j(g).\nAnswer: -2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 6. Let n be t(-6). Suppose n*u - 2*u = -4. Which is the second smallest value? (a) -2 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:36 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7683*f**4 - 1241*f.\nAnswer: 92196*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w*w\/((((w**(1\/9)\/w)\/w)\/w)\/w))**14)**(-29\/5) assuming w is positive.\nAnswer: w**(-10556\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, x: 11}. What is prob of picking 3 x and 1 a?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -488 + 532 - (1 + 36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.02 (c) 0.3 (d) -25 (e) -2 (f) 15.978\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4108 - -3942.02. Round x to the nearest integer.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*f - 5 = 0, z - f - 33 = -23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-17\/3)*g)\/g**(-1\/16))**(-25\/4) assuming g is positive.\nAnswer: g**(4325\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*k - 205, 0*k + 2*k = 10. Suppose -7*g + 19 = -b. Solve 0 = 3*j - 7*j - g, 4*y + 6 = -j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -974\nAnswer: -2\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 - 13*s**2 + 10*s. Let b be (-14)\/(-4)*(-6)\/(-3). Let c(w) = 0*w - 7*w + 9*w**2 - w**3 - 2*w**3. What is b*c(f) + 5*o(f)?\nAnswer: -f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -391*n*v*y**2 - 4*n*v*y + 2*n*y + 6501*v*y**2 + 295*v*y - 238 wrt y?\nAnswer: -782*n*v + 13002*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2416727 take away 26472897?\nAnswer: -28889624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 1 + 0)*(-336*j + 334*j + 2 - 6)*(-4*j + 2*j - j) to v*j + y + m*j**2 and give v.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -912, 200, 3218, 9096, 18788?\nAnswer: 33248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((96\/(-3) - -2) + 4). Suppose -39*y - 858 = -n*y. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -1111001000000?\nAnswer: -1111001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365 = -2*p - 371 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -381 + 377. Which is the nearest to 1? (a) i (b) 1\/2 (c) 2\/9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.09, 1, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 84*a**2 + 2*a + 145. Determine l(-84).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 3 (b) -44 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -10, -8120\/167?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 2391 - 2344 = 1720 - 7511 for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -15*r + 195. Let t be (-2)\/36*(-198)\/r. Sort 8, t, 2\/5, -1\/2.\nAnswer: -1\/2, t, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 108 = 2*u. Let x be (-8)\/u*3\/2. Suppose 4*k + 5*z + 28 = 9, k + 2*z = -7. Is k at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)\/p*p)\/(((p**(-12)*p)\/p)\/p))**(4\/7) assuming p is positive.\nAnswer: p**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17517573 + 17517573 + 225*s**2.\nAnswer: 225*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 50 = 5*v, -7*v - 40 = -2*v - 5*t. Let f be -3 + (-1*72)\/(-4). Let j = f + v. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 + -0.171117065.\nAnswer: -413.171117065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 38*u**2 - u + 1. Give p(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -6\/11, 2\/3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261 - 52. Suppose 0 = 5*h - 11 - u. Suppose 5*l - h - 251 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 2*d + (-4 - 7 + 4)*(-5*d + 26*d + 31*d))*(5 + 8*d - 5).\nAnswer: -2896*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 524 = 3*c, 64*q = 61*q + 3*c - 1614. Sort 3, q, 2, -3, -1 in descending order.\nAnswer: 3, 2, -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020222 + 1111?\nAnswer: 11022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18327393, 18327392, 18327389, 18327384?\n\"Answer: -h**2 + 2*h + 18327392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/15 + (-18)\/(-10). Suppose w - 163 = -q*w + d, 3*d = -5*w + 281. Suppose w = 3*x - 2*a + a, 5*a = x - 23. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-3)*24\/144\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - (-20 - (-52 - -33))) + (1 - 9)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 18 = 4*q - 3*r, -3*r - 12 = -3*q. List the prime factors of q\/2*(-32)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19229 + -7619. Is 73 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2 + 343\/84)*-1.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 22 = 2*i - 0, 35*h = -4*i + 126 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 458092 and 68462172?\nAnswer: 6452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in -5, -2\/5, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -5*o. Let r be (-11)\/(-12) - (-2)\/(-3). Which is the biggest value? (a) o (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 5) to base 11.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28912427 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/150*(-27)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 n, and 1 q when four letters picked without replacement from {t: 1, k: 2, q: 7, n: 8}?\nAnswer: 49\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) - (sqrt(15)\/sqrt(3))**2*-2 - sqrt(5)) - (2 + sqrt(500) + -5).\nAnswer: -10*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-2))\/9)\/((-1)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3680 + 5*y + 3680.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3900 and 250.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (35 - 14) - (-21 + 5 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2481172.\nAnswer: 2, 19, 32647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 0*r = 0. Suppose r*c - 3*c = -24. Solve 0*q + 4*z - 10 = q, -4*z = -2*q - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 588?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 10. Suppose 10*l + 5*x = 6*l - 23, 4*l + 2*x + 14 = 0. What is the closest to g in 4\/9, l, 2\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -25*f**2 + 5*f - 3. Let h(p) = -p + 1. Let c(o) = -3*h(o) - j(o). What is the second derivative of c(n) wrt n?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l - 25. Suppose w = -4*k + 34, l*w = -3*k - 0*k + 34. Calculate the highest common divisor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(150)*-2).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/14 - (-2)\/(-7). Let q = 1 + u. Solve -q = b, 3*s + b = 5 - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**3 - 264*f**2 - 13*f - 144. Determine b(66).\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1929893 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18227*c**5 - 8936*c.\nAnswer: 364540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*x - 774, 2*c - 324 - 72 = -4*x. Calculate the remainder when c is divided by 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o = 58*o + 3. Let g = -3 - -5. Suppose 2 = g*k - 2. Solve -k*h - 1 = -o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkak when four letters picked without replacement from nkkkaka.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22256, 22248, 22238, 22226, 22212?\n\"Answer: -v**2 - 5*v + 22262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 divided by -69?\nAnswer: -201\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/1*(7\/2)\/(-63*(-15)\/270).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*m + 47158 + 52400. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 5*o + 18. Let c be u(-4). Solve 3*s - 11 = -c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*q + 218*q - 118*q to k + j*q and give j.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 16.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 + 3*h**4*n - 20*h**2 + 4*h*n - 138*h wrt h?\nAnswer: 20*h**3 + 36*h**2*n - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xal when three letters picked without replacement from axxlaxaal.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**3 + 5*w**2 + 4*w + 5. Suppose 11 = z - 1. Let i = z - 7. Let p(q) = 6*q**2 + 12 - 6 - 4*q**3 - q**3 + i*q. What is 6*b(r) - 5*p(r)?\nAnswer: r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95478855 by -31826285.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/7 + 108*d**2 + 69906*d\/7 - 291848\/7 = 0. What is d?\nAnswer: -191, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40793 <= 40793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40276000 rounded to the nearest 100000?\nAnswer: 40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56886 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918107.\nAnswer: 3, 19, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6479463 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 5)*(0*t + 3*t + 0*t).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + 40. Let v(i) = 5*i - 10. Let t be v(r). Suppose -t = -3*h + 30. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.855*155.07.\nAnswer: 132.58485","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 + 2*k**2 - k**2)*(41*k + 7*k + 6*k)*(-119 + 119 + 69*k + (-4 + 3 + 2)*(-1 - 2*k + 1)) as m*k + s*k**4 + d*k**3 + l*k**2 + p and give s.\nAnswer: -3618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 + 163670*m**3 - 6*m**2 - m - 869937.\nAnswer: -40*m**3 + 982020*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c + 2 - 18 - 13*c + (2 - 7 + 0)*(2*c - 2*c + c) as g + m*c and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.1, 3 in descending order.\nAnswer: 3, 1\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - o - 4*p + 19, 3*o = p - 35. Let w = 21 + o. Is (-2)\/10 - (-122)\/w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231200?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 38 = 24. Which is the nearest to -1? (a) 1\/4 (b) -0.3 (c) m (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u - 2. Let h be g(2). Let k be ((-12)\/h)\/(2\/(-68)). Let m = k + 12. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 - 30 = -g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281 - 282. Which is the closest to q? (a) -0.03 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from ssvsuvvuuiuvssus?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 284*i**4 - 11*i**2 - 90*i - 11. Let z(w) = -57*w**4 + 2*w**2 + 18*w + 2. Let d(s) = -2*k(s) - 11*z(s). What is the second derivative of d(x) wrt x?\nAnswer: 708*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1.6 (b) 5 (c) -40 (d) 3\/4 (e) -4\/13 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*w = -2 - 44, p + 5*w = 37. What is the lowest common multiple of -2 - 22\/((-1)\/1) and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 0, -291, 0.1, 3, -26, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/7 + 69*g**4\/7 + 9*g**3 - 337*g**2\/7 + 204*g\/7 = 0. What is g?\nAnswer: -68, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 2. Let z(o) = -18*o - 177. Calculate 5*f(y) + z(y).\nAnswer: -3*y - 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3250*p - 201320 = -3940*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2\/37)*m*m**(-11))\/(m**(-8)*m\/(m*(m**12*m)\/m*m)) assuming m is positive.\nAnswer: m**(446\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**5\/5 + 254*z**4 + 13*z**3\/3 - 3*z**2 + 21*z + 4877. Find the third derivative of w(d) wrt d.\nAnswer: 24*d + 6096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1494537 and -0.5.\nAnswer: 1494536.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*4 + 0. What is the lowest common multiple of u\/16 - 79\/(-8) and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 8*s + 35. Let h be o(6). Solve -a = k - 3, 3*a - 6*k - h = -2*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -9. Let d = 3 - w. Let g = 0.1 + -0.3. What is the third biggest value in -1\/4, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fac when three letters picked without replacement from adladlscf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92766531.\nAnswer: 3, 11, 13, 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3\/7, 0.1, -6.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 24*x**2 + 19*x - 167. Determine u(-25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 579776493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 2*h**2 - 6*h + 8. Let p be v(-4). Suppose 28*z - 22*z - 3774 = p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 4)*(-2 - 1 - 1)*(2 - 2 + 2*m)*(2 - 3 + 2) - m + 3*m - 3*m.\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + o - 9 - 1 + 2 as m*o + p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -768, -2068, -4224, -7236?\n\"Answer: -428*b**2 - 16*b - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/5 - 229\/15. Let a = 62 + -66. Is a > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3\/3 + 3*v**2 + 2*v + 3. Let o be s(6). Suppose -5*l + 15 = o*q - 15, -4*q = -5*l. Solve 0 + 20 = q*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17891 or 17892?\nAnswer: 17892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*s**3 - 18*s**2 - 36*s**2 - 33*s**2 + 86*s**2.\nAnswer: 366*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Solve 5*l = 5*o - 20, m = 4*l - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l, -2*l + 183 = 4*m - 7*l. Let n = m - -17. Suppose 2*j + 24 = 4*u, 6*j = -5*u + 2*j + 56. What is the highest common factor of u and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 1215?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -25. Let n be ((-20)\/50 - 6\/10)*1. Let i be 7\/7 + (n - -11)*1. What is the highest common divisor of y and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/11 and -149\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -640 + 10876\/17. Which is the smallest value? (a) 2.6 (b) 1\/2 (c) -3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 320010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2411521 + -6?\nAnswer: -2411527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57893695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 12 - 3*k + 4*k)*(-65 - 12 - 14).\nAnswer: -91*k + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = -4*w, -d - 4*w + 2*w = 4. Let b = -3 + d. What is the second derivative of 66*m + 0 + 0 - 63*m + 6*m**b wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 6)*(-24 - 20 - 13)*(6*z**4 + 9*z**4 - 7*z**4) as i*z**3 + r + q*z**4 + f*z**2 + p*z and give q.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 9*i - 8. Let t be s(8). Let g be 0 - (t\/(-1) + -1 - -4). Calculate the common denominator of 6\/27 - 139\/(-297)*g and 15\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*n, d + n = -0 + 2. Is 12\/7 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 9:53 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66880 and 5168000?\nAnswer: 56848000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**2 - 22 + 0*p**4 + 0*p + 0*p**3 + 1\/20*p**5. Let a(k) be the first derivative of 2*k**3\/3 - 3. Calculate u(a(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40388, 323231, 1090968, 2586047, 5050916, 8728023, 13859816, 20688743?\nAnswer: 29457252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10577244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1991 divided by -34.\nAnswer: -1991\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8373 - 8315. Calculate the lowest common multiple of 152 and d.\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 16 = 4*g, 28 - 1 = g + 7*t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-219)\/15 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 6*h - 7. Let k be j(5). Let o be k\/(-14)*2\/(-3). Let c(x) = 2*x - x**3 - 2*x**3 + 0 - 3 - x**2 + 2*x**o. What is c(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -38, 0.3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2377300 to the nearest ten thousand.\nAnswer: -2380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (8 + -16)) + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**4 - c**3 - c**2 + c + 2. Let g(s) = -68*s**4 - 6*s**3 - 6*s**2 + 75*s + 11. Let k(t) = g(t) - 6*w(t). What is the second derivative of k(o) wrt o?\nAnswer: -888*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 31 = 59 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a + 5*q + 135 = 0, -2*a = 3*q - 64. Suppose 4*k - a = -2*x + 9, -4*k + 23 = -x. Let c be k*3\/(42\/4). Solve t + 3*p - 5*p = -3, 0 = -c*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 59 - 16 = 0. Let y = c - -74. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2164, -2160, -2152, -2140?\n\"Answer: 2*i**2 - 2*i - 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 422339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2016537260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let u(c) = -183345221*c. Determine u(r(k)).\nAnswer: 183345221*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -13633?\nAnswer: 13634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f = 86*f + 264 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/453144 and 71\/192156.\nAnswer: 30360648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = 0, 5*t + 0*q + q = 677. Suppose 2*j = -40*n + 41*n + 275, 0 = j + 4*n - 133. Do j and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -983*u - 20. Let r(p) = 992*p + 16. Determine -5*r(n) - 4*t(n).\nAnswer: -1028*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -253, 2.5, -9, -1\/109?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 285*g**3 - 2 + 5.\nAnswer: -285*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-114)\/(-10) + (-33)\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3925 divide 135428200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(567) + -2*sqrt(567))*2.\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -87*a - 430. Let r be o(-5). Solve -l = r*m + 20, 3*l = -4*m - 17 + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 848*b - 338. List the prime factors of z(4).\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 446, 448, 450?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/346644 and -131\/108?\nAnswer: 1039932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-8)*(-2)\/(-1). Calculate the common denominator of 63\/16 and (-833)\/w*(-1)\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 take away 0.07698235228?\nAnswer: -14.07698235228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 74*q + 17*q + 1 - 3.\nAnswer: 91*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*d = -3312, 0*s - 5*s + 3308 = -2*d. Suppose -4*v - 2*o = -1290, v + s = 3*v + 4*o. Calculate the greatest common divisor of 32 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 918 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 2*u**2 + 4*u. Let j be 6\/(-15) - 17\/(-5). What are the prime factors of d(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14175 - -23824. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/10538 and -51\/2926?\nAnswer: 1401554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k - 3*l, -5*k + 34 = 5*l + 9. Suppose -2*n = -3*u + 5, 3*n - 3 = 2*u + 2. Solve -t + 5*t - 4 = 2*m, -5 = n*m - k*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1920)\/(-672))\/((2\/(-3))\/(98*16\/168))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000354312076 rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z + 42. Calculate the lowest common multiple of q(0) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 - 18 + 12*v**4 + 17 - 2*v**2 - 92*v**3 + 47*v**3 to the form o + a*v**4 + r*v**3 + b*v**2 + j*v and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 26358 - 166660 = -38*i. What is the greatest common factor of 41 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let t(c) = 15*c**2 - 15. Let z(g) = 8*g**2 - 6. Let b(m) = -2*t(m) + 5*z(m). Determine b(h(o)).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-9))\/(-5)*12\/176.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 6*v - 720. Suppose t = -k + 29 + v, 0 = 2*k + 8. What are the prime factors of t?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.2, -9, -2\/7, 16\/3 in decreasing order.\nAnswer: 16\/3, 0.2, -1\/8, -2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359849 + 506667473\/1408. Calculate the common denominator of k and -45\/1936.\nAnswer: 15488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**3 + 4*t**2 + 17*t. Let j(l) = -4*l**3 + 2*l**2 + 9*l. Suppose -x = -6*x + 165. Let o = x + -27. Determine o*p(n) - 11*j(n).\nAnswer: 2*n**3 + 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34189616 is divided by 395?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)*i*i\/(i*i**(-10)*i)*((i\/i**(2\/7))\/i*i)**1)**10 assuming i is positive.\nAnswer: i**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35885238 to the power of 1\/2, to the nearest integer?\nAnswer: 5990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*r + 3417, 3427 = 4*u - 5*r + 6*r. Does 33 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d6 (base 14) in base 7?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -0.144 (b) 127 (c) -1\/8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-4) + (-6)\/8. Suppose -3*b + 0*b + 4*n = -1, 0 = 2*b - n + i. Let k = 2 - b. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = -24 + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 17*p**2 - 19*p - 42. Let j(q) = q**3 - q**2 + 2*q - 16. Let k be j(0). Determine o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*z + 115. Let r = 41 - z. Let t = -8 - -8. Solve r = -2*v - t + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2 = -5*u, 100 - 106 = -3*u + 3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -146, 45, 3 in descending order.\nAnswer: 45, 3, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9742.965t in grams?\nAnswer: 9742965000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 11*z + 1. Give u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 22. Let x(f) = 2*f**2 - 8*f - 13. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 793*p**9\/168 - p**5\/12 + p**4\/24 - 157*p**3\/3 + 2324*p**2 + 4. What is the third derivative of b(g) wrt g?\nAnswer: 285480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -170*o - 56. Let k(h) = -73*h - 28. Let i(s) = 7*k(s) - 3*r(s). Determine i(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5887)\/(-3364)*((-3)\/(-66))\/(3\/(-24))?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/2 in -0.1, 382330, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/47 (b) 3\/2 (c) -1\/3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-268173)\/(-830)*(-45)\/4. Let u = y - -3628. What is the common denominator of u and -19\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1 + (-6)\/(-15)). Suppose x + 8 = n*x. Solve -5*r + 5*i = 25, 2*r - 4*r = i - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 16373, 60483, 146373, 287969?\nAnswer: 499197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1750)\/56 + 3729\/113.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/24 + 2*q**2 + 803*q. Let h(w) be the third derivative of 0*w**3 + 0 + 1\/24*w**4 + w**2 + 0*w. Give h(u(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus -305477?\nAnswer: 305476.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2143*z + 855. Is o(-112) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 119, 122, 125, 128, 131?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n. Let m(q) = 17*q**2 - 13*q + 13. Let s(y) = 4*y**2 - 3*y + 3. Let w = 3 + 3. Let t(p) = w*m(p) - 26*s(p). Give t(u(l)).\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:51 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1910790 and 3821580?\nAnswer: 3821580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwhwwwwwwwwwhwhww. What is prob of picking 1 w and 1 h?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c + -12?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0 + 0*x + 3 - 2*x. Let h(n) = -1. Suppose 3*v + 5*q = v + 11, -3*v + q = -8. What is v*h(m) + i(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -77*h**5\/45 - 389*h**4\/36 - 10*h**3\/9 - 1819*h**2. Factor y(a).\nAnswer: -2*(2*a + 5)*(77*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 1. Let a(s) = 15*s - 12. Let b(f) = -3*f + 4*f + 4 - 6*f. Let t(p) = 4*a(p) + 11*b(p). Let m = 5 + -2. Determine m*q(n) - t(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h\/(h*h\/h**(-4)))**(-7\/5) assuming h is positive.\nAnswer: h**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2085.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6445 plus 44082.6?\nAnswer: 50527.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5385 + 5478. Is 93 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, -949, -2119, -3285, -4447?\nAnswer: -5605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13135*s**2 - 34279*s wrt s.\nAnswer: -26270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8217*h - 11230*h + 5568*h - 1141 with respect to h.\nAnswer: 2555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**4\/6 + a**3\/3 - 132*a**2 + 219*a. Differentiate j(b) with respect to b.\nAnswer: -4*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1405*j + 1944*j - 277*j - 371*j)*(-2*j - 2*j + 6*j) to c*j**2 + w + o*j and give c.\nAnswer: 5402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136.9 - -137. Sort 3\/4, -2, g, -4 in decreasing order.\nAnswer: 3\/4, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**3\/6 - 5*w**2\/2 + w. Let o be l(-7). Let 3*k**2 - k**o - k + 9 - 10 = 0. What is k?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 540, 3\/2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9847272*c**2 - 7045888*c.\nAnswer: -19694544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.4 - 4. Let p = -0.1 - m. Let o = p - -2.1. Which is the second biggest value? (a) -0.2 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 6*t. Let k be a(5). Let n be (-80)\/(-35) - (-4)\/(-14). Let p = n - -28. What is the highest common divisor of p and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 12:29 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320081, -319739, -319397, -319055, -318713?\nAnswer: -318371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - -2410.\nAnswer: 2410.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 28. Let o be r(-48). Solve -5*l + 5*q = 30, l - 4*q = -2*l - o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.4 or 455215?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w**(-6)*w\/((w*w*w**12)\/w) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*i + 33, 5*i = -2*g + 2*i + 22. Suppose 0 = -g*u + 2*u. Suppose 0*d + 4*d - 32 = u. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770021955*s + 1540043914*s - 770021957*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by 416\nAnswer: 113\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - 8*m - 2. Give k(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.6 > 28173.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*t + 84*t + 72*t + 81*t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*k - 5 + 8, 0 = 4*i + 4*k. Solve -i*w = -3*o, 3*o = 2*w - 7*w + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72066, -72039, -72000, -71955, -71910, -71871, -71844, -71835?\nAnswer: -71850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + 3*t**3 + 3*t**3)*(850956 - 5841*t - 850956).\nAnswer: -11682*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3.08 + 21234\nAnswer: 21230.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -1ccc475?\nAnswer: -1ccc476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -5)\/((-1)\/17). Let p(a) = 7*a**2. Let f be p(-2). Let n = -24 + f. Solve n*z + i = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3341 or -3340?\nAnswer: -3340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/2)\/(-14 - 9515\/(-680)). Calculate the highest common divisor of 425 and d.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*p = -22649 + 70085. Suppose -17 = -4*r + 43. Calculate the remainder when p is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14204329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + m + 0*m)*(-14 - 4*m + 14)*(-12 + 12 + m).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9082439, -9082436, -9082431, -9082424, -9082415?\n\"Answer: v**2 - 9082440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*((3 + 0 - 1)*(0*w + 0*w - w) + (2 - 1 - 3)*(2*w - w - 3*w))*(-316 - 183 - 13694*w + 13696*w).\nAnswer: 8*w**2 - 1996*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26 and 10.5.\nAnswer: 36.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:34 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (53 - -7) - -98?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 397, 596?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 3*y + 2. Let l be p(4). Let r = -3 - l. What are the prime factors of r\/5 + 230\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.76, 143, 16, -4\/7, -4\/3, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2943*r + 903*r + 5619*r + 183*r.\nAnswer: 9648*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2205957 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -428 + 716. Suppose 2*f - g = -2*f. What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*r**3 - 162\/5 + 198\/5*r - 38\/5*r**2.\nAnswer: 2*(r - 9)**2*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694508 is divided by 1069?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*p**2 + 8*p + 86\/11.\nAnswer: 2*(p + 1)*(p + 43)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556494720 divided by -960?\nAnswer: 579682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknknnnnnnnnk. What is prob of sequence nknk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 34*y - 49. Give u(34).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00848969 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/(b**(1\/22)*b))\/((b**(-8)\/b)\/b**(20\/9)) assuming b is positive.\nAnswer: b**(9877\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z + 334*z**2 + 25*z + 18*z - 54*z to w*z + p*z**2 + y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = -8. Suppose 0*j - 21 = -3*o - 5*j, 3*o + j - h = 0. Suppose 3 = -3*x, 4*x + 30 = 4*d - o. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19514*r + 9717*r + 9796*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/9 + 317\/18. Let g = 589\/5 - 119. Calculate the common denominator of g and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -c + 24, 77*c = 3*q + 75*c - 15. Solve -4*n = 8*t - q*t - 18, 3*n = -5*t + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 12*r = -9*r - 15, 0 = 4*h - r - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*i - 3*h + 69, -4*h + 36 = 2*i. Let z(y) = 13*y - 117. Let g be z(i). Suppose 2*s - 42 = -4. What is the highest common divisor of g and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-349.87\nAnswer: 1399.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.161023 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 246\/5. Let i = 163 + -163.2. Is i <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8460, 2, -109, 1 in increasing order.\nAnswer: -109, -4, 1, 2, 8460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -150 - 32\/3*s**5 + 298*s**4 - 1752*s**3 - 13772\/3*s**2 - 2680*s = 0.\nAnswer: -1, -1\/16, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2182*c + 8826. Is z(-11) a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 29535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 2)*(4*f**3 + f**3 - f**3) - 3*f**3 + f**3 + f**3 + 3 - f**3 - 3 to the form a*f**2 + w*f**3 + h + s*f and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33405523 (base 7) to base 3.\nAnswer: -12102222011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i. Let k(y) = 6*y. Let h(z) = 4*a(z) + 5*k(z). Suppose -2*t + 5 = 1. Let j(x) = 3*x - t*x + x. What is j(h(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*v - 4620, -4*c + 1843 = 2*v - c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 5\/4, 862\/65, -1\/4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 5*f + 4*u + 59, 0 = 2*f - 2*u - 286. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066815103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose -w + 5*o + 21 = r, -o = 2*w - 4*o - 21. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5072 - 0.5972. What is the smallest value in -0.1, -0.35, 2\/7, k, 2?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101001101000101010 (base 2) in base 7?\nAnswer: 13235161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*13\/(-13)*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 10*t**2 - 305*t - 2822. What is z(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 18*p - 19. Let j be (0 + 1)*3\/6*-16. Let g be l(j). Sort 2, g, 16 in increasing order.\nAnswer: g, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104178 - -39078. Round c to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {z: 2, q: 3, r: 3, b: 4, f: 2, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 0 - 7 + k - 1 - 212700*k**2.\nAnswer: -212700*k**2 - k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3 - 28*a**2 + 64*a - 48 = 0. Calculate a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k**2 + 7040*k - 57239. Calculate y(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 73. Let p be -2 - 170\/o - 2. Which is the third biggest value? (a) p (b) 4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2 and -7\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1515.3 - -1490.5. Is j less than or equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -49*x**3 - 8*x**2 + 320*x - 4. Let c(z) = -50*z**3 - 10*z**2 + 321*z - 5. Let a(r) = 4*c(r) - 5*d(r). What is the second derivative of a(u) wrt u?\nAnswer: 270*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.03 rounded to zero dps?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 15*s + 7. Determine q(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-7 + (-2 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = -0*h. Suppose a - 24 = x, x + 80 = h*a + 6*x. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-1))\/((-3)\/(-13143)*13). Let n = o - 187. What is the greatest common divisor of n and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4027, -4036, -4047, -4060, -4075, -4092?\n\"Answer: -h**2 - 6*h - 4020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2 + 0 + 4*u - 3*u. Let p(z) be the second derivative of -z**3\/6 + z**2 - 290*z. Determine -4*g(l) - 3*p(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:27 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/12 - 3*m**3 - 2*m**2 + 4. Suppose 3 = 3*n - 3. What is the least common multiple of u(14) and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1012.01 - -1012. What is the nearest to 1\/3 in 1, -9, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*k + 58 = 0, 5*p + 5*k = 288 - 238. What is the remainder when 2271 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4620691ug to grams.\nAnswer: 0.0000004620691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/(-16))\/(91\/26). Sort 0.2, -269, 2\/17, g in decreasing order.\nAnswer: 0.2, 2\/17, g, -269","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 103, 226, 347, 466, 583?\n\"Answer: -l**2 + 126*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 130. Let x = 99 - h. Suppose -f = -z + 15, x = 5*z - 0*z + f - 69. Is 14 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327074?\nAnswer: 2, 11, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/((-24)\/192).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.024715 * -780\nAnswer: 19.2777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8314250959?\nAnswer: 7, 169678591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -5. Let w be 65\/2 - v\/2. Suppose -62 - w = -8*k. Solve -2*f + 3*s = 7*s - k, 2*f = -2*s + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:48 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.34 in 5, -1\/8, -3\/7, 24?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**24\/u**(-17\/6)*(u*u**(-32)\/u)\/u*(u*u**14)\/u assuming u is positive.\nAnswer: u**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -7. Suppose -4*o - 3*n - 18 = 0, -3*o - n - 10 = q*n. What is the units digit of (-8)\/o + 3\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126302100 a multiple of 4332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 7, b: 1, m: 3, f: 1, k: 1}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2 - 4*w**2 - 1 - 4 - 3*w. Let l(c) = c**2 + c + 1. Determine -a(y) - 3*l(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**2 - 5\/56*w**8 + 0 - 2\/5*w**5 + 0*w**6 + 0*w**3 + 0*w + 0*w**4 + 0*w**7. What is the third derivative of c(o) wrt o?\nAnswer: -1800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-12 - -3)) + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -16*d + 3420. Suppose 0 = -4*y + y + d. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2068, 4137, 6206, 8275, 10344?\n\"Answer: 2069*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 615 - 659 - (-2 + -48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*n - 5 + 5*n - 2 + n**2 wrt n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239052, 239056, 239056, 239046, 239020?\nAnswer: 238972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.108 or -16.9?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 62*n + 935. Let i be d(-37). Solve 0 = -2*u - i, 4*x + u + 1 = -12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-1224))\/(14\/12 - 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14070\/1050 - 8\/10*-2. Solve 0 = a*r - 5*r + 50 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let b(v) = 2870*v**2 + 44*v - 2. Let h(t) = -5740*t**2 - 110*t + 5. Let k(l) = 5*b(l) + 2*h(l). Calculate q(k(a)).\nAnswer: 2870*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**5 - 2*j**2 - 2*j + 1. Let l(c) = -3*c**5 - 11*c**4 - 24*c**3 - 24*c**2 - 12*c - 4. Let x(s) = b(s) + l(s). Determine m so that x(m) = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 + -1010?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -9*y**2\/2 + 2*y - 7. Is z(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 489675 and 184350.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -24, 2, 66, 180, 356, 606, 942?\n\"Answer: 2*i**3 + i**2 - 17*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 155*x + 510.\nAnswer: -5*(x - 34)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Let c be (-2)\/(-6)*0\/4. Let a(l) be the third derivative of c*l + 0*l**3 + l**2 - 7\/24*l**4 + 0. Determine a(s(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 - 54. What is the hundreds digit of (73\/(-73))\/(1\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - -305. Suppose -6*i + q = -4*i. Suppose 7*c = 496 + i. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196 - -208)*(-1)\/(-636)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776, -6120, -20618, -48848, -95388, -164816, -261710, -390648?\nAnswer: -556208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -510 - -340. Let r = -167 - c. Solve -4*n + 2*t = -2*t - 8, 4 = -r*n + t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 21*r**2 + 94*r - 142. Let x be q(-25). Let p = 7 - -2. Suppose -12*k + p*k + 12 = 0. Solve -k*g + x*g = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1830 = -2*h - 1792. Let k = 35 - -115. Calculate the remainder when k is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-11 - (-1 + -14)). Let x(r) = -2*r**2 + 1. Let l be x(1). Let q be (l - -2)\/((-1)\/d). Solve q = -m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122012 (base 9) to base 16\nAnswer: 11fa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305 - 405. Let k be ((65\/n)\/13)\/((-3)\/36). Determine h so that 0 + 0*h + 9\/5*h**4 + 0*h**2 + k*h**5 + 6\/5*h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 3*n + 21. Let l be y(0). Suppose 21*w = 18*w + l. What is the remainder when w\/(35\/440) + 1*-3 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n + 27. Let r be 15*(11 - (-256)\/(-24)). Let f(t) = -8*t - 14. Determine r*h(d) + 9*f(d).\nAnswer: 3*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((sqrt(7) - (sqrt(7) - sqrt(28)*4))*5 - ((sqrt(196)*1)\/sqrt(4))\/sqrt(7))).\nAnswer: 78*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16ac - -c8a?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5490251467 minus -3?\nAnswer: 1.4509748533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.7 - -129.7. Let l = i - 61. Let n = -57.0046 + l. What is n rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let k = a - 0. What is the derivative of 1 - z**2 + k*z**2 + 0*z**2 wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21108*a**4*z - 5*a**3*z**3 + 365987*z**3 wrt a?\nAnswer: 84432*a**3*z - 15*a**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q - 60 = 0. Let i = 15 + q. Let a(t) = t**2 - 3*t - 14. Let x be a(6). Solve -i*y + 5*y = -x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -18 - -11 - -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/14*(-1568)\/(-448)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w - 72 = 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*o**2 - o**3 + o + 889 - 886 + 0*o**3 + 15*o**2 in the form m*o**2 + n*o**3 + k*o + r and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 4*h - 187. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) -51 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/24*1*30\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/229 (b) -2\/3 (c) -1\/27 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -888 + 911. Solve -z = -20*g + 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v. Suppose v*z = 3*z - 30. Calculate the greatest common divisor of 20 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-75)\/(-45))\/(-1 + 110\/108) and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**12*g*g)\/g**(1\/14)*(g*g**2*g*g)\/g**2)**(-3\/7) assuming g is positive.\nAnswer: g**(213\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*k - 422, -k + 3*s = 3*k - 830. Is k a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 633 - 2505?\nAnswer: -1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) -4 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/24 + 5*g**3\/6 + 29*g**2. Calculate the least common multiple of 62 and h(4).\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409 is divided by 394?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/15)\/(3\/165). Let j be (-18)\/99 + 158\/d. Let g(h) = h**3 - 6*h**2 - 4*h + 1. What is the tens digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-50)\/15) + 2385\/(-6). What is the remainder when (b\/3)\/(-2) + (-8)\/(-2) is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2820 + -2823. What is the fourth smallest value in -2\/7, -0.5, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = -203*y - 776 + 14438 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 0 = -y - 13, 4*y + d + 13 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let l = -9 + 9. Sort k, l, -4 in decreasing order.\nAnswer: k, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*539\nAnswer: 2695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:25 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16509\/2 + 165093\/20. Let s(o) be the second derivative of 0 - 9\/100*o**5 - 1\/50*o**6 - r*o**4 - 44*o + 0*o**2 - 1\/10*o**3. Factor s(q).\nAnswer: -3*q*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324421590+0.2\nAnswer: 324421590.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -463591955 plus -2.012?\nAnswer: -463591957.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/144700 and 117\/72350.\nAnswer: 144700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/28 + (-92)\/28)*-6. Suppose b*r + 2940 = 25*r. List the prime factors of r.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 2 + 2*q - q**2 + 0*q. Give n(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4606*b**2 + 5380 - b - 5380 as f*b**2 + i + h*b and give f.\nAnswer: -4606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -177, -356, -549, -762, -1001, -1272, -1581, -1934?\n\"Answer: -o**3 - o**2 - 169*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 13*k**2 + 7. Let b be h(13). What is the common denominator of 7\/3 and (-4)\/(-12) - (574\/(-66))\/b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2958 >= -1444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*a - a = -0*u, u - a = -0*u - 3 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156 + 164. Suppose 5*w + 4 + 3 = 3*b, -12 = -2*b - 4*w. Suppose -2 = 2*r - 6. Solve b*u - 2 = r*x, 3*u + 1 = -2*x - q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299166839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 481, 1957, 4499, 8173, 13045?\n\"Answer: 11*c**3 + 467*c**2 - 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-3) + 585\/81. Find y such that -4\/9*y + w*y**2 + 2\/9 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 76, 138, 222, 334, 480, 666?\n\"Answer: a**3 + 2*a**2 + 33*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + 34. Suppose 3*y - 330 = -4*g, y - 24*g + 19*g = 110. What is the greatest common factor of c and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*x + 12. Put -5, -2, x in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3992*p = 3919*p + 5840. Solve 0 = 2*h + n - 15, -84*h + 5 = -p*h - 3*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35 plus -16142345?\nAnswer: -16142345.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139360528 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 0*t**2 + t**2 + t**2 + 4*t**2 - 4*t**2 + (2*t + 0 + 0)*(0 + 0 + 2*t) + 46*t - 46*t - 12*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 4:24 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*s**2 - 19*s**2 + 28 - 25*s**2 + 7*s - 25*s**2 to the form w*s**2 + y*s + m and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2174733 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**8\/1680 + l**7\/3360 + l**6\/360 - l**5\/480 - 2*l**3\/3 + 6*l**2. Let p(k) be the first derivative of s(k). Solve p(b) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**6\/540 - d**5\/90 - d**4\/108 + d**3\/9 + 41*d**2\/2 - 23. Let l(g) be the second derivative of a(g). Let l(k) = 0. What is k?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176 - 3*x + 202 + 4*x)*(x**2 + x**2 - 4*x**2).\nAnswer: -2*x**3 - 52*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-7) - 1 - 3306\/(-14). Let i = b - 117. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/36)\/(((-51)\/36)\/(-17)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700122081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2)*g*g*g**14\/g)**11)**46)**(7\/8) assuming g is positive.\nAnswer: g**(12397\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04066 rounded to 3 decimal places?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - (-17 - 10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2091*g**3 - 3*g**2 + g - 9. Let z(q) = -4189*q**3 - 7*q**2 + 2*q - 21. What is -7*i(d) + 3*z(d)?\nAnswer: 2070*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Let d(x) = x**3 - 1. Let u(f) = -7*f**3 + 4*f**2 + 6*f + 5. Let r(g) = 6*d(g) + u(g). Is 4 a factor of r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*j**5 + 8*j**3 + 10*j - 1 wrt j?\nAnswer: -200*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54868 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2087, 2061, 2035, 2009, 1983?\n\"Answer: -26*q + 2113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j - 6 = 0. Let s = j + -1. Factor -10*h**4 + 2*h**3 + h**s + 5*h**5 + 0*h**4 + 2*h**2.\nAnswer: 2*h**2*(h - 1)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 8 + 1\/6*v**4 - 3\/2*v**3 + 0*v + 3\/2*v**2. Let q(o) be the second derivative of x(o). Determine q(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(75) + 3 + -2)*-2)**2.\nAnswer: -1824 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667831664?\nAnswer: 2, 109, 167, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -28, -16 in decreasing order.\nAnswer: 0, -16, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1\/(x*x**(-16)) assuming x is positive.\nAnswer: x**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 14) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5957*l + 5957*l - 27*l**3 + 12*l**3.\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6906870 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/140 - (-61965)\/4725.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28975224.4 rounded to the nearest 100000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.47? (a) -4 (b) -5 (c) -0.1 (d) 1\/2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Let j(f) = -f**3 - 8*f**2 + 3*f - 3. Let k be j(-9). Let p = -154\/3 + k. Which is bigger: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-2)\/(-48)). Suppose 4*m - n - 40 = 0. What is the remainder when m is divided by 1 + (-5)\/(10\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 4 = 2*b, -3*j + 16 = -5*b. Suppose 60 = -j*t + 7*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53*30\/27825*14\/(-36)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -8. Suppose k + 1 = -i. Let h be -1 + k + 3 + 1. Solve -2*x - h = 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743*d = -207*d - 72200 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhy when three letters picked without replacement from {y: 17, h: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2232, -4473, -6714, -8955, -11196?\n\"Answer: -2241*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7776 and 20992.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 7:19 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + (-5)\/30 + 1. Let z be -1 + 0\/(-1 + 2). What is the second biggest value in z, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10694 rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 32*c**2 + 251*c - 12. Give f(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from {c: 1, a: 5, p: 1, b: 2}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-92)\/18 - (-8 + 2). Let b = -3 - -3.4. What is the fourth biggest value in 4, -3\/2, b, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -208. Let x be ((-3)\/2 - -1)*5964\/35. Let k = g - x. Which is the second biggest value? (a) 4\/3 (b) k (c) -1 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) - 871\/201. Put a, 3, -30 in increasing order.\nAnswer: -30, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y + 4*m - 343 = 0, 3*y - 335 = -2*m. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179.5 - -141. Let j = -38 - t. Which is the nearest to -1? (a) -4 (b) 1\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g + 2 - 11. Let u(f) = -2*f - 3*f**2 - 3*f**3 + 1 + 2*f**2 + 4*f**3. Give u(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s + 180779 + 606797 = 0. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a + 0*a**4 + 0*a**2 - 1\/20*a**5 + 0*a**3 + 0. What is m in l(m) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 20 = 4*z, 3*z = -0*u - 4*u + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8870, -11814, -14758, -17702, -20646?\n\"Answer: -2944*b - 5926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*k + 7678 = -351*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b - 6, -5*k = -3*b - 959. Let r = 193 - k. Solve u + 0*u = -r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnnnynnynknyy. Give prob of sequence yky.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-11)\/w)\/(w\/(w*w*w**23)) assuming w is positive.\nAnswer: w**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:28 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 15*s + 3*s)*(-10 - 2*s + 27*s - 15*s).\nAnswer: 180*s**2 - 180*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1072125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 = -3*d - 3*b, 0 = 5*d - 6*b + b - 1200. Let n = d + -150. Calculate the remainder when n is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/260*10\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13886 is divided by 176.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 485*n - 13789. Give o(27).\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxxllx. Give prob of sequence lx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 244.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehf when three letters picked without replacement from {f: 1, g: 1, w: 1, d: 1, e: 2, h: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + f + 0*f**4 + f**4 + 4*f**2 + f**4 - 2*f**2 as m*f**2 + q*f**3 + d*f + h + u*f**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 - (3 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 48440860?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(sqrt(2) + (sqrt(2) - -2*sqrt(72)))**2 + sqrt(4)\/((sqrt(40)\/sqrt(5))\/sqrt(4)) + 1.\nAnswer: -1955 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -482*p**2*q**3 - 2*p**2*q*y**2 - 260*p**2*q + 2*p**2 - 2*q**4*y**2 wrt q.\nAnswer: -2892*p**2*q - 24*q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 3*w + 3. Let t = 11 - 9. Let k be l(t). Let r(c) = -c**3 + 11*c**2 - 10*c + 19. What is the tens digit of r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 at least as big as 624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31391586 rounded to 4 dps?\nAnswer: -1.3139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -259.44 - -259. Let w = -0.74 - b. What is the smallest value in 4, -0.5, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -276, -281, -294, -321, -368, -441, -546?\n\"Answer: -r**3 + 2*r**2 - 4*r - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 117365, 3, -42 in descending order.\nAnswer: 117365, 4, 3, 2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -1\/5*w**5 - 13*w + 0*w**4 - w**2 - 277 + 28\/3*w**3. What is the second derivative of l(g) wrt g?\nAnswer: -12*g**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 776 divided by -6\nAnswer: -388\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -106*m - 176. Suppose -t - 4*n - 40 = 4*t, 3*n + 8 = -t. Does 28 divide a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1746)\/(-14259))\/(10\/(-105)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/46945?\nAnswer: -9\/46945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 15) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 5*y - 5. What is a(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-4 + (-1 + -2*sqrt(1216) - sqrt(1216)) + (sqrt(1900) + 0)*-5)**2.\nAnswer: 13320*sqrt(19) + 1873242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1000 + 1195. Calculate the greatest common divisor of 30 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 999*b + 24031. What is z(-24)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.628 * 215867.\nAnswer: 135564.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(567) + (sqrt(567) - sqrt(567)*-2)*6))**2 + -1 + (sqrt(42)\/(-2*sqrt(6)) + -2*sqrt(7) + 5)*6*-6.\nAnswer: 90*sqrt(7) + 204506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47 in -33, 8.3, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-777)\/185*(-8)\/(-28))\/(3\/(-55))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276678, -276675, -276660, -276627, -276570, -276483?\nAnswer: -276360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**12*(f\/f**11)\/f)\/(f**0\/f)**(-18))**9 assuming f is positive.\nAnswer: f**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37002 - 5802 = -780*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {d: 1, a: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 379272*d - 379268.\nAnswer: -4*(d + 1)*(d + 94817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -671160 (base 8) to base 13\nAnswer: -7ba93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996291 is divided by 723?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 1. Let c(a) = -1. Calculate 2*c(p) + m(p).\nAnswer: 4*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from dkyyddykkkyyydykykkk?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 + 28*b + 5. What is w(-7)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 588\/(-60)*(-10)\/36. Let m = y + -56\/9. Which is smaller: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000098663 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 + 7272*m**2 + 144540*m + 721200 = 0 for m.\nAnswer: -2404, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60 - 0 - ((-20)\/(-2))\/(-5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-40)\/46) - (-6)\/(-8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43255, -43254, -43253, -43252, -43251?\nAnswer: -43250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + 4 + -2 + -2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18492 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 h when four letters picked without replacement from nnhqqhhq.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14418.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000147884 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y. Let h be f(-2). Suppose -112 = -h*l + 4*l. Calculate the greatest common divisor of l and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -403*f**6\/30 + 323*f**3\/3 - 2*f**2 - 336*f. Differentiate b(n) wrt n.\nAnswer: -4836*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - 0 - (-3 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*s + 3*h, -4*h - 12 = 3*s + 2. Suppose 53 = -p + s*p. Suppose -141 = -3*k + 4*r - r, -k - r + p = 0. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 264.4 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -56*v + 5. Let x(l) = -83*l + 7. Let z(m) = 7*t(m) - 5*x(m). Let u(k) = -47*k**2 - 2*k. What is z(u(q))?\nAnswer: -1081*q**2 - 46*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7303809719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - 4*q**2 - q + 9. Let y be u(-5). Let b = -62 + y. Is 55 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(2*(1 + sqrt(11) + sqrt(11) + -2) + 4*6*sqrt(396)))**2.\nAnswer: -2368*sqrt(11) + 963790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19834029 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3 + -3 + 4). Let y(o) = -6*o. Calculate y(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249 times -1\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 21*s**2 + 4*s + 162. What is the tens digit of y(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(6\/5))\/s**12)**(2\/93)\/(s*s*s**(1\/9)\/s*s*s**12)**(-43) assuming s is positive.\nAnswer: s**(846119\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 + -612?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 315 - 167 - 162 + 420*v.\nAnswer: 413*v - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 445.1 + -423. Let t = f + -22. Which is the closest to -2\/3? (a) 2\/7 (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - v - 8. Let k be z(-5). Suppose -k*q + 120 = -16*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72612 bigger than 71932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274363, -1097270, -2468717, -4388704, -6857231, -9874298, -13439905?\nAnswer: -17554052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffflfflllffff. What is prob of sequence ff?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86816815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6064, 9951, 13838?\nAnswer: 17725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(-4 + (sqrt(19) - sqrt(171)))**2 + (sqrt(38)\/sqrt(2) + -3 - sqrt(171)\/(sqrt(18)\/sqrt(2)))**2)*-3.\nAnswer: -1413 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**6\/40 - 3*l**5\/5 + 27*l**4\/8 - 7*l**3 + 8*l**2 + 5*l. Factor m(v).\nAnswer: -3*(v - 1)**2*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-45) - (-8)\/(-24).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**4 - 66*f**3 + 427*f**2 - 676*f - 1188. Let r(t) = 4*t**4 - 22*t**3 + 142*t**2 - 225*t - 396. Let l(k) = 8*r(k) - 3*u(k). Factor l(d).\nAnswer: -(d - 11)*(d - 6)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 928843 or 928841?\nAnswer: 928843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*i - 130 with respect to i.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -b - 17, -1424*b = -1421*b + 13*p - 49 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(sqrt(272) + sqrt(272)*-1 + sqrt(272))**2*1 - 6*(-4 + (sqrt(272) - sqrt(272)*-1) + sqrt(272)))*-6*-3.\nAnswer: -2592*sqrt(17) + 49824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.61565 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -53. Which is the nearest to p? (a) -2 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1. Suppose 6*t = -47 + 41. Let q(z) = 6*z - 2. What is t*q(u) + 6*d(u)?\nAnswer: -6*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.063 - -0.063. Which is the nearest to 2\/3? (a) 0.3 (b) w (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2443 + 2597. Calculate the lowest common multiple of j and 16.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4010436*h - 30*h**2 + 36*h**2 - 8020868*h + 4010432*h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/30 - 28*h**2 - 1. Let q(p) = -61*p. Determine q(f(w)).\nAnswer: 122*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4740)\/(-660) + (-2)\/(-22)*-2. Let s(c) = -c**3 - 3*c**2 + 74*c - 24. Let d be s(r). Solve -12 = -0*q - d*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 11764*v + 35294. Give r(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 10 + 20. What is the units digit of (-68)\/b*6\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-23)\/51 + 2\/17)*3. Suppose 9 = -5*a + 4*a + 5*d, 0 = 3*d - 6. Suppose 2*k = u - 14, -2*u + 21 + 2 = -3*k. Put -2, a, u, l in increasing order.\nAnswer: -2, l, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*n + 26 = 0, 5*v - 7*n = -5*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82233 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -17*q - 230 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 617872 and 1003312?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42042861 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -4.5. Sort m, 3\/5, 1\/2, -1\/4 in increasing order.\nAnswer: m, -1\/4, 1\/2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 - 109*w**2 + 3*w + 85. What is g(22)?\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 88*n. Let y(i) = -37*i + 59. Let m(w) = 18*w - 30. Let z(t) = 9*m(t) + 4*y(t). Let x(h) = -5*h + 12. Let b(r) = 17*x(r) + 6*z(r). What is l(b(p))?\nAnswer: -88*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 22. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 15*b**2 - 12*b - 51. Let i be x(16). Let u be 4\/8*4 - -11. What is the highest common factor of u and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42746764 is divided by 971517?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/115*(-255)\/18. Let q(b) be the first derivative of 22*b + 15 - m*b**2. What is the derivative of q(s) wrt s?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 44*y + 164. Let k be c(-4). Let l(q) be the third derivative of -1\/60*q**5 - 1\/24*q**k - 12*q**2 + 0 + 0*q + 0*q**3. Solve l(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**4\/7 - 27*y**3\/7 + 27*y**2\/7 + 243*y\/7 - 486\/7 = 0?\nAnswer: -3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705822.9mm to meters.\nAnswer: 705.8229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -156, -169, -198, -249, -328, -441?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -5*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12*y + 11. Let r = 32 - 39. Calculate the remainder when p(r) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20185*w - 20250*w - 6045 = 0 for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61422 is divided by 192?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -5*z**3\/3 + 293*z**2\/2 - 10725*z. What is y(32)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2919 + 95\/6811. Let a = p - 44\/147. Let u = -7 + 3. What is the third smallest value in u, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243855149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86473 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -635 - -949?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 - 12*r - 12. Let m(a) = 5*a**2 + 12*a + 12. Let g(d) = 3*m(d) + 4*s(d). Calculate the lowest common multiple of 3 and g(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5*q**3 - 2*q + 2*q.\nAnswer: 5*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.0777 - -0.0223. Round t to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 2*x**3 + 3*x**3 - 3*x + x + 0*x. Let p be z(3). Suppose -6*f + 36 = -p*f. Calculate the remainder when 33 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198 + -186.9. Let n = -0.26 + 11.26. Let m = l - n. What is the closest to m in 0.4, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-6864)*-1*(-160)\/(-30)?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 2*h - 26, -4*i - 2*h = 152*i + 168*i - 1940 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 14*u + 8*u - 15*u as h + o*u and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -1.1, -3\/16 in decreasing order.\nAnswer: -3\/16, -6\/11, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234332 is divided by 1681.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21985361 = -50*k - 21*k + 7538498. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**5*y**(1\/10))**34 assuming y is positive.\nAnswer: y**(-663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 33*p - 244. Let f be r(7). Let z(k) = -7*k**3 - 2*k**2 + 6. Let i(y) = 3*y**3 + y**2 - 3. What is f*i(b) - 6*z(b)?\nAnswer: 3*b**3 - b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/3 - 1010315*c\/3 + 11112860\/3.\nAnswer: 5*(c - 202052)*(c - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - (-298)\/14. Which is greater: 19 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36a - 69?\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/120 + f**5\/60 - f**3\/6 + 211*f**2. Give a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 5*c + 32 = -3*k, -2*k = c + 3. Suppose -4*w + 30 = 5*n + w, 5*n + w = 14. Solve n*f + 3*f = c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15*q**2 + 9513*q + 84884. Determine t(643).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4941793 divided by 3?\nAnswer: -4941793\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*f + 0 + (4*f - 2*f - f)*(-3 + 2 + 2) - f - 2 + 2 - 1)*(2 - 2 + 3*f).\nAnswer: -9*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Let s(x) = 2*x**2 + 7*x + 6. Let p be s(b). Let a(g) = -g + 14. What is the units digit of a(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 0*q = 6, 5*n - 5*q = 25 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37422*a**3*w**2 + a*w**2 + 73*a*w + 25*w wrt a.\nAnswer: 224532*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8833, -8828, -8819, -8806, -8789, -8768?\n\"Answer: 2*j**2 - j - 8834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.24 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 + 1 + 13*d.\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1978 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*z**3 + 10243*z**2 - 10243*z**2.\nAnswer: -297*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 101010 (base 2) to base 10\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 11*c**2 + 12*c - 14. Let w be p(10). Let y be 1\/2 + w\/(-88)*10. Let h = 0.176 + 0.024. What is the second biggest value in y, h, 0.9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609247 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:00 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207 - 448 - 28 - 4*s - 58 - 11 to the form t*s + d and give d.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*m + 466 - 466 - 20*m**2 wrt m?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 0.06, 52?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((z\/(z**2\/z))\/z))*z**(-3)*z**(-1)\/(z\/(z*z**(1\/3)))*((z**(1\/4))**10)**(-3\/22) assuming z is positive.\nAnswer: z**(-661\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/7)*t*t*t\/(t**(-5)*t)*t assuming t is positive.\nAnswer: t**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (525\/(-12))\/((-3248)\/(-3712))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48721 + 81547. List the prime factors of n.\nAnswer: 2, 3, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0.3, -4660, -4\/9, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2615*h = 43305 + 60619 + 11232 - 21016 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13654*c - 6826*c - 6828*c - 12*c**3 + 3.\nAnswer: -12*c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(11 - (-248)\/(-24)). Let y(r) = -r**3 - r. Let u(j) = -j**3 + 5*j. Give p*y(d) - u(d).\nAnswer: -d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -53\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10564, -21351, -32360, -43591, -55044, -66719, -78616?\n\"Answer: -111*f**2 - 10454*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1079)\/(-12))\/((-21)\/18945). Let h = r + 81126. Let y = -31\/4 + h. Which is the biggest value? (a) -5 (b) 1\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6595*h = 6035*h + 282 + 838 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -732*q**3 + 2*q**2 + 52*q - 13. Is h(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*a + 287 - 203*a - 16*a - 318 to g*a + z and give g.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f - 4. Let z be p(5). Let w be 3\/(-2)*(-24)\/18. Let c = z - w. Solve v - 4*n + 3*n = -3, 18 = -c*v + n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y - 7*y + 4*y + (0 - 2 + 3)*(-1 + y + 1).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4*z = 112. Suppose 3*w = 7*w - z. What is the smallest common multiple of w and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10147+-23.4\nAnswer: 10123.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 3. Suppose 4*v + 40 = -4*y, 3*v - 1 - 4 = 2*y. Is p(y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/8 + 4461*i**2\/4 - 8919*i\/8 - 8921\/4 = 0. What is i?\nAnswer: -1, 2, 8921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5585312, -11170660, -16756034, -22341446, -27926908?\nAnswer: -33512432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/284 and 59\/142.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 0 - (3 + -4). Let t(i) = -i**3 - 2*i**2 - 1. Let y be t(-3). Suppose y + x = -5*w. Sort w, 5, -0.1 in decreasing order.\nAnswer: 5, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/10)\/((-8)\/260). Let f = 97 - q. Let w(n) = 162*n + 507. What is the least common multiple of f and w(-3)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:05 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -2\/31, -1, -5.4, 17.5?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.07, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -430 + 3868\/9. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-6)*(-15)\/(-10). Let j be 0 - (0 - w)\/(-2). What is the second smallest value in j, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:14 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -85 - 84 + 242 - 7*q - 76 + 30*q. Let p(l) = -4*l. Calculate p(v(n)).\nAnswer: -92*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-44)*16\/1. Solve l - 4 = -3*j, -g*j + 22 - 4 = -5*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) + 700\/49. What is the common denominator of 33\/7 and s\/4*(-16)\/20?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.1, -0.0252, -0.038?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6660)\/(-34) - (-4)\/34. Suppose 4*c - 3*o - 2*o + b = 0, 0 = 3*o. Let v = c + 86. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -450*d - 28. Let b be x(-3). Let n = 46266\/35 - b. Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430422439?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/28 - 10*(-1 - 1). What is the third derivative of 0 - u*f**2 + 4*f**3 + 0 - 12*f**3 wrt f?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 68*z**2 - 355*z**2 + 297*z**2. Let k(w) = 1540*w**2. Calculate t(k(x)).\nAnswer: 23716000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (26 - (67 - 45)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 20. Is ((-1335)\/b)\/((-2)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.80579 - 0.19421. Let g = -16 - -16.3. Which is the closest to -3\/7? (a) 5 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8053638 years to months.\nAnswer: 9.6643656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*n + 59*n - 2 = -j, -4*n - 8 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.63, 1\/11, 2\/11.\nAnswer: -0.63, 1\/11, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 204971767 divided by -7\nAnswer: -29281681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133217651*s + 142440579 wrt s?\nAnswer: 133217651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1487280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279460927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 4, l: 4, d: 1, v: 1, y: 2}. What is prob of picking 2 y, 1 t, and 1 d?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-43867)\/8 - 10\/(-40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 7. Let d be l(-3). Suppose d*v - 3*v = 70. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let g = -11.3 - -12. Let j = 15.8 - 15.9. What is the second biggest value in f, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*j. Suppose -5*u = -4*l + 74, j = -5*l + u - 6*u + 70. What is the remainder when 47 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((2 - 11) + (5 - -6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - -5. Let y = 52 + -35. Calculate the remainder when b is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 234 = -0*o. Let y = o + -72. Solve -w - 15 = -y*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3023, -12111, -27283, -48551, -75927, -109423, -149051?\nAnswer: -194823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4651672s in hours?\nAnswer: 0.001518102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(6 + (-44)\/8). Factor -2*p**5 + 10*p**d - 105*p**2 + 6*p**3 + 111*p**2 - 20*p**3.\nAnswer: -2*p**2*(p - 3)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 (base 15) in base 4?\nAnswer: -102013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45314*h**6 - 2180*h**2 + 7 wrt h?\nAnswer: -5437680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/9 (b) 1\/10793 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*p - 1364 + 1395, -4*u = 2*p - 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x)**(2\/23)\/((x*x\/(x*x**(-1\/5)*x))\/((x*x*x**(2\/7)*x*x)\/x)) assuming x is positive.\nAnswer: x**(2582\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-308))\/((-26)\/(-273)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15089\/391 = 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -41, -4, 1, -0.18, -0.12, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + (sqrt(242)*1*4)**2 + -3.\nAnswer: 11*sqrt(2) + 3869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 12, 2, -505, 5 in decreasing order.\nAnswer: 12, 11, 5, 2, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27589658333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33047600 rounded to the nearest one hundred thousand?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from {h: 8, s: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(((-2)\/(-1))\/(-1)))\/((-1590)\/(-954)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 10. Let s(f) = -7*f**3 - 2*f**2 + f + 3. Suppose -17 = 2*m - 3*a, -6*m = -2*m + 5*a - 21. Let i be s(m). Determine q(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11116466847 from -3.\nAnswer: 11116466844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6 = 2*h, 328*h + 2*i = 333*h + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 19452*s.\nAnswer: -2*s*(s - 87534)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c = -83*c + 72 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*v**3 - 127*f*v**2 + 192*f wrt v?\nAnswer: -6*f*v**2 - 254*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 28937, 0.4 in descending order.\nAnswer: 28937, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -111612.\nAnswer: 111609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**3 - 8*o**2 - o + 3. Let s(l) = -6*l**3 + 9*l**2 + l - 2. Let d(i) = -4*s(i) - 5*x(i). Calculate d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = -4*a, -2*a - 4 = 5*z - 19. Is ((-14)\/5 + 1\/a)*-21 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 517 + -414.2. What is l rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 8*r**2 + 10. Is t(7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let m(c) = -10*c**2 - 9*c**2 - 9*c**2. Calculate m(j(n)).\nAnswer: -112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107200 and 83461900.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2626072 and 49\/465916.\nAnswer: 28886792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -20, 0 = 2*i + 2*h - 20 + 2. Let v = i - 10. Find the second derivative of 195*g**v - 194*g**4 + 3*g + 0*g wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 1 = d. Suppose d = -0*k + 3*k. Let w = -8 + k. Let i(h) = -h**2 + 2*h + 5. Give i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -253 - -371. What is the closest to 1 in 2, -0.2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x + 88*x = 28*x. Let 1\/7*v**2 + x + 3\/7*v = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/265 + -49\/530. Let b = -2 - 3. What is the closest to 0.2 in -2\/3, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 308?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 506 (base 13) in base 11?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17561*o**3 + 3*o**2 + 233*o wrt o.\nAnswer: 105366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-27)*-3*-6. Let s = 5 + a. Suppose -7 = -2*q + f, 4*q - 4*f = 8*q + 4. Calculate the highest common factor of q and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 3*o + 13. Let y(l) = -l**2 + l + 1. Let s(v) = w(v) - 2*y(v). List the prime factors of s(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1548 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - t + 30*t**3 - 3*t**3 - t**3 - t + t + (-4*t - 2 + 2)*(2 - 2*t**2 - 2).\nAnswer: 34*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -32, 1\/1334?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/2244 - 54\/(-238).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/((-2)\/(-42))*((-1235)\/(-195) + -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/115 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -9. Let x = k - -37. Solve -x*m + 4 = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 6*x**2 + 6*x - 3. Let g be z(5). Let m(c) = -2 + 0*c**2 - 2*c**2 + 4*c**g + c. What are the prime factors of m(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1871, 8, 6, 4.\nAnswer: 4, 6, 8, 1871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + (48836 - (-2 - 0)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let d(y) = 4583*y. Determine f(d(w)).\nAnswer: -21003889*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 33*b**2\/2 - 13*b - 177. Let j(h) = -8*h + 3. Determine 9*j(n) + 2*o(n).\nAnswer: -6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 54 - 22 = 4*m, m + 3*d = 8. Suppose -12*s - m = -16*s. Solve -s*z + 6 = -2*t, 4*z - 3*z + 1 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-112))\/((-2)\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 45016*o - 45017.\nAnswer: (o - 1)*(o + 45017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5973 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295726 = -4169*c - 4442 for c.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147601 + -147364. What is the remainder when k is divided by (-1)\/(-2) + (-79)\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65375)\/1046 + (-180)\/(-24)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 15, 22?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184519.8mm in meters?\nAnswer: 184.5198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1057, 19581 in descending order.\nAnswer: 19581, 13, -1057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in 0.04, 0.1, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3866911907 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(1\/7))\/(((r*r**4\/r)\/r)\/r*r))\/(r**(2\/23)*r)**20)**47 assuming r is positive.\nAnswer: r**(-178553\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 5*a**5 - 2*a**5 + (-4 + 4 + a**4)*(-1 - 2*a + 1) - 2*a**5 - a**3 + a**3 + 10*a**5 + 6 - 4*a**5 - 8*a**5.\nAnswer: -4*a**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1953?\nAnswer: -1957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + 485. Let b = l - 47. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 35 - 1\/(-2)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (2 - 3))*-1. Let w(r) = r - 13. Let i(h) = -3. Suppose 0 = -3*a - 2*o - 37, 5*a = -4*o - 49 - 16. Let g(q) = a*i(q) + 2*w(q). Calculate g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 18*z**2 - 16*z - 22. Let v be n(17). Let c = 25.06 - 25. What is the third smallest value in 0.5, c, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88652221?\nAnswer: 7, 1809229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31090, -31078, -31064, -31048, -31030, -31010?\n\"Answer: y**2 + 9*y - 31100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 3. Let t be u + 1 + 5\/5. Calculate the highest common divisor of 21 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*d + 3*d + 9, 10 = 4*q - 2*d. Let b = q - 2. Suppose -2*h + 5*h - 21 = b. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70147\/135 > -520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 7\/((-98)\/24). Let v = 38.1 - 41. Let r = 3 + v. What is the closest to r in -0.4, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0 + 0 + (2*z - 1 + 1)*(-4 + 0 - 2))*(15*z + z - 5*z).\nAnswer: -143*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*l**2 - 25*l - 1652 + 1652 wrt l.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 10*j - 8. Let u be h(11). Let t be (-1540)\/(-15) + 1\/u. Find the first derivative of -g - 135 + g + 14*g**2 + t wrt g.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**7\/490 - 41*i**6\/840 + 7*i**5\/20 - 19*i**4\/168 - 5*i**3 + 5566*i**2. Solve c(x) = 0.\nAnswer: -1, 5\/3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*q + 22, 7 = 230*q - 228*q + 3*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/29, -0.1, 52, 1 in decreasing order.\nAnswer: 52, 1, 2\/29, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(-6*g + 2*g + 2*g) + 31*g**2 - 40*g**2 + 193*g**2.\nAnswer: 188*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 - 12*l - 20. Let i(o) = -14*o**2 - 35*o - 59. Let j(t) = 6*i(t) - 17*m(t). Let w be j(7). Are -3 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -138 (b) 3 (c) 1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-20) + (-22)\/24. Let i = -130 + -7.9. Let q = i + 138. Sort q, g, -16.\nAnswer: -16, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = -5, 9 = 3*g - 3*u. Let o be (-1 - g) + (-70)\/63. Let q = -9 + 5. Which is the biggest value? (a) 5 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let i(v) = 9*v**2 + 2*v + 5. Let y(b) = -i(b) - 3*p(b). Let u(l) = -l - 1. Let m(r) = 2*u(r) - y(r). Find the second derivative of m(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5714 and 17141\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549940 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b**2 - 2*b - 4. Let g = 33 - 40. Let f(r) = -5*r**2 + r + 2. What is g*f(t) - 3*j(t)?\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 1 = 23. Let o = 0 - z. Suppose -o*d + 335 = 5*y, -4*y - y = -5*d - 375. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -8. What is the common denominator of -40\/3 and (u\/(-8))\/((-18)\/1068)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 - w**3 + 6*w**3 + (-w - w + 12*w)*(-w**2 - 3*w**2 + w**2) - 2*w**3 + w**3 + 3*w**3.\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -349*s**3 - 2*s**2*w + 19563*w wrt s.\nAnswer: -1047*s**2 - 4*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -146, -145, -144?\n\"Answer: m - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 466317 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2*(-10)\/(-4). Let p = 37 - 29. Suppose -5*n + 15 = -p*n. Does c = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 451?\nAnswer: -2706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888000 is divided by 5318?\nAnswer: 5212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 + 0)*4\/(-12). Let r(q) = q**2 + 3*q + 7. Let t be r(i). Solve t*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18588537 times 4?\nAnswer: -74354148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4969\/16 - -311. Calculate the common denominator of 1\/(1\/3) + 534\/(-48) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7755, 31018, 69797, 124098, 193927, 279290, 380193?\n\"Answer: a**3 + 7752*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*p - 28, 5*x = -2*p - 4 + 5. Let s be p\/6*(-2 + 5). Suppose 4*u - 7 = -3, u = -s*d + 23200001. Round d to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -2, -18 in decreasing order.\nAnswer: 4, 2, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7\/(a\/(a**2*a))*(a\/a**0*a)**(-45) assuming a is positive.\nAnswer: a**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6689*h**2 - 1806031*h - 246. Determine k(-270).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9439.535 meters to micrometers.\nAnswer: 9439535000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187760929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose 6*i = 2*i + 24. Let o = -1 + i. Solve -2*k - o - 5 = g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(sqrt(1377) + (sqrt(1377) - (-2*sqrt(1377) + sqrt(1377))) + -2 + sqrt(1377) + 1 + 5) + -1 + 5)*6*-6)**2.\nAnswer: 55987200*sqrt(17) + 2860012800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from kkkkkkkkknkkkkknkk.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 505, -1156, -3929, -7820, -12835?\n\"Answer: -y**3 - 550*y**2 - 4*y + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19107291, -19107292, -19107295, -19107300, -19107307?\n\"Answer: -y**2 + 2*y - 19107292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose 0 = -o*z + 2*a - 14, -2*z + 6*a - a = 26. Put 0, z, -47 in decreasing order.\nAnswer: 0, z, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * 118.\nAnswer: 141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - q**2 - 1. Suppose 0 = -h - 2*h + 6. Let k be b(h). Calculate the greatest common divisor of 2 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*w**2 + 3)*(1597*w**2 + 722144*w - 722144*w) to p*w**3 + d*w**4 + q*w**2 + m*w + g and give d.\nAnswer: 3194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3333123112000 + 1?\nAnswer: 3333123112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1371, 1369, 1357, 1329, 1279, 1201?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**2 - 12746216*h + 10154126394916 = 0.\nAnswer: 1593277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(2\/7)\/o*o))**(-3\/7) assuming o is positive.\nAnswer: o**(-15\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Suppose 0*l + x = 2*l. Let t be (2\/15)\/((-6)\/(-9)). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 + 266.5. Let t = -6.326 - j. Is 2\/3 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.1 - 13. Which is the nearest to l? (a) -1 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 53*c**2 + 4408*c - 235. Determine x(-98).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001220101101 (base 3) to base 7.\nAnswer: -12231664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, -1, -5, 112 in descending order.\nAnswer: 112, -1, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40111 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + 2214*u**2 - 4*u. Let r(m) = m**3 - 554*m**2 + m. Give -2*i(d) - 9*r(d).\nAnswer: d**3 + 558*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/98 and -13\/1798258.\nAnswer: 12587806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 692143*z**4 - z**3 + 587635 wrt z?\nAnswer: 2768572*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/162)\/((-2)\/4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021516 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(176)*-2*-5)*4.\nAnswer: 16 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.15 - 12. Let g = p - 1.15. Let x be ((-2)\/(-8))\/((-1)\/(-6)). What is the nearest to 0 in x, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*sqrt(121)*-4)\/(3*-2*sqrt(11)).\nAnswer: -8*sqrt(11)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1184 + 5300*z**2 + 4327*z**2 + 961*z**2 with respect to z.\nAnswer: 21176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5*v - 2. Let c be y(3). Suppose 0 = w + c*w. Let r be 4 + -2 + 1 + w. Solve -d - r + 1 = 0, -2*i + d = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154344886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -0.23, -16 in decreasing order.\nAnswer: 0.2, -0.23, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**3 + 4*q. Let w(j) = 10*j**3 + j**2 + 10*j + 1. Let p(l) = -5*t(l) + 2*w(l). Let x(s) = 60*s**3 - 25*s**2 - 25. What is 75*p(n) + 6*x(n)?\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 6*f + 4. Let y(k) = 2*k**2 + 7*k + 4. Calculate 5*p(u) - 4*y(u).\nAnswer: -3*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -128*z - 16. Let s(a) = 3. What is i(q) + 5*s(q)?\nAnswer: -128*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 5 + 4 - 25*p)*(7 + 1 + 6).\nAnswer: -392*p - 14","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -691 + 5105*i**4 + 60 - 10200*i**4 - 4*i + 5093*i**4 wrt i?\nAnswer: -8*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*t = -37, -4*t = -5*g - 3*t - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 2*d + 2. Let h be k(-2). Let s be (-5096)\/(-39) - h\/3. Suppose 5*o = s - 5. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.37 (b) -5\/6 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.531211 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -26*h**2 - 21*h - 6. Let a(k) = -k**3 + k**2 + k + 1. Let y be a(-2). Let o(i) = 5*i**2 + 4*i + 1. Determine y*o(d) + 2*n(d).\nAnswer: 3*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/35*1020\/48 and -105\/104?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 726 = 4*y, y = -0*y - 4*s + 168. Suppose 0 = -4*u - 4 + y. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/14)\/(2\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 3*r**2\/2 + 3*r + 13. Let h be w(0). Suppose h*i - 20 = -i. Solve -4*q + 3 = -i*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 44 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/13 - 24\/(-13). Find the second derivative of 49*c**g + 48*c - 28*c + 86*c - 14*c**2 wrt c.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3163561\/1424 - -97852\/89. Let r = u - 3324. Find the common denominator of -19\/18 and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-3 + 5 + 6)*(1 - 1 + 2*j).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -214*n + 36337. Determine k(170).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**9\/5040 + w**6\/144 + 5*w**4\/12 - 2*w. Let z(q) be the third derivative of i(q). Find the second derivative of z(x) wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6870, 7266, 7660, 8052?\n\"Answer: -o**2 + 399*o + 6472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31500 and 1995?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1636, -3249, -4862?\n\"Answer: -1613*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 288 = -3*o, -5*q - 4*o = -184 + 545. Let h be 4*(q\/(-66) - 1). Suppose g + 4 = 5*g. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-156)*392\/(-1764)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, x: 3, u: 1, r: 2, k: 1, a: 1}. Give prob of sequence ck.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzzzzz. What is prob of picking 2 g and 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 26 - 1 = 5*d, -5 = -d + r. Suppose 4*l + 0*l = -4*y - 196, 217 = -d*l + 2*y. Is 15 a factor of (-51)\/l*(2 + -5)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(480)\/(2*sqrt(8)))\/((sqrt(120) + -2*sqrt(120) - sqrt(120))\/sqrt(10)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 173.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d**2 - 11*d - 20. Suppose 4*a + 2*r + 24 = 0, -2*a = -16*r + 11*r. Is y(a) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3 + 0 + sqrt(18))**2 + -5.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 12:35 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-b**4 - 3*b**4 + 6*b**4) - 3*b**4 + 5*b**4 - b**4 + (-8*b**2 + 33 - 33)*(2*b - b**2 - 2*b).\nAnswer: 11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 477*f**3 - 2 - 353*f**4 + 0 - 21*f - 1 + 478*f**3 wrt f?\nAnswer: -4236*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (480*u**3 - 126*u**3 - 80*u**3)*(-9*u**2 - 8*u**2 + u + 19*u**2).\nAnswer: 548*u**5 + 274*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 1081*n + 151 = -1022*n, -4*u = 2*n - 58 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121112027 to the nearest integer?\nAnswer: 33483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 (base 13) in base 2?\nAnswer: 100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 2*m**3 - 4*m**2)*(5*m + 3*m + 384969 - 384957)*(-3 - m + 3).\nAnswer: -16*m**5 - 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j - 5*j)*((-4 + 1 + 1)*(0*j + 2*j - 5*j) + j - 4*j - 8*j).\nAnswer: 35*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, x: 3, t: 2, o: 1, y: 6, f: 3}. What is prob of picking 1 x, 1 t, and 1 s?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**4 - a**3 + a**2 + 3*a + 1. Let u(r) = -r**4 - 61*r**3 + 5*r**2 - 1109*r + 5. Let m(w) = -5*t(w) + u(w). Find the second derivative of m(k) wrt k.\nAnswer: -72*k**2 - 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -b097?\nAnswer: b095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q + 0 - 3*q**2 + 0 - 30*q.\nAnswer: -3*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -371 - -389. Let k = 0.344357 + -18.344797. Let y = n + k. What is y rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27272 and 924.\nAnswer: 899976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157180, 157181, 157182, 157183, 157184, 157185?\nAnswer: 157186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 - 94686*a - 747119883 = 0.\nAnswer: -15781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24204241 (base 6) in base 2?\nAnswer: -10111010010010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + 7*l - 98. Let i(v) = -27*v**2 - 36*v + 476. Determine -2*i(s) - 11*o(s).\nAnswer: -s**2 - 5*s + 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 636443*s - 6364427. Determine j(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 248. Suppose -10 + m = 2*t. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-14)\/4)\/((-2)\/(-36)). Does v = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v - 168 = 0. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a557 (base 11) in base 14?\nAnswer: -4d19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -78, -198, -366, -582, -846?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 4 = -5*q. Let r = 3.24 + -0.24. Which is the third smallest value? (a) -5 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11532?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {w: 1, a: 10, i: 2, h: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/((-15)\/18).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -1.41, 5583?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(52\/8 + -4). Solve -5*a + q = -z, -2*a - 2*a - 5*q = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + -2*sqrt(2156))*4*-6)**2.\nAnswer: -4981824 + 161280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 876, 5, 4, 2 in decreasing order.\nAnswer: 876, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from {i: 2, a: 2, x: 2, q: 1, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11936, 12119, 12300, 12479?\n\"Answer: -v**2 + 186*v + 11751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -55373000 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31516, -63021, -94526, -126031, -157536?\nAnswer: -189041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77977.65ng to grams.\nAnswer: 0.00007797765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 142, 287, 432?\n\"Answer: 145*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1782 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5559 less than -2412?\nAnswer: -2416.5559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*1 + -3*sqrt(384))\/((-5*(sqrt(72) - sqrt(72)*-1))\/(-6*sqrt(6)*1)))**2.\nAnswer: 1152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22790 + -67066\/3. Let q = 435 - k. What is the second biggest value in -0.1, -3\/5, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 - 1) + -1)*466. Suppose -4*f = h - 177, t = 3*h + 2*f - 3*f. Suppose 4*n = -3*w + h, n - 2*n = -3*w + 167. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 20921458?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(12)\/sqrt(4) + -1))**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:48 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 648727\/120 - 5406. Calculate the common denominator of o and -117\/28.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 63*c + 1573. What is a(-82)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(((-1)\/10)\/(38\/(-2) - (-39903)\/2115))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/55)\/((-1)\/5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 2\/5 (c) 0.3 (d) -269 (e) 300\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -448*y**2 - 1348*y - 11. Determine t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 14*q**2 - 13*q - 22. Let j be d(-13). Does 32 divide (-40)\/(-22) + (-4)\/j - -45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 6. Suppose 2*l - 2*i - 12 = 0, 2*l + i = -i - 8. Let w be (l + -3)\/((-12)\/(-9) + -2). Suppose 6*o - w*o = 0. Give b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 4) + 50\/10. Let m = -105 + 110. Solve t*q + 1 = -m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 81.0656.\nAnswer: 81.4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 45\/2. Let w be -1 + -1 + 2 - -4. Let r be (-140)\/255 - w\/(-6). What is the nearest to -1\/2 in r, -4, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + ((sqrt(245)*4)**2 - sqrt(245)) + (-2 + sqrt(10)\/sqrt(2))**2 + sqrt(5).\nAnswer: -9*sqrt(5) + 3929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*q + 245806114664*q**3 - 86*q - 245806114658*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*g**2 - 4*g**2 + g**2 + (-3*g + 3*g + g)*(3*g - 2*g + g) + (-3*g + 2*g + 0*g)*(3*g - 8*g - 2*g) in the form m + r*g + b*g**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 - -5. Let c = v - 0.3. Sort 2, 0.5, c in decreasing order.\nAnswer: 2, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 9*m**2 + 9*m + 4. Let s be 3\/2*404\/6. Suppose s = 5*c - 2*x, 5*c + x + 32 - 124 = 0. What is the remainder when n(5) is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001000101 (base 2) in base 14?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:01 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 13*i - 24 = 0. Suppose i*l = 4*n - 320, 5*l = -3*n - 21 + 301. Is n a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 12*r - l + 4 = 0, -r - 2 = 3*l for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - i - 18 = 0, -1649*y + i = -1651*y - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -9. Solve 0 = -2*x + 2*d + z, -d - 4*d - 45 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 5*r = -18. Let p be -6 + 5 + r + 1. Suppose 2*u + p - 12 = 0. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 7*r - 102. Calculate h(9).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -460 + 462. Suppose -k*f + 1762 = 178. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 3*s**2 - 2*s - 1. Let d(a) = -2*a**2 - 3. Suppose 0 = i - 4*i. Let o be d(i). Calculate v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 5. Let g be f(-5). Let y = -53789 + 53792. Which is the nearest to g? (a) y (b) -0.4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 smaller than -9856\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000165616502 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Suppose g = 2*u + i - 45, 5*u - 5*i = 59 + 61. What is the remainder when 67 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + 2*t + 3 - 1066*t**2 + 536*t**2 - 2*t**3 + 538*t**2 to q*t**4 + c*t**2 + v*t**3 + z*t + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 1. Let j(n) be the third derivative of 0 - 1\/3*n**3 + 2*n + 1\/8*n**4 - 7*n**2. Let u(p) = -5*j(p) - 4*t(p). Let b(i) = -i. Give u(b(y)).\nAnswer: -y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/7, 72, 0.5, -185?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3076380 = 270*j - 216*j. Round j to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepp. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**2 + 5*f - 5. Suppose c - 6 = -c. Let t be ((-45)\/3)\/c*1. Let x be q(t). Round x to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-30))\/((-1)\/10). Let f be (o\/(-10))\/(24\/(-30)). Suppose 0 + 3\/2*t**2 + 1\/2*t + f*t**4 + 3\/2*t**3 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -649\/969 - -1\/323. Sort -3\/4, 2, h.\nAnswer: -3\/4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.7, 23, 4\/7, -5.6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57886738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 - 14*c + 52. Let v be d(10). Which is bigger: -489 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (-40 - -78) + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1994 in -84, 0.1, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 18. Let r(v) = 2*v**2 - 7*v - 4. Let d be r(6). Suppose -28 = -x + d. What is the greatest common factor of z and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - -459 - (-1)\/1. Let i be 2 + 26\/(-10) + w\/40. Suppose -i*g + 63 = -8*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/4 - 1242*j**4 - 6185145*j**3\/4 - 18495859*j**2\/2 - 18476007*j - 12310722 = 0. What is j?\nAnswer: -2481, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 134*q - 16*q + 24125. Sort q, 0, -4 in decreasing order.\nAnswer: 0, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - (sqrt(5) + sqrt(20) + sqrt(180))) + (sqrt(70) + 2*sqrt(70))\/sqrt(10)*5.\nAnswer: 119*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/6 + 215284100*t\/3 - 4634724371281000\/3.\nAnswer: -5*(t - 43056820)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 83. Let z be 2 - ((-24)\/(-9))\/((-12)\/q). Find the third derivative of 30*d**2 + 1385*d**5 - 1385*d**5 - z*d**6 wrt d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16714 + -33429\/2. What is the biggest value in -1920, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 219*l + 1189 + 421 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 21*z + 114 = -s, 0 = -z + 5. Let x = s - -146. Calculate the highest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 14*t - 7 + 2*t**2 - 3*t**2. Suppose -3 + 39 = -4*w. Let p be a(w). What is p rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:29 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006334975 to 7 decimal places.\nAnswer: 0.0000633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 4235430 - 8470915 + 4235485.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - a + 7, -3*j - 4*a - 678 = -686 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4946 is divided by 225.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 16901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(95)\/sqrt(80))**2 + -2 + 1 + sqrt(76)\/sqrt(4).\nAnswer: 3*sqrt(19) + 259\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.70408 micrograms in kilograms?\nAnswer: 0.00000005970408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 15 - -1) + -11 + -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Let n = 1 - 0.8. Which is the nearest to -1? (a) 0 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:54 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51 - 4?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112282 and 32598.\nAnswer: 1010538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**2\/2 - 3*m + 1. Let g(u) = -57*u - 6 + 36*u + 13*u + 7*u. What is -3*g(v) + 5*p(v)?\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -7 + (-1 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 5\/((-20)\/564). What is the common denominator of -51*(j\/(-72))\/7 and -53\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -23*c + 5. Let y(f) = -f**2. Give y(t(g)).\nAnswer: -529*g**2 + 230*g - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1444676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2289595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3007 = -842*v + 745*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155.99977 - 156.687. Let b = j + 0.692. Round b to 4 dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 1\/6, -5, -2329, 3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(102) - sqrt(102) - sqrt(102) - -5*(sqrt(102) - (6*sqrt(102) + sqrt(102)) - sqrt(102)))\/(sqrt(6) + sqrt(60)\/(-6*sqrt(10)) + -3*sqrt(294)).\nAnswer: 246*sqrt(17)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1320 and 65010?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 18. Suppose -4*r + 19 - 5 = -p, 0 = g*r - 3*p - 15. Let 6*k**4 + 7*k**2 - 17*k**4 - k**4 + 3*k**r + 5*k**2 - 3*k = 0. Calculate k.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - 3*w - 20. Let x(l) = -3*l**2 - l - 10. Determine 4*b(p) - 9*x(p).\nAnswer: 3*p**2 - 3*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*a**6 - 3*a**5 + a**4 + 2*a**2 - 471*a - 1?\nAnswer: -1320*a**3 - 180*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -518 from -4758.\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138976 is divided by 986?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 31*c**3 - 187353 + 187353 - 21*c to z*c + x*c**2 + d + t*c**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -175647 (base 11) to base 8\nAnswer: -1021172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -17*c**3 + 4*c + 5. Let o(l) = -9*l**3 + 2*l + 3. What is 6*h(z) - 11*o(z)?\nAnswer: -3*z**3 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (-2220)\/(-300) - 2\/5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2130, -0.5, -18, -0.4, -4, -8 in ascending order.\nAnswer: -18, -8, -4, -0.5, -0.4, 2130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4.82 * -0.0533\nAnswer: 0.256906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 607621 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 21 - (-8 - 8 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o**2 + 4*o + 2. Let v(i) = i**3 + i + 1. Let a(c) = -n(c) - v(c). Let t be a(8). Suppose -t*u + 84 = -18*u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddddyyyddyddy?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119.725 - 118. Let b = -183 - -180.72. Let c = q + b. What is c rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3 - 22906*b**2 + 158*b - 142271227 wrt b?\nAnswer: 3*b**2 - 45812*b + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.143*-174246\nAnswer: -24917.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = -5*p - 111 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4616301*a*y + 5205807*a with respect to y.\nAnswer: -4616301*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/6 and 0 + 3 + ((-89)\/2 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/60691352 and -73\/2.\nAnswer: 60691352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 88*m**2 - 2111*m - 110. Calculate t(108).\nAnswer: 5182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20\/2017 (b) -0.5 (c) 0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5735 = -h + 5741 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*r = -8, 0 = -4*d - 5*r + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11769 + -11718. Calculate the remainder when 88 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 - 3*w + 3. Let y(m) = m**3 + 2*m**2 - 2*m + 2. Let u = -14 + 17. What is u*y(o) - 2*b(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 144*a**2 + 15*a - 2. Calculate b(2).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*n = -3899 - 137, j + 2*n = 1362. Let b = j - 789. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 49. Suppose k*a - 19 = -49. Let w(l) = -6*l - 2. Let s(n) = -n. Give a*s(c) + w(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 182457 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*g - 286*g - 30943 = -651*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49523 times -0.4?\nAnswer: -19809.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 203*q**3. Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.039 + -23.961. Let h = y + 4. Let k = -19.99999915 - h. What is k rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4669056 by -1152.\nAnswer: 4053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzk. Give prob of sequence zzzk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/2 + 15713*h\/4 - 1964 = 0.\nAnswer: 1\/2, 7856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*w + 34 - 2 = 0, 0 = -c - 4*w + 24. Let s(m) = -m**2 + m - m**3 - 4 - 5*m - 3 + c*m**2. Suppose -14*x = -10*x - 24. What is s(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 24*p**2. Let z(y) = 617217*y. Give v(z(d)).\nAnswer: 9142963802136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/867*14\/(4760\/289)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (220\/(-385)*(-14)\/10)\/((-1)\/13235). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 0.2, 5208\/29 in descending order.\nAnswer: 5208\/29, 0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(27) - sqrt(3)) - (sqrt(112))**2*-2.\nAnswer: sqrt(7)\/2 + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30072762 divided by -17\nAnswer: 1768986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -216206.\nAnswer: -15\/216206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.2 - 60. Let i = s - -6.2. Let l = -6 - i. What is the closest to -1 in -4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 17*j**2 + 4*j. Let b(y) = -y**3 - 8*y**2 - 2*y. Let r(p) = -7*b(p) - 3*q(p). Let k be r(-2). Solve v = -5*z + k, 4*z - z - 5*v = -12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69+12\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.3, -391, -3\/5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33089, -33087, -33085, -33083, -33081?\nAnswer: -33079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56275 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 7. Let g be f(8). Let y be 0 + -2 + 4*g. What is the second derivative of c**2 - c**y + 0*c**2 + c**2 - c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/42112 and 19\/80832.\nAnswer: 53187456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - h = 2*h - 9, 5*h + 5 = -5*z. Does 13 divide (0 - 26)*z\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*g**2 + 0 - 8 + 46*g**2 - 4 wrt g?\nAnswer: 92*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 94 = -9*n. Let q = 44 + n. Let i(p) = -2*p**2 - 7*p - 2. Let s be i(q). Solve 2*k - 2 = 3*j - s, -5*j - 5*k = -15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 276?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953 - 1949*t - 322 - 316 - 315.\nAnswer: -1949*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1647 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34732?\nAnswer: 2, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -40*o + 122. Let v(c) = 14*c - 43. Let n(b) = 6*t(b) + 17*v(b). Let i(s) = 3*s - 2. What is -4*i(l) - 5*n(l)?\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, and 1 b when three letters picked without replacement from {m: 3, f: 6, p: 1, b: 5, v: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 + 7*d - 2. Let y(t) = -4*t**2 - t - 1. Let s(i) = 2*g(i) + 3*y(i). Calculate s(9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0323 * -2377249.\nAnswer: 76785.1427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/10)\/((-2504)\/23788 + 72\/(-38))?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1859 or 1860?\nAnswer: 1859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1436 = -2*d + 4*w, 26*d + 2145 = 29*d - 3*w. What are the prime factors of d?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -704 + 712. Let x be ((-7)\/(-21))\/((-4)\/(-6)). Which is the third smallest value? (a) h (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, 2, -6, -2.\nAnswer: -13, -6, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 1, -7881\/13, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -35\/4*s + 5\/4*s**2 - 245\/2 = 0.\nAnswer: -7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87247523*u**3 - 16*u**2 - 481481*u.\nAnswer: -523485138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o - 99 + 31*o - 109*o + 27*o + 29*o.\nAnswer: 3*o - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 1243720.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - d + 1 + 0*d - 2*d. Let i(g) be the second derivative of -g**3\/6 + g**2\/2 + 2*g. Let k(f) = -i(f) + p(f). Let b(j) = j. What is b(k(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -603\/4 in -2\/13, -1, 3.4, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqgyujg. What is prob of picking 1 u and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 865 and -5.\nAnswer: -4325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/7 (b) 2\/13 (c) -95 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17813567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)\/(t\/t**(1\/13))*t**(1\/5)*t\/((t**(-1\/3)*t)\/t)*t**(-2\/15)\/t*t**(-3\/7)*t**7*t*t*t**(5\/6) assuming t is positive.\nAnswer: t**(16057\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/4 + 206*d - 54285 = 0 for d.\nAnswer: -1034, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.3, 2\/67, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*s = s, -2*s = 3*f. Let r = -48 - -50. Solve -4*j = r*t + 28, 2*t + 13 = -j - f*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p + 255. Let v = -19 + p. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -60, -84, -108?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 8:48 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 11*b + 7. Calculate the least common multiple of 1 and r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241433 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411970940.\nAnswer: 2, 5, 23, 67, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 57*a**2 - 172*a - 43. List the prime factors of m(-54).\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0066571975 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 761a8b + -16?\nAnswer: 761a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165090 - 16*d**3 - 4310*d - 16*d**3 - 19*d**3 - 165091 + 30*d**2 wrt d?\nAnswer: -306*d + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/192)\/((2\/(-4))\/((-20)\/25)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/6*((-6)\/(-3) + -6). Suppose r - 154 = -3*o, 5*o - 589 = -d*r + 6. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -592685 (base 10) to base 4.\nAnswer: -2100230231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16705 and 2184?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 0, -3\/2.\nAnswer: -6, -3\/2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**3 - 121*y**2 - 4*y + 6. Let t(n) = 14*n**3 + 120*n**2 + 4*n - 7. Determine -3*t(q) - 4*v(q).\nAnswer: -2*q**3 + 124*q**2 + 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*q - 23, 23*q - 24*q - 5*y = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*v**2 + 1 + (0*v + 3*v - 4*v)*(-5*v + 3*v + 3*v) + 0*v**2 + v**2 - 2*v**2 - 3*v + 3*v**2 - 5*v**2 - 4*v.\nAnswer: -6*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**3 - 906*u**2 + 387*u - 2. Determine o(129).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 9. Let b be i(-9). Suppose -z + h = -4*z + b, -z - 4*h = -6. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 7*v**4\/12 + 11*v**2\/2 + 7*v. What is the derivative of x(c) wrt c?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2242 + 2342?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 0.01261\nAnswer: -0.22698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 20. Suppose -4 + 10 = 3*g. Suppose -g*z + 36 = 4*z. Let m be t(z). Put 4, m, 1 in descending order.\nAnswer: 4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1379 + 3068. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3 - 1 + 4*p**3 + p**2 - 3*p**3 + 2*p. Let m be g(0). Factor -10*x**m + 11*x**2 + 2 - 3*x**2.\nAnswer: -2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30\/821 + -49590\/9031. Let k = -376\/77 - f. Let -k*b**2 - 10\/7*b - 4\/7 = 0. What is b?\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 - 30930*t + 78821692 = 0. What is t?\nAnswer: 3218, 12247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 plus 117?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(2\/19)\/((((w\/(w*w**0)*w*w*w)\/w*w)\/w*w)\/w**(2\/3)))**36 assuming w is positive.\nAnswer: w**(-1560\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -808*g - 2464 - 3534 - 1274 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*a**2 - 55*a - 46*a**2 + 31*a**2 - 38*a**4 + 3*a**4 - 10*a**3 + 62*a wrt a.\nAnswer: -840*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:40 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(2\/(-16)). Let n = 205 + -202. Calculate the highest common divisor of n and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -0*z, 12 = 2*b - 2*z. Let y(n) = n**2 - 6*n - 1. Let c be y(b). What is the third derivative of -3*o**6 + 6*o**c - 2*o**2 + 2*o**6 wrt o?\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319 - 642 - 2005578*c + 323.\nAnswer: -2005578*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 1) + 24 + -12 + 16 - (-5 + 13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p + p + 13 + 10*p**2 - 9*p**2. Give f(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4025776.\nAnswer: 2, 251611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2560, 5122, 7686, 10252, 12820?\nAnswer: 15390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 6*h**2 + 5*h**2 + 1261*h + 14*h**2 - 31*h**2.\nAnswer: h**2 + 1261*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-11)*38\/(-95)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1370666, -2740381, -4110108, -5479853, -6849622?\n\"Answer: -j**3 - 1369708*j - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4) - 6*(sqrt(100) + sqrt(4) - sqrt(4))).\nAnswer: -sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 119770, 119766, 119762, 119758, 119754?\n\"Answer: -4*f + 119774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.379373 * -0.4.\nAnswer: 0.1517492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - -49. Suppose 106 = 2*d - m. Calculate the greatest common divisor of 50 and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2838726\/(-315540) + (9 - 0\/8) and -71\/14.\nAnswer: 122710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90086959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 79 + 90 + -202 + -56\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9148 - -1.5407. What is s rounded to 2 dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 5*s + 2. Let w be v(-5). Suppose 3*g - 8 = w*g + l, -3*g - 5*l = 16. Solve 0 = 4*b + 4*u + 36, g*b = -5*u - 11 - 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/1367, 17, -1463 in increasing order.\nAnswer: -1463, 3\/1367, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5385553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 4*j + 94 + 4034, -2052 = -t + 4*j. What is the second derivative of -105*k - 131*k**4 - t*k**3 + 2060*k**3 wrt k?\nAnswer: -1572*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 - 21 = -46*v. Which is the nearest to 0? (a) v (b) 2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242)*-2)\/sqrt(11) - (-2*sqrt(198) - sqrt(198)))\/(sqrt(108)\/sqrt(96)) + 5)**2.\nAnswer: 280*sqrt(11)\/3 + 8849\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643575 is divided by 525?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 + 6*k + 6. Suppose 0 = -4*o + 36. Suppose o = c + 3. Calculate the remainder when b(c) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67, -125, -175, -211, -227?\n\"Answer: b**3 - 2*b**2 - 59*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74565 - 129093. Let f = m + 1963145\/36. What is the common denominator of f and -31\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 368 = 66*q - 999 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 67?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 76 - ((-5 - -5 - 10) + 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*b**4*s**2 - b**3*s**3 + 6*b*s**3 - 8*b*s**2 + 8*s**3 wrt b.\nAnswer: 1248*b**2*s**2 - 6*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*k - 7*k + 20*k)*(4 + 3*k - 4)*(13*k - 13*k - 6*k) to q + m*k**2 + z*k + h*k**3 and give h.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 1 u when three letters picked without replacement from qzzzuoouobn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkvxknnxvnxvnxuv. What is prob of picking 1 u and 1 v?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbbbbabbabbbaabbbbb. Give prob of picking 1 a and 2 b.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1)*60\/81. Let a = m - 53\/36. Put a, -0.1, -0.4, 1\/4 in descending order.\nAnswer: a, 1\/4, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.9138 hours in seconds?\nAnswer: 2476489.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + 10*u - 8*u**2 + 7*u + 7*u - 2*u**3 + 4 - 4*u**4 - 25*u in the form t*u + h*u**4 + w*u**3 + v + s*u**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdcz when four letters picked without replacement from {z: 1, u: 1, g: 1, d: 1, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/42)\/(((-9)\/(-12))\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/9839 and -27.\nAnswer: 9839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 7, -0.3, 5\/2, -12\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -6. Let s be (-4)\/6 - 3\/(-9). Let i = 15652 + -15652.4. Which is the second smallest value? (a) s (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 319*d**4\/12 + 214*d. Let c(j) = 2*j**2. Determine i(c(m)).\nAnswer: 1276*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d = 14*d + 108 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83766 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 7 = -4*k, -5*p = -k + 28. Suppose -5*q = -k*q - 74. Let r = 65 - q. Calculate the remainder when r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 19475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 959374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 4, -4, 9 in increasing order.\nAnswer: -4, -2, 4, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/12, 2\/3, 2\/5, 1\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-8) + (-204)\/30*1495\/(-16) is divided by 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 4*u**2 + 2. Let x be o(4). Let k be (0 - x\/15)*-3. Let v be (-50)\/28 - 4\/(-14). Which is the smallest value? (a) k (b) v (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8431277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1, 7 in increasing order.\nAnswer: -5, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y - 24. Let t(q) = 12*q + 9 + 18*q + 35 - 6*q. Let s(j) = -11*m(j) - 6*t(j). Let c(o) = 2*o**2 - 14*o. Determine s(c(f)).\nAnswer: -2*f**2 + 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**4 - 239139*q**3 - 17*q**2 + 64803817*q - 2?\nAnswer: 60*q**2 - 1434834*q - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3\/2 - 44625*b**2\/2 + 22311*b + 44624 = 0.\nAnswer: -1, 2, 44624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 - 2*o + 1. Let k(v) = -2*v**3 + 6*v**2 - 2*v + 2. Let y(c) = -4*d(c) + 3*k(c). Factor y(u).\nAnswer: -2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -1872062.\nAnswer: 22\/936031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -19 - -7 - ((-1 - -4) + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551711 is divided by 20430?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 22, 21, 20?\n\"Answer: -c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3.7482 (b) -0.03 (c) -0.2 (d) 1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -8, 10730, 4 in increasing order.\nAnswer: -35, -8, 4, 10730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553459 is divided by 184468?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.2. Let u = -32 + 27. Let z be -4 - -2*62\/30. Which is the third biggest value? (a) u (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2067 and -118682136.\nAnswer: -118684203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -632831*k**5 + 3*k + 96768?\nAnswer: -12656620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4 + 2. Let p be (-29)\/(-4) + (-11)\/44. Suppose h - p = -5*r, -2*h = -3*r + 1 - 2. Sort h, 4, k.\nAnswer: k, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by 109.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + v + 41 = -0*l, -v = -l - 7. Let j = l - 48. List the prime factors of j\/8*(-5 + 2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 12*a**2 - 17*a - 10. Is l(14) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7374240 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**3\/3 + 9*r**2 + 26*r - 2. Suppose 1254 = -29*h + 95*h. Let g be o(h). Solve -5*m + 20 = -5*i, 5*i + g = -5*m - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152835531*o**3 - 171385084?\nAnswer: 458506593*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 + 6052068060.\nAnswer: 6052068055.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/4 (b) 1 (c) 7\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*s - 41*s. Let s*f + 0 - 2\/11*f**2 + 2\/11*f**3 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189621 - 154093 = 125*g - 1079472. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/1988511 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311673*w - 81719*w - 492672*w - 512900*w.\nAnswer: -1398964*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*r = 0, 3*r - 21 = -f - r. Suppose -2*u - 562 = -f*x - 3*u, 4*x + 2*u = 446. What are the prime factors of x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(539) - (sqrt(539) + -3)*-5) - 6*sqrt(88)\/(sqrt(512)*4).\nAnswer: -16 + 669*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 2 (c) 25.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 423813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -151*s**3 - 10*s**2 + 12*s + 10. Let v(m) = -15*m**3 - m**2 + m + 1. Let w(p) = -d(p) + 10*v(p). Let i = -4 - -6. Calculate w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 6*s)*(5 - 2 - 4)*(-2 - 1 + 7).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -82. Let f be (112\/(-7))\/(-3 - c). What is the highest common factor of f and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q + 243. What are the prime factors of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1946453, 7785808, 17518069, 31143236, 48661309, 70072288?\nAnswer: 95376173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:40 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-340))\/((-76)\/1330*56\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -5*sqrt(117)*-1)\/(sqrt(9)*2*4))**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*(-12)\/9. Let c = -1 + 3. Let l = -10005 - -10007. Solve d*j - t + 4 = l, -c*j + 6 = -5*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79)\/158)\/(1\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i - 14. Let k be r(-3). Solve k*b = 35 - 31 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-16)*0)\/((-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.11393 and -431.\nAnswer: 1342.10383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*(-14)\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3124488209?\nAnswer: 53453, 58453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 217?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 15520*k + 5797471.\nAnswer: (k + 383)*(k + 15137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/24*-2)\/((-1)\/2). What is the nearest to -2\/9 in -2, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/((9594\/(-108))\/41).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -770 divided by -770\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2. Let n(r) = -r**2 - 84*r. Calculate n(b(c)).\nAnswer: -16*c**4 - 336*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 - -3425023?\nAnswer: 3424441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11772217.\nAnswer: 2081, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55526?\nAnswer: 2, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*t**3*x + 9849*t**2*x - 2*t*x + 364*t - 2*x - 2913 wrt t?\nAnswer: -180*t*x + 19698*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*t**2 - 4)*(t**3 - 3*t**3 + 0*t**3) - 6*t**5 + 2*t**5 + 3*t**5 - 2*t**5 + t**4 - t**4.\nAnswer: -13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 88483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4694304 and 1712?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3373 - -5001. Let f = 1669.212 - i. Let w = f + -41. What is w rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 take away -5?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -227*h**2 + 16*h - 16. Let i be m(1). List the prime factors of (i\/(-2))\/(-11 - 207\/(-18)).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and 60746.\nAnswer: 60745.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24*(-102)\/(-2)*(-49)\/588. Is v less than -11\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14*c**2 - 26*c + 32. Let f be x(36). What is f rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 403338570 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122110 divided by -117895?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 - 620. Let p(x) = -x. Give r(p(n)).\nAnswer: -4*n**2 - 620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2631)\/47 - (-6715)\/(-315605)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r**2 + 4*r + 2. Let w be a(-1). Suppose w = -5*d + 4*d + 11. Calculate the lowest common multiple of d and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + c + 3*c + 2*c + 5*c + (-2*c + 0*c - c)*(-5 + 5 - 2) + (5*c + 0*c - 4*c)*(-1 + 8 + 3))*(-2 + 2*c + 2).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9198001\/1254 + -12351\/209. Let o = -7255 + r. Find the common denominator of -79\/2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 4\/((-4641)\/(-1479) + 1 + -4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688223*j**3 - 146823*j**3 - 8197895*j**3.\nAnswer: -10032941*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 12*x - t + 10 = 0, 0 = 5*x - 3*t + 20. Which is the closest to 0? (a) x (b) -17\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:52 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**4*w**2 - 107074*f**3*w**2 + f**2*w**2 - 300*f**2 + 66*f + 5*w**2 wrt f.\nAnswer: -120*f*w**2 - 642444*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/5, 5, -16, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380 - 677. Let v = 297.00000269 + s. What is v rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + q)*(q + 2*q - 6*q - 3*q - q + 0*q + (3 - 5 + 0)*(q - q + 2*q) + 2 + 2*q - 2).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -77*b**3 - 17*b. Let x(c) = -19*c**3 - 4*c. Determine -2*a(v) + 9*x(v).\nAnswer: -17*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 7\/3*f**3 + 0*f**4 + 0*f**2 + 9 + 0*f - 4*f**5. What is the third derivative of t(q) wrt q?\nAnswer: -480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -380, -551, -704, -833, -932, -995, -1016?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4\/15 + 1552*k**3\/3 - 23236*k**2\/5 + 116144*k\/15 - 54194\/15 = 0.\nAnswer: 1, 7, 3871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - (4 + -15)) + (22 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/4 and 118\/9*9\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899777577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1. Let x(g) = -9*g - 2. Calculate r(k) - x(k).\nAnswer: 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71755 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - o - 12 = 0, -l + 5*o + 44 = 2*l. Suppose -2*x = -l*x - 30. Put -4, x, 5, -3 in decreasing order.\nAnswer: 5, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 17. Calculate u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j - 1. Let z(u) = -4*u**2 + 5*u. Calculate 3*n(r) + z(r).\nAnswer: -r**2 + 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2184308, 2184230, 2184152, 2184074, 2183996, 2183918?\nAnswer: 2183840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*q**2 + 13*q**2 + 13*q**2)*(-37*q**3 - 157*q + 157*q) + 3*q - 3*q**5 - 3*q + (0*q**2 + 2*q**2 + 0*q**2)*(q**3 + 0*q**3 - 2*q**3).\nAnswer: -338*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*a = -2, -5*b - 10*a + 5 = -12*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669362 to the power of 1\/2, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 - 7 = 0. Suppose -10 = -3*q - 5*l + 18, 0 = -2*l + 4. Let j = q + d. Solve -4*y + 0*y = j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9890 is divided by 8615.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 8*h + 9. Let u be g(6). Let x = u - -7. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1296635746*o**4 + 1218628416 with respect to o.\nAnswer: 5186542984*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -87*(1 - (7 - 4))\/(-2). Let c be (1 - 4)\/((9\/n)\/3). Factor 147\/5*q**5 + c*q**2 + 141*q**3 + 24*q + 105*q**4 + 12\/5.\nAnswer: 3*(q + 1)**3*(7*q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let u = 18567\/98 + -1326\/7. Let d = u + 145\/1666. Is d greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 6*i + 5. Let z be y(4). Suppose -5*m + 3 = z. Let c = m + 2. Which is smaller: 1\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2579254 and -2579257 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 5:16 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 17, 0.5, 9, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 15*r**3 - 25\/2*r**2 + 5\/2*r.\nAnswer: -5*r*(r + 1)*(6*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3632053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/(-5) + 1)\/(-1). Suppose -24 - 18*d**2 - 21*d**2 - 15*d**2 - 60*d - w*d**4 - 21*d**3 = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 42. Let k be z(-13). Let x be 2\/(-1)*(-1)\/2. Suppose -4*m = -4, -3*q + k*m + m = x. Which is the smallest value? (a) -3 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.95 + 2.95. Let l = -0.01 - 0.29. Let n = -0.2 - l. Which is the nearest to n? (a) -0.03 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 67867 + 17?\nAnswer: 67884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s + 5*o - 4, -5 = 5*s + 5*o. Let l = -1 - s. Let j be (-2)\/(-3)*(4 + 19\/(-4)). What is the biggest value in l, 0.3, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s - 85*s + 133 = -29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10764584 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.083 equal to 5441231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 18, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*1*3*(-3)\/9*-1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59589616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1189777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81.26322 micrograms?\nAnswer: 0.00000000008126322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:02 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 145*x - 3069. Let u be j(33). Which is the nearest to -0.1? (a) -2\/11 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/632361829 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 31 - 6 - 5 - 1699*t - 858*t to the form x + o*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 67.37553 years?\nAnswer: 0.06737553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-28))\/((-436)\/(-224) + -2)*1768\/(-7956).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -4136?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/26)\/(36\/(-36))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1389121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2690\/(-20175)*15\/(-4))\/(2\/(-20))*5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 910 - 2611. Let a = -6837\/4 - s. Find the common denominator of a and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 691074 and 1036611?\nAnswer: 2073222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h - 38*h + 32 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 2\/163, -343, 5, 472?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 1)*(-3*x - 2*x + 4*x) + 2 + 2*x - 2)*(13 - 3*x - 13) - 5*x**2 + 6 - 6 to g + s*x + z*x**2 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8707.\nAnswer: 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -124. Let z be 2\/(-6) - 6\/(h\/35). Let u = -3 + 10. Let f(r) = -9*r. Let b(c) = -3*c. Determine u*b(v) + z*f(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*j**2*o**3*z - 8*c**3*j**2 + 2*c**2*o**2 - 7*c*j**2 - j*z - 2*o**3*z wrt c?\nAnswer: 18*j**2*o**3*z - 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7771 = -16*a - 3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -509 divided by -430.\nAnswer: 509\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (286\/1320*6)\/(1170\/3825)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l - 12 = 51*l. Let d(h) = 3*h - 14. Let a be d(l). Suppose 5*t - 3900 = -5*o, a*t + 0*o - 3125 = o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 8. Let y be v(8). Let g be y*2\/(-2)*(-23)\/46. Is g equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (7 - 1) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*g**4 - 13*g**4 + 67 - 6*g**3 + 33*g**4 - 15*g**4 wrt g.\nAnswer: -24*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29492\/2117 + (-4)\/(-58).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tctc. What is prob of picking 2 c and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 13, -4, -1, -274, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-9 + -9)) + -7 - (2 + -10).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 193, 290, 387, 484, 581?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142.4 + 141.6. Which is the biggest value? (a) 17 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 127 = 318. Let h = y + -67. Calculate the smallest common multiple of 30 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*v + 97 = 151*v + f, 3*f + 54 = -3*v. Sort v, -0.3, 3.3, 1 in increasing order.\nAnswer: v, -0.3, 1, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**41*f**(-7)\/(f**(1\/6)*f))**(-4\/13) assuming f is positive.\nAnswer: f**(-394\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lee when three letters picked without replacement from eeeeeeeeeeeleeeeeee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 71*o**2 + 126*o + 747. List the prime factors of p(-66).\nAnswer: 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231 + 236. Solve -3 - 7 = r*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 4. What are the prime factors of (-150)\/12*t\/10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -841, 5, 0.5, 3, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 1. Let c be x(-2). Let w = -1 - c. Suppose w*n - n - 2*h + 260000 = 0, -n + 4*h = 52000. What is n rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 276 = 16*r. Suppose -2236 + r = -8*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - c. Let m be q(-1). Let z(j) = -6*j + 28. Let o be z(2). What is the units digit of (o\/m)\/(6\/(-63))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120.7 plus -1.514?\nAnswer: 4119.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -10 (b) -3 (c) 2 (d) 0.10802 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(9\/(-15) + 1). Suppose 33 = 7*b + 12. Let q(g) = g**2 - 6*g + 13. Let c be q(b). Solve -c*n - r*f = -2*n - 24, -6 = n - 2*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 42*o**2 + 393*o - 13. Calculate b(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 30 + 76*p + 82.\nAnswer: 76*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 16, 27 = 5*o + 3*d. Suppose 4*z = 8, 2*k - o*z = -2*z + 18. Calculate the lowest common multiple of 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783317525 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3\/4, -0.02, 156?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/11 or 2\/7429?\nAnswer: 2\/7429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17124 * 5.\nAnswer: 85620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3113111 (base 6) to base 11\nAnswer: a254a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-123)\/(-205))\/(-1*(-3)\/20). Solve 2*v = -2*s - n, 3*s - 8 - 6 = 2*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4971767 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011000000010111 (base 2) to base 4.\nAnswer: 3023000113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8305647 meters in kilometers?\nAnswer: 0.0008305647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5758*l**2\/7 + 5822*l\/7 - 64\/7 = 0. What is l?\nAnswer: 32\/2879, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 838534, 838554, 838574, 838594, 838614, 838634?\n\"Answer: 20*q + 838514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -3*l - 7*h, -32*l + 35*l = 5*h + 112 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.106 + 1.1. Let g = u - -0.506. Let j be 0\/1*2\/4. Which is the biggest value? (a) j (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/(3\/9). Suppose 3 - 4*n + 2 + 6*n**2 - 5 - h*n**4 = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + u + 9 = 0, -2*k + 5*u + 17 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 96*q**3 + 97*q**3 - 6*q**2 + 6*q**2 - 195*q**3 + 12*q**4 as i*q**2 + w*q + v*q**3 + l*q**4 + c and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.52 - 2.9. Let i = g + -14.62. Let y = i + 14.8. What is the fourth smallest value in 0.4, 4, y, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64*u**2 + 188 - 188)*(-8 + 6*u**2 + 8) as s*u + o*u**4 + t*u**2 + c + z*u**3 and give o.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193617799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859906023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 464, 1075, 1940, 3065, 4456?\nAnswer: 6119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64851.\nAnswer: 3, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7157, 11673, 23927, 47789, 87129, 145817, 227723?\n\"Answer: 645*l**3 - l**2 + 4*l + 6509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = 3*m + 18, 0 = -2*z + 5*m + 28. Let y = 5 - z. Suppose 4*f = n + 42, -n = -5*f + 3*n + 58. Solve -y = 3*p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (16 + -11) - (21 - -3 - -48).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2042231 (base 5) to base 3\nAnswer: -1201201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -4*z, -2*z - 15 + 3 = -4*b. Suppose -y - 119 = -2*f - f, 0 = -b*f + 4*y + 134. Put f, 5, -0.1, 1 in decreasing order.\nAnswer: f, 5, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/6 - (-29029)\/(-19362). Let r = w + 29039\/5532. Let o be 22\/5 - ((-12)\/(-5) + -2). Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7196, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a factor of 6401125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 9. Find the second derivative of 2 - 2 + j**2 + 19*j - v*j**2 wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1359 and -89\/2970.\nAnswer: 448470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(2) + sqrt(8)\/sqrt(4) + sqrt(2) + sqrt(2)) + sqrt(15))\/(2*sqrt(320)) - -2*(sqrt(3)*2 + 2 - (sqrt(432) + -1 - sqrt(432)))**2.\nAnswer: 1541*sqrt(3)\/64 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2789 - 13201. List the prime factors of u.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -511.924 - 0.076. Let d = u - -348. Let j = 163.917 + d. What is j rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 17 = 4*c, -87*n = 5*c - 91*n + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52134918 or -52134922?\nAnswer: -52134918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/10 in -255\/4, 2\/11, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 equal to 6\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffeforfof. What is prob of sequence feor?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -102677648 and -1.2?\nAnswer: 102677646.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -1\/3 (c) -2\/13 (d) 134 (e) -4\/9 (f) 0.2 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = x - 6 + 3, x + 17 = 3*c. Let s = 9 - c. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 17, 14, 7, -4, -19?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623184232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.077, 1723.4, -2\/11, -6?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 61.6. What is the second biggest value in 10, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 14*i + 11*i = -1442, -4*t - 3*i = -5750. Let o = t - 12920\/9. Determine f so that o*f**3 - 28\/9*f**2 - 20\/9 + 44\/9*f = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 6*k)*(-2 + 0 - k - 2*k**2 + 0*k**2).\nAnswer: -8*k**3 - 4*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u - 101. Determine z(-17).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/22, -27, -0.0755 in decreasing order.\nAnswer: 1\/22, -0.0755, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t. Let y(c) = -c + 324. Let f be y(t). Suppose -g + f = 3*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 243*w**2 + 238*w + 57830. Give r(-243).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 u, and 1 m when four letters picked without replacement from uuxuuxmuuguuu?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0.6, -0.037, -42?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.47 times -0.3?\nAnswer: -12.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3 + 2130*l**2 + 10767*l - 30030 = 0.\nAnswer: -7, 2, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 431056 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.52777*48.\nAnswer: 25.33296","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*x + 96 + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 19. Let z be -7*(-4)\/14 - -1. Suppose 4*k - 5*v = 36, -k = z*v - 29 + 3. Give f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + 15. Suppose -o + 6 = -l. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3792 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 - 5*d**3\/6 + 15*d**2\/2 + 2101*d. Calculate t(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 16*w - 21*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/47009225 or 0?\nAnswer: -2\/47009225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 - 23. Suppose -j = -5*s + 2*s + 4*n, -5*s = 3*n - 103. Solve d = -3*d - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129\/387)\/((-20)\/(-6)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -72cac?\nAnswer: 72cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 20. Let o(p) = 1. Let b(l) = l**3 - 6*l**2 + 5*l - 4. Suppose 0 = 2*d - 10 + 12. Let x(r) = d*b(r) - 2*o(r). Give x(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/25680 and 155\/59064.\nAnswer: 590640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 570*b**2 + 33696*b + 33128.\nAnswer: 2*(b + 1)*(b + 82)*(b + 202)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 w, and 1 c when three letters picked without replacement from wutctmt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 2559 - 2581 = 0. Calculate the greatest common divisor of p and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (16 - (-10 - -12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -6*y + 132. Suppose 19*z - y*z = 0. Find the common denominator of -149\/66 and z + 51\/(-16) + -38 + 35.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59, -0.5, 4\/7, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 89*h**2 - 2. Is 29 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k. Let n = -807 + 438. Let u = n - -377. Solve 2*o + k*o + u = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 10*t**2 - 13*t - 17. Let j be u(-11). Let o(y) = -7*y - 7. Let w(p) = 20*p + 20. Let n(x) = j*w(x) + 14*o(x). Determine n(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119411 is divided by 8525.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4492934ug?\nAnswer: 0.0004492934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136)*-3 + sqrt(136))*-5 + sqrt(136))*2)\/((sqrt(800) - sqrt(800)*-1) + sqrt(200)*-3).\nAnswer: 22*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 300061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/564908 and -81\/15534970.\nAnswer: 31069940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5129 + -5125. Solve -3*p = -g*u - 29, 0*u + 3*u = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -33*q - 972. Let j be r(-30). Let u = 1 + -1. Solve -2*g = 4*v - j, -v + 15 = 4*g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -698, -419, -138, 145, 430, 717?\n\"Answer: i**2 + 276*i - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 5. Let m be w(8). Let j = m + 24. Solve -i = j - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*v**2 - 112*v**2 - 62*v**2 - 71*v**2 - 86*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 41.38123?\nAnswer: 124.14369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10)**(1\/49) assuming b is positive.\nAnswer: b**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in hours?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42942388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, g: 1, m: 5, y: 4, t: 3, c: 2}. What is prob of picking 2 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*s - 5*s = -720 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.25 and 4.2611.\nAnswer: 4.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2. Let h(d) be the first derivative of d**2\/2 - 5*d - 111. Determine 3*h(p) + 7*w(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 42. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdycdbbe. Give prob of picking 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*i**4 - 1 - 7*i**4 - 5*i**4 + 16*i**4 + 2*i**3 - 2*i**3 + 2*i**4 - 2*i**2 - i**4 + 2*i**2 + (3*i**3 + i**3 - 6*i**3)*(-i + 2*i - 2*i).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 31*h - 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j - 8*j**5 + 4*j - 9*j**5 wrt j.\nAnswer: -340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 19. Let j = w - -301. What are the prime factors of j?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4778247 and 955.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-3)\/1 + 1. Suppose 5*c - 4*a - 7 = v, -4*a - 3 = 2*c + 11. Let r be (72\/(-5))\/(c\/1250). Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 82943\nAnswer: -82943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*x + 260, -x + 276 = -3*d - 4*x. Let f be d\/(-24) - 9\/12. Solve s + s = 4*i - 18, -s = -f*i + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3374, -3377, -3380?\n\"Answer: -3*u - 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3)*2*3. Suppose 16 + 56 = -3*n. Let g = n + 21. Sort 5, g, u.\nAnswer: g, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1 - -0.08165921.\nAnswer: 4.18165921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2995 + -2118. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + f**2 + 8*f - 2. Let m be v(3). What is the greatest common divisor of 6 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -15*f**5 - 50*f**4 - 35*f**3 + 20*f**2 + 20*f = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(10\/(-5)*(-22)\/(-176)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23148.89 from -1.950601.\nAnswer: 23146.939399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85.54 + -1360.46. Put -3, a, -4\/7, -4 in descending order.\nAnswer: -4\/7, -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*w - 4*o, 3*o - 22 = -w + 8 - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/10)\/((-50)\/250). Solve -t - w - r = t, 3*t + 7 = -2*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -450*l**3 + l**2 - 2*l - 3. Is 34 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 + -1101011?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -37. Which is the nearest to 0? (a) -4 (b) i (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5376 and 21504?\nAnswer: 21504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s - 925 - s**2 + 905 + 0*s**2. Suppose -4*a = 24 + 20. Let b be f(a). Calculate the highest common divisor of 264 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40597 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/10 - 0)\/(504\/2940)*1512\/441.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*x - 13536 = 67*x. Solve -35*i - x = -47*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2 + 300*y - 1280 = 0. What is y?\nAnswer: -64, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231517 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) + (-18)\/(-8). Suppose -22 = -n*w - 4*p, -w - 2*w + p = -19. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -69*o**2 + 4*o. Let a(t) = -137*t**2 + 9*t. Let d(b) = 4*a(b) - 9*u(b). Let m(l) = 3*l**2. Calculate m(d(w)).\nAnswer: 15987*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -357, -1, -2\/7, -2\/15, -9 in increasing order.\nAnswer: -357, -9, -1, -2\/7, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-64 - -69) + (-17 - (0 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803937?\nAnswer: 3, 89, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193\/68146 or -1?\nAnswer: 193\/68146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1773 = -62*t + 22*t - 157*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*m - 4*o + 5 = -982*m, -3*o = 4*m - 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/33 + 5*z**2\/11 - 95. Find a such that h(a) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 20*v**3 + 4*v**2 - 11. Let j(t) = t**3 + t**2 - 1. Let k(a) = -4*j(a) + q(a). Find the first derivative of k(x) wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, s: 15, h: 2}. Give prob of picking 1 n and 1 h.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l. Let g(f) = f**3 - 4*f**2 - 5*f + 1. Let h be 2\/7 - 33\/(-7). Let y be g(h). What is the units digit of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 3*j - 20. Suppose 4*z - 96 = o, j*z - 3*o = -o + 96. Let q be (-6)\/z + (-26)\/(-8). What is the second biggest value in q, -0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:18 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1094 and 2452?\nAnswer: 1341244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 106 + 12. Let o = z - -59. What is the biggest value in o, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -11 + (2 - 3394). Let y = 15495 + q. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f + 2*n + 697, -2*n = -8. Let z = f + 546. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 8 - ((-35 - -1) + 22). Solve -2*t - z*y + 6 = 0, -5*y = -12*t + 11*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-1) + 2)\/1. Suppose d + 6 = 4*z, 0 = -5*d + z + 1 - 12. Calculate the remainder when ((-130)\/(-20))\/(d\/v) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 4*i + 4. Let r be d(4). Let x(n) = 2*n - 2. Let g be x(r). Let u be g\/(2*6\/8). Put u, 7, -1 in descending order.\nAnswer: 7, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/30 + 1459*l**2. Let y(t) = -526*t**2. Determine y(m(d)).\nAnswer: -2104*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 - (-10 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -831, -1271, -1709, -2145?\nAnswer: -2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 7*n - 6. Let j be a(5). Sort j, 2, 1\/2 in descending order.\nAnswer: 2, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, r: 1, t: 1, f: 1}. What is prob of picking 1 f and 2 v?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150786 and 75.\nAnswer: 3769650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-12) - (-451)\/(-492). Suppose 4 + 0 = -2*z. Is z equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 25440 = -3*g, 12408 + 2872 = 3*z + 5*g. Does 113 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013860008 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110436117 to the power of 1\/2, to the nearest integer?\nAnswer: 10509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-846)\/(-7896)*(-6)\/39*(-7)\/(-2)\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 184 or 183?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/101007819 and 9\/836.\nAnswer: 404031276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*136\/((-12)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in 0.3, 1\/5, -5\/4, 3613?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 68 = -304. Is 2 + (-3 + h)\/(-3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-24) - 3\/2. Suppose 1 = -5*h + a. Let x be 28*(5\/20 + h). Is 5 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 904479?\nAnswer: 4522395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1155 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*(264\/(-66))\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 5*b + 1, -4*b = -5*j + 11. Suppose j*s + 4*y = -5 + 22, 2*s = 5*y + 42. Suppose 9 + s = 2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-6)\/3))\/(42\/21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 + 19*u**2 + 4*u - 3. Let w be m(6). Let y be (-84)\/741 - (-6)\/w. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-10) + (-65)\/50 and -31\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -9*k**2\/2 - 139*k - 1. Let y(r) = r - 19. Calculate -5*n(j) + 2*y(j).\nAnswer: 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.018 and 569.\nAnswer: 10.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204 + -216 + (1 - -47)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5405390*y + 5405401*y - 16216182*y + 5405400*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -515 + 531. Calculate the remainder when 214 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*5\/(30\/14). Suppose 4*l - 2 = n, -4*l + 3 = -4*n + c. Let f be (-4445)\/55 + n\/(-11). Round f to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33.04454 days?\nAnswer: 2855048256000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from {m: 3, t: 3, o: 12}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**4\/6 + w**3 + w**2 - 218*w. Determine x(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318255767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 18*l + 13*l + 23 + 0*l - 3*l + 2*l + (0 - 2 + 0)*(2*l + l - 2*l) + 2*l + 2*l - 6*l in the form k + u*l and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 + 1786478*w**2\/9 - 3572950*w\/9 + 1786474\/9.\nAnswer: -2*(w - 893237)*(w - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/24)\/(2\/(-9) + 0). Let y = j + 7. Let v be y\/(-2)*0 - (-11 - 115). What is the highest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -2619 - 1605. Let g = -222 + d. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -202*t**3 + 1157*t. Let i(h) = -235*h**3 + 1157*h. Calculate 6*i(y) - 7*p(y).\nAnswer: 4*y**3 - 1157*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1558837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 16) to base 9.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2 + 176 - 28)*(-5*s**4 - 4*s + 4*s).\nAnswer: 5*s**5 - 730*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14108872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 27, 3*l = w - 36 + 59. Sort w, 119\/3, -1\/7 in descending order.\nAnswer: 119\/3, w, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**3 - 421*b**2 + 13*b - 90. Let w(p) = -3*p**3 + 304*p**2 - 9*p + 60. Calculate -5*t(g) - 7*w(g).\nAnswer: g**3 - 23*g**2 - 2*g + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/60 - b**4\/12 - b**3\/3 + 37*b**2\/2 - 36*b. Let v(r) be the first derivative of g(r). What is the units digit of v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*t**3 - 496*t**3 + 967*t**3.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 23*g - 13*g - 2*g**3 + 27*g + 20*g in the form x*g**2 + l*g + q*g**3 + i and give l.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*v - 121*m + 123*m, 0 = -3*v - 5*m - 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2 (b) -0.3 (c) 1\/12 (d) 1\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*q**3 + 228500*q**2 - 371228*q.\nAnswer: -4*q*(q - 7139)*(8*q - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, k: 1, d: 3, u: 1, x: 1}. Give prob of sequence dd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/o*o**(4\/5))**(-35)*(((o\/(o*o**(-1\/9)))\/o)\/o**1)\/((o\/o**(-3))\/o**(1\/2)) assuming o is positive.\nAnswer: o**(3179\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 10a5b (base 14) to base 8\nAnswer: 117011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 8*h + 4*h - 1.\nAnswer: 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(18)\/sqrt(3)) + -5 + (-2*sqrt(288) - sqrt(288)) + sqrt(288) + 5)*5)**2.\nAnswer: 26450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6569138*k**6 - 3901109*k**2 wrt k.\nAnswer: 788296560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 69. Let s(n) = n**2 + 17*n - 4848. Give s(h(t)).\nAnswer: 4*t**4 + 310*t**2 + 1086","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374, -1547, -3520, -6293?\nAnswer: -9866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092813 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92647\/12 + -7713. Let c be 2*(2 - (-78)\/(-3)). What is the common denominator of d and ((-1)\/c)\/(4\/(-56))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27690266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467363 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 299997.33s in minutes?\nAnswer: 4999.9555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41589169\/128451116 + 2\/526439. Calculate the common denominator of -46\/671 and b.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v + 1. Let s(n) = -2*n**2 - 11*n - 2. What is -4*i(k) - s(k)?\nAnswer: -2*k**2 + 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2649*x**2 - 2*x. Let g be z(2). What is g rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (38\/(-2) - -1)*(-2)\/8. Factor 0 + 3\/2*z - q*z**2 - 3\/2*z**4 + 9\/2*z**3.\nAnswer: -3*z*(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. What is the units digit of (y\/2)\/(3\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.4 + -25.7. Let l(c) = c + 8. Let p be l(-5). Sort 7, y, -3\/2, p in descending order.\nAnswer: 7, p, y, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -7*c - 248. Suppose -18 = 5*l + c. Calculate the remainder when 73 is divided by (-300)\/l + 4\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102*-3*(-95)\/(-1368)*4.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:56 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -111?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 64, 190, 410, 730, 1156, 1694, 2350, 3130?\n\"Answer: c**3 + 41*c**2 - 4*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18017\/6 + -3003. Which is the third smallest value? (a) 5 (b) -2\/59 (c) -2\/11 (d) 0 (e) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/31919544 and 17\/7093232?\nAnswer: 63839088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -85, -188, -333?\n\"Answer: -21*q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2 (b) 34 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/142 and -115\/6?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Let x be 14\/4 - t\/4. Suppose -x*h + 32 = v - 5*v, 0 = -h - 3*v. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**44*s*s**(-1\/6)*s assuming s is positive.\nAnswer: s**(275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((99*f + 0*f + 96*f)*(-2 + 2 - 2) - 3*f - 2*f + 0*f)*(2*f + 3*f - 3*f) to the form n*f**2 + u + r*f and give n.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 254641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77514193 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 68.9671ng?\nAnswer: 0.0000000000689671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (97\/(679\/70))\/(-12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c = -54*c - 12, 2*b - 5*c = -12. Solve 0 = -2*u - 3*x + 9, b*u + 9*x + 17 = 10*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 + 535*u**2\/3 + 12277*u\/3 - 12811\/3.\nAnswer: -(u - 557)*(u - 1)*(u + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 83 = -27 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -34*m**3 - m**2 + 2*m - 4. Let l(a) = 68*a**3 + a**2 - 3*a + 7. Let v(u) = -7*f(u) - 3*l(u). Is v(3) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -29. Let t = -1.83 - -0.55. Let n = t - -1.08. Which is the third smallest value? (a) n (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22\/(-66) + (-254)\/(-3)*65\/10 is divided by 149.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1615\/9 - -1612\/9. Which is the nearest to w? (a) 11 (b) -3 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/33640 and 77\/12.\nAnswer: 100920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -42. Suppose -q = -0*m - 6*m. Suppose 0 = 5*s - 3*z - 0*z - 565, m = -z. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -4c6993b?\nAnswer: 4c6992c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -5 + 3\/(124\/24 + -5) and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1055 - -6.3945. Let y = -0.044 - -6.244. Let a = y - k. What is the closest to 0 in a, 2\/7, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 24 = -d. Suppose -d*q + 68400000 = -2*q. What is q rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**2 + 7*t**2 - 30 + 29 as k*t + q + u*t**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -2\/7 (c) 1911\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -3. Let y be (-35)\/s + (-1)\/(-1). Solve -5*u + y = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + 2*v**2 - 5*v**2)*(2*v - 2*v + 2*v + (-3 + 1 + 1)*(-2*v - 2 + 2)) + 3*v**3 + 7 - 7 as u*v**2 + w*v + n + s*v**3 and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/61)\/((-12)\/(-36)*3*7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9716)\/(-14) + 3*-1. Suppose 1601 = 4*c - y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**2 - 2\/3*l**3 + 2*l - 13 + 1\/4*l**4. Let v(u) = -3*u**3 + 5*u**2 - 5*u - 3. Give 2*v(d) + 5*x(d).\nAnswer: -d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/15)\/(2\/15). Suppose 0 = 4*r - u*r + 70. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w - 18*w - 1 + 6 - 11*w.\nAnswer: -52*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11222 (base 5) in base 14?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 765 + 69125.95181\nAnswer: 69890.95181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (690\/9936)\/(66\/297)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n**3 - 40*n**2 + 40*n**2)*(-3*n**2 - 2 + 2) + 9*n**5 - 12*n**5 + 4*n**5.\nAnswer: 40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f*j**3 + 6*f*j**2 + 231*j**5 + j**3 - 397*j wrt j.\nAnswer: -30*f + 13860*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231b7 (base 12) in base 5?\nAnswer: 3000224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/5636 and 56\/7045.\nAnswer: 28180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5\/2 - 9*l**4 - 24*l**3 = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-18)*-5*2\/8?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 2.1. Which is the biggest value? (a) p (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 2:08 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110022101120 (base 3) to base 8.\nAnswer: -7003134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9738 + 680 = -2810*h - 3766*h - 2734 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.114 * 3.74.\nAnswer: 0.42636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*l = -278291 + 237651 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**2 - w**2 - 26*w**2 + (-w + 4*w - 4*w)*(-w + 3 - 3) + 3 - 3*w**2 - 3.\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 619*w. Let f(l) = -2*l**2. Determine f(b(j)).\nAnswer: -766322*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 - 111. Suppose -2*t + 6*t - 44 = -2*c, -2*c + 4*t + o = 0. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/60 + 7*n**4\/24 - 5*n**3\/6 - 2*n**2. Suppose 4*s - 2*v = -0*v + 26, -2*s - 5*v = 5. List the prime factors of j(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*i + 477, 5*g - 331 + 1122 = -4*i. What is the remainder when 137 is divided by g\/(-20) - (-9)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183291.\nAnswer: 281, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbbxbbbb. Give prob of picking 2 b.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:26 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k. Let z(p) = -31323*p. What is z(n(u))?\nAnswer: 62646*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 12 + 18. Let i(k) = -2*k**3 + 8*k**2 - 5*k. Let u(m) = 2*m**3 - 9*m**2 + 6*m. Let x(b) = c*i(b) + 5*u(b). Find the third derivative of x(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d**3 + 5*d - 6*d**3 - 5*d**3 + d**2 + 14*d**3 + 0*d**2 to the form o*d**2 + s + c*d + z*d**3 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*o + 52 + 392 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3192, 3189, 3184, 3177?\nAnswer: 3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 2. Let j be m(-3). Which is greater: 1\/9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021 (base 7) to base 12.\nAnswer: -4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 12*o**2 - 6*o - 5. Let h be i(10). Suppose p - d = 1 + h, 5*p = 2*d + 671. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63934 is divided by 4476?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Let c(q) = -11*q**2 + 5*q. Suppose -4 = l + 8. Let r(f) = 28*f**2 - 12*f. Let j(y) = l*c(y) - 5*r(y). Calculate j(p(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -56*g - 115. Determine n(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 90 = -j + 3280, 2*j + 1068 = v. Suppose 0 = 5*y + 4984 - v. Let m = y + 6261\/8. Calculate the common denominator of -25\/14 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-19\/6))\/f)\/(f*f*f**(-2\/79)))\/(f\/(f\/f**11))**(1\/43))**(-50) assuming f is positive.\nAnswer: f**(-477025\/10191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/21)\/v*v**(3\/8))\/(v**(1\/5)*v)**(2\/15) assuming v is positive.\nAnswer: v**(-2897\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhik when four letters picked without replacement from {h: 2, c: 6, d: 2, i: 3, k: 1, u: 1}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3)*(6 + 0 + 2)*(129*n - 24*n**2 - 65*n - 61*n).\nAnswer: -768*n**2 + 96*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1073791587*w**2*x**2 + 11*w*x**2 - w*x + 620192*x**2 + 3*x + 2 wrt w.\nAnswer: 2147583174*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from rxjnpjrpdjnd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -13953?\nAnswer: 13951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20217 is divided by 518?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42236701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-47696)\/15176)\/(11\/(-42))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-3 + 13 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -45. Is 0.1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*i**5 + 3*i**4 - 55*i**3 - 15356*i wrt i.\nAnswer: -520*i**3 + 36*i**2 - 330*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1495*m - 2303*m - 878*m - 402766 = 2740*m for m.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/10 - 8*o**3 - 20*o**2. Differentiate y(t) with respect to t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7))\/((-170)\/(-595))*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 3*q - 84. Suppose 30 = 4*y + y. Suppose y = 5*z + 3*j + 5, 3*z - 2*j + q = 0. Sort -5, z, -3.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**0*h)\/h*h))**(-3\/17))**(-6\/19) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*m - 15 = 5*m, -p + 3 = -4*m. Suppose -2*u = x - 20, -3*x = -0*u + p*u - 63. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2. Let v be g(-1). Suppose 3*n = -2*n + 5*q + 30, -15 = -v*n - q. Suppose 8 = n*a - 3*a. Solve 25 = -a*d + 7*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w. Let r(j) = -7*j - 1. Let t(b) = 8*b + 1. Let f(d) = -7*r(d) - 6*t(d). Let h(m) = 2*m. Let n(x) = -3*f(x) + h(x). Calculate n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -778 - 2057853.16631.\nAnswer: -2058631.16631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 - 3204.\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -19*g**2 + 1. Let h be y(-1). Let i(t) = t**3 + 19*t**2 + 17*t - 14. Let s be i(h). What is k in 4\/7*k + 4\/7*k**s - 10\/7*k**2 + 0 + 2\/7*k**3 = 0?\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -41\/6, 2\/9, 1581, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i**3 - 12*i**3 + 31*i**3)*(-i**2 - 2*i**2 + 4*i**2).\nAnswer: 30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27434785 is divided by 219.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 114905064881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 240 = -24*l. Let c(s) = -s + 22. Let m be c(l). Solve -12 + m = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*d**2 + d + 7*d**3 + 10*d**2 + 0*d to p*d + y*d**2 + h*d**3 + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044 = 88*s - s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 - 7*x + 6. Let y be h(-7). Let a = 11 - y. What is the lowest common multiple of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {b: 8, t: 2, d: 5}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -64. Let o be 3 - ((-5)\/w + -4). What is the units digit of (1928\/10)\/o - 9\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*d = 4*c - 260, 3*c - 195 = 3*d. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11534*w - 11483. Calculate i(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3233 + -23244?\nAnswer: -20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 4*t**2 - 254*t - 500. Calculate y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = -6, -4*w + 9 = -21*b + 22*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 12 = 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 302, 300, 298, 296?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 56 - 11 + 2.\nAnswer: -7*v + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*4 + -5)*-1.\nAnswer: -4*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 792682 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1933 and 7.\nAnswer: 13531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1763452.397\nAnswer: 1763461.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbanc. What is prob of picking 1 n, 1 a, and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -8. Let u = 5.5 + j. Let o = -3.4 - -3.7. Sort 2, u, o in ascending order.\nAnswer: o, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19230474 and 1206.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 9*l = 24. Let s be (((-8)\/6)\/(-1))\/((-8)\/l). Find the first derivative of -s + 0 + 4*d - 1 - 1 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/2357628 and 47\/129540.\nAnswer: 11788140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/14*(-2842)\/(-812)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*n - 14, 10*n + 3*w + 19 = 12*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -46665 (base 7) to base 5\nAnswer: -341003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -21. Suppose -y*d + 6*d = -15, -d - 102 = -b. Let h = -93 + b. What is h rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/(i\/i**(-7)))\/(i**3*i))**(4\/11)*(i**1\/i**5)**(-2\/85) assuming i is positive.\nAnswer: i**(-2972\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**5\/30 - k**4\/8 - 2*k**3\/3 - 2*k**2 + 147. Let m(i) be the second derivative of d(i). Calculate m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/11850232 and -44\/9.\nAnswer: 106652088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2. Suppose 0 = 7*k + 18 - 32. Let a(b) = -4 + 4 - 4 + k - 11*b. Let x(v) = -660*v - 121. Let n(l) = -121*a(l) + 2*x(l). Determine n(g(w)).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14737.86 and -7?\nAnswer: 103165.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9982242 or -9982288?\nAnswer: -9982242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 not equal to -670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 39. Which is bigger: -7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 489217.37 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/5 and -21\/68.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 + 11*q + 7. What is o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52, -6 in descending order.\nAnswer: 2, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*f - 144*f + 695 = 0. Let n = f - 135. Solve -n*j = -5*i - 9 - 3, 0 = -4*j + 2*i + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 730*c**2 - 15407*c - 2682. Determine a(-385).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 860 divide 139184543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 1\/230, -6, -0.4, 4.8, 13?\nAnswer: 1\/230","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 2*b - 4*b. Let p(w) = -w + 1393 - 1393. Give s(p(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by (-55)\/(-25) - 1\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1473186810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0401 in -4\/3, -1052, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 18*v**2 + 158*v - 36 = 0.\nAnswer: -9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 417 (b) -176.66 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 4. What is l(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 67652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**2 + 39*m - 14*m**2 + 3*m**2)*(0 + 4 - 1).\nAnswer: -9*m**2 + 117*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-590)\/(-944))\/((-28)\/8 + 4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 + 44613*v + 312292\/7.\nAnswer: -(v - 312292)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/4))\/u)**2*(u**16)**(-45) assuming u is positive.\nAnswer: u**(-1439\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -876500439779312989\/339878 + 2578867828391. Let z = c + -3\/15449. Calculate the common denominator of 67\/14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 121 = -1475. Does 38 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31\/6 (b) -2 (c) -467 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/8, 5, -3, 15, 0 in decreasing order.\nAnswer: 15, 5, 0.3, 1\/8, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16283 and 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*d**4 - 14480*d**2*l**2 - 362*d*l**2 - 2*d + 1921 wrt d?\nAnswer: -180*d**2 - 28960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*u = 0, -5*l = -2*l + 2*u + 10. Let y = 4 - 0. What is the units digit of (-82)\/y*(-4 - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0579 in -4, 5, 1, -104?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - 21. Let m be z(8). Suppose 8*q - m*q + 5*d = 10, -3*d = 5*q - 14. Find f, given that -2\/3*f**2 + 0 + 2\/3*f**q + 2\/3*f**3 + 0*f - 2\/3*f**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 9, -3 in increasing order.\nAnswer: -3, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -13, -1, 29, 83?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + 2 + -3 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24039\/60110 + 1\/12022. Let y = -37 + 187\/5. Factor -2\/5*q**3 - 2\/5 + r*q + y*q**2.\nAnswer: -2*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 34*o**5\/5 - 3*o**4\/4 + 2471*o + 2396. Differentiate q(r) wrt r.\nAnswer: 136*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262187379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -8*g + 3*g - 3*v, 0 = 3*v - 6. Let d = 1.8 + -2.8. Which is the biggest value? (a) d (b) g (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 519264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijgigggjigiggg. Give prob of sequence ggii.\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66342, -66336, -66330, -66324, -66318, -66312?\nAnswer: -66306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/98 - 341\/196. Let s = m + 13\/12. Which is the third biggest value? (a) s (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100000 - 12?\nAnswer: -100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Let h(v) = 685220871*v**2. Determine s(h(j)).\nAnswer: -939055284107997282*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 11119*o**2 + 12647*o**2 + o - 25981*o**2.\nAnswer: -2215*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2. Let r(i) = -176*i**2 + 351*i**2 - 171*i**2. What is t(r(l))?\nAnswer: -80*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 5*v)*(9 - 9 - 5*v + (-3 + 0 + 5)*(v - 1 + 1) + 2*v - 3*v + 3*v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3463136 divided by -16.\nAnswer: -216446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/16)\/(-5) + (-69)\/(-12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*b**5*f + 3*b**4*f - 2*b**3 - 925*b*f - 3*f wrt b?\nAnswer: 1120*b**3*f + 36*b**2*f - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from disrspphphrhhhh. Give prob of picking 1 s and 1 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 - -37. Let h be (1*-24)\/(j\/(3 + 1)). Factor -h - a**3 - 3*a**2 + 52 + 0*a**3.\nAnswer: -(a - 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 2, o: 3, l: 4, g: 1}. What is prob of picking 2 j and 1 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 take away -1978.4311?\nAnswer: 1843.4311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324 = 4*x + 2*q + 1304, 2*x - 3*q = q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5173.02 - 5173. What is the second biggest value in s, 0.3, 1, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80601491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 0*q**2 - 11*q**4 + 1 + 3*q**2 + 3*q**3 - 2*q**2 in the form l*q**2 + w*q**4 + s + p*q**3 + f*q and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1\/3, -2, 130, 4 in increasing order.\nAnswer: -2, 1\/3, 4, 10, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 4*(-3)\/6. Let o(w) be the first derivative of w**4\/4 + w**3\/3 + 3*w + 1. Let j be o(r). Solve -h + 0 = j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 12*y**2 + 7*y + 8. Let i be j(12). List the prime factors of 30\/(-12) - i\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3080916 by 6.\nAnswer: -513486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(17) - (sqrt(68) + 1)**2) + sqrt(102)\/(sqrt(6) - (sqrt(96) - sqrt(6) - sqrt(6))))*-4.\nAnswer: 16*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 13) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 2*x**2 - 766*x - 16 + 777*x + 20. Let l = 3 + -13. What is q(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(24)\/(sqrt(12)*1)*-5)**2*-6.\nAnswer: -16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246839 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54700?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(p + 2*p + 0*p)*(6*p + p - 2*p).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -3 + (42 - -1). Suppose 5*n = 2*l + 451, -3*n + l = -310 + z. Let o = -151 + n. What is o rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 - 2*y. Suppose -5*u + j = -13, 22*j - 25*j = -5*u + 9. Let s be (-5)\/1 + -6*(-2)\/u. Let w(b) = b**2. Give s*d(g) - 5*w(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (-2*sqrt(70) - sqrt(70)))*-6)\/((sqrt(160) + sqrt(10))*5 + sqrt(10)) - ((sqrt(448) + sqrt(448)*1)*6 - ((sqrt(448) + 0 - sqrt(448)) + 5)).\nAnswer: -1260*sqrt(7)\/13 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 - 2*t - 51*t**3 - 37*t**3 - 2*t**2.\nAnswer: -88*t**3 + 12*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48 - 2)*(-8)\/(-16). Suppose -2*n + 0*n + 3*c = 6, -5*c + k = n. What is the remainder when (-111*(-2)\/n)\/1 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/((-3)\/5)*-3. Suppose l*k - 9*k = -k. Find o such that k - 4\/5*o**2 - 2\/5*o**3 - 2\/5*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**4\/3 + 220*b**3 + 3415*b**2\/3 + 470*b - 5480\/3 = 0.\nAnswer: -4, -2, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 326680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2239 (b) 0.4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22310 + 0?\nAnswer: 22310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, -1, -7, -37 in ascending order.\nAnswer: -37, -16, -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 0, 2944, 1, -4 in ascending order.\nAnswer: -4, -3, 0, 1, 9, 2944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147526\/(-4339)*(12\/34)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152) - -4*(sqrt(152) - (sqrt(152)*-2 + sqrt(152)))))\/((sqrt(72) - (sqrt(72) + 5*1*sqrt(72)))\/sqrt(9)).\nAnswer: 54*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**3 - i**2 - 19*i + 37. Is 34 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*z + 258065 = -804865. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 - ((-12 - 1 - 0) + -68 + (-135 - -215))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 14. Let w = -6 + b. What is the units digit of 10\/2*(w + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -169*x**2 + 2707 - 2707 + (0*x - 1 + x + 2)*(4*x - 12 + 12).\nAnswer: -165*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) + (-24)\/(-15). What is the first derivative of -5*m - d*m - 2*m**3 - 1 + 7*m wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {h: 5, p: 1, m: 4, e: 1, l: 1, n: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 1 + 24. Suppose i*o - 27 = 2*o. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 146819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 83. Let k be (2\/(-10))\/(a - (-2)\/5). Let v = -4 - -4. Put v, -3, k in decreasing order.\nAnswer: k, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 185 = -3*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -339, -475, -611, -747, -883?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, -12613, -1 in decreasing order.\nAnswer: -1, -115, -12613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - j + 4)*(-3*j**2 - j**2 - 2*j**2).\nAnswer: 6*j**3 - 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 157 = -7. Let y = d + 33. Suppose -5*m = -y*t + 25070 + 3544925, 0 = -t + 3*m + 1189997. Round t to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205820 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1 + 5*j - 6 + 2. Suppose 2*x + 15 = -10*t + 5*t, -3*x = 2*t + 6. Let r be i(x). Put 1, 8, -3, r in ascending order.\nAnswer: r, -3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3320 and 12035?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-132)\/20)\/((-2 + -1)\/(-15)). Calculate the common denominator of 81\/10 and 3\/g + 985\/(-660).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i - 1. Let h(u) = -1 + 3*u + 1. Let a be 2*((-45)\/(-12) - (-6)\/(-24)). Determine a*h(v) - 2*g(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90, 748, 1850, 3396, 5386, 7820, 10698?\n\"Answer: 222*x**2 - 8*x - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26550 divided by 177.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-1)*(-6)\/8. Suppose 3*l + j*f = 159, 2*l + 5*f = 3*l - 47. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*n + 126. Let u be (2 + 646)*6\/n. Let x = u + 62. Which is the nearest to -1\/3? (a) 0.4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*h - 192 = 0, s - 13 = 4*h + 17. Let u(l) = -l**2 + 102*l + 1898. Calculate the remainder when s is divided by u(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2099997 = -3*s, 3*s - 4*t = -1847401 - 252603. What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54976 divided by -1718.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u - 4*u**2 + 3*u**2 + 0 - 6. Determine p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 78 (b) 0.013 (c) 2\/11 (d) 424\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (45 + -3 + -31)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38753 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(17\/(459\/2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5700) - 3*(sqrt(5700) - (sqrt(5700)*1 - sqrt(5700)))) + -1*sqrt(5700)*2)\/(sqrt(1200) + sqrt(432) + sqrt(432)*1).\nAnswer: -10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in 3\/7, -0.2, -1, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 28*r**2. Let j(k) = k**2 + 90*k + 5. Calculate j(n(p)).\nAnswer: 784*p**4 + 2520*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7238 and 22?\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68248015?\nAnswer: 5, 11, 23, 53951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 158, 240?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 8:35 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000100110010011100011 + 100?\nAnswer: 1111000100110010011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 314045 to the power of 1\/2, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 5*w - 1. Let y(i) = 15*i**2 - 28*i - 51. What is 5*q(a) - y(a)?\nAnswer: -5*a**2 + 3*a + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -641 greater than or equal to -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y - 15. Let c(h) = 2*h - 4. Determine -9*c(v) + 2*u(v).\nAnswer: -2*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36597 + 878191\/24. Suppose 5*s = -5*s - 30. Calculate the common denominator of -1 + (1*s - 801\/(-324)) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/168 and -55\/1197.\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130)\/(-26) + (-2 - -4 - 2). Solve 0 = -2*k + 2*i - 0*i, 30 = -k - b*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-4)\/(-56)*49)*57\/(-456).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**2 - 308. Let i(f) = f**2 - f - 7. Determine -d(g) + 2*i(g).\nAnswer: -5*g**2 - 2*g + 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631566.6 hours to microseconds.\nAnswer: 2273639760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 4 (b) -4\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - 80. Let o be 2*(5 - 6) - (-2 + b). Sort o, -3, -2, 5 in increasing order.\nAnswer: o, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 7*s + 6. Let c be p(-6). Suppose -w + c*y + 4*y + 35 = 0, -w - 2*y = -23. Let m = -23 + w. Solve -m*j - 1 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(500) + 5 + (1 + sqrt(500))**2).\nAnswer: 150*sqrt(5) + 2530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/406 and -23\/6.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6242*c**2 + 16*c + 6. Let a be h(-6). Let k = 1 - 1. Suppose k = n + a + 15378. What is n rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/13, -15\/2, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 104\/(-40) - (-8)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 2)*(1 - 2). Suppose n*f + 4*f - 16 = 0. Let p = f - -1. Solve p = -5*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Suppose -5*a = -h - 2. Let q(o) = -1 + 6*o**2 - 11*o**2 + a. Let x(l) = 2*l**2. Give x(q(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/2, -21\/8 in decreasing order.\nAnswer: -1\/2, -21\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -4\/3, -5, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3041*v**4\/4 - 3*v**2\/2 - 1046*v - 11722. What is the second derivative of d(z) wrt z?\nAnswer: -18246*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*n**6 + 19*n**5 + 2*n**4 - 186184*n**2 wrt n.\nAnswer: 8400*n**3 + 1140*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19.98207 or 0.029?\nAnswer: 19.98207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -137273337 and -868086.\nAnswer: -138141423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.3, -3, 2, 1\/4, -174 in ascending order.\nAnswer: -174, -3, -0.3, 1\/4, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4522 + 383 + 3314 - 887)*(2*c + 0*c - 3*c) - c + 3*c - 3*c in the form d*c + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u + 8*u + 18*u - 53*u as w*u + y and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 74, 158.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 135. Let p(w) = -w**2 + 4*w - 4. Let h be p(3). Calculate the remainder when m is divided by (2\/3 + h)*-57.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 - 3533*u**3 + 77370*u**2 - 449632*u + 786464.\nAnswer: (u - 3511)*(u - 14)*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8136)\/21696*3*(-8)\/(-756).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.1 (c) 7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24827147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -41 - (-8 - -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbzfooztfbqozftz. What is prob of picking 1 f and 2 b?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(153) + -2)*-1*3)**2.\nAnswer: -105975 + 8100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155144637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 14272*r + 717468.\nAnswer: 4*(r - 3517)*(r - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -35*u**2 - 406*u + 2. What is v(-9)?\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 - 2*b**2 - 11*b + 16. Let f(o) = -9*o**3 - 5*o**2 - 22*o + 33. Let n(z) = -11*a(z) + 6*f(z). List the prime factors of n(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f + n - 7, f = 5*n - 10. Let w(c) = 2*c + 7. Let t be w(f). List the prime factors of 3 + 7 + 2 - t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 0. Let s(g) = -8*g**2 - 30*g - 12. Let q(i) = -3*i**2 - 10*i - 4. Let t(k) = l*q(k) - 3*s(k). Factor t(n).\nAnswer: -2*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6938107?\nAnswer: 11, 630737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 6. Let y be f(5). Is (2\/(-6))\/(y\/42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1197 * -0.5\nAnswer: 598.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647254 a multiple of 1683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0. Let u = w - -0.6. Let s = -0.8 + 0.6. Which is the nearest to u? (a) s (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4955*g**3 - 3*g**2 + 2*g - 8. Let c(p) = 3*p**3 - p**2 - 2. Determine 4*c(j) - v(j).\nAnswer: 4967*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 417 = -309. Let v = 137 - u. Calculate the remainder when 63 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b. Let h be 4\/(-10) + 12\/5. Let n(w) = -1 - 3 - h - w. Calculate n(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:05 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 27 = -3*w, -w - 69 = -4*a. Let v(j) = -j**3 + 17*j**2 + 18*j + 9. Calculate the remainder when 26 is divided by v(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 - -2.1. Does d = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**1*f)*f*f)\/f)**(-39))**(-25)\/(f**(-8)*f*f**(1\/7)\/f*(f**(-2))**(-18\/7)) assuming f is positive.\nAnswer: f**(-6806\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 18. Solve 0 = 3*s - 3*c + 9, -2*c + 7*c + g = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 376425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.6548 and 5564.\nAnswer: -48155.3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 40*w**2 - 2*w - 5. Let n be l(3). Let q = 550 + n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2646735 divided by -5817\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80627299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3502, -14010, -31532, -56074, -87642, -126242, -171880?\nAnswer: -224562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 210 - 30 = 0. Let s(t) = t**3 - 6*t**2 - 3. Calculate s(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1501.439 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 13428.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19958 is divided by 425.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*u - 4 = -5*u, -2*z + 4*u = 10. Let b be (2 - 1)\/((-3)\/(-9)). Suppose b*x + 4 = 2*x. Put -1, z, x in decreasing order.\nAnswer: z, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21240)\/539850*5*-2*5\/30?\nAnswer: 4\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t. Let u be v(4). Suppose -4*h**4 - 17*h**3 + 11*h**2 - 13*h**3 + 12*h - 12*h**4 - 9*h**u - 4 = 0. Calculate h.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*3\/(-6) - -1. Suppose -1 + 9 = 2*h + 3*f, r*f = 2*h - 8. Suppose 0*c = -h*c - 2800000. What is c rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 90 + (-15)\/(-15). Suppose 92*d - 260 = t*d. Does 44 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -663 - 4a74?\nAnswer: -52d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 81 = 3*s + 8*m, m = -4*s + 108. Solve -s*r = -26*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-12)\/5888) + 3. Let l = a - 32415\/22. Find the common denominator of 2\/(-8) + (-181)\/(-28) and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125036*u = 125277*u + 4820 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42325806 and -5?\nAnswer: 42325811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - (0 + -4)) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + p**4 + 212*p - 7*p**4 - 208*p in the form n*p**2 + i*p**3 + h*p**4 + c*p + u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.643 rounded to one decimal place?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*y + 151 = 3*q, q - 43 = -4*y. Suppose l = 60 + q. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(1 + -3 - -1). Suppose q + 0*q = 2. Suppose -3*g - 9 = -6*g. Put q, s, g in descending order.\nAnswer: s, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -43, -124, -247, -418, -643, -928, -1279?\nAnswer: -1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 40*j**2 - 2002*j + 168. Determine i(50).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.3, 261 in decreasing order.\nAnswer: 261, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 21, -75, -335, -831, -1635, -2819?\n\"Answer: -12*d**3 + 26*d**2 + 2*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -498\/1055?\nAnswer: -498\/1055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77 - -27688.029175?\nAnswer: 27688.799175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12 - 5*p + 0*p + 7 + 0. Let j(t) = -6*t - 6. Let m(y) = -2*y + 4. Let x be m(4). Suppose s + 2*s - 9 = 0. Calculate s*j(i) + x*o(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-171)\/(-6)*(34 - (-3020)\/(-90))\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40628 and 140?\nAnswer: 203140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 2*y)*((2 - 1 + 1)*(1 + 0 - 3) - 1 - 1 + 3)*(157*y**2 - 2*y - 158*y**2 - 3*y + 49).\nAnswer: -3*y**3 - 15*y**2 + 147*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -427377.\nAnswer: 5\/427377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 = -c, -5*c - 4*k - 7 - 14 = 0. Let b(i) = -i**3 + 9*i**2 + 3*i - 22. Let n be b(9). Sort c, 1, n in decreasing order.\nAnswer: n, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6606 and 115\/702.\nAnswer: 257634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 5, -2\/7, 6581, -1\/9 in descending order.\nAnswer: 6581, 5, 0.08, -1\/9, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14967\/36 + 2 - (-6)\/(-8). Suppose 4944 = f*d - 409*d. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2528 + -2523. Sort t, 1\/9, -1\/8, 0.2.\nAnswer: -1\/8, 1\/9, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + 14*r - 5. Is m(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -2\/5 (c) 194019 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360*i**2 - 4361757*i\/4 + 9087\/4.\nAnswer: -3*(i + 3029)*(480*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 74000 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 64*t**2 - 13*t - 212. What is l(0)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 3. Let l(n) = n + 1. Let x(j) = 3*l(j) + t(j). Let c be ((-12)\/18)\/(2\/(-3)). What is x(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 8811*a - 17634.\nAnswer: 3*(a - 2939)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2177*l**2*v**2 - 657*l*v**2 + 2*v**2 wrt l.\nAnswer: 4354*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76627 is divided by 4519?\nAnswer: 4323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3847.3 + -3847.2941939. What is w rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -62400, 1?\nAnswer: -62400","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-1))\/(-2*(-1)\/6). Suppose a = 5*c - 0. Let i be (25\/(-15))\/((-15)\/18). Solve -y = 4*s - 4, 6*s + c*y = s - i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18815795 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 778 = -2*s - 6*a, 3*s = 3*a + 1158. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7*l + 696 = -9*l, 2*i - 696 = -5*l. Suppose -i = -g + 972. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4821 - 14686\/3. Let f = -75 - s. Which is the third smallest value? (a) 3\/4 (b) 0.5 (c) -0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-12)*24\/20*24. What is the greatest common divisor of 2556 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240329763.\nAnswer: 3, 31, 37, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 85.79646 millennia?\nAnswer: 85796.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**7\/2520 + n**5\/120 - 7*n**4\/24 - 7*n**2. Let a(v) be the second derivative of p(v). Factor a(y).\nAnswer: -(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4690)\/(-3350))\/((-21)\/(-330)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152\/25 - -163\/25. Let m = -13 + n. Let f be 0\/(-1) + -1 + 1. Which is the nearest to f? (a) -0.5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 48195 - 48195.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -434*q**2 + q - 549 wrt q?\nAnswer: -868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**3 - 3*g**2 - 11*g**3 + 6*g**3 + 2*g**2 to the form u*g**3 + j*g + x*g**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17550 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 11) to base 8.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.98 - 4.7. Let v = 31 - r. Round v to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20322, -40757, -61192, -81627, -102062, -122497?\nAnswer: -142932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 108*f - 112*f, f - 12 = -2*o. Solve -30 = -3*w - o*u, 2*u = -2*w + w + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l, 2*s + 2*l = 6*s - 24. Let p be (1\/s*-2)\/((-12)\/72). Let n(o) = -o + 4. Let u be n(-4). Solve -2*h + p*g + u = g, 5*g = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 14*b - 41. Let s be (-276)\/(-230) - 92\/10. What is f(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 63231 = -5*q, 4*g - 17539 = -2*q + 7717. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 + 995 = -14*r + 628 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 900*k + 8 = 905*k, 40 = -5*q + 3*k for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 - 11. Let h(w) = w**3 - 4*w**2 - 6*w + 7. Let n be h(5). Suppose -4*t + 2*c = -n*c + 12, -12 = -2*t - 4*c. What is b(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + a - 9 = -10, -4*y = -5*a - 5. Solve 36*k - 47*k + 55 = y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17774595.3 hours to weeks.\nAnswer: 105801.1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -6*q + 10*q. Does 25 divide 2\/3 + 1490\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/10 - l**4\/2 - 2*l**3\/3 - l. Find r, given that j(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7 (b) 1 (c) -3 (d) -45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31914 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:41 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 677 - 25657\/38. What is the common denominator of (-4)\/40*(-59)\/1 and i?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.2 (c) 2 (d) -0.3 (e) 0.3 (f) 1828 (g) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 + 5 + 10*v**2 + 1.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-63) + 51\/(-7). Let k = x + 12. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, -33450, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 6380, 23505, 56848, 111815, 193812?\nAnswer: 308245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 564705041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 28. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 11 = 8*c - 10*c - 1, -36 = 38*c + 4*c + 2*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011101 (base 2) in base 12?\nAnswer: 5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 570 and 1\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-132) - 218\/(-11). Suppose -2*q - 5*x + 23 = 0, -2*q + 3*x + t = -27. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 5. Let n be o(-5). Let c be -7 + 4 + n + 5. Let k(m) = -m + 5*m**3 - 2*m**c + 6*m**2 - 5*m**2. Calculate k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -7*i - 36, -5 = 2*i + d + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-12) - (-44)\/16)*1. Suppose 2*a - 81 = -r*j, 0 = 3*a + 5*j - 2*j - 117. Let d = 2281 + a. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -51, -83, -135, -213, -323, -471, -663?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Suppose 2*h - 4*a = 3*h + 9, 0 = k*h + 3*a. Solve -h*t = -4*l + 4, 0 = -t - 2*l + 2 - 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920050 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 + 2*q - 248 - 252 + 1101 - 156.\nAnswer: 2*q + 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 - (-12)\/9. Let v = -7 - -7. Let c(x) = v - 4 + 3 + 13*x. Determine c(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y + 6*y**2 - 4660 + 4660. Let v(p) = 5*p**2. Determine v(s(x)).\nAnswer: 180*x**4 - 360*x**3 + 180*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2552423390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.096, 0.1, -1\/20057?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = w - 2 - 4, -5*p = 3*w - 16. Suppose -23 = -2*m - s, -s - 1 - 12 = -p*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 9. Let q be m(-13). Let y = q + 3. What is the smallest common multiple of 10 and -2 - 6\/(-3) - y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b175 (base 14) to base 16.\nAnswer: 10d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-20606.\nAnswer: -247272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -491, -2126, -4861, -8690, -13607, -19606, -26681, -34826?\n\"Answer: c**3 - 556*c**2 + 26*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + (-12)\/(-9))*198 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53032 divided by -3656.\nAnswer: 6629\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and 0.075127?\nAnswer: -4.883255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**3 - 5*b**2 + 21*b - 45. Let p be w(3). Solve -18*g + p = 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 0*h = -3*p - 6*p + 8*p - 34, 8822*p + 5*h + 46 = 8818*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 27*x**2 - 6*x + 49. Does 14 divide q(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1199, -4656, -10361, -18314?\n\"Answer: -1124*r**2 - 85*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/17)*m*m)**(1\/2) assuming m is positive.\nAnswer: m**(53\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 0 + 6\/2. Suppose n = 7*b - 5*b - 100. Let g(u) = -3*u + 5. Calculate the remainder when b is divided by g(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 35 = 1583*m - 1588*m, -r = -5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5242*h. Let n(s) = 425*s**2. Give n(m(l)).\nAnswer: 11678389700*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23158383266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 15) to base 3\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let a = b - 9. Let w(k) = -k - 5. What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22917 - 6142. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 843*j**2 - 196*j**3 - 1 + 839*j**2 + 844*j**2 - 2516*j**2 to k*j**2 + a*j**3 + b*j + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20139228*p - 4*p**3 + p**4 + 1 + 0*p**4 - 20139228*p - 20*p**6 + 268*p**2 wrt p.\nAnswer: -2400*p**3 + 24*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 3:55 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/(u\/u**6))**50 assuming u is positive.\nAnswer: u**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 806*l - 81. Is p(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 6 = 7*n. Solve 4 = n*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/3605 - -14122\/537145. Is w less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 1. Let b(m) = -2*m + 8. Let u be b(7). Let v(n) = -5*n + 6. Let j(c) = u*y(c) + v(c). Let f(l) = 3*l + 7*l - 2*l. Determine j(f(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 - -204. Suppose 0*r + 8*r = -a. Let t(y) = 2*y + 10. Let k be t(r). Which is smaller: k or 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 b, and 1 x when four letters picked without replacement from ydddbdbyabcxbbabdady?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7901 rounded to 1 decimal place?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.5607 and -952.\nAnswer: 9101.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -23536.\nAnswer: 5\/23536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4 = 6*t, 856102*t - 856103*t = 2*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35011243 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1135 (base 13) to base 5\nAnswer: 34120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2232654*h - 190. Let u be o(15). What is u rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 h when three letters picked without replacement from {h: 4, b: 4, e: 1, t: 2, z: 4, a: 5}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 16*g**2 + 4. Let o be k(-16). Suppose 0 = -3*q - p + 156, o*q + p - 206 = -p. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 3) + (-2 - (-7 - -13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -1992?\nAnswer: -597.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 9, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 11909*h**3 - 5861*h**3 - 6025*h**3 - 1 + 4.\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2492.8 - -2496.8. Let j = -1 - -9. Let s be (2\/4)\/((-4)\/(-8)). What is the biggest value in 1\/6, j, s, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*y + 92 + 380, y - l = 96. Let a = y - 65. Suppose -3*s + 99 = -3*d, -2*s + a = d - 24. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3953 - -2525. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2288224\/9 + -254246. Find s such that -1\/9*s**2 - 1 - n*s = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 490. Let k = s - -101. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39816 and 2968?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11011011000100110010001?\nAnswer: 11011011000100110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4323334 + 10989.6?\nAnswer: 10989.1676666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*g**4 - 203570*g**3 - 471833*g**2 - 222*g wrt g?\nAnswer: 1440*g - 1221420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*k**3 + 5624*k**2 + 4404*k - 1256.\nAnswer: -4*(k - 157)*(k + 1)*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2916 and 110.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-18))\/(1\/2). Suppose 0 = n + o*k - 1, -2*k + 7*k = -5. Suppose 3 = 2*b - 2*s + 11, -5*b - n*s + 20 = 0. Which is greater: b or 3\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 3. Let v(o) = -o. Let a(h) = n(h) + 3*v(h). Let j be a(3). Is -1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 5*d + 3. Let j be s(-8). Which is smaller: -22 or j?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 28 = 23. Let n be y\/68 - (-318)\/8. What are the prime factors of (20\/n)\/(1\/60)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rseqqqqv. What is prob of picking 1 q, 1 v, and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-4*6\/56*728\/(-624)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 24. What is u(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1053)*1 - sqrt(39)\/(-1*sqrt(108)).\nAnswer: 325*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 2:14 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11524 + 10?\nAnswer: -11514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18588314 divided by -526?\nAnswer: 35339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p. Let q(x) = 43*x. What is q(w(g))?\nAnswer: 258*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 1729140*n**3 + 747481284900*n**2.\nAnswer: n**2*(n - 864570)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let n(b) be the second derivative of -b**4\/6 - 8*b. Determine n(o(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*a**4*l**2 - 456730*a**4 + 2*a*l**2 + 2249942*a*l wrt a.\nAnswer: -900*a**2*l**2 - 5480760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31545 less than 2840.04?\nAnswer: 2839.72455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**2 + 1948*h + 17778. Determine t(-234).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - 39. Let y = l - -85. Let j = y + 40. Solve -j*n - p - 8 + 29 = 0, -2*p = 5*n - 30 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 p when three letters picked without replacement from {o: 3, k: 2, x: 8, p: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 = 3*i - 10, -2*y - 10 = -i. Let u(v) = 1 - 3 - 2*v - i*v - 2. Let g be u(-1). Solve 0 = -3*s + g + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 1\/3*l**3 + 0*l**2 + 26*l + 0. Let r(n) = -12*n**2. Give q(r(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3279.1 + -3279. Which is the closest to -40\/7? (a) 1\/4 (b) -8 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b + 2 = 0, -3*m - m = -3*b + 6. Let p(x) = x**2 + 7. Calculate p(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2)*(-31 - -30) + 810\/90.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-21673.39\nAnswer: 130040.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from qzqzzqqqcjzqzjqccqz.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 - z**2 + 1 - 2*z**3 - 10*z**4 - z + 0*z**2 + 10*z**4 in the form w + a*z**2 + v*z**3 + l*z**4 + m*z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/15)\/(i**7\/i))\/(i**(-2\/25)\/i*i*i**(-4)) assuming i is positive.\nAnswer: i**(-134\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129327 + -41936. Let r = o - 87387.2443. Let y = r + -3.74. Round y to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1571\/7 + 224. Sort 0.1, o, -4 in descending order.\nAnswer: 0.1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*c + 32, 4*c - 31 = -5*d - 0. Solve 0 = d*q - 5*a + 29, 4*a = -3*q - a + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/((-21)\/(-5880)*-10)*-1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 11. Suppose -d - 3*k = -5*d + 17, 5*d - 3*k - 19 = 0. Suppose 3*l - 3*w = 3, d*l - 6*w = -3*w - 2. Solve -c - 4*b = 21, o - l = -3*c - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/4 + l**3\/3 - l**2\/2 + l - 6. Let z be v(0). Let g be (30\/4 - 4)\/z. Which is bigger: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l**5*u - 27*l**5 + 2*l*u - 330*u + 3 wrt l?\nAnswer: -200*l**3*u - 540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13168635 or -13168632?\nAnswer: -13168635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7742 + 7751. Solve f*s + 286 - 286 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -67*s - 127 + 265. Let f(j) = j**3 - 5*j**2 - 7*j - 3. Let v(t) = -2*t**3 + 8*t**2 + 11*t + 5. Calculate s*v(r) + 8*f(r).\nAnswer: -2*r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18044, 1\/220, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9994578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1 - -5*(-4 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22285\/152561 + 1\/3721. Sort -0.4, -3\/2, 5, j in descending order.\nAnswer: 5, j, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 0*a**2 + 2*a - 9 + 0*a**3 + 0*a**4 - 1\/5*a**5. Differentiate n(h) with respect to h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 < 249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -559 - -786. Find the second derivative of l**2 - 206*l + w*l - l**2 - 72*l**5 wrt l.\nAnswer: -1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -152, -125, -68, 31, 184, 403, 700?\n\"Answer: 2*t**3 + 3*t**2 + 4*t - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 4*x. Let y(q) = -2*q**2 + 3*q. Let t(l) = 3*o(l) - 4*y(l). Suppose -6 = -0*i - 2*i. Let k(r) = 2 - 2*r + i - 5. Give k(t(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00301067 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4542 (base 7) to base 4\nAnswer: -121233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*z + 12 = 0, -2*s + 2*z + 0*z + 6 = 0. Suppose 5*j = -l + 48, 2*j - j - 4 = s. Let c(g) = -3*g + 89. Does 5 divide c(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 77. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 4*c - 2*u, -4*c = -3*u - 12. Is (-41962)\/6*(c + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 2}. What is prob of sequence jj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10*d**2 + d. Let i(q) = 5*q**3 + q**2 - 7*q - 2. Let v be i(2). Let j(u) = v*u + 12*u - 38*u. Determine j(w(m)).\nAnswer: -20*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.43 - -1.43. Are t and 0.04 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -15. Solve -2*x = -b + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 2*i**3\/3 - 3*i**2\/2 + 2*i. Suppose -11*p + 7*p + 8 = 0. Let b be k(p). Solve -b*x - 1 = -16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(-4)*4*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -3\/8, -267 in increasing order.\nAnswer: -267, -4, -2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**2 - 241 - 248 - 4*t + 489.\nAnswer: 20*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 28*o**3 + 0*o**2 + o + 8*o**3 + 0*o**2.\nAnswer: 36*o**3 + o - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -943154.079 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2 + 1. Determine n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/45)*c)\/(c*(c*c**(-19))\/c*c) assuming c is positive.\nAnswer: c**(812\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from fawlfalflafawlfffl.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 2*k + 2. Let x(g) = -21*g**2 - 9*g - 9. Determine -18*u(m) - 4*x(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -6\/19, 2?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -205730548?\nAnswer: 205730545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -820*d**2 + 16389*d + 213. Calculate i(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/783 and -151\/390?\nAnswer: 101790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-23)\/(-7))\/(-20 - 5555\/(-275)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-2))\/(15\/6). Let z(k) = 2*k**3 - k**2 + 2*k - 1. Calculate z(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1 + -2 + -3. Let h(r) = -r**2 - 7*r - 4. Let d be h(x). Solve 5*u = t + 4, d*t - 8 = -5*u - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 52?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/5, 0.1, -1.354593, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(119))\/sqrt(7) + (-5*(sqrt(187) + 1*sqrt(187) + sqrt(187)))\/sqrt(11))*-4.\nAnswer: 68*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1\/36*6*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -7) + -11 + 29 + 562. What is the smallest value in -2\/13, l, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 19969.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 34. Let j(k) = -k**2 - 1. Let r be j(-4). Let i = b + r. Solve i - 4 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 372935756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 10*b + 566 = 5*x, -5*b - 310 = -3*x. Let v = x + -70. What is the least common multiple of v and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p + 355. Let i be (-12)\/(-66) - (-387)\/(-11). Let n = i - p. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 32. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times -556\nAnswer: -11676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -20*k + 67*k - 33*k + 94. Let r be c(-11). Is -60 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*d + 4*w + 11, 4*w + 13 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*l - 51*l + 214*l - 57*l - 50*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -7, -9, -11, -13, -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1163\/4 + 271. Let m = 9 + -1. Find the common denominator of a and (-2)\/m + 230\/(-56).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -8, 0*o = -o - 4*x + 48. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 41 + (-17 - -61) - 9.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/16 + v**3\/8 + 3*v**2\/4 + 2*v. Solve i(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 58*r**3 + 386*r**2 + 570*r - 900.\nAnswer: 2*(r - 15)**2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*(p*p**(-3\/8))\/p)\/((p*p\/(p\/(p\/p**(-2\/9))))\/(p*p*p**(-1\/2)*p)))\/(p\/(p**(3\/5)\/p*p)*(p\/(p*p**(-4\/11)*p)*p*p)\/p)**(-3\/37) assuming p is positive.\nAnswer: p**(-298213\/146520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 908, 968, 1122, 1418, 1904, 2628, 3638, 4982?\nAnswer: 6708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 1, -20 in decreasing order.\nAnswer: 70, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/4, 0.037 in increasing order.\nAnswer: -5, 0.037, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -14. Let l = 34 - u. Suppose 0 = -0*v - v + l. What is the remainder when 15 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 481\/(-26)*(18\/(-6) - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 204 = -2*n + 7*t, 4*n - 3*t = 422. Let w be (n\/(-78))\/((-4)\/6). Factor -48\/5 - 3\/5*y**w + 24\/5*y.\nAnswer: -3*(y - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/22 + (-3311950)\/(-550)?\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(140) - 1*sqrt(140))\/sqrt(10))\/(sqrt(288)*-1 + sqrt(2) - 2*(sqrt(2) - sqrt(2)*2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose -c - 4 = w - 4*c, -4 = -5*w + k*c. Suppose 4*b = -6 - w. Is -2 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762342499 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/8)\/((-7)\/(42\/(-3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s**2 + 3*s - 17 + 17 to the form h*s + r + a*s**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77, 86, 95, 104, 113, 122?\n\"Answer: 9*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24130 + -96521\/4. What is the nearest to r in -2.2, -1, 1\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3082999 and -8.\nAnswer: 3082991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176 - -572. Let u = -2371\/6 + s. What is the second biggest value in -0.02, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.5 (b) -5 (c) -66 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 576. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 e, and 1 a when four letters picked without replacement from {m: 1, x: 1, e: 2, f: 2, a: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/5, 30\/157, -5, -5\/3 in ascending order.\nAnswer: -5, -5\/3, -2\/5, 30\/157, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1152*y + 364*y**3 - 734*y**3 + 1149*y - 76*y**3.\nAnswer: -446*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/82 and -65\/3.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 8*f**2 + 9*f + 10. Let y be v(-9). Suppose y + 30 = -5*h. Does 5 divide (h - -23)*(-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129225 or 129226?\nAnswer: 129225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by -72.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14.198757 and 7.\nAnswer: -7.198757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1. Suppose -2*i - 3*w = -19, 3*i - 7*i = -2*w - 14. Suppose -3*h + 2*s - 6*s = 18, 0 = i*h - s + 7. Let t(m) = m - 4. Give h*l(n) + t(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 7:36 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -83, -156, -255, -380, -531, -708?\n\"Answer: -13*n**2 - 8*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21\/271 - -24245\/1626. Let u = 1258\/11 - 8923\/66. What is the common denominator of u and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 + 7*x + 7. Let m(b) = -b**2 + b + 1. What is 21*m(h) - 3*s(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d - 5600 = -77*d - 55*d. Solve 25*w + 6 = d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50*(-330)\/137500*2\/((-16)\/(-10))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55897 take away 236.5357?\nAnswer: -234.97673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-30) - 255\/(-18). Calculate the common denominator of d\/15*(-156)\/48 and 127\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (29997 - -3) + (3 - 3). Round t to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.31, 2\/19, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908066947.\nAnswer: 3, 14737, 65777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-11)*(-3486)\/(-126)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/60*35 + -5)\/(3\/10). What is the second biggest value in o, 70, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:54 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/4 - 815*z**4\/4 - 10094*z**3 - 133825*z**2 - 228900*z = 0. Calculate z.\nAnswer: -763, -30, -20, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 187 (b) 1\/5 (c) 0.3 (d) 2 (e) -1 (f) -1158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -756 - 73*h + 756 to b + s*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1239*q**2 - 8*q - 8. Let w = 7 - 11. Let z be a(w). Round z to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 6*a - 40. Determine k, given that 2*k**4 + 2*k**4 - 224*k**5 + 2*k + 449*k**5 - 4*k**2 - 227*k**a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*f + 5*j, -4*j + 5 = -7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m**2 + 6*m - 13. What is o(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041306 to seven dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1542 + -3077\/2. Let w(x) be the first derivative of 0*x**3 + 2\/5*x**5 + 0*x + 6 - g*x**2 + 0*x**4. What is the second derivative of w(b) wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9665, -19354, -29055, -38774, -48517?\n\"Answer: -k**3 - 9682*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4240 - 253010?\nAnswer: -260250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 3*r + 4*r**2 - 3*r as f*r**2 + q*r + l and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105802560*k*v - 77968891*v with respect to k.\nAnswer: -105802560*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 222, 3, -3, 4, -420 in decreasing order.\nAnswer: 222, 4, 3, 1, -3, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**6\/8 - 3*q**5\/10 - 9*q**4\/8 + 5*q**3 - 57*q**2\/8 + 9*q\/2 - 20. Factor f(x).\nAnswer: 3*(x - 2)*(x - 1)**3*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 1 + -1)\/((-271)\/(-1897)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -56\/3*h**3 + 0*h - h**2 + 66. What is the second derivative of d(n) wrt n?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 17*w**2 - 13*w - 15. Let f(h) = 3*h**3 - 25*h**2 - 20*h - 22. Let y(c) = -5*f(c) + 8*x(c). What is the tens digit of y(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1041 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -336 + 561. Suppose f = 2*f + 2*x - 74, -3*f - 5*x + s = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j + 42. Let x be q(7). Solve 0*r - 11 = -2*o - 5*r, x = o - r + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1 - (-5 - 1). Suppose -l - 4*x = -29, -4*l = 2*x - o*x - 78. What is the highest common factor of 189 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 10*p**2 + p - 6. Let c be b(10). Let s be (12\/c)\/(63\/14). Let q = -3 - -4. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 20*n**2 + 18*n + 28. What is the units digit of o(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.7 times 3.1?\nAnswer: 640.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 3\/6 - (-56)\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -58, -9, 94, 269, 534, 907, 1406?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 2. Let k be z(3). What is the remainder when (-592)\/(-10) - k\/(-40) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2)*((-20)\/8 - 48\/(-96)). Let f be -2 + (-3)\/(54\/(-44)). Which is the nearest to j? (a) -2 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -680729, -680717, -680703, -680687?\n\"Answer: x**2 + 9*x - 680739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert -10202110210211 (base 3) to base 11.\nAnswer: -1144686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 63. Let p(a) be the second derivative of 3*a**3\/2 + 127*a**2\/2 - 2711*a. Determine -7*l(s) + 3*p(s).\nAnswer: -s - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 57. Which is smaller: -24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 8422 = y - 5*b, -3*b = -4*y + 4210. What is the greatest common divisor of 306 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 114 + 57 - 2711*z.\nAnswer: -2711*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 995840 and 352.\nAnswer: 10954240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60816109*g**4 + 400002302*g wrt g.\nAnswer: -729793308*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 bigger than 212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 8. Give d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 0*p + 5*t = 1, -4*p - t = -13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -267, -921, -1577, -2235, -2895, -3557, -4221?\n\"Answer: -g**2 - 651*g + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -955 - -4644\/5. Which is smaller: -25 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2 - -5) - 0) + 35 + -38.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*v - 6. Suppose 0 = -3*a - 4*g + 166, -v*a + 3*g + 105 = -a. Calculate the greatest common factor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230888?\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + -24 - -65) + -24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2000750542 - 1164445458 = 17*f - 106*f. What is f rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*i - 83*i = -371. What is the remainder when 206 is divided by i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, u: 15}. What is prob of sequence uu?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 6*n**2 - 5*n. Suppose -15*d - 20 = -11*d. Let f be i(d). Suppose -x = -f*j + 2*j - 7, -4*j = 4*x - 12. Sort 1, x, 2, 4 in descending order.\nAnswer: 4, 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 84*n**4 - 1048*n**3 - 2736*n**2 + 10368*n = 0.\nAnswer: -18, -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) + (-40)\/15 - -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161687433*y**4 - 412807478 with respect to y.\nAnswer: -646749732*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 185257, 3, 5 in descending order.\nAnswer: 185257, 5, 3, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 405? (a) 0.3 (b) 4 (c) -0.2 (d) 5 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 6*k**2 + 7*k - 3. Let c be (-1152)\/160 + (-2)\/(-10). Calculate q(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 2*f**7\/21 - 4*f**4\/3 + 18*f. Find the third derivative of n(h) wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 121*a**2 - 222 + 93*a**2 + 116 + 53.\nAnswer: 214*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 130 - 3*v - 131. Calculate k(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 87 = -19*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s*s**(-1)))))**(-1\/11)\/((s\/(s**(-1\/4)\/s))\/s)**7)\/(s**(1\/3)*s**(5\/4)*s)**39 assuming s is positive.\nAnswer: s**(-2411\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -80*d**2 + 104*d - 16. Let q(k) = 1. Let w(v) = -c(v) - 16*q(v). Find the second derivative of w(h) wrt h.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**5 - 2*n**5 - 2*n**5)*(-107 + 163 - 118).\nAnswer: 372*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 119.837 (c) 1 (d) 1\/112 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/2 - 8024*x - 32192288 = 0. Calculate x.\nAnswer: -8024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37843\/4662 - 16\/259. Suppose -f - 2 = -4*z + 4, 0 = 5*f - 2*z - 6. Find the common denominator of 445\/110 + f\/(-11) and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*2*sqrt(3)*1)**2 + -2) - (((sqrt(528) - (1*sqrt(528) - sqrt(528)))\/sqrt(11))**2 - ((sqrt(75) + 1)**2 + (sqrt(84) + sqrt(21))\/sqrt(7))).\nAnswer: 13*sqrt(3) + 1816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 10*y**3 + 12*y**3 + 5*y + 7*y**4 - 1 - 4*y - 4*y**4 to d + l*y**3 + u*y**2 + c*y + b*y**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*p**(2\/23))*p*p**(-4\/15))**(2\/97) assuming p is positive.\nAnswer: p**(446\/33465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -589857592, -589857594, -589857598, -589857604, -589857612?\n\"Answer: -v**2 + v - 589857592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -6*((-9)\/3)\/(-6). Let k(w) = 0*w + 8*w**2 - 4 - 11*w**u + w**3 - 4*w + 6*w**2. Calculate k(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239348 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 10. Let s be n(3). Let i be (-8)\/(-5) + s\/40. Find the third derivative of -9*b**6 - 4*b**6 + 7*b**2 + 4*b**i wrt b.\nAnswer: -1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/2 + 14\/28. Solve -c - 5*z + 0 = -4, -2*z = -c + v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1166 = 2*v + 3*v + 3*h, -2*h = -4. Suppose -3*d = d - v. Let x = d + -47. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10616 by 10616.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + q - 5, -j - 16432*q + 1 = -16433*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 4 = x, 209*f - 208*f = 5*x - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 996655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -5 + -6 + (-41 - -7)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 10, -61, -1 in decreasing order.\nAnswer: 10, -1, -61, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/360 and 163\/150.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1 + (-2 + 4 + 0)*(-1 - 4 + 4))*(-4 + 4 + 3*z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 divided by -280?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 + (-42)\/(-10). Suppose 5*t + 43 = 53. Let z(d) = 2*d**3 - d**2 - d - 5. Let r be z(t). Is p greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-2))\/(32\/96). Solve 0*k = k - 2*r + 9, -4*r = 5*k + i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -588, 0.1, -1.4.\nAnswer: -588, -1.4, 0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 14*t - 15. Let b be m(-18). Let p = -52 + b. Is p at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(765\/(-1377))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.06695 years to centuries.\nAnswer: 0.6206695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6921, 13141, 19379, 25635, 31909?\nAnswer: 38201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1010010000 (base 2) to base 14\nAnswer: 34c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 5*f = -70 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1807*g**2 - 1296*g**2 + 32*g**2 - 1677*g**2 - 97*g**2 - 1331*g**2.\nAnswer: -2562*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + t - 4*t - t - 2*t + 4*t + (2 + 3 - 2)*(5*t - 2*t - t) + (2 + 1 - 1)*(2 - 2 + 2*t) + t + 5*t - 4*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3) - -1)*(-6303)\/22. Let v = 743\/2 + p. Which is bigger: -10 or v?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3636*u**3 + 167 - 167.\nAnswer: -3636*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 302*i + 10417. Give n(262).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/3*(12\/10)\/(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 5. Let f be 85\/20 - 3\/12. What is g(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12652 = 2*b, -195*b = -3*k - 199*b + 37968. Is k a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 1:03 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 3406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f*f*f**0)**(35\/4) assuming f is positive.\nAnswer: f**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 6, 0 in increasing order.\nAnswer: 0, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 3}. What is prob of sequence nnni?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 - 4*z**2 - 3*z - 4. What is the remainder when w(5) is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 6. Let k be (1803\/(-4))\/((-24)\/32). Let x(w) = 299*w - k*w + 304*w. Give r(x(a)).\nAnswer: 4*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**3 - n**2 - 597870*n + 14488493 wrt n?\nAnswer: -6*n**2 - 2*n - 597870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4 + 6 + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and -27.7705?\nAnswer: -805.3445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 + (-17019)\/976 - 3\/(-16). Suppose 3*i = 5*v + 7*i - 13, -5*v - 5*i = -10. Let d be v\/18 - 2\/4. Which is the nearest to p? (a) d (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1681268 = 9*p + 334732. What is p rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 4*m**2 - 4*m + 20. Let s be v(-5). Let p(n) = -s*n + 1 - 13 + 8 + 8 + 2*n. Let f(k) = 26*k - 9. Calculate -4*f(z) - 9*p(z).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.3 (c) 258 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -2\/233, 1824.\nAnswer: -35, -2\/233, 1824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 515 and 80855.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 - (7 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -461 - -456. Which is the third biggest value? (a) h (b) -1 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-149237)\/816185 - 5\/(-25). Let u = o - 6\/683. Let w = u + -737\/2390. Is 1 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1250*y - 710. What is the tens digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, n: 7}. What is prob of picking 4 h?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 2*j**2 + 2*j + 3. Let t be c(3). Suppose -y - 17 = -5*o - 2, -o + 2 = t. Put 5, y, 4 in descending order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-1440)\/((-120)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -671, -34 in ascending order.\nAnswer: -671, -34, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2120*u**6 + 19*u**2 + 19 wrt u.\nAnswer: 254400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + -119. Suppose w*g + 2498 = 11*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(27\/(-162))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, y: 2, o: 7}. What is prob of sequence yty?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131729 and 12961?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 1018, 1264?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -37. Calculate the remainder when 111 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14356 (base 14) in base 7?\nAnswer: 265636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 1157560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*o - 433*o - 780 = -76 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r\/((r\/(r\/(r\/(r*r**0\/r))))\/r))))**32\/(r**0*r*(r\/r**(2\/3))\/r*r) assuming r is positive.\nAnswer: r**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2. Let j(m) = 9*m**2 - m + 1. Let z(y) = -j(y) - 2*r(y). What is z(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1130105510 + 3?\nAnswer: -1130105503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80520514.\nAnswer: 2, 1889, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 106*t - 1375. Calculate v(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -265 in 1\/114, 42, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*r - 2, 6 = 5*k + r - 4. Let y = 1 + -124. Let s = 126 + y. Solve 5*m = d + 3*m + s, 5*m + 6 = -k*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-249)\/3320)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1118 + -2881155?\nAnswer: -2880036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3 + 35*l**2 + 612*l.\nAnswer: 18*l + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000218 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 9:13 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16886364 and 3036.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = 3*l. What is the nearest to 1 in l, -3, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = -3*m + 111. Which is smaller: m or -226\/3?\nAnswer: -226\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 4, 3\/7, 633?\nAnswer: 633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/126 and 79\/60.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*v - 42. Let c = 26 + v. What is the greatest common factor of 117 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**6\/120 - k**5\/60 - k**4\/6 + 2*k**3\/3 + 26*k**2 - 63. Let g(y) be the second derivative of t(y). Factor g(v).\nAnswer: (v - 2)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 117*n - 3. Let s(y) = 14*y + 24. Let h(u) = 3*u + 6. Let o(p) = 4*h(p) - s(p). Calculate m(o(d)).\nAnswer: -234*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16790 divided by 99.\nAnswer: 16790\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 26 = -2*t - 8*i, 5*t + 19 = -i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5592625528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.11, -0.1, -5 in increasing order.\nAnswer: -5, -0.11, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -33, -96, -193, -330, -513, -748, -1041?\n\"Answer: -u**3 - 8*u**2 - 4*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-2)*(-4)\/(-6). Let c = j - 4. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -466*v**5 - 3241*v + 3211. Find the first derivative of f(z) wrt z.\nAnswer: -9320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let u(t) = -9*t. Let h(d) = 4*n(d) - u(d). Let f be h(1). Suppose 3 = -2*y + 11. Sort 0, y, f.\nAnswer: 0, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 = n + 6, 0 = -2*n + 10. Let k = x - 5. Solve -3*o = -5*o - k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -12. Let g be 5\/((-180)\/v) + 0. Put g, -0.2, -2\/7 in decreasing order.\nAnswer: -0.2, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m**3*t*w + 41*m**3 + 102*m**2*t*w - 2*t with respect to w.\nAnswer: -8*m**3*t + 102*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-1)*(-2)\/3. Suppose l*w + 2 = 6, 2*q + 3*w = 40. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/19 and 41\/5940.\nAnswer: 112860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k + 5*k - 2*k. Determine c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 + 1)*(4*r - 3*r + r - 3*r - 3*r + 5*r + 4*r - 5*r + 0*r + (-2 + 2 - 1)*(2*r + 2 - 2)).\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 261*o - 2361. Calculate d(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 43*m. Let b(c) = -170*c**2 + 88*c**2 + 83*c**2. Give a(b(u)).\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, -60, -141, -222, -303?\n\"Answer: -81*o + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -8, -u + 0*t = t + 32. Which is greater: -37 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2*2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 - 3*r + 1. Let i(p) = p**2. What is -f(u) + 6*i(u)?\nAnswer: -u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210350 to the power of 1\/2, to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/36 greater than 180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33214346.\nAnswer: 2, 11, 23, 41, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-770)\/(-1480) + (-3)\/(-24)*-2. Is n at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(171))**2*6 - (sqrt(171) - (sqrt(171) - ((sqrt(171) - -1*sqrt(171)) + -4)**2)) - (0 + sqrt(171)*-2*6 + -1)) + 5.\nAnswer: 386 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1 + 2*z - 5 - 3. Let r(o) = 2*o - 1. Let u be r(4). Is m(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827.436ml in litres?\nAnswer: 4.827436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) 0.3 (c) -0.1 (d) 4327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/19 + 64*o**2\/19 + 280*o\/19 + 288\/19.\nAnswer: -2*(o - 36)*(o + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120.1 - -114. Let u = m - -6. Is -2\/7 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**4 + 50*j**3 - 76*j**2 + 2*j + 2. Let b(q) = -2*q**4 + 2*q**3 + q + 1. Let t(i) = -2*b(i) + d(i). What is the third derivative of t(y) wrt y?\nAnswer: -24*y + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2890*p**2 + 3221*p**2 + 1418*p**2 to w*p + c + l*p**2 and give l.\nAnswer: 7529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -39\/14 (c) 7\/5 (d) 2\/5 (e) -3 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233.02 - 233. Let k = 48\/65 - 20\/13. Let h = -1.3 - -3.3. What is the closest to 0 in h, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -944*x - 3 - 1 + 8 - 1 + 945*x. Let p(f) = 9 - 1 + 0*f + 2*f. Calculate -3*p(u) + 8*s(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 15. Let v be a(-14). Calculate the highest common divisor of v and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -253, -986, -2209, -3922, -6125?\n\"Answer: -245*s**2 + 2*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 40885020*c - 40885015.\nAnswer: -5*(c - 8177003)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 11:27 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmjmmgiijmtjgtigmmgi. Give prob of picking 1 t and 3 g.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368810974 to the nearest integer?\nAnswer: 19204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 18*o)*(6*o - 5*o - 3*o) + (-2*o + 4*o + 0*o)*(2 + 2*o - 2) - o**2 + 0*o**2 - o**2 in the form b + c*o**2 + g*o and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u - 2. Let d be g(2). Let r be 85\/100 - (-4)\/d. Let t = -5 - -10. Which is the biggest value? (a) t (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, h: 6, z: 4, b: 3}. Give prob of picking 1 b and 1 h.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 5*x - 1080. Calculate d(46).\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20132394665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 10\/(-6))\/((-12)\/(-41508)). Let y = x + 11350. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/3)\/(8\/(-12)). Suppose -3*p + 4*p = -h*z - 104003, -3*z = p + 78003. Round z to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5085)\/3051 + ((-44)\/12 - (1 - 3)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in -4, -47, -2\/5, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000101000000111 (base 2) to base 3.\nAnswer: 111110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 75 = -t, -19*t - l = -18*t - 72. Calculate the remainder when t is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26996 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4535 take away -2293095?\nAnswer: 2293096.4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + (7 - 7 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 2*d**2 + 1\/5*d**5 + 0*d - 1\/120*d**6 + 3\/4*d**4 + 0 - d**3. Is f(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1383496*x**3 + 935578 with respect to x.\nAnswer: 4150488*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 - 2*v**2 + v**2 - 3*v**2. Let n(a) = 1 + 3*a - 4*a - 1. Give n(y(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6895734 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020991 is divided by 3942.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 2\/(-1) + -5. Let u = -29.8 + 18. Let p = 12 + u. Sort 4, k, p in ascending order.\nAnswer: k, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 186, 184, 182, 180, 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, p: 6, c: 2, z: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.11 or -1.9?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**8\/1008 - 4*a**2 - 8. Let o(g) be the second derivative of k(g). Factor o(d).\nAnswer: -d**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and -3187377.\nAnswer: 254990160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = 0, -3*n - 2*s = -0*n - 14. What is the remainder when 41 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 17926*c**2 + 17935*c**2 + 2*c**3 + 4*c + 12*c**4 - 3*c as n*c**4 + f*c**2 + k*c**3 + u + p*c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.485947 years in millennia?\nAnswer: 0.001485947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i - 1 = 40*i. Suppose -j + i = 2*k, -5*k = 3*j - 6 - 1. Solve 4*r = 12, 0*r + 3*r = -p + j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*f, -121*f + 123*f - 14 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -57*y + 58*y. Sort -1, y, 54 in descending order.\nAnswer: 54, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.8 - 13.8. Suppose -4 = -4*d, -12 = -4*w - 3*d + 27. What is the second biggest value in -2\/5, 2, j, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7094 or -517782\/73?\nAnswer: -7094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*x**2 - 18*x**2 + 1 + 4 - 33 wrt x.\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 614?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 7*x + 15. Suppose -2*i + 6*i - 2*g - 10 = 0, 2*g - 15 = -i. Let s be b(i). Solve -3 = s*l - 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y = -21*y - 9*y + 1620 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 + -3 + (-25 - (1 - 25))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248 * -0.06.\nAnswer: 14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(5 - 4 + 1)*(-2*f + 0 + 0)*(-13*f + 0*f**4 + 10*f - 3*f**4).\nAnswer: -12*f**5 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 154, 114, 56, -20?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(143) + 3*sqrt(143) + sqrt(143) - sqrt(143)) + sqrt(143) - sqrt(143))*1)\/(-3*sqrt(11)*1 - (-1*sqrt(539) + sqrt(539))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86179 is divided by 324?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1606 and 0.006011?\nAnswer: 9.653666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -45495670 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-13)*x**3*x)\/(x*x**(-1)\/x)**(1\/27) assuming x is positive.\nAnswer: x**(487\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 529. Suppose -3*p - 4957 - 6056 = 0. Let x = p + r. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 + 31*u**2 - u - 238?\nAnswer: -6*u + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**3\/3 + 2*d. Let g(a) be the second derivative of -7*a**3\/6 - 4272*a. Give p(g(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1342 and 123409649?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 11 - 13*z + 0. Let c(j) be the second derivative of j**3\/3 - 2*j + 22374. Determine c(k(q)).\nAnswer: -28*q + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmqmqqmmq. Give prob of sequence qqqq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -22. Suppose -v*d + 5*d + 1 = 0. Let b be 16*d*27\/(-12). What is the highest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4666.\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4 - 907717*r**3 + 453858*r**2 = 0.\nAnswer: 0, 1\/2, 453858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1909554 divided by 5?\nAnswer: -1909554\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + 9*z**2 - 21*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -5 - ((27 - 9) + 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121691 rounded to the nearest one thousand?\nAnswer: -122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**5\/2 + 6243*t**4\/2 - 1622397*t**3 - 1628643*t**2 + 3244797*t\/2 + 3251043\/2 = 0.\nAnswer: -1, 1, 1041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10184650, 20369301, 30553952, 40738603?\nAnswer: 50923254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2 + m + 3. Suppose 16 = 5*w - 2*s, 2*s = -3*w + 23 - 7. Let g be 2 - w - (5 + -8). Suppose 4*b - 13 = -g. What is d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1460, 2982, 4266, 5192, 5640, 5490, 4622, 2916?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6954 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42914, -171674, -386284, -686750, -1073078, -1545274, -2103344, -2747294?\nAnswer: -3477130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -7*q**2 + q - 12. Calculate g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**6\/50 - 39*c**5\/100 + 4*c**4\/5 + 96*c**3\/5 + 2370*c. Find g such that b(g) = 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11473 = -2*o - 5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.1 - 1.1. Suppose -3*p + 22 - 10 = 0, 5 = -5*t - 5*p. Which is the second biggest value? (a) -0.2 (b) t (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -32. Are 46 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125523, -125525, -125527?\n\"Answer: -2*y - 125521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1368 - -1369. Is x bigger than 2\/5297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + m - 3 = -21, m - 38 = -5*x. Let g be (-2)\/x*(-132)\/3. Solve 4*f - 4*c = -8, -5*c - g = 2*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9615219.\nAnswer: 3, 23, 331, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**4\/5 + 4*o**3\/5 + 24*o**2\/5 - 16*o\/5 - 32\/5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 8*t + 2. Let p be z(8). Suppose 2*y - y = p. Let i be (-6 - -3)*(1 - y). What is the biggest value in 2, 1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343 + -339. Solve 5*b - j = -34 + 5, -q = -j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b**4 - 195*b**3 + b**2 + 17961*b + 1?\nAnswer: 228*b**2 - 1170*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028624140 < 1028624139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13745520 or -13745521?\nAnswer: -13745521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -2\/11 (c) -2035824\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1150 + 1238. What is the greatest common divisor of 297 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183012043 and 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -854226.9479993 + 854227. Let t = x + -0.052. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + i - i + 0*i. Let y(b) be the first derivative of -b**5\/60 + b**3\/3 - 2. Let v(a) be the third derivative of y(a). What is q(v(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6224892, -12449784, -18674676, -24899568, -31124460, -37349352?\n\"Answer: -6224892*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897182 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 22. Let c = 14 + -10. Put 1, y, c in increasing order.\nAnswer: y, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275995234?\nAnswer: 2, 137997617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81 - -2591186?\nAnswer: 2591105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3 - -2) + 71. Let i = -34 + x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-42) - -2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 12*x - 42. Let s be m(-6). Let a(u) = -u**2 - 5*u + 12. Determine a(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:39 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) -1\/7 (c) 0 (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*o + 28*o - 18*o + (-2 + 1 + 3)*(-5*o + 2*o + 4*o))*(1 + 0 - 3)*(-o + 1 - 1).\nAnswer: 82*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q - 38. What is n(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/82, -3\/5, 1, 0.3, 2\/151?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**3\/7 - 186493*m**2\/7 + 1616463*m\/7 - 310865 = 0.\nAnswer: -62173, 5\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*k - 165*k + 18 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 35*i - 735 = 0. What is the second derivative of -i*f + 159*f - 21*f - 147*f**2 - 36*f wrt f?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-18)*(-3)\/(-5). Let y = -0.6 + 1. Let w be 3\/9*(-7 - -4). Put s, w, y in ascending order.\nAnswer: w, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = -20. Let a(p) = 2*p**2 + p**2 - 2*p**2 + 3*p + 5. List the prime factors of a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6*3\/(-2). Suppose 5*y - 3*b - 1007 = -b, y = g*b + 195. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = 0. Suppose 4*v + v = o. Is v >= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = -5*g - 5, 22 = 5*i - 2*g. Suppose -r + i = -2*r. Let m = r - -11. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192434 divided by -31.\nAnswer: -192434\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3021 (base 4) to base 6\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vyyppypyyppypvyp.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 less than -5017?\nAnswer: -5016.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/535, 221\/7, -4 in decreasing order.\nAnswer: 221\/7, -6\/535, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/49)\/((-40)\/(-28)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 18 = -6*k + 2*k, 2*k + 10 = -3*m. Let g = -319 + 319. Sort k, g, -5 in ascending order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - 28*q - 5. Let n be a(-9). Let z(g) = -85*g + 3. Let w(x) = -83*x + 4. Let t(h) = n*z(h) - 3*w(h). Let i(p) = -3*p**2. Determine i(t(k)).\nAnswer: -24843*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-48) + (55\/(-200) - 0). Is 78\/25 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30181628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5140*h - 500*h - 205185 = 1089*h + 151452 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 72?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 298 and 336854879?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-25410)\/(-462)*(-8)\/20\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48177675 divided by -3?\nAnswer: -16059225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4\/11*p**3 - 2\/11 - 2\/11*p - 2\/11*p**5 + 4\/11*p**2 - 2\/11*p**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10826?\nAnswer: 2, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-2*d + 5*d - 2*d) + 184*d + 294*d - 28*d.\nAnswer: 452*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2603, 2593, 2583, 2573?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0.4, -5, -7.588?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1275\/21 + -2 - -1. Let s = q - 60. Put s, 1\/7, 2 in ascending order.\nAnswer: s, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52253, 53154, 54657, 56762?\nAnswer: 59469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4464, 3242, 2020, 798?\n\"Answer: -1222*n + 5686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2, 13, 0.19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 1595 = 9*q. Suppose -6*w + w = -q. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1369 at least 1719.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + c**2 + 5 + 2 + 5*c**2 + 0*c**2 - 2*c**2 - 2*c**2 + 15*c**2 + 18*c**2 + (-c + c - c)*(-2*c + 5*c - c) + 2*c**2 - 6*c**2 + 7*c**2.\nAnswer: 34*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h**2 + 5*h - 5. Let s(c) = 60*c**2 + 24*c - 24. Suppose 3*n = -36*a + 40*a - 29, 3*n - 11 = -4*a. Give a*s(m) - 24*i(m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7138 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) 0.1 (c) 0.4 (d) 0 (e) -2\/9 (f) 30.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 11. Let x be i(-10). Let r be (-52)\/(-14) - 6\/x. Suppose -v = -r*v + 153. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3232 - 54962\/17. Let k = -130\/187 - u. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 13 = -2*f. Suppose 3*l + 3 = b, -9 = -2*b - f*l + 5. Solve -10 = u + 4*z, -4*z = -0*u - u + b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**7\/5040 - l**6\/288 - 11*l**4\/24 - 8*l**2. Let z(g) be the second derivative of o(g). Find j such that z(j) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*c + 63, -4*z - 16*c = -17*c - 43. Solve -9*l + 3*l - z = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05650291 to four decimal places.\nAnswer: 0.0565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-32)*y**19)\/(y**18*y*y**(-33)*y*y) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 7*f - 4. Calculate the smallest common multiple of 2 and j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -140531452?\nAnswer: -140531445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) + 923\/(-781).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7.5. Let c = r - -0.7. Let v be ((-1)\/(-4))\/((-3)\/(-4)). Which is bigger: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1898?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -70. Suppose s - j = 32, s + 3*j - 1 - 27 = a. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -3\/4 in descending order.\nAnswer: 0.5, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i - 34. What is the hundreds digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fye when three letters picked without replacement from {a: 5, e: 4, q: 1, y: 3, f: 1, g: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(320) - (-1 + sqrt(320) + 0))**2 + sqrt(320))*2.\nAnswer: -4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-4) + 1*(-3)\/(-2). Is g at most as big as 9\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11190 + -44757\/4. Which is the fifth smallest value? (a) 0.2 (b) -0.2 (c) 0.5 (d) t (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 1 (b) -9\/7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(245) - (1*sqrt(80))**2)*4*-6.\nAnswer: -9600 - 840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3095576, -12382240, -27860018, -49528916, -77388940, -111440096?\nAnswer: -151682390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341575 divided by -5.\nAnswer: 68315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-17)*n)\/n**(2\/5)*(n*n**5)**(-19) assuming n is positive.\nAnswer: n**(-472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -c + v + 128, 0 = -5*c + 3*v + 640. Let u = 187 - -152. Let y = u - c. Is 44 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jww when three letters picked without replacement from {w: 3, j: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5828 by -188.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.7 + 18. What is the nearest to -0.1 in -5, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/5 (b) 5 (c) 2\/5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -26ccbe?\nAnswer: 26ccc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1100001001 (base 2) to base 3\nAnswer: -1001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 21 = -461. Let g = -52 + c. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -4 - sqrt(2057) - sqrt(68)\/sqrt(4)*2)**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 627437831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - s = 10 - 3, -3*r - 3*s + 15 = 0. Suppose -c = r*c - 275. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 25*q + 3. Suppose -2*n - g + 4 = 0, -n + 0*n + 4*g = -20. Suppose -n*k = -a + 9, -4*k - 4*a + 2 = 6. Give w(k).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -3*f**4\/4 - 20*f**3 + 129*f**2\/2 - 66*f - 45. Factor k(r).\nAnswer: -3*(r - 1)**2*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:58 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 62724 (base 8) to base 7\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - v + v)*((0 + 1 - 3)*(0 - 6 + 3) + 3 - 2 - 2 - 2 + 2 - 3).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*h + 0*h = -3608, -a = 3*h - 725. Is a a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + sqrt(2057) + 0)**2 + (sqrt(136) - 2*(sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136)*-2 + sqrt(136) - sqrt(136)))\/((2*sqrt(64))\/sqrt(8)).\nAnswer: -45*sqrt(17)\/2 + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1767*n**3 + 1322*n**2 - 131970*n - 4?\nAnswer: -10602*n + 2644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6759947 to the nearest integer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -10*s - 39 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/4 - (-2)\/4. Let i(o) = -o**3 + 3*o**2 - 2*o - 2. Let f be i(3). Let q(p) = -3*p - 6*p + 6*p. Let a(m) = -5*m. Determine f*q(c) + x*a(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + c - 4*c)*((0 + 0 + 1)*(1 - 2 + 2) + 3 + 7 - 1) to the form b*c + p and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2924 - -132.7076. Which is smaller: x or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.52 + -5.52. Which is the smallest value? (a) 5 (b) t (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-120)\/(-28) - (-4)\/(-14) - 2. What is the first derivative of 17 + 4*y + 4*y**m - 43 - y**2 + 3*y wrt y?\nAnswer: 6*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 176 = -27*w. What is the smallest common multiple of w and 4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -437481*v + 7. Let x(c) = c**2. Calculate t(x(q)).\nAnswer: -437481*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448446?\nAnswer: 2, 7, 11, 13, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2 - 2 - -210. Suppose 0 = 4*j - 68 - g. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(60) - (sqrt(180) - sqrt(180)*1)\/sqrt(3) - sqrt(60)) + (-2*sqrt(240) + sqrt(240) + sqrt(240))\/sqrt(4))\/(sqrt(1200)*1*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.23 + -0.23. Let d = w - 8.7. Suppose 2*f = -0*f. What is the nearest to 1\/2 in d, f, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -9*t + 8*t. Let q be (-14)\/t*12\/28. What is the second derivative of 3*b - b + b**q + 0*b**3 + 0*b**3 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 5. Let k = -1.7 - 0.3. Let y = -2 - k. Which is the smallest value? (a) y (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 34\/227 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6122 is divided by 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**4 - 2619*z**3 + 5223*z**2 + 2619*z - 5226 = 0.\nAnswer: -1, 1, 2, 871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.078 - -3.448. Let d = x + -0.27. Let a = d + 15.8. What is a rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117737191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/3 - 294*z + 2673 = 0.\nAnswer: -891, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6810*j = -113303 - 186337 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 155*o - 103*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.49 (b) -0.02 (c) 406 (d) 3\/5 (e) -1\/9 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*i - 5*i - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 8 = -5*v. Let n = 112 + -188. Let s = -530\/7 - n. What is the third biggest value in s, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 - 0.53. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 59*h + 37. What is the tens digit of f(62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from wwjj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*r - 14 - 8, 2*v - 20 = 4*r. Let w be (-20)\/r + 64\/(-48). Suppose 0 = -m - 4*g + 291, 198 = -w*m - 3*g + 765. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5018? (a) -1 (b) 3\/2 (c) 0.2 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 5*d - 2. Let r be q(-4). What is the third derivative of -2*m**r + 3*m**2 - 3*m**3 + 0*m**3 - 5*m**2 wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3506.488mg?\nAnswer: 0.000003506488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 509095496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6.3. Put q, -0.3, 2 in descending order.\nAnswer: 2, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 11:42 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = d + 1, -2*g - 2*g - 4*d - 4 = 0. Solve g*x - 10 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 4?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 65*y**2 + 25. Let z be 2\/(-9) - (-696)\/216. Let g(r) = 8*r**2 + 3. What is z*l(b) - 25*g(b)?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1335*j**2 + 17301*j - 702.\nAnswer: 3*(j + 13)*(445*j - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -151160.8 and -0.4.\nAnswer: -151161.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*13\/(546\/(-840))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 2.6. Let g = 19.278 - 20.96. Let k = f - g. Round k to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8985454259 to the power of 1\/2, to the nearest integer?\nAnswer: 94792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1712*n - 882*n = 869*n - 1677 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s - 51. Let q be w(8). Suppose 9*k - 13*k = -3*n + 10007, -q*n + 16689 = -4*k. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -90428, 0 in descending order.\nAnswer: 0, -1, -90428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d - 2*d)*((-4 - 3 + 5)*(-3 - 3 - 1) - 1 + 5 - 3).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210500 (base 6) in base 2?\nAnswer: 11010111100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (20 - (7 - -21))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*l - 105 = 15 + 90 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {r: 3, u: 1, i: 2, w: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5858 take away -5?\nAnswer: 5863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7 + 11 - 5 - o + 1. Let n be z(9). Suppose -4*x + 3*x + 23 = 5*i, n*i - 8 = 4*x. Solve i*f - 2 = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(((h*h*h*h**(-7\/4)*h)\/h)\/h)*h*h)\/h)\/h**(-42))\/(h*h**(2\/15))**(-20\/3))**4 assuming h is positive.\nAnswer: h**(1847\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -3 + 1 + 3 + 3 + -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/16512 and -29\/5664.\nAnswer: 974208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/9 or 1\/5?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b*f**2*v + 1582*b*f**2*w**2 + 2*b*v*w + f*v*w + 7*v*w**2 - 35*w - 5 wrt w.\nAnswer: 3164*b*f**2 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + c**2 + 10 - 3*c + c - 3. Let v be o(5). Let y = -12 + v. Put 3, y, -4 in decreasing order.\nAnswer: 3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = v + 3*q - 340, 4*v = -2*q + 1370. List the prime factors of v.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-3))\/(390\/(-117)))\/((-4)\/130)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - 3*u - u**3 - 2*u**2 + 2 + 5*u + 2. Let n be i(0). List the prime factors of 558\/12 - 6\/n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2 + 12 + o - 15*o - 5. Let q(x) = 21*x - 7. Let p(g) = -g**2 - 42*g + 93. Let b be p(-44). Give b*q(w) + 7*s(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 21. Let i be v(0). Suppose 5*y - i = -q + 43, 5*y = 4*q + 44. Calculate the greatest common divisor of y and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-8))\/(-3*(-2)\/36). Suppose -7*d = m*d - 60. What is the least common multiple of d and 146?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*t**3 - 332*n*t**2 - 284*n*t + t**5 + 289*t**4 + 82*t**3 wrt t?\nAnswer: 12*n + 60*t**2 + 6936*t + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130\/47 + -710237\/256761. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*v = -6 + 20, -3*r = 3*v + 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 1. Let j = 27724 + -27707. Solve -j*b + a = -19*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.328 - 0.362. Let s = t + -19.71. Let k = -21.40000596 - s. What is k rounded to 7 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 1\/12*z**4 + 3*z**2 + 0 - 3*z - z**3. What is the units digit of r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 13. Let f be (-1 + -1 - m)*-1. Solve 15 = 2*s - f*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 63. Suppose -y = d*t + 8, 10 = -2*y - 2*t + 2. Let i be y\/(-6)*7\/(7\/8). Let v(f) = f**3 - 4*f**2 - 2*f + 3. What is v(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - -5) + 7 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 61356.\nAnswer: -7\/20452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/(3\/21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31067 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1, 3 in ascending order.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -50, 5, 0 in decreasing order.\nAnswer: 6, 5, 0, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*f - 5*w, -f + 5*f + 2*w - 148 = 0. What is the smallest common multiple of 6 and f?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -1 (b) -3\/2 (c) 0.4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 385\/(-1617)*12\/25*(-105)\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -2*u**3\/3 + 21. Let a(c) = 12*c. Give h(a(r)).\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + (-260)\/(-12). Let g be 39*(i\/(-9) + 3). Suppose -7*z - 5 = -g. Solve -15 = 4*u - 3, -z*p - 2*u = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.2626 * 1.4\nAnswer: -11.56764","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 2382793104\/2075 + -1148334. What is the common denominator of 8\/5 and n?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -60*c - 585. Let m(b) = -30*b - 266. Let v(r) = -9*m(r) + 4*n(r). What is v(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = s - 0*s. Let f = s - 19. Let w(a) = -4*a - 5. Let c be w(f). Round c to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (158 - 162) + (-5 - (-10 + 4))*0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -r + 1, 5*w - 8 = 3*r - 3. Let o(l) = w - 2*l - 4 + 10. Let m(a) = 4*a. Let h(v) = 2*v. Let q(z) = 13*h(z) - 6*m(z). Determine o(q(j)).\nAnswer: -4*j + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 24*k - 341. What is the remainder when y(20) is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 181688036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:28 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2384 and 30694?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**2 - o - 1. Let a = 4 + -8. Let i be (-12)\/7 - a\/(-14). Let v(g) = g. Calculate i*x(u) - 5*v(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 4*x - 3. Let d be c(9). Suppose -b = b - d. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r - 4*r - r + r - 11*r - 16*r + (0 + 0 - 1)*(-r + 2 - 2).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*1*sqrt(7) - (sqrt(112) + 3)**2).\nAnswer: -126 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d - 14267 = -60*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 3, h: 5, j: 2, t: 5, y: 4}. Give prob of picking 1 j, 1 y, and 1 b.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.49 (b) 0 (c) 19 (d) -106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -233\/9 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4 - 4)*(-25*d**2 + 4*d**2 + 2*d**2) + (2*d**2 + 4*d**2 - d**2)*(5*d + 4*d - 3*d).\nAnswer: 68*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103137*j + 47477 wrt j?\nAnswer: 103137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48592717*i*r**3 + 33*i*r**2 + 32176*i wrt r?\nAnswer: -291556302*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(560))*-4 - sqrt(70)\/(sqrt(2)*-2))\/(sqrt(7) + sqrt(343)*1 + (sqrt(7)*-2*5 - sqrt(7)) + sqrt(7)).\nAnswer: 39*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -33, 4, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8) - 18\/4) + 117\/27?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53107659?\nAnswer: 3, 11, 536441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f + 4*f - 168 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 5. Let u(p) = 3*p**2 + 5*p + 4. What are the prime factors of u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -61, -145, -273, -451, -685, -981, -1345?\nAnswer: -1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 - -10111101001100?\nAnswer: 10111110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69732 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 0, 4, -4 in decreasing order.\nAnswer: 4, 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 18. Suppose 0*u - v = -u, 5*u = 4*v + t. Solve 6 = r + u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.4 * -2.\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 50?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from txlxlxt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710124884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6) + -1 + (-4 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*q + 39, k = -3*q + 16 + 3. Suppose 3*x - 4 = q. Let o = -33 + 48. Solve 0 = x*n + 1 + o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 271. Let k(s) = -2*s. Calculate c(k(x)).\nAnswer: 10*x - 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**0)\/h*h)\/h)\/h*h**(6\/5)*h**(1\/3)*h*h\/(h\/h**(-4)) assuming h is positive.\nAnswer: h**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 17. Let u be z(-15). Suppose 3*h - u*q = 0, 6 = -q + 3. Which is greater: h or -16\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 6*c**2 + 11*c - 10. Let k(u) = u**3 - 4*u**2 + 6*u - 2. Let o be k(3). Determine v(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -65*k**2 - k - 1. Let y be c(-1). Let r = y + 92. Let q be ((-10)\/(-15))\/(2\/r). Solve -3*a - 3*v = -8*v + 17, -3*a = 3*v + q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 15. Suppose -4 = -2*q + 5*u, -3*u = -2*u. Suppose 24 = d + q*d. Calculate the remainder when z is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m + 4*y, y = -2*m + 89 - 77. Sort m, -2, -5, 78 in ascending order.\nAnswer: -5, -2, m, 78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(5 + -2 + sqrt(1700) + sqrt(1700) - 4*sqrt(1700)*1)**2*2*-2.\nAnswer: -163416 + 2880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15372, -14505, -13638, -12771, -11904, -11037?\nAnswer: -10170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 50)*(-1)\/2. Let h = -40 + j. Let r = -7 - h. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 18*q - 438. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 8*a**2 + 8*a - 7. Let j be o(5). Let u = j - -72. What is the greatest common divisor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0, -14, 1.9, -2, 1\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 8 + 0 - 23\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (32 - 9)) + 0 + -3 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (384\/(-84))\/(228\/42 + -7). Which is the smallest value? (a) 1\/12 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.019 + 0.281. Let d = 0.2 - 0. What is the nearest to m in -0.2, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 7*f + 152, 68*f = -3*o + 71*f + 48 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let v be j(-4). Let u(t) = 2*t**2 + 85*t - 328. Let i be u(4). What is the greatest common factor of v and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/6*18\/(-2076). Suppose 8 = -4*n - 4*h, 5*n - 2 = -4*h - 9. Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 0*s - 2*s + (-2 + 6 - 2)*(-6*s + s + 3*s) - 6*s - 2*s + 4*s as m + g*s and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2385113\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1090 less than or equal to -1090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 - 2*t + 2*t)*(1 - 2*t - 1)*(-2002 - 16*t - 2007 + 3989).\nAnswer: -128*t**5 - 160*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -4, 3, 0, -3\/5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(2823*p**2 + 13915*p**2 - 7913*p**2).\nAnswer: 8825*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1258 and 683686?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18467 is divided by 953?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -26?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142443 is divided by 371?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*1 + sqrt(65) + sqrt(65) - sqrt(65))*-2)\/(sqrt(10)\/sqrt(2)*2).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 648\/4*(10\/(-3))\/(-10). Suppose -4 = t*d - 55*d. Solve 5*x - f = -6*f - 10, -2*x + d*f - 10 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + 1.4. What is the nearest to 1\/3 in -0.4, m, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y - 5*f, -y + 6 = 27*f - 22*f. Solve y*o - 16 = 14*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -239*x + 234*x + 172, 0 = -z - 8. Suppose h = 43 + 23. Let d = -45 + h. What is the greatest common factor of d and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6137027 is divided by 278953.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from 247.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28\/9, -0.1, -5?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*d - 41*d + 116*d - 17*d)*(-d + 2*d - 2*d).\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = 9*m + 578*h - 583*h, -2*m + 6*h = 44 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 10. Let j be h(-8). Suppose w + 7 = -j*b, 2*w + 10*b = 5*b - 19. Find the third derivative of d**w + 3*d**2 + 0*d**3 - d**2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-5))\/((-45)\/((-1890)\/(-12))))\/(2\/4)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/3 - 5356*z**4\/3 - 3569744*z**3\/3 + 21547168*z**2\/3 - 43180192*z\/3 + 28815424\/3 = 0. What is z?\nAnswer: -1342, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/7)\/r**(3\/19)*(r\/r**(-2\/71))\/(r*(r**(3\/2)\/r)\/r*r) assuming r is positive.\nAnswer: r**(1597\/18886)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 60. Let h(q) = 12*q**2. Give h(v(p)).\nAnswer: 48*p**4 + 2880*p**2 + 43200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m - 7. Let o(f) = 5*f - 3. Let d(u) = 7*o(u) - 3*t(u). Let j(r) = 2*r**3 + 22*r. Give 88*d(y) + 4*j(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -987678*o**3 + 2*o**2 + 4003793.\nAnswer: -2963034*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l + p - 2 = 0, 0 = l - 3*p - 7. Suppose 0 = -5*u + 26 - l. Suppose -4*n + 10 = -u*z, 10 = 3*z + 3*n - 11. Sort -0.3, 1\/5, z in decreasing order.\nAnswer: z, 1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 5}. What is prob of sequence hhsh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n - y - 11, -3*n + 2*y + 19 = 0. Let v be -2 - (n - (-1 + 1)). Is -5 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10 = -8*r, -2 = -u - r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, u: 12}. What is prob of sequence ruu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 89. Suppose -5*l = b - 166. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 75 + 6. Let x(m) = 59*m + 13. Is x(z) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*m**2*q**3*s - h*m*q*s - 2*h*s - m**2*q**3 - 4*m**2*q*s - 3*q**3 - q**2 wrt h.\nAnswer: -2*m**2*q**3*s - m*q*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 252*h**3 - h. Let c(a) = -252*a**3 + a. Calculate -4*c(k) - 3*u(k).\nAnswer: 252*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 698*h**2 - 56368*h + 1324960 = 0. What is h?\nAnswer: 52, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 - -14 - (-6 - (11 - (-28 + -10)))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*o + 302*o - 1214*o + 302*o + 297*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 z when three letters picked without replacement from {w: 2, z: 1, t: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (58\/10)\/(5\/25). Suppose 0 = 4*y + r - 101. Suppose 2*c + 2 - y = 0. What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1257, 4943, 11075, 19653, 30677, 44147?\n\"Answer: 1223*v**2 + 17*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 263, 265, 267, 269, 271, 273?\n\"Answer: 2*y + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18\/361 - 26931\/2888. Find the common denominator of -31\/2 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by 5.\nAnswer: 247\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -114 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Suppose -3 + 1 = -2*w, -z*h = 3*w - 18. Let m(x) = h*x**2 - 4*x**2 + 3*x**2 + 0*x**2. Let p(t) = -3*t. Determine m(p(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Suppose -u + 6 = z. Suppose y + 108 + 97 = 3*a, -8 = -z*y. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*j - 28 = 0, -35 = 3*s + 5*j - 12. Let g be ((-52)\/s - 3)*-2. Put g, 2\/7, -0.2 in descending order.\nAnswer: 2\/7, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 6*a + 18 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -37, -53, -71?\n\"Answer: -o**2 - 11*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*z - 19, 0 = 2*z - 3 + 1. Let m be 3*((-26)\/(-6) + d). Let i(p) = 2*p - 3. Determine i(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 4*j + 1. Let z(g) = 598*g**2 + 4*g + 1. Calculate v(f) - z(f).\nAnswer: -597*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -0.022660514?\nAnswer: 1.022660514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 22 - (-65 - -96) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 63. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 5*r**3\/3 - 3455. Let m(c) = 1506*c**2. Calculate m(x(f)).\nAnswer: 37650*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -165, -13, 93, 129, 71, -105, -423?\n\"Answer: -4*i**3 + i**2 + 177*i - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 5, -14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 15) in base 10?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o**2 - 36*o - 217*o**2 + 110*o**2 + 162 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*i + 5*q, -2*i - 2*i = -5*q - 17. Suppose c = i*c - 42. Suppose c = -x + 4*x. Let s(n) = -5*n - 1. Determine s(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -36 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 - 12*y - 9. Let h be b(5). Solve -h = -3*k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-14) + 210\/98. Calculate the greatest common divisor of b and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3842 and 0.023.\nAnswer: -1.3612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)*r*r\/(r*(r**(-14)*r)\/r))\/(r*r**(-6)*r*r**(1\/6)) assuming r is positive.\nAnswer: r**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t. Suppose 0 = g - 3*g - 4. Let v(x) = x. Let m(b) = g*y(b) - 30*v(b). Let c(w) = 2*w**2. Calculate m(c(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -24*a. Let g(i) = 25*i**2. Determine g(p(v)).\nAnswer: 14400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6440018?\nAnswer: 2, 13, 247693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.1 - 97. Let h = -1.1 + i. What is the closest to 0.1 in h, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 7\/3*u**3 - 4*u + 0*u**2 + 1. Let r(o) = -8*o**2 + 5. Let y(s) = -6*k(s) - 5*r(s). Differentiate y(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -191 + 11. Let i be 0 - (-7)\/((-35)\/z). Solve -i*w + 9*w - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -6. Suppose -h*z + 9 = -12. Put -4, -1, z in descending order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + 1 + -2*sqrt(11))*5)**2 + 3 + 1*(sqrt(22)\/(sqrt(2) + 1*sqrt(2)) - sqrt(11)).\nAnswer: -sqrt(11)\/2 + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.22 + 30.24. Sort 5, 2\/3, m, 0.1, 3.\nAnswer: m, 0.1, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.44*-76876.\nAnswer: -33825.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:36 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038042 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 11\/5*q**5 + 1\/3*q**3 - 5 - 2\/3*q**6 + 1\/2*q**2 - 9\/4*q**4 + 0*q. Find p such that j(p) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1297 - -32993?\nAnswer: 31696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1499*r**2 - 185*r**3 - 160*r**3 + 1497*r**2 - 52*r + 57*r as i*r**3 + q*r**2 + u*r + k and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -2. Let f = 12972\/5 - 2583. Find the common denominator of y and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/171)\/((-3)\/(-9)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 m when four letters picked without replacement from {j: 1, o: 6, m: 12}.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000496146995 to six dps.\nAnswer: 0.000496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26256 and 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -0.994170029.\nAnswer: 0.594170029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(234) - sqrt(26)) + (sqrt(26) - (sqrt(104)*1)\/sqrt(4) - sqrt(26) - sqrt(26)))\/(sqrt(192)\/(5*sqrt(24))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.5, -1.183, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -64638 divided by 243\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/330 - x**4\/22 - 7*x**3\/33 - 25*x**2. Let t(p) = 0. What is p?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + 63 - 10) + -26 + 76\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102111000 + 12?\nAnswer: -102110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:41 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -32 + (-2 - (5 + -22)) + -38\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 7, -4, -5, -6246\/11, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1900*u - 1916*u + 55 - 55 + 3860*u.\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -2, -4 in decreasing order.\nAnswer: 127, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 7*p**4 + 2*p**2 + 2344333*p + 2*p**3 + 33 - 2344335*p in the form m*p**4 + g*p**2 + h + u*p + t*p**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 35*i**2 - 18*i - 21. Let b be a(-17). Let x be ((-3)\/22)\/(6\/(-8)). Is x smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*m + 2 = 0. Let y = -8 + -4. Let s = -9 - y. What is the third smallest value in -3, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - w + 293 + 281 = 0, 3*q + 5*w = 566. Is 6 a factor of (7 - 6 - 1) + (q - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 2*w**2 + 2*w - 1. Let x be f(2). Let l be (-20)\/(-4) + -3 + -2. Factor l*z + 4\/7*z**2 - 2\/7*z**x + 0.\nAnswer: -2*z**2*(z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 < -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -132 (b) -1 (c) -0.1 (d) 3 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 - 2211*o**2 + 2202*o + 4416 = 0. Calculate o.\nAnswer: -1, 2, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48.8 + -49. Let k = -172 + 173. What is the third smallest value in -0.17, -1, k, g?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 559*c - 35110. Calculate y(57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 12. Let q = -5 - i. Solve 4*b - 1 = -q*f, 0*b - f = 2*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 - 5 = 0. Let r = -7 + k. Which is greater: r or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -551 + 550. What is the lowest common multiple of (x - (-25)\/10)*(0 + 152) and 3?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1192\/5 + -120377\/505. What is the common denominator of 12\/7 and l?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53c6 - 6a8?\nAnswer: 4a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h - 15 + 17*h + h**2 - 254 + h - 147.\nAnswer: h**2 - 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100505107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 164152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58.60265 and 11?\nAnswer: 644.62915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + 0*a**4 + 0*a**4 + (0*a**2 + a**5 + 0*a**2)*(-1 + 5 - 2) - a - 181 - 16*a**5 + 181.\nAnswer: -13*a**5 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 531619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/9 in 0.4, 0.04, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/216*-24)\/((-15)\/(-9)*(-104)\/20).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22 + 23 - 2*w**4 + 3*w**4 wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1544610.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 34\/9, -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = k + 390393, 4*b - k - 636621 = -116098. Let n(a) = -92129*a**2 + 2*a + 1. Let g be n(-1). Let w = b + g. What is w rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2249.\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*s = -69, -5*d = s - 330 + 327 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 5*w**2 + 5*w - 6. Let i be u(-5). Suppose -i = 2*r - 3*r. What are the prime factors of 2\/(-3) + r\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3978333750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31334, 31342, 31356, 31376, 31402?\n\"Answer: 3*x**2 - x + 31332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 + 2502 = -16*p. Find the common denominator of 4\/(-26) - 631\/39 and (16626\/p)\/(-17) + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v. Let c be -8 - -30 - (v + 1). Suppose -4*w + c = i + w, 31 = 3*i - w. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -372 or -388?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -522*k**2 - 40 + 4*k**3 - 5*k**3 + 613*k**2 + 42 + 3*k**3 as c*k**3 + z*k**2 + f + g*k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114780 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 18*x + 4*k = -0*k + 92, x + 12*k = 63 + 37 for x.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1933 + 1400.4. Let r = 533 + s. What is the nearest to 0.1 in 0.2, 1\/190, -4\/3, r?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27777721 is divided by 374?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = 2*o + 4*k, -k + 852 - 260 = -5*o. Let t = -11597 + o. Let i = t + 7215. Round i to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1661, 9889, 32233, 75749, 147493, 254521, 403889?\nAnswer: 602653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 5*c + 2*c + (77*c + 58*c - 108*c)*(2 + 0 - 3).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14753803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 206 = -5*m. Calculate the highest common divisor of 1552 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*x = 1756 + 629 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005695 is divided by 1949?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-374) - (-18)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(96))\/(-5*sqrt(8)))**2 - (sqrt(144)\/(sqrt(6)*1))\/(-2*sqrt(512) - sqrt(8)))*6*-6.\nAnswer: -432\/25 - 36*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146\/((-81760)\/(-50460)) - 90?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1143 and 1269619.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -433, -1219, -2523, -4339, -6661, -9483, -12799?\n\"Answer: k**3 - 265*k**2 + 2*k - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/333)\/((-14)\/7236). Let y = -90614\/17871 - l. Let k = y + -1\/69. Which is the smallest value? (a) -0.7 (b) k (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((18\/12 - -11) + -6)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -11*r**2 + 28*r + 128. What is the smallest common multiple of 22 and o(-3)?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1. Let t(y) = y - 9. Let s(n) = t(n) - 3*z(n). Let m be s(8). Suppose -4*x + x**2 + 4*x**2 + 0*x**2 - 7*x**m = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 9*a - 88. Let v be s(4). Solve 31*u - 34*u = -v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-5*3\/(45\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**2 - 10*g**2 - 29*g**2 - 16*g**2 + 69*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*b - 22*b - 2032685 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0652 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -57. Let g = -5.9 + 6. Let s = -0.2 - -0.2. Which is the second biggest value? (a) j (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44825409.4 to the nearest one hundred thousand.\nAnswer: 44800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 173*t - 1. Let b(n) = -n. What is -4*b(w) - p(w)?\nAnswer: -169*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/4 + n**3\/2 - 14*n**2. Give g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-7) + (-31)\/(-7). Let v(y) = y - 6 + i + 2. Let p(q) = q**2. Give v(p(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(3\/2)*l)*l*l*l*l*l)\/l*l\/(l\/(l**(10\/11)\/l*l)))**27 assuming l is positive.\nAnswer: l**(2619\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3234 + -1859. Let m = g - 672. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 4*x**2 + 4*x + 1. Let p be m(5). Let o = -6 - p. What is the tens digit of 1 - (3 + 3)*o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -i - 5*g, 171*i - 6 = 172*i + g for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z. Let a(i) = 3*i - 15. Let j = -8 + 6. Let s be 4\/((j + -2)\/4). Let w(r) = r - 4. Let g(y) = s*a(y) + 15*w(y). Calculate h(g(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1635 - -14602. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4088*r**2 - 2043*r**2 + 64*r - 2046*r**2 + 160 - 12 + 8*r.\nAnswer: -(r - 74)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 40. Let h be t(-17). Does 12 divide 1\/(-3) - 218\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s - 9*s - 18*s)*((48 - 48 - 4*s)*(0*s + s + 0*s) - 6*s**2 + s**2 + 0*s**2 + (-2 + 2*s + 2)*(s + 0*s - 3*s)).\nAnswer: 494*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = 55. What is the greatest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 3. Let t(x) = 1. Let z(o) = l(o) + 3*t(o). Let h(k) = -k - 2. Let q(f) = -1. Let m(j) = 3*h(j) - 6*q(j). What is m(z(y))?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 48, 158, 396, 810, 1448?\nAnswer: 2358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -558.388 - -558. Let k = v + 0.438. Which is the second smallest value? (a) 0.4 (b) -2 (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vskf when four letters picked without replacement from kskvkkvvvvkvhfvkk.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*c - 395522 - 2273848 = 0. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 996730 and 14689738?\nAnswer: 6874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/334792 and 119\/836980.\nAnswer: 1673960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n**2 + 32*n + 13. Is g(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysssyssy. Give prob of sequence ss.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 96?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 5*x + 6. Let v be g(-6). Suppose -7 = -5*w + 4*u, -w + 12 = 4*u + 1. Put w, 2, v in increasing order.\nAnswer: v, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4896031670 divided by -2\nAnswer: 2448015835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + m + 2*m + ((0*m + m + m)*(6 - 5 - 3) + (m - 5*m - 6*m)*(-1 + 4 - 5))*(-5 + 2 + 1)*(2 - 5 + 2).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2 - 20*i + 1. Let g(n) = -6*n**2 - n + 11*n**2 - 4*n**2. Let w(j) = -6*g(j) + 2*z(j). Find the second derivative of w(h) wrt h.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6242*l**3 - 92 - 11 - 59 + 1308*l**3 wrt l.\nAnswer: -14802*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5810 * -20.\nAnswer: -116200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 17 - -4) + 3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144661 divided by 2.\nAnswer: 144661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 + 6*o + 3. Calculate r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000011110101010000 (base 2) in base 9?\nAnswer: 1012642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/20 - 5)*(-12)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.08, 0.5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 + 38*y - 38*y - 4*y**2 in the form k + d*y + t*y**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, 5, 162.6, -1\/2, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*x - 57*x - 13 - 55*x.\nAnswer: 2*x - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**7\/840 + x**6\/72 + x**5\/40 - x**4\/6 - 10*x**3\/3 + 6. Let m(y) be the third derivative of v(y). Does 4 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 12*n**2 - 10*n - 7. Let b be k(11). Suppose 0*q - 36 = b*q. Let g = -178 - -171. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -217905566 to the nearest one million.\nAnswer: -218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2 - 21*m - 512*m**3 + 11*m**5 - 7*m**2 + 512*m**3 wrt m?\nAnswer: 220*m**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.278 and -334688.\nAnswer: -334688.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000773 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 48 + 3)*(4*i**3 - 5*i**3 + 0*i**3) + (2*i - i + i)*(-3*i**2 + 0*i**2 + 2*i**2).\nAnswer: 46*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 47.7.\nAnswer: 23.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13176\/7 < 1883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -2 + sqrt(147) + 2)**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51655 + -1452?\nAnswer: -53440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2496242?\nAnswer: 2, 7, 37, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**3 - 1509660*w**2 - 33213972*w - 182679508 = 0.\nAnswer: -11, 377437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/63 and -41\/234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1\/y)\/y*y*y)**(-4\/23))**(2\/17) assuming y is positive.\nAnswer: y**(-8\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10175 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 39, 58, 77?\n\"Answer: 19*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + ((-12)\/(-2) - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) + 6664\/504. Solve -9 = 3*s, 2*s + g = 2*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711153 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*f**4\/3 - 1524448*f**3\/3 - 4538758082*f**2\/3 + 378253660*f - 23641350 = 0. What is f?\nAnswer: -5955, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15.4 + 15. Which is the nearest to 1? (a) k (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 3*h)*(-h - 3*h + 6*h) + 554*h - 554*h + 12*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6356544 or -6356546?\nAnswer: -6356544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -734 and -9524\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/6 in 1, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 - 2*u**4 - u**4)*(4*u - 4*u + 3*u)*(-3 - 2 + 2).\nAnswer: 45*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5485\/(-32910) - (1 + 19\/(-6)). Solve -4*j + 2 - 6 = 0, -x = c + 5*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - 55\/(-10). Let a be 4\/f*6\/4. Suppose 2*v - 3 - a = 0. Solve 5*q - 2*r = 18, -3*r - r = v*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 4*w, -6*w = -4*k + 75 - 95 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -95534, 4 in decreasing order.\nAnswer: 4, -10, -95534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-2.5841\nAnswer: -2.0841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-4) - ((-30)\/24 + 14 + 24\/(-32))\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m + 42*m = 40*m + 672 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let t(l) = -6*l + 1 - 1 + 2*l. Determine a(t(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 1 = -2*p, p + 13 = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4)\/(((-28)\/112)\/(26\/(-32)))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1646 = -6*a + 9*a + 5*m, 0 = -5*a + 3*m + 2800. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((-228)\/(-24) + 6\/4). Let m(s) = -s**2 - 12*s + 6. Let y be m(l). Solve 0 = -w - w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - 53*q**2 - 72*q - 102. What is g(-12)?\nAnswer: -3414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/7*49\/42.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77344 + -36670. List the prime factors of x.\nAnswer: 2, 3, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 81*m - 729. Give h(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079 plus 0.92?\nAnswer: 0.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 450501 - -5?\nAnswer: 450510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 23*d - 3192. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) -0.2 (b) 0.4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-20)\/600\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*z + 4*z**2 + 65*z - 3*z**2 + 10780*z**3 - 12*z in the form o*z**2 + c*z + n*z**3 + j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - m - 1. Let z be 2 + 0\/(-1 - -4). Suppose 4 = z*i + 4. Calculate k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143.9999798 - 144. What is f rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 69 = -57. Suppose 0 = 7*n + 8*n + h*n. Solve n = 2*u - 5*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -151612\nAnswer: 1\/151612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 5. Let m = b + 5. Let z = 0.2 + -3.2. What is the third smallest value in z, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 m when four letters picked without replacement from mmyysym.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**2 + 23*p - 73. Let t be d(3). Suppose 0 = -4*u - 0*u - 4*n + 16, -2*n - 10 = -4*u. Suppose u*z + t = 296. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.7, 31\/2, 20?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 4 = 0. Suppose 0 = 3*i - 4*h - 244, -d*h + 0*h = -i + 78. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-20\/3)*f)\/f*f*f**(-15))**47)**(15\/4) assuming f is positive.\nAnswer: f**(-7285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56 times 16\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/((-1)\/(-21)). Let w be (-11)\/(-5) - (2 + 0). Let o = 6.624 + -6.524. Which is the third smallest value? (a) n (b) 3 (c) w (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(832) + sqrt(832) - sqrt(13))**2 - (2*sqrt(130))\/sqrt(10).\nAnswer: 28*sqrt(13) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsccggcsgssgs. What is prob of picking 4 g?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 15*j = 35273. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 29*q**5 + 4*q**3 - 3*q**2 + 4*q - 6. Suppose 13*r + 43 = -9. Let k(b) = -b**3 - b. Let d(w) = r*k(w) - h(w). Find the third derivative of d(x) wrt x.\nAnswer: -1740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 2\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 3354.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 - 5*o**2 + 9*o**2 - 9 - 3*o**2)*(6*o - 36356 + 36356).\nAnswer: -12*o**5 + 6*o**3 - 54*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*x + 3 + 6, -2*x = d - 15. Find the second derivative of -19*t - d*t**4 + 4*t - 137 + 140 wrt t.\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/70610 and 26\/1066211?\nAnswer: 10662110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 9) in base 8?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -703897655872647587\/61028 + 11534011532791. Let m = 3\/15257 - z. Let v = 796 - m. Find the common denominator of -45\/4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 893 or 795?\nAnswer: 795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3*s**3 - 4*h**3*s - 11*h*s - 99*s**5 wrt s?\nAnswer: -24*h**3*s - 1980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -130078344*r. Let l(g) = -2*g. Determine v(l(f)).\nAnswer: 260156688*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:01 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 - 24 = 0. Let q(w) = w**2 + 4*w + 2. Let f be q(v). Suppose f*c - 6*c = -32. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(16\/(-202)) - 6\/4. Let v = 59 - y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/71264 and -83\/3488.\nAnswer: 7767776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 less than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 + -170. Suppose t*m - 19980 = -5*m. List the prime factors of m.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10. Suppose 5*c = -5*r + 55, -r = 4*c - 0*c - 2. Suppose 0*z - z + r = 3*n, -v*n = 3*z - 26. Solve -3 + z = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 - 3*p**2 + 3*p + 3. Let t(f) = f**3 - f. Calculate -3*t(d) - y(d).\nAnswer: d**3 + 3*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-120)\/6))\/((2054\/80)\/(-79)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 336*z - 6336 = 0 for z.\nAnswer: 24, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = -29*n + 453. Let l be n\/(-3)*864\/(-180). Let t(f) = -f**2 + 6*f + 6. Let h be t(6). Solve -5*s + h = l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28217.\nAnswer: 7, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + 1\/(-1)). Suppose -4*l - l + 260 = c. What is the remainder when 15 is divided by l\/14 + 14\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*p - 4*o - 23, 0 = -5*p - 5*o - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < -9\/59488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.8512679231 - 0.1487328969. Let t = -5 + 21. Let d = t + n. Round d to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1*sqrt(66) + sqrt(66)))\/(1*sqrt(96)) + sqrt(1100)*1 + sqrt(1100) + -5 + -4)*-1.\nAnswer: -17*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2925.\nAnswer: -2\/2925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -12443?\nAnswer: -12434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 6*y - 18. Suppose 5*i + 2111 = 2*s + s, 0 = -y*s - 3*i + 2103. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r. Let g(k) = 13*k + 20541. Calculate u(g(b)).\nAnswer: 65*b + 102705","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 2, p: 2, s: 1, g: 2}. What is prob of sequence pag?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*w - 2 + 4217*w**3 - 211*w + 2 + 651*w wrt w.\nAnswer: 25302*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 + 4*y + 58. Let h = -129 - -116. What is the thousands digit of x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*t - 15. Let k be ((-64)\/2)\/(-4)*t. Let x(m) = m**3 + 21*m**2 + 36*m - 29. Let g be x(-19). Calculate the greatest common divisor of k and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-8) + -1)*-28. Let f be (5\/(-15))\/1 - u\/6. What is the third derivative of f*n - 8*n**2 + 22*n**2 - 9*n**5 - 2*n wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 43*b**4\/2 - 5*b**3\/6 + b**2 - 9*b. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102339\/7 + -36228839\/2478. Find the common denominator of 19\/354 and r.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 8. Let k be o(-7). Let w = -4 - k. Let d be ((-8)\/w)\/((-2)\/(-3)). Solve 4*z = -5*f + 3*z + 28, -d*z + 37 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 12:49 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**5\/15 - l**4 - 16*l**3\/3 + 34*l**2 - 33. Let v(u) be the second derivative of p(u). Factor v(g).\nAnswer: -4*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79038803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -11 - 25. Let r = 126 - 127. What is the lowest common multiple of y and r\/(-3)*(-18)\/4*-4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918752561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 89?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2476732 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p - p - p)*((-8 - 2*p + 8)*(p + 3*p - 3*p) - 41*p**2 - 33*p**2 + 16*p**2) to w*p**2 + j*p + q + o*p**3 and give o.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -10, 2, -0.1.\nAnswer: -10, -4, -0.2, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13385844*c*j**3 + 2*c*j**2 - 12*c*j - 3*c - 59329*j wrt j.\nAnswer: -80315064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxyuuyu. What is prob of picking 1 u and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 162*c**3 - 22*c**2 - 19*c + 10. Let i(s) = 81*s**3 - 12*s**2 - 10*s + 5. What is 6*g(w) - 11*i(w)?\nAnswer: 81*w**3 - 4*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 26.31?\nAnswer: 26.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 1\/6*x**3 + 1\/2*x**2 + 1\/6 + 1\/2*x = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -10*b**2 + 2*b + 4. Let n(d) = 5*d**2 - d - 2. Let l(g) = 2*j(g) + 5*n(g). Let t be l(2). What is the highest common divisor of t and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3499 + 4061 = 9*a. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*((0 + -2*sqrt(2736)*5)**2 + -4) + -2.\nAnswer: -547193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 + 18*m**3 - 45*m**2 + 24*m.\nAnswer: 3*m*(m - 1)**2*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = -4*w + 5*t, -40341*w + 40346*w = -3*t - 76 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3. Let h = 117 + -1055\/9. Let y = -2913 - -32041\/11. Which is the nearest to -0.1? (a) j (b) y (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b**2 - 4 - 8 + 12 + b**3.\nAnswer: b**3 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5843*i**3*l**3 - 3137*i**3*l**2 + i**2*l**2 + 10*i*l**2 + 24*l**3 + 2*l wrt l?\nAnswer: 35058*i**3 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 7*k**2 + 4*k + 1. Let r be b(6). Let s = r - -9. Is 3 + 19*(s - -3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*(s\/(s\/(s*s*s*s*s**(-1)*s)))\/s*s)**(-2\/9))**(-12) assuming s is positive.\nAnswer: s**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -aaab8a (base 13) to base 15\nAnswer: -546ca8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 43 = -47, -2*f + 6*k + 17464 = 0. What is the greatest common divisor of 34 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - u**4 + 2 - u**2 + 12*u - 6*u as a*u**3 + b*u + h*u**2 + s*u**4 + x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, 1, 37, 5, -4 in decreasing order.\nAnswer: 218, 37, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558467, 1116924, 1675381?\nAnswer: 2233838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*m - 9, 1 = -h + m + 5. Suppose 669*r - 358*r - 32 = 343*r. What is the closest to 32 in 0, h, 2, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w + 60. Let o = -65 - -57. Let q be m(o). Let p = q + -152. Calculate the highest common divisor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32743*l**5 - 63*l**2 + 2379476*l wrt l.\nAnswer: 654860*l**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2044687533 + 2044687533 - 5*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08397 + 0.08394852. Round h to 7 decimal places.\nAnswer: -0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0.5. Let s = 0.7 + g. What is the third smallest value in s, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 999*m = 919*m - 480. Let p(t) = -t**3 - 4*t**2 + 10*t - 11. What is p(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009886 to 5 dps.\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-3) + 3 - 3. Let h = -3 - c. Solve h = -3*a + 11 + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -r + 7, -p = -r - 0 + 3. Let z be r\/(-18) + (-203)\/(-63). Let m = z + 0. Solve h + 4 = m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 16*k**2 - 16*k - 12. Let y be m(-15). Solve 2*r + 3*s = -y*r + 5, 28 = 2*r - 4*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1111011101?\nAnswer: 1111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81893*s**4 + 84356*s.\nAnswer: 982716*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*-2*-10. Let y be 48\/45 + (-4)\/c. Let a = 4.4 + -0.4. What is the second smallest value in y, -0.3, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 362.644 and 724.\nAnswer: 1086.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6169*t. Let z(b) = 30863*b. Calculate z(q(i)).\nAnswer: -190393847*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1480053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(18\/3))\/((-6)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/12 + 5*l**3\/3 + 5*l**2 - 2*l. Let d be i(-8). Calculate the lowest common multiple of ((-20)\/5)\/(2\/d) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 141337, 5, 3, 2 in decreasing order.\nAnswer: 141337, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 48 + 7*l**2 + (4 + 5 + 8)*(-l**2 + l**2 - l**2) + 2*l**2 + l**2 + 0*l**2 in the form x + t*l + w*l**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Factor 4*u**z + 2 - 29 + 11.\nAnswer: 4*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/6*(-4)\/10. Which is the third smallest value? (a) x (b) 2\/9 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = j - 3, -4*j - 7 = j - 2*q. Let p be -3 + (j*3)\/(3\/(-2)). What is the remainder when (59*4\/12)\/(p\/(-3)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6. What is the third smallest value in 4, -2\/11, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, k: 1, f: 8, p: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 25*c - 159. What is h(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -708*o + 2. Let t be s(-5). Let n = t + -31844\/9. Let u = -34\/15 + -11\/6. What is the common denominator of u and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11225 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(3*y**2 - 6*y**2 - y**2) + (-y + 2*y + y)*(0*y + 4*y - 3*y) + 21*y**2 + 54*y**2 + 160*y**2 to h + l*y**2 + c*y and give l.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4628 divided by 356\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-18)\/(-4))\/(-3). Solve 0*n = n + f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 3*m**2 - 140*m - 426. Determine b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 782 - 1880*z**2 + 988 - 529 + 683 with respect to z.\nAnswer: -3760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/120 + 3*s**5\/20 + 11*s**4\/24 + 14*s**3\/3 + 12*s**2 - s. Let x be u(-8). Let j(k) = -k**2 + 8*k - 4. What is j(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 20240?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 <= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 20. Suppose 2*n - 3*r - 1312 = -r, a = -5*r. Let k = -396 + n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 24. Suppose -9*a = 8*a - q. Calculate the smallest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*5 + 1 + sqrt(1300))**2.\nAnswer: 50*sqrt(13) + 8126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 119106*x + 1182186603.\nAnswer: 3*(x - 19851)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487974802 to the nearest integer?\nAnswer: 22090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyiyybiyyfiyyfyyyy. Give prob of picking 2 y and 1 b.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*y - 66. List the prime factors of -944*((-4)\/y)\/(-1).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -735325 + -3?\nAnswer: -735330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37940)\/10840)\/(14\/92)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 126. Let q = t + -631\/9. What is the second smallest value in -1\/4, 0, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 11*b + 21*b - 46 + 28.\nAnswer: 10*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 36. Let c(z) = 4. Suppose 0 = -7*a + 6*a - 4. Give a*x(t) + 36*c(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 9*h = -13*h - 36*h + 1650 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 1111 = -3137. Let m = 524 - h. Let o(v) = -3*v - 21. Determine o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*2*2. Let c(o) be the first derivative of -o**2 - y*o + 0*o**2 - 1 - 1. What is the derivative of c(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1602128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*f = 47462, 42670 = 5*b - 3*f - 76016. Let v = b + -1589. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43097082, -86194163, -129291244, -172388325, -215485406, -258582487?\n\"Answer: -43097081*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 255*n**2 - 3920*n - 8820.\nAnswer: 5*(n - 14)*(n + 2)*(n + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26211339\/34 or 770921?\nAnswer: 26211339\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 67.1 times -0.01\nAnswer: -0.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.81 plus -139?\nAnswer: -131.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25441 - 11669. What are the prime factors of y?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.48 + -1.4. Which is the third smallest value? (a) 3 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*2\/(-44)*1. Let n = -909\/22 - -83\/2. Factor -f*y + 4\/11 - n*y**2.\nAnswer: -2*(y - 1)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(-21\/8)*p**8*((p*p**(2\/3)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(577\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(sqrt(7)*6) - sqrt(5)) + (sqrt(180) - (sqrt(180) + sqrt(180)*5)) + sqrt(180))**2.\nAnswer: 111005\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxtvtbmtvvvxcv. Give prob of picking 2 t and 1 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)*-1 - (5 - 6). Suppose 2*c - 18 = -4*m, 4*m + 0 = x*c + 14. Let z(d) = d**3 - 4*d**2 - 3*d + 6. What is z(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-3*12\/(-168)*-7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 68010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avy when three letters picked without replacement from aadyygv.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/5)*w*w**(2\/11)*w)\/(w**(-4\/3)\/(w\/(w**6*w)*w)))**(-8\/5) assuming w is positive.\nAnswer: w**(3016\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3913 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + 1 + (sqrt(13) - (sqrt(13) + 3 + -4)) + sqrt(156)\/(sqrt(72)\/(sqrt(36)\/sqrt(6)))))**2*-3.\nAnswer: -4650 - 1050*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 + 12*k - 17. Let n be u(3). Suppose -53*h + 2317 = -n*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 + 8*i**3 - 17*i**2 + 10*i = 0 for i.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 2*u + 0*u + 2 + 2*u - 2 + (-4 - 2 + 4 - 1 - 3 + 1 + (6 - 2 - 3)*(3 + 0 - 2))*(0*u + 4*u - 5*u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53424363 a multiple of 1768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*a*p**2 - 515*a*p + 62572786*a - 653*p**2 - 2*p wrt p.\nAnswer: -18*a*p - 515*a - 1306*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:20 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - q**3 - 2*q**5 - q**2 - 2*q**5 + q**2 + (q**3 + q**4 - q**3)*(-4*q + 4*q - 2*q) - q**2 - q**5 + q**2 + (-2*q + 2*q - q**2)*(-3 + 3 - 2*q**3).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -68*p. Let k(w) = -8*w. Let r(a) = -7*a. Let o(u) = -6*k(u) + 7*r(u). Determine f(o(h)).\nAnswer: 68*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - (1 + -1*3). Let k be 46\/8 - 2\/s. Let u(a) = -a**3 - 4*a - 5. Let l(j) = -j**3 - 5*j - 6. Suppose -4*w - 14 - 14 = 0. What is k*l(x) + w*u(x)?\nAnswer: x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 871533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 5:15 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 5 (b) -7 (c) -0.07 (d) 2 (e) 0.067\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 124*c**2 - 3083*c - 394342. What is n(-123)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + 28*s + 24. Let c be j(10). Find the first derivative of -15*u**c - 50 - 15*u**4 + 42*u**4 + 47*u**4 wrt u.\nAnswer: 236*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:41 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 5:07 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/(-48)*(-66)\/10 and 131\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6282356 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1747660 divided by 5\nAnswer: 349532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 2*f**2)*(-2*f**2 + f**2 - f**2) + 5*f - 5*f - 10*f**4.\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, 2, 48 in descending order.\nAnswer: 48, 2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -x - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51707 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2829, 2720, 2615, 2514, 2417, 2324, 2235?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1313 + -1310. Solve d + 15 = -3*x, 5*d + x = -x + j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -32. Let k(d) be the first derivative of 12*d + 10*d - 3*d - b - 6*d**2. Differentiate k(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 476417, 1905701, 4287851, 7622867, 11910749, 17151497?\n\"Answer: 476433*q**2 - 15*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 5461, 2845 in decreasing order.\nAnswer: 5461, 2845, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 220349, -0.5, 46?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 25. Let a be t(23). Calculate the smallest common multiple of 21 and -3 - (4 + -4) - 18*a.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000076823 rounded to 6 dps?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 7 - 1. Suppose v*q + 4 = q. Let y be q\/(-5)*45\/(-12). Which is bigger: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - w + 7*w - 2*w. Let r be p(1). Suppose r*b - x - 4 = 0, 0 = -3*b - 3*x - 1 + 7. Solve 5 = -b*k + j, -4*k + 6*j - 2*j - 16 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3212+0.1787\nAnswer: -3211.8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*a - 58. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4739, -9619, -14551, -19565, -24691?\nAnswer: -29959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718 + 445 + 306 = -32*m - 35 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - -1. What is the derivative of 9 - 5*m**2 + 20*m - h*m wrt m?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.12 + 0.28. Let l = b - 3.6. What is l rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*m - 12 = 0, 5*m - 37 + 13 = -2*a. Let n be (a - 16)*(-3)\/6. What is the tens digit of (18\/n)\/(1\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:35 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1097*i**2 + 1123*i wrt i.\nAnswer: -2194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 31*y**2 - 51*y + 634. Let s be v(30). Solve -15*n - s*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7782.5m to micrometers.\nAnswer: 7782500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 155210\/93 or 1668?\nAnswer: 155210\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17839 by -43.\nAnswer: 17839\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 7*v**2 + 3*v + 3. Let l(k) = 3*k**2 + 3*k + 42. What is the remainder when l(-5) is divided by w(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 881, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 542 = -112. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 14*f**2 - 2*f - 24. Let a be 462\/(-44)*4\/3. Let y be o(a). Solve 0 = 5*b + y*r + 6 + 15, 4*b - 4*r + 24 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**4 + 2*t + 2 + 1 + 5*t**4 - 3*t**3 to y*t**3 + h + a*t**2 + d*t**4 + u*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23890.\nAnswer: 2, 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 + -137. Let l = 100.2 - n. Which is the smallest value? (a) -7 (b) -2 (c) 2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789508176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -295, -649, -1123, -1705?\nAnswer: -2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 0*k - 20, -3*d = k - 11. Suppose d*n - 1 = 49. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -705837 or -705828?\nAnswer: -705828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 95114.02 milligrams?\nAnswer: 0.00009511402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -534, 15, 4, 0.2, 0.139, -0.5?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wagikkoaaiko. What is prob of picking 1 k and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let w(r) = 83*r + 126381. Give g(w(u)).\nAnswer: 83*u + 126381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -244\/5. Let n = 56 - 39. Let t = n - 18. Which is bigger: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700875?\nAnswer: 5, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -114\/17, -13, -2, 10, 0.5 in ascending order.\nAnswer: -13, -114\/17, -2, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225\/4 + 56. Let m = 1.7 + -2.7. Let r = -0.156 - -3.156. What is the closest to 2\/3 in r, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*15\/(-25))\/(8 + 462\/(-60)). Suppose -2*d = 2*d - 24. Suppose n - 2 - d = 0. Solve -m = 2*q, -4*q = -5*x - n*q - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4404674?\nAnswer: 2, 73, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 - a**2 - a. Let p be u(-1). Let w(o) = p - o - 7 + 1. Let c(x) be the first derivative of -5*x**3\/3 + 1. Determine c(w(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 6 = 0. Let s(v) = -v**3 + 7*v**2 - 4*v - 4. What is the remainder when (-88)\/r*(-3)\/(-2) is divided by s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 58*o + 3201. Calculate the least common multiple of 27 and h(-82).\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -3344334?\nAnswer: 3344324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -36. Which is bigger: 22\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -366.\nAnswer: 1\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -29 - (-1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) 0 (c) -0.1 (d) -21.6 (e) 93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-42))\/(5282\/87153). Solve s*f - 18\/7 - 1\/7*f**2 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + 5 + (sqrt(76) + -1*sqrt(76)*2 - (3 + (2*sqrt(76) - sqrt(76) - sqrt(76)))) + 5))**2.\nAnswer: -1440*sqrt(19) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let d(k) be the third derivative of 143*k**7\/2520 - 7*k**4\/3 - 8*k**2 + k. Let p(b) be the second derivative of d(b). Calculate p(r(n)).\nAnswer: 143*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -376 or -3?\nAnswer: -376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -97*u**3 + 195*u**2 - 99*u + 1 = 0.\nAnswer: 1\/97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-65)\/3)\/(23\/(-1311)). Suppose s + 557 = 8*y. Calculate the highest common factor of 32 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.9 - 61.8. Which is the nearest to -1? (a) k (b) -5 (c) 4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 978 - 929.3. Let k = -113.6 + o. Let d = 65 + k. Sort 2, d, 1 in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(sqrt(187) + -5*(sqrt(187) + sqrt(187)*-2))\/sqrt(11)*5.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 162 - 173 - 13*h**2 + 342 + (3*h + 3*h - 4*h)*(-3*h + 4*h - 3*h))*(-3*h**2 - 2*h**2 + 3*h**2).\nAnswer: 34*h**4 + 6*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3653*l**2 + 4. Let w(p) = -3865*p. Calculate w(n(r)).\nAnswer: 14118845*r**2 - 15460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let j(b) = -b. Let w(z) = -j(z) - 2*x(z). Let d be w(6). Let l be ((-3)\/2)\/(d\/8). Solve -2 = 2*m + 5*c + l, 5*m - 23 = 4*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -118. Calculate the common denominator of (-159)\/30*o\/6 and -41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -508*z + 761 + 15182 - 195 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-60)*(-63)\/(-42).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:50 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**3 + 4*a**2 + 1. Let c(z) = -z**3 - z**2 - 1. Let o(j) = j**3 - j**2 - 2*j + 4. Let y be o(2). Suppose -s - y = -0. Determine s*c(r) - b(r).\nAnswer: -2*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 980?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 901290.824 rounded to the nearest 100?\nAnswer: 901300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 - 5*p**4\/12 + 2*p**3\/3 + p**2 - 9*p. Let m(h) = -h**2 + 5*h. Let r be m(4). What is the units digit of k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 157*r**7\/7 - 124*r**3\/3 - r + 260. What is the third derivative of i(l) wrt l?\nAnswer: 18840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*24.3.\nAnswer: 121.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Suppose c = 5*b - c - 33, 4*c + 16 = g. Solve 4*p = -0*x - 2*x - 8, -b*p = -5*x - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27137 is divided by 131?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (24 - (-16 + -57))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 74, 4, -12 in decreasing order.\nAnswer: 74, 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13.2. Let p = -2 + k. What is the second smallest value in 1\/3, p, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 13*k + 5*r + 729, 5*k - r = 1788. Calculate the remainder when k is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25, 30, 39, 52?\n\"Answer: 2*l**2 - l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*x - 2*h, 135 = 5*x - 5*h + 35. Solve 0 = -x*p - 105 + 77 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - b + 3)*(-428*b**2 - 427*b**2 + 23670 - 102297 - 432*b**2 + 1285*b**2).\nAnswer: 2*b**3 + 78627*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -84, -121, -144, -147, -124, -69, 24?\n\"Answer: x**3 - 2*x**2 - 46*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let u be 61\/(-305)*(-10)\/1. List the prime factors of (26\/j*-1)\/u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(147) + sqrt(147))\/sqrt(7))\/(sqrt(48)\/sqrt(4) - sqrt(3)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 134267046.\nAnswer: -1\/67133523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -7.03126?\nAnswer: -7.03126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5580 = 18*x. Suppose -4*s - 4*i - 60 = -x, i - 4 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301885991 to the nearest integer?\nAnswer: 17375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 613115*i*v**6 + 3*i*v**2 + 5*i - 2*v**2 - 187*v - 5 wrt v?\nAnswer: 73573800*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-4) + (-11)\/(-6). Let h be 3\/12 + (9\/(-20))\/(-3). What is the third biggest value in h, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/574*399)\/(28\/(-56)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 456 - 267. What is the highest common factor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1287600 and -13\/776.\nAnswer: 124897200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 14*w - 42. Let b be z(7). Suppose 141 = b*c + 92. Suppose c*i - 5*i = 3382. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 54\/(-15) + (-99)\/260. Let v = c + 3\/13. Let u = 0.5 - 2.5. What is the closest to -1\/2 in u, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*i + 7*v - 123, 3*i - 94 = -2*v. Let o = 20681 + -20521. What is the greatest common divisor of i and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 7*p**2 + 8*p - 5. Let j be t(8). Let u = 79.5 + -79. Sort u, -6\/7, -1\/2, j in descending order.\nAnswer: u, -1\/2, -6\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s - 1599 = -42*s + 3*h, 4*s = -2*h + 1574. Let l be 44\/16 - 2\/(-8). Suppose 4*q + 4*c = 7*c + 532, -l*c = -3*q + s. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12950 is divided by 12916?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/((-476)\/(-266)) + (1 - (-5 - -1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -127. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 8*a + 9. Let i be d(7). Suppose -6*u = -i*u - 4. Is u + (-2)\/4*-70 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = f - 10*y, f = 4*y - 26 + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3965b + -122?\nAnswer: -39781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 8*z + 9. Let k be w(9). Suppose k = i + 4*i - 10. Suppose 5*d = -j + 220 + 3, i*d - 4*j = 98. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 9*q + 2 + 6*q - 6 + 6*q. Let k be n(-2). What is the highest common factor of 10 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21430586\/(-6) + 0 + 432\/324. Let k = -16661763 - i. What is k rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -29966 = -29954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7966 + 7966. What is the fourth smallest value in p, -9, -3\/2, -10, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -523 + 1?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5862, -24304, -55046, -98094, -153454?\nAnswer: -221132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/28*(-16)\/(-12)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by (-4)\/(-46) - ((-4279)\/253 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 8. Let z(i) = -11*i**2. Calculate z(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**2 - 3*j + 14*j**2 + 3*j - j**4 - 6*j**3 in the form o*j + q*j**3 + i*j**4 + t*j**2 + l and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23673\/27 - 5\/(45\/(-2)). Let b = n - 206. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0. Let h = v - -0.7. Let p(u) = -u**3 + 4*u**2 - 18*u + 39. Let g be p(3). Which is bigger: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 7) in base 16?\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + z, 0 = -h - z - z. Let n = h + 4. Solve -4*s - n = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 + 8\/24. Let o(a) = a**3 - 4*a**2 + a - 4. Let l be o(4). Let s = l + i. Solve 5*x - 4*x - s = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*p - 123 - 27. Suppose 36 = p*g - 0*g. What is the remainder when 8 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911873?\nAnswer: 911873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 5. Suppose x + 30 = 4*y, -3*y - y = -2*x - 32. Calculate the remainder when w(y) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 5, q: 3, v: 2, p: 1}. What is prob of picking 1 p and 2 q?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252487.\nAnswer: 37, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 376 - 250. Suppose -o = u - 2*u. What is the greatest common divisor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 14. Let y = t + -2. Let f be 35499998\/y - (3 + (-52)\/20). What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1747, -33\/773, -1\/7 in decreasing order.\nAnswer: -33\/773, -1\/7, -1747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 724.9 + -725. Let d = 6\/19 - -33\/76. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let f be (8\/16*-1*0)\/(-2). Let n(j) be the second derivative of -1\/6*j**4 + 23*j + f*j**3 + 0 + 0*j**2. What is n(a(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 4) + 5 - (5 + -7) - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*s + 60 = 0, -4*s = -2*g + 23 + 1. Put g, -6, -1 in decreasing order.\nAnswer: g, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from qaaaaqaaqqaaqaaqaaa.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-3\/10)\/b)\/b*b**13*((((b**(1\/5)\/b)\/b*b)\/b)\/b)**(2\/77))**2 assuming b is positive.\nAnswer: b**(1279\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and (4\/(-10)*1)\/((-26)\/4290).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4989\/7 - -713. Let s be -1*(-12 + 0\/(-1)). Is s less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 - (11 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1375415 micrometers to millimeters.\nAnswer: 0.0001375415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44566932 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83599 - p + 83619 + 2*p.\nAnswer: p + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -10\/7 (c) -3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 4*u + 4. Let q be t(2). Let b(f) = -f + q*f - 7*f. Let m(c) = -3*c**2. What is m(b(o))?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -23. Determine s, given that 2 + 2 + 21*s + 54*s**2 - 4*s + g*s = 0.\nAnswer: -1\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7b44b25 - 5?\nAnswer: -7b44b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 16*s = -118. Let n = s - -121. Suppose -5*g = -4*g. Put 4, g, n in descending order.\nAnswer: 4, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = 28*t + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120\/(-72)*21\/35?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-261*y**2 + 93*y**2 + 448*y**2)*(28 - 6*y - 28) as c*y + d + j*y**3 + u*y**2 and give j.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116869 and 88122?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 0 + 3)*0. Suppose 2*s + 0*n - 8 = 3*n, 2*s = 5*n + 16. Put s, u, -4 in descending order.\nAnswer: u, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l - 81 + 18 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, u: 2, o: 7}. Give prob of picking 2 u and 2 o.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1760 - 5?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/(-21) + 4)\/(-1) + -3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5960 - 5950. Solve -44*j + 46*j + c = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - 11 - -148 - (-8 + (0 - 2) + 3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 341 and 80643679?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/516 and -83\/12255?\nAnswer: 49020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -85695870 divided by 17139174?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(1\/(-6))*9. Let f(p) = -2*p**3 - 9*p**2 + 3*p - 1. Let w be f(-6). Let m = 116 - w. Calculate the greatest common factor of t and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6253.3959344 + -6214.396. Let h = 39 - o. Round h to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57, -73, -93, -117, -145, -177, -213?\n\"Answer: -2*v**2 - 10*v - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*v**4 + v**3 - 5822*v**2 - 50897 with respect to v.\nAnswer: -12*v**3 + 3*v**2 - 11644*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -654 + 708 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-21) + (-73)\/(4332769\/(-8052))?\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - -3 - (2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50165\/3 + -16721. Factor 8 - 2\/3*r**3 + o*r - 8*r**2.\nAnswer: -2*(r - 1)*(r + 1)*(r + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/18 + 6\/36?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 + x**4\/3 + x**3\/3 + 5*x**2\/2 - 148*x. Let l(g) = -2*g**2 - 14*g - 4. Let j be l(-7). What is b(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(4)*2) + 1*(sqrt(2) - sqrt(8)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -6, 1\/55, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553470 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0395 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 2*z - 510 - 515 + 1025.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8631 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 146 = -55*g - 118. Put -10, 1, 22, g in ascending order.\nAnswer: -10, g, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120390.5 kilograms in tonnes?\nAnswer: 120.3905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -d + 18, -z - 10 = -d - 3*z. Factor 6*w**3 - 2*w**d - 5*w**3 + 4*w**2 + w.\nAnswer: w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 - 255*q**3.\nAnswer: -255*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g + 3. Let r be s(-1). Suppose r*c - 1879 + 52 = 0. List the prime factors of c.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.38 + -0.38. Let i = 184 + -165. Let w = i - h. What is the nearest to -1\/2 in w, -2\/11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-130))\/((-4)\/(-10)). Let d be 37\/(-7) + ((-21009)\/(-987) - (22 + -1)). What is the nearest to -2\/3 in q, d, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (-850)\/(-25) + 7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 14) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1011*g. Let z(m) = 727*m - 5. Give x(z(d)).\nAnswer: 734997*d - 5055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-35)*1\/(-12)*42\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11473, 11475, 11479, 11485, 11493, 11503?\n\"Answer: m**2 - m + 11473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -19. Suppose -q = -4 + b. Is (51 - q) + 2 + -1 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162094 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -2*g**2 - 4*g + 8. Let s(w) = 12*w + 11. What is -11*n(h) - 4*s(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -11. Let w be (32\/384)\/((-8)\/((-320)\/(-495))). Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261492257?\nAnswer: 3, 29, 14499911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0.11 (c) -326.5 (d) -3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68419 - 218764 = -2313*w for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -166 and -16431.\nAnswer: -16597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1074, 4284, 9632, 17112, 26718, 38444?\n\"Answer: -j**3 + 1075*j**2 - 8*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13840 is divided by 2761?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 4*k - 6. What is q(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -54.384. Let s = v - 0.016. Which is the third smallest value? (a) 2\/23 (b) -0.5 (c) s (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.82? (a) 0.1 (b) -621 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 1 - 2 + 0*z + z**3 + 4*z to the form p*z**3 + w*z**2 + d*z + t and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 3*m + 24. Suppose 5*q = w + 378 - 1, -q - m*w = -85. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/168 - 2\/7) + (-33495)\/420?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*((-9)\/(-3) + 1). Suppose -p = -2*c + 2*g, -3*g - 2 = -17. Solve 0 = t + 2*t + c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -2 + (sqrt(30) - sqrt(120))\/sqrt(6) + -4 + (sqrt(5) - (-1 + sqrt(320))) + -3*(sqrt(5) + 1 + sqrt(5)))**2.\nAnswer: 176*sqrt(5) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 23*n + 3942. Let s = -346 + n. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0*j**5 - 5\/6*j**3 - 1\/7*j**7 + 0*j**4 + 0 - 3*j + 0*j**6 + 0*j**2. Find the second derivative of x(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8452338 is divided by 30295?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -4, -3\/5, -5, 11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1122597 and -16.\nAnswer: 1.7961552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/12 + 23*1. Suppose 0*q + 2*q + 4*g = t, 2*g = 2. Solve 3*f - 6*f = o - q, -3*o + 6 = -3*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193\/((-97465)\/(-6464)) - 4\/(-20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-18)*16\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -44, 3.\nAnswer: -44, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1. Let v be f(-6). Suppose 17 + 3 = -v*g, 4*j = 2*g + 320. Suppose j = 2*w + 8. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 35940*a + 35939. Give b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(405)\/(-6*(sqrt(9) + sqrt(54)\/sqrt(6))))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/9*1 - (-8372)\/1449.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 - c - 3. Let g = -56 + 61. Let d(v) = -26*v**2 + 40*v**2 - v - 25*v**2 - 5. Give g*t(b) - 3*d(b).\nAnswer: 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/11463 and 37\/2349?\nAnswer: 8975529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132 * -6134.\nAnswer: 809688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 v, and 1 d when four letters picked without replacement from {d: 2, z: 1, v: 3, h: 4, c: 2, s: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -3\/20 in descending order.\nAnswer: 0, -3\/20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1100100110000101 (base 2) to base 14\nAnswer: -14b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-6)\/(-48) + 27\/6. Suppose 3*q + c*r - 546 = 969, 0 = r. Is q less than or equal to 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 5, w: 2, q: 2, t: 1, i: 6}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2*n + n)*(188*n**2 - 376*n**2 + 5*n**3 + 195*n**2) in the form v*n**4 + u*n + w*n**3 + r + f*n**2 and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 472416, 473397, 474378, 475359, 476340, 477321?\nAnswer: 478302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -539*y - 2086. Is i(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcj when three letters picked without replacement from bbkbbcjjccc?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, 1\/9, 0.5, -57?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*b**6 - 6579*b**4*r**3 + 34*b**2*r + 21*b**2 - 90*r**3 wrt b?\nAnswer: -5760*b**3 - 157896*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((14 - -4) + 4). Let b be (-6)\/(-33) + (-109896)\/j. Suppose -4*v + 518 = 2*t, -5*v = -5*t + b + 31. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**3*y**2 + q**3*y + q**3 - 3809*q**2 - 1216641*y**2 + y + 9 wrt y.\nAnswer: 2*q**3 - 2433282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6858*g - 2. Let k(o) = 1207*o**2. Calculate p(k(t)).\nAnswer: -8277606*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -13, 1184 in decreasing order.\nAnswer: 1184, -13, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14007\/5 + -2802. Sort f, -518, -2\/3 in decreasing order.\nAnswer: f, -2\/3, -518","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -41. Let l be (-40)\/6 - r\/(-51). What is the units digit of 489\/6 - 3\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(-3*(((2 + sqrt(13))*5 - sqrt(13)) + -5) - (sqrt(1573)*2*3 + 1)))**2.\nAnswer: 62400*sqrt(13) + 1983700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -15. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 140 = 20*v. Which is greater: v or -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by 74.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8 + 22 - x + 8. Let u(n) = -n + 1. Let m(r) = s(r) - 5*u(r). Is m(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 - 2*h**2 + 5*h**2)*(4 - 1 - 2) + 6*h**2 - 5*h**2 - 2 - 2*h**2 + h - h**2 - h - h**2 + 5*h**2 - 2*h**2 + (2*h**2 - 4*h + 4*h)*(6 - 3 - 1).\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 39950.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0 - 1\/20*f**5 + 1\/70*f**7 + 1\/40*f**6 - 1\/8*f**4 + 0*f + 0*f**3 + 4*f**2. Factor i(t).\nAnswer: 3*t*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7509*g - 45052. Calculate r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 752453.1 decades?\nAnswer: 90294372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 30d?\nAnswer: -30e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.2 - -10.2. What is the second smallest value in 0.5, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4636*l**2 - 9257*l**2 + 4623*l**2. Let b(w) = -10*w**2 + w. Calculate a(b(t)).\nAnswer: 200*t**4 - 40*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c + 121 - 121)*(-3*c + 2*c - 4*c) + 3 + 2*c**2 - 3 + (-c + 4*c - 2*c)*(-c + 3*c + 0*c).\nAnswer: 119*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v - 12 - 12 + 216*v**3 + 4*v + 25 + 147*v**3 as s*v + j*v**3 + x*v**2 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y - 2. Calculate t(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -461.67, -161 in increasing order.\nAnswer: -461.67, -161, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.1 - 18.1. What is the biggest value in t, 1.23, -1\/2?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 211650*l - 1693203. Determine v(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18039333661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 6*x + 15535. Suppose 4*c - 16*o + 11*o = 1624, 0 = -3*c - 2*o + x. What is the remainder when c is divided by 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u + 15. Let d be b(-1). Suppose 29 + d = l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*c - 731 = 757 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4*h + 3. Let n be 4 - (-3 - (-4 - -1)). Let m(k) = -2*k**2 - 4 - n + 1 - 8*k. Let j(y) = 4*m(y) + 9*t(y). What is j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u - 2 = 4*u - 4*s, -u + s + 9 = 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17*i - 451. Determine f(20).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97465?\nAnswer: 5, 101, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 13*b**2 + 4*b - 5. Let v(n) = 13*n**2 + 3*n - 6. Let t(u) = -6*l(u) + 5*v(u). What is the second derivative of t(i) wrt i?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a - 728. Let s(l) = -2*l - 362. Determine -3*c(i) + 7*s(i).\nAnswer: i - 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.4. Let j be (16 - -6) + (-2272)\/104. What is the smallest value in 11, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 9 + -5 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -15. Are 0.3 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 7*y**2 + 5*y - 3. Let b be -3*4*(-2)\/(-12). Let z be (-3 + 7)*(b + 3). Is a(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 406 + -384 + (-47)\/2. Put 2\/7, -4\/5, 0, x, -3\/37 in increasing order.\nAnswer: x, -4\/5, -3\/37, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Suppose r*a = 2*v - 0*a + 133, a = -1. Find the common denominator of 43\/4 and (-3)\/(-6)*v\/9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 123.\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -y - 2588, 11*h - 8*h = -5*y + 7740. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 5*x + 41, 5*i - 25 = -x + 2*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 22*r**2 + 7*r + 11. Let s be v(22). Suppose 0 = -q + 6*q + s. Let d = q - -105. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 15 = -5*m, 5*m + 2*t = -36 + 16. Let x(h) be the second derivative of -h**5\/20 - h**4\/2 - h**3\/6 + 3*h. Does 3 divide x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137110.\nAnswer: 2, 5, 13, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1892 + -1897. What is the third smallest value in y, 54\/7, 3?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 - 88. Calculate the highest common factor of 28 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2 - 12844*j - 569008 = 0.\nAnswer: -44, 6466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -290.73153 rounded to the nearest integer?\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 894.11 + -882. Let k = -12 + n. Let j = k - -0.09. Which is the third biggest value? (a) -3\/4 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1319*j - 5785*j + 1726*j + (2 + 2 - 3)*(-j - 3*j + 2*j) to the form g + f*j and give f.\nAnswer: -5380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 447*f**2 - 5. Let k(j) = -59228*j**2 + 663. What is 5*k(p) + 663*u(p)?\nAnswer: 221*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3*2\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -132008, -263815, -395626, -527441, -659260?\n\"Answer: -2*m**2 - 131801*m - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 - 76. What is the highest common factor of t and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 92*f**2 + 78*f + 5700. Calculate s(-92).\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Solve -d*z + 3*z = b - 8, b - 23 = -5*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 391975*b - 6665020.\nAnswer: 5*(b - 78412)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 83\/3. Let y = -2.65823 + 0.05823. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 564\/44 - 10 - 3. Let u be (-21)\/(-6) - 1\/(-2). What is the second biggest value in y, u, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336915 divided by 3\nAnswer: -112305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3347 divided by 1\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-1)\/((-4)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2763871 and -10.\nAnswer: 2763861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 0.45, -2, 2?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 2*k**3 - k**3 + (0 + 0 - 2*k)*(3*k**2 - 3*k**2 - k**2) + 2*k**3 - 2*k**2 + 2*k**2 + 2.\nAnswer: 5*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505115 is divided by 154.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 11*k**7\/2520 - 13*k**5\/40 + 5*k**4\/6 + 46*k. Let y(b) be the third derivative of n(b). Differentiate y(u) wrt u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 17 = 3*l. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 15 = 5*n - 2*i, -5 = 2*n - 3*i. Suppose -3*r + n*c = -0*c - 142, 4*r + c - 151 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 31 + 111 = s, 5*s = 2*d - 40. Let c(o) = -o**2 + 0 - 5 - 45*o + d*o + 15*o. What is c(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 43. Suppose r + 0*r - 11 = -c*n, -3*n = 3*r - 30. Calculate the remainder when r is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2235590 divided by -293.\nAnswer: -7630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.38, -11?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 524 = -5*p, -4*k = 5*p - 1 + 565. Let g be ((-1366)\/(-4))\/((-5)\/(-2)). Let m = k + g. Put 1, -4\/9, m in descending order.\nAnswer: 1, m, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1761.961 - -1761. Let r = x + -0.039. Which is the smallest value? (a) r (b) 5 (c) -4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14791*s**2 - 47*s + s**3 - 28 - 14783*s**2 + 35*s. Give f(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 5. Let k(l) = -3*l - 9. Let u(w) = 9*w + 116. Let m(b) = -10*k(b) - u(b). Calculate -2*m(p) - 11*q(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8544*s**2 + 11084*s**2 + 3331*s**2 - 4449*s**2 in the form x*s**2 + g + b*s and give x.\nAnswer: 18510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 239520245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -3 - (1 + 0) - 26. Let g = 20 + l. Is (-3)\/(((-45)\/(-633))\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19238000 to the nearest one hundred thousand.\nAnswer: 19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370993047 + 5.70032.\nAnswer: 370993052.70032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l - 3*k - 2, -4*k - 43 = 5*l. Let f be 1*3 + (l - -9). Solve -f = -c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21*s**2 - 5*s - 1. Let d(o) = 62*o**2 + 2619*o - 1695201. Let b(i) = d(i) + 3*r(i). Factor b(x).\nAnswer: -(x - 1302)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 553 = 2*n - 4*f, -5*f - 875 = -5*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 11*r - 1. Let d be y(-5). Let o = 45 + d. Let w(k) = -38*k + 2. What is the remainder when w(-1) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990 - 5589 = -269*m + 1050 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s**2 + 42*s**2 + 10 - 14*s**2 - 19*s**2 - 10 + 7*s**2 - 6*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + c - 2. Let u be b(-4). Suppose u + 21 = 7*y. Put -1, -3, y in ascending order.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64 and -6.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 4, 8*r - 8 = 5*r + 2*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1792868 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 5. Let x = 10 + -7. Suppose v = -4, -2*c + x*v = -16 - 0. Let w(n) = 9 - c*n - 11 + 4. What is -2*q(d) - 5*w(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 16, -3.011.\nAnswer: -48, -3.011, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006749655828 to 7 dps.\nAnswer: -0.0067497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*b**2 + 3 - 5 - 118*b**2.\nAnswer: -1067*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-495)\/22*(-1057)\/27180?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - -2.3. Let w = 17.3 + -16. Let h = w + 0.7. What is the third biggest value in i, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.6946 millimeters in centimeters?\nAnswer: 80.06946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2 - 239254080*n - 3577657174790400 = 0. Calculate n.\nAnswer: -29906760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) -2\/19 (c) -0.0112 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 7. Let t be x(4). Is (1 - 80)*(t - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*4\/90 + 6856\/120. Solve 3*h = -i + 33 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1898 and 1342588?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270305742\/5 or 54061149?\nAnswer: 270305742\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*z - 4 + 6 = 0, 5*z - 10 = -5*w. Suppose w*s - 5*s - 4*b + 133 = 0, 5*b = -5*s + 215. Suppose -4*q + q = -s. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*(-12)\/(-6). Let y be (-1131)\/(-15) - (-2)\/(-5). What is q in -4*q + 36*q**3 + 8*q**2 + 4*q**g - y*q**4 - 5*q**3 = 0?\nAnswer: -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 13*b + 7*b - 54. Is j(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 + 0 = 0. Let h be f*-2 + (-931)\/2. Let o = h + 443. What is the common denominator of o and -17\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d. Let t(p) = 7*p. Let s(a) = -t(a) + 2*x(a). Let v(z) = -203*z**2. Give v(s(n)).\nAnswer: -203*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/21)*u**17)**(4\/23) assuming u is positive.\nAnswer: u**(1424\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11610*o + 11696*o = 23403*o - 1067 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + 29*u + 41. Let b be c(-13). Let i(r) = -r**3 + 3*r**2 - r - 1. What is i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*t**3 - 23373*t**2 - 3369885 wrt t?\nAnswer: 90*t**2 - 46746*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -228284, -1\/4 in decreasing order.\nAnswer: 0, -1\/4, -228284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - d + d - 4*d + 7*d - 4*d + 0*d + 0*d + 2*d + (4 + 2 - 5)*(-1 + 2*d + 1) + 2*d - 4*d + d + 0*d + 2*d + 2*d to the form m + u*d and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.31573 times 18.9\nAnswer: 5.967297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 2. Give r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -112508729*g*w + 139595227*w wrt g.\nAnswer: -112508729*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.008 (b) 0.3 (c) 0 (d) 4 (e) -4945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 86*k**2 + 29*k - 2334. List the prime factors of u(-89).\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**2 + 11*w - 2. Let g(o) = -12*o - 3. Let b(p) = -3*p**2 - 35 + 27 + 2*p**2 - 34*p. Let x(f) = 4*b(f) - 11*g(f). What is 3*s(q) + 8*x(q)?\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 34*f - 33. What are the prime factors of y(-27)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l + 4. Is l bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 29*m**2 + 51*m + 28. What is the smallest common multiple of u(-7) and 1456?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3346513 to the nearest integer?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-63)\/(-14))\/(2*(-3)\/156). Are x and -120 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c57c6 (base 14) to base 3\nAnswer: 1220112001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*y + 20, -4 = -y + 1. Suppose -5*q + 6*q - 2 = w. Factor 4*a**2 - a**q - 2*a + 4*a - 4*a**2.\nAnswer: -a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 17 (b) -1 (c) -0.3 (d) 0.07 (e) -30 (f) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 43 + (-6 - -1 - -2) + -33\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -1.6, 2, 0, 5\/2, 3\/392?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181852 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/7 + (4873\/(-886))\/((-22)\/(-4))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38\/315 - -5\/63. Factor -h*s**3 - 1\/5 - 3\/5*s - 3\/5*s**2.\nAnswer: -(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-3)\/6)*2. Let a be 3 - 0*3\/9. Let i be 2 + 0 + a + 0. Put x, i, -4 in increasing order.\nAnswer: -4, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*z = -3*z - 23, -3*u - 3*z = -42. Are u and 13 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 36, 75 in decreasing order.\nAnswer: 75, 36, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531 = 6*i - 7*i. Calculate the greatest common factor of i and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 995410 by 16055.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 - 2*c**3 + 2*c**3)*(c + 2*c - c) + 3*c - 3*c + c**5 + 3*c**4 - 3*c**4 + c**5 - c**5 + 0*c**4 + 0*c**4 + (-5*c + c + c)*(3*c**3 - 3*c**3 + c**4).\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -104482949346889+-5\nAnswer: -104482949346894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*i + 9*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 3*z - z)*(-2*z + 4 - 4)*(-1 + 1 + 5*z) in the form s*z**2 + j + h*z + g*z**3 and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 2\/7, 2\/3, 2\/5, -208, 2, -61\/5?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 33*j - 92. Calculate the remainder when 73 is divided by a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(32\/(-20) - 0) + -1. Let c be (57\/21 - 2)\/(x\/(-63)). Solve -2*u + 9 = -5*k - 12, 0 = -c*k - 4*u - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 275*v - 274*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 - 4.1.\nAnswer: 328.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353246?\nAnswer: 2, 347, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4 + -2)*4. Let o be (-1)\/3*j\/(-6). Sort 0.4, o, -1\/4 in decreasing order.\nAnswer: 0.4, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmf when three letters picked without replacement from {z: 3, k: 3, f: 1, c: 2, m: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -3*a**8\/8 + 11*a**7\/42 - 95*a**4\/12 + a**2 + a - 84. What is the third derivative of q(f) wrt f?\nAnswer: -2520*f**3 + 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*x - 8*x - 20, 2*t - x - 15 = 0. Suppose t*n - 260 = -0*n. Let v = n - 33. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-25)*t)**(2\/13)*(t**(-1\/2)*t)**0 assuming t is positive.\nAnswer: t**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2000 + 1998. What is the second smallest value in 4, v, -24\/5, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/9 - 300465896*w\/9 + 5642484666192676\/9.\nAnswer: 4*(w - 37558237)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144040 and 2398565?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 98 = 19*v. Solve 5 = -5*j - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 5*g)*(5 + 15 - 13 - 3 - 4 + 3 + (1 + 1 - 3)*(3 + 3 - 4) + 2 - 4 + 0) + (g + 4*g - 7*g)*(3 + 0 - 4).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554877219.\nAnswer: 3, 13, 14227621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10596100 rounded to the nearest one hundred thousand?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 2*a - 1. Let l be d(-2). Let t = 5 - l. Suppose 3*p = 2*q + 27, 0 = -p - 0*q - t*q + 9. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n - 95 + 144 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 4*h - 4*h)*(-5*h - h + 4*h)*(-3*h + 3*h - 2*h) + 2 - 2 - 2*h**3 + (h + 2*h - 2*h)*(-2 - h**2 + 2) + h**3 + h - h + 2 + h**3 - 2.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -140462.08 rounded to the nearest 1000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 133 - d**2 - 62 - 71. Let z(l) = -2*l. Determine f(z(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l - 17. Let w be u(5). Let m(d) = 28*d + 2*d**2 - w*d. Let g(v) = -v. Determine g(m(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (1 + 2)\/(-3). Suppose -6 = 5*c - y, -l = 5*c - 17. Suppose -2*t - 4*a = -2, -4*t + 5*a + l = -8. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-9 - 12\/(-4). Let x(y) be the first derivative of -y**4\/4 - 8*y**3\/3 - 4*y**2 + 4*y + 17. What is x(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -404*k**2*x + 98*k**2 wrt x?\nAnswer: -404*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 157306191 to the power of 1\/2, to the nearest integer?\nAnswer: 12542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50132 divided by 302?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 6*g**2 + 4*g - 13. Let a = 217 + -163. What is the remainder when a is divided by y(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(8)\/(sqrt(10)\/sqrt(5)) + sqrt(32)\/(sqrt(40)\/sqrt(5)))\/(3*1*(sqrt(8) - sqrt(2))))**2.\nAnswer: -12*sqrt(2) + 89\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 523 - 535.357. What is r rounded to 1 dp?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-60)\/(-6) + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/8)\/v)\/v)**(-3\/5)*((v\/(v*v**(3\/10)))\/v*v*v)**(-9))**(2\/11) assuming v is positive.\nAnswer: v**(-201\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291.9861 + -292. Let i = l - -0.2139. Which is the nearest to 3? (a) -3\/7 (b) 0 (c) i (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5721 and 2770871.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17414000 is divided by 438.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) 0.9 (c) -5 (d) -2\/3 (e) -0.566\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -563072 by -166.\nAnswer: 3392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, h: 3}. Give prob of picking 4 i.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2070183027.\nAnswer: 3, 11, 569, 110251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o**5)\/((o*o**4)\/o)**(36\/5) assuming o is positive.\nAnswer: o**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**3 - 5*o**2 - 5*o - 4400. Let a(u) = -u**3 + u**2 + u. Let k(s) = 6*a(s) + y(s). Let x be k(0). What is x rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 r when four letters picked without replacement from rrrjrrrrlrrrjr?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(99\/(-44)))\/6\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4751? (a) 0.29 (b) 2\/27 (c) 3\/5 (d) -3\/4 (e) 1\/2 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*d = -4*u - 4, -3*d = 6. Let k(t) be the third derivative of -t**5\/60 - t**3\/6 - 878*t**2. Give k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220452975 = 1442*i - 1378*i - 658523025. Round i to the nearest one hundred thousand.\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 7. What are the prime factors of w(3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 17 = 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3) + 98\/14. What is the smallest value in -1, 3, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2206*l - 2085*l = 213*l - 146*l - 65370 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 540 = -41*d. Calculate the highest common divisor of d and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b - 3. Let q(i) = i**3 - 1. Let f(k) = 2*k**3 - 2*k**2 + k - 2. Let m(s) = -f(s) + q(s). Is m(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19044, 38140, 57228, 76302, 95356, 114384, 133380?\nAnswer: 152338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 55*v - 60*v. What is the third derivative of x**6 - 9*x**2 - v*x**5 - 20*x**2 + 4*x**5 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 1:01 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2250621406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/1487 + -61099\/32714. Calculate the common denominator of k and 0 + (-2)\/((-4)\/59).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 + 147*i**2\/2 - 231*i + 156.\nAnswer: 3*(i - 2)*(i - 1)*(i + 52)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15 = u, 3*u - 13 = 2. Suppose -8 = d - 3*d. Differentiate 13*h**2 - d - p*h**2 + 3 wrt h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z - 70*z**3 + 0*z + 6*z + 10*z + 67*z**3.\nAnswer: -3*z**3 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2011149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 36 = 38. Let x = v - -55. What is the remainder when 53 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*4\/(-8)*0. Suppose -y + 5*y = a. Suppose -2*u + m = -10, -2*u - 3*m = -y*u - 10. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14 = 20. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3561 - 4419 = -14*t. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 18*m + 40. Let l be r(-16). Let z be (-2)\/((-1)\/(12\/l)). Find the second derivative of -11*v**z + 6*v - 8*v**3 + 5*v**3 wrt v.\nAnswer: -84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*z**3 + 53*z - 53*z - 3*z**3 + z**3 + z**3 + (4*z**2 + 0*z**2 - 3*z**2)*(-3 + 3 + 2*z).\nAnswer: 61*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3289? (a) -28 (b) 353 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(-2160)\/96*((-51)\/45)\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**4*v*v*(v**(-1\/9)\/v*v)\/v)\/(v**(1\/2)\/(v*(v*v**(6\/7)*v)\/v*v)))\/((v**3)**0)**(-2\/7) assuming v is positive.\nAnswer: v**(157\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(5 + 46\/(-10))*5\/(-8)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**3)**(-18))**(-36))**(-21))**(-2\/19) assuming x is positive.\nAnswer: x**(-54432\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = a. Suppose 2*x + 22 = l + l, -a = 4*x. What is the least common multiple of 3 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f = -13*f + 156 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420131 times 0.2?\nAnswer: -284026.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.31 - 39.31. Which is the closest to 2? (a) -1 (b) -19.5 (c) x (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10795 - 2*x - 6*x - 10804.\nAnswer: -8*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 163, -0.17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*o - 86 = 0, 5*o - 15 = -0*o. Find the second derivative of -8*z + s*z + 0*z + 19*z**2 + 12*z wrt z.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -19. Suppose -2*l + 6*l - 32 = 0. What is the remainder when f is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let a be (-1460)\/(-6) - 1\/o. Suppose 0*b - 3*b - a = 0. What is b rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + 13\/4. Suppose k*r = 2 + 7. Suppose 3*l = l + 2*g, -2*l - 4 = -4*g. Solve -l*b + 20 = r*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/(2 + (-6)\/4). Let n = l - 12. What is the highest common divisor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7503\/549)\/(4\/(-12)*(-2 - 1)).\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/73 - -177\/1022. Let t = -5\/7 + b. What is the biggest value in -5, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 685310*k**4 - 1370624*k**3 + 685318*k**2 - 4*k.\nAnswer: 2*k*(k - 1)**2*(342655*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 p when four letters picked without replacement from {p: 5, f: 5, n: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 545*c**2 + 58*c - 273. What is the hundreds digit of w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 1\/6*k**4 + 2\/9*k**3 - 2\/3*k**2 - 12 + 0*k. Factor q(d).\nAnswer: 2*d*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 bigger than 1405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/r**(-1))\/r)\/r)**(-4\/9)\/(r**0*r*r)**8)\/(r**(-1)\/r**(-4\/7))**(-42) assuming r is positive.\nAnswer: r**(-310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64576 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/2209 + -61834\/19881. Is -3 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)*u**(-2\/9)*(u\/u**(-11))\/(u*u*u\/(u*(u**(-5)\/u)\/u)*u*u) assuming u is positive.\nAnswer: u**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.81 - 3.81. Which is the closest to -2? (a) -0.1 (b) 0.04 (c) w (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 - 14*a + 74. Let y be n(0). Solve 5*m + 25 = 69*g - y*g, 5*m - 3*g + 1 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**4\/2 - c**3\/2 + 7*c**2 - c. Let o(q) = 4*q**2 + 2*q - 9. Let a(u) = -8*o(u) - 5*t(u). What is a(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*(a\/(a**(-4)*a))\/a*a*a\/(a*a**(-6))*a*a**0)**(1\/27) assuming a is positive.\nAnswer: a**(17\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79765.63 nanometers?\nAnswer: 0.07976563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z**5)*z**10 assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46276 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2003 (base 5) to base 3.\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 150733?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-50)\/85) - 0 - 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -78*k**2 - 3*k + 16. Let a be n(8). What is a rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 226944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-18)\/18)\/(3*(-2)\/192).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)\/(y\/(y\/y**13)))**(20\/9)*((y**(-2))**(-23))**6 assuming y is positive.\nAnswer: y**(6662\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 644761117 divided by 3?\nAnswer: 644761117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 - 2458038.\nAnswer: -2457910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r, -3*r + 11 = f + 6. Solve 0 = f*h + 21*h + 145 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38146421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 38*b + 1. Let c be i(3). Let n be ((-42)\/(-56))\/(-1 - (-11)\/8). Suppose -5 + c = n*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 6*c + 5*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 + 2.8. Which is smaller: o or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + 0)\/((-30)\/(-12)). Suppose 0 = 5*n + d - 4318, c*n - 3*n + 3*d + 870 = 0. What is the greatest common factor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 2, x: 2, y: 1, a: 2, h: 1}. Give prob of picking 2 h and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 1015*v - 931*v - 851*v - v**2 + 2 to the form s*v**3 + c + z*v**2 + r*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 3*c + c)*(152*c**2 - 114009 - c**3 + 114009)*(2 + 0 - 4) in the form n*c**3 + b*c**4 + j*c**2 + z + a*c and give n.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 255 = -3*l, -1190 = -7*c + 2*c - 2*l. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -372 - -657. Is 34 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/32)\/r)\/r**(4\/13))\/(r\/((((r\/(r\/(r\/(r**(9\/10)*r))*r))\/r)\/r)\/r)*r\/((r*r\/r**(-1\/8)*r)\/r)) assuming r is positive.\nAnswer: r**(-12587\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 76.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/120 + u**5\/6 + 3*u**4\/8 + 5*u**3\/6 + 23*u**2. Give f(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((3*10\/60)\/(-5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h*h**(2\/5))\/h)*h)**27*(h**(-1)*h)**44 assuming h is positive.\nAnswer: h**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 + -783. Let h = i - -185. Round h to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*a*c*l + 6*a*c*u - 2*a*u + 2*c**4*l*u - 1064*l*u wrt c.\nAnswer: 109*a*l + 6*a*u + 8*c**3*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11773*u - 100083 - 123604 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85802 and -5.\nAnswer: 429010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 485693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3 + (-50)\/6)\/(2\/3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -30220002?\nAnswer: -30220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2106) + ((1*sqrt(2106) - sqrt(2106)) + sqrt(2106))*3)\/(sqrt(128) - -2*(sqrt(128) + -3*sqrt(128))))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28797 is divided by 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 2*l)*(-3*l - 3*l + 5*l) + 204*l - 204*l + 50*l**2.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/4)*x)\/x)\/(x\/(x\/((x**6*x)\/x))))**(-18)\/((x\/(x*x\/(x*x**(2\/9))*x))**(-48)\/((x\/(x**(-2\/19)\/x))\/x*x*(x\/x**4)\/x)) assuming x is positive.\nAnswer: x**(5275\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 1, m: 1, j: 4, n: 1, f: 2}. What is prob of sequence fi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 371061.\nAnswer: 14842440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 2*x - 6)*(-4*x + 2*x - 2*x)*(3*x + x + x) in the form q*x**3 + w*x + u*x**2 + z and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30 + -50 - 70\/(-10). Let p(j) = -j**3 - 14*j**2 - 12*j - 9. Give p(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.371 and 34?\nAnswer: -12.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i - 2. Let w(k) = 34*k**5 - 8*k**4 + 5*k**2 - 30*k - 52. Let m(t) = -w(t) + 5*z(t). What is the second derivative of m(f) wrt f?\nAnswer: -680*f**3 + 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1560 and 71\/35844.\nAnswer: 4659720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:26 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3653 + 3658. Sort 1, -63, 7, n in increasing order.\nAnswer: -63, 1, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 30*y + 85*y - 52*y - 37 = 0, 74 = 9*a - 5*y for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 4 = -4. Suppose -5*k + 4*w + 11 + 19 = y, -5*k + 30 = -5*w. Let o(f) = -f**3 + 5*f**2 + 10*f - 9. Give o(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(64))\/(2*sqrt(48) + sqrt(12))*2)**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 60 = -4*v, -12*q = -9*q - 8*q - 4*v + 5*v + 55 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r\/(r\/((r**(-13)*r)\/r)))*r)\/r**0 assuming r is positive.\nAnswer: r**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20385*g - 9612*g + 9152*g + 6518*g - 17584*g - 18813*g)*(-2*g**4 + 0*g**4 + g**4).\nAnswer: 50724*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 29*v**2 + 8*v + 41. Let l be q(32). Suppose -5*n + l = 3*r - 116, 0 = 4*n + 2*r - 2788. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -34. Suppose 0 = 5*t + 5*w - 20, -p*t = -2*w + 4*w - 10. Solve b = -2*q + t, -2*b + 2*q = -0*q - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(1573)*-3 - 2*sqrt(1573)*-1)*2)**2.\nAnswer: 906048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-12) + -3 + (-590)\/(-4). Let b = 235 - z. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + -5 - -42) + -18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(24)\/sqrt(2) - sqrt(3)))**2 + (sqrt(55) + (sqrt(55) + sqrt(55) + sqrt(55)*-1)*1)\/sqrt(11).\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times 0.07?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + -1 + 4 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, -35, -4 in decreasing order.\nAnswer: 15, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 - 48 = -3*k, 2*h + 3*k = 27. Let z = h + 26. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/87316 and -44\/9.\nAnswer: 785844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.443 + -2.5. Let g = 0.05700261 + a. Round g to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4871878.\nAnswer: 2, 11, 71, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4 and -17\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b - 2*h = -23, -2*b = 4*h - 6. Let v(q) = -2*q**2 - 4. Let l(u) = -3*u**2 - 5. Determine b*v(d) - 4*l(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/10, 0.4, -731, -12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8820478ml to litres.\nAnswer: 0.0008820478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*x + 195, p - 95 = x - 3*x. Let n = p - 85. Suppose -3*t + 491 = -n*t - 4*l, -4*t + 2*l + 638 = 0. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8) + 1\/(-2). Suppose -5*d + 3*o = -63, 4*d - 24 = o + 32. Suppose -d*w = w - 80. What is the second biggest value in w, n, 1\/2, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224554714?\nAnswer: 2, 29, 101, 38333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 7. Let m be h(-6). Let k = m + -8. Find the second derivative of -k*x**3 + 7*x + 30 - 8*x - 30 wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1290, 1381, 1532, 1743?\nAnswer: 2014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 17)*(-b - 3*b + 3*b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2)*(6*y - 2*y - 2*y)*(-6*y**2 + y**2 - 7*y**2).\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(1053) + sqrt(1053) + sqrt(1053) - sqrt(1053))**2 - (-6*(sqrt(13) + sqrt(52)) + sqrt(13)*-2*-3))*3.\nAnswer: 36*sqrt(13) + 78975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -10*x**3\/3 - 3662*x**2\/3 - 92758*x\/3 - 62150 = 0?\nAnswer: -339, -25, -11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t. Let a(g) = 4*g. Let f = 0 + 4. Let q(u) = f*a(u) - 3*p(u). Let v(b) = b - 2. Let x be v(-1). Give q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11005 rounded to three decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/2 - 3903*a**3\/2 - 13627*a**2 + 35064*a = 0. Calculate a.\nAnswer: -3896, -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-25)*(-15)\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 7*v**2 + 16. Let f be w(6). Let x be (2\/(f\/(-15)))\/(3\/4). Factor 14\/3*d + 8\/3*d**x + 2.\nAnswer: 2*(d + 1)*(4*d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 1. Suppose -p + 2 + 3 = 0. Suppose 3*b - 32 = 2*b. Let w(z) = 37*z + 1 - b*z + 4 - z**2 + 3*z**3. Give p*y(i) - w(i).\nAnswer: -3*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -1\/24*l**4 + 0 + 2*l + 1\/2*l**2 + 0*l**3. Let d(f) be the first derivative of x(f). Determine d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**5*r)\/r**(-10\/7)*(r*r**(2\/29))\/(r**(3\/5)*r*r*r*r))**(-33) assuming r is positive.\nAnswer: r**(-164043\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6, -4, -166, 5 in increasing order.\nAnswer: -166, -6, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 3) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474743 is divided by 6068?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 204 = 47*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -84*k + 5. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 6*k**2 + 4*k - 4. Let f be b(-5). Calculate the remainder when (8 - (5 - 4))*f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -97*r + 86*r + 13 - 10 + 5*r**2. Let m(i) = -2*i**2 + 4*i - 1. Calculate 3*c(l) + 8*m(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 2\/3 (b) -83\/3 (c) -3\/238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**3 - 2*d**2 + 5*d - 12. Let p(g) = 23*g**3 - 5*g**2 + 14*g - 34. Let u(v) = -6*p(v) + 17*r(v). Let f(h) = -h**2 + 1. What is -4*f(b) + u(b)?\nAnswer: -2*b**3 + b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -488, -485, -466, -425, -356, -253, -110?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*p - 6, 3*h + 2*p + 6 = 5*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 234.82964.\nAnswer: 232.82964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/4))**(-18\/11)*a**(4\/3)\/((a*a*a**(-5)*a*a)\/a) assuming a is positive.\nAnswer: a**(139\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3406, 6786, 10166, 13546?\n\"Answer: 3380*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3115644184 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t**(-2)\/t)\/t)\/t))\/t**(-1\/3))\/(t*t\/((t\/(t*t**(10\/3)))\/t)*t**(-1\/7)) assuming t is positive.\nAnswer: t**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 10*n + 12*n. Suppose 1 = -2*m - c + 18, 0 = -m + c + 10. Suppose 0 = -n*z + 3 + m. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 301 + -370351?\nAnswer: -370050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270200679.\nAnswer: 3, 7, 179, 71881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 83*a**2\/8 + 1073*a\/4 - 7185\/8 = 0. Calculate a.\nAnswer: -2395\/83, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3bbb70 (base 14) to base 5\nAnswer: 1012142421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.6 - 123.4. Let f = -210.5 - i. Let a = 59 + f. Sort a, 0, 2\/13, 0.3.\nAnswer: 0, 2\/13, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1657, -1495, -1179, -673, 59?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59682 or -2.28?\nAnswer: 59682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/50)\/(2\/(-40)). Let q(s) = -12*s - 6. Let w be q(x). Suppose -4*o + 162 = 2*u, 3*o - w = -4*u + 230. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 4. Let b(a) = -a**3 - 9*a**2 - 9*a - 7. Let q be b(-8). Let n be u(q). List the prime factors of (-28 + 13)*(1 + n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*w - 2*h = -391*w - 130, 2*w - 4*h - 4 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, s: 1, q: 6, u: 3}. What is prob of sequence guuu?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2 + 19*j**3 + 2 - 15*j**3 in the form a*j**3 + x + k*j**2 + y*j and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 2*c**2 + 24*c - 8. Let l be z(6). Let r(t) = -4*t**2 + 2*t + 6. Let a be r(l). Let b = 629 - a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -538465557*f*u**3 - 145*u**3 - 25*u**2 - 19*u + 598 wrt f?\nAnswer: -538465557*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5\/5 - 4*c**4\/5 + 57804*c**3\/5 + 16*c**2\/5 - 173386*c\/5 - 115596\/5 = 0.\nAnswer: -171, -1, 2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -609 - -916. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = -2*h, -5*t + 26 = 4*h - 28. Suppose 4*f + 4*v - 48 = 0, 5*v - 53 + t = -2*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) 8988 (c) 0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06882446244 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 2*a - 1 = 83*l - 38*l - 6, l = 5*a - 51 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -8. Suppose -j = 4*v + 7. Let y = v - -4. Calculate the lowest common multiple of 9 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*t + 44037840 = -10*t. Round t to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7979429105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w - 3. Let n = -997 - -996. What is l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52.8, -3, -1133\/45 in increasing order.\nAnswer: -1133\/45, -3, 52.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 13*j + 1. Let v be u(-13). Suppose -2*g + 5*y + 8 = v, -y = 2*g - 1. Suppose p = -g + 6. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001129 to 5 decimal places.\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, l: 2, s: 1}. What is prob of picking 1 l and 1 x?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-22*6\/(-72) - 0). Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.40067t?\nAnswer: 3400670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - -16 - (109 - 93) - -25.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 10*i**2 - 9*i + 9. Let k be c(9). Let s(o) = 3*o - 3. What are the prime factors of s(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1014*b + 27. Let i(t) = 78*t + 2. What is 2*c(j) - 27*i(j)?\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 12*m**2 - 17*m - 10. Give u(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 30 - 26 = 2*l, -5*l + 2 = 3*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 24*x**2 - 58*x + 36.\nAnswer: -2*(x - 9)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1192370205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -2. Let r = 62836 + -62835.87. What is the nearest to 1 in 3\/8, h, r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 1985*w**6\/3 + 2525*w**2 - 1048. Find the second derivative of z(c) wrt c.\nAnswer: 79400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let f(j) = 5*j - 5*j + 0*j + 2*j. Calculate p(f(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2 - -3) - -23. Suppose -b - 65 = -5*s. Suppose -h - 3*l + s = -26, -4*l - 12 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*r = 2*r + 18, -2*r - 5 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -2)*4\/6. Suppose 0 = 4*x - 5*d + 4 - 14, -14 = -o*x - 2*d. Suppose -x*f + 1180 = -75. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 52, 38, 0, -68, -172, -318, -512?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 109, 108, 107, 106, 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/((-5)\/((-10)\/(-6))))\/((-3)\/(3\/2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42826 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (13732*(-6)\/(-12))\/(1 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 18*n**2 - 37*n + 64. Let x be h(-20). Let g(b) = 4*b**2 + 6*b - 6. Let i be g(-5). Suppose 4*a + 16 = i. Solve 0*d = -x*d - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**8\/2520 - n**7\/210 + n**6\/60 + n**3 - 2. Let p(k) be the third derivative of s(k). Suppose p(x) = 0. Calculate x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*f - 1653 - 3019 = 82*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = 4*j + 6, -147*l + 4*j - 8 = -147*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f + 138*f + 8*f + 3*f - 197*f.\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 7. Let j = g - 8. Suppose 0 = b + 4*q - 25, -j*b = -2*q + 7*q - 89. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o = -212 + 12. Solve o*k - 6*t + 3*t = 3, 2*t + 2 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11 - 16 - k + 6.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-315)\/18*4\/(-10). Let r(j) = -2*j**2 + 15*j + 7. Let y be r(n). Calculate the greatest common factor of 322 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwem when four letters picked without replacement from {x: 4, e: 1, z: 1, o: 1, m: 2, w: 11}.\nAnswer: 11\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 2200?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 13. Give t(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -375800 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1158 + -583. Suppose 0*y - 5*y + b = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -562 at least as big as -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + (2 - -3) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3125 by 5.\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffatadafdtpadfatf. Give prob of picking 1 d and 1 p.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 2. Suppose -2*a - 3*c = 5, -12 = a - 4*c + 18. Let o be r(a). Is o >= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*g**5 + 19\/5*g - 2\/5*g**4 + 4*g**2 + 6\/5 + 6\/5*g**3.\nAnswer: -(g - 3)*(g + 1)**3*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6238026, -6238025, -6238024?\n\"Answer: t - 6238027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/9 - -2)*3. Let p be (-4)\/y - 280\/(-49). Suppose 0 = -p*r + 7 + 5. Solve -2*w + 10 = -3*x, 5*x = r*w - 8 - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -28, -27, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*q - 68, -86 = 5*v - 2*q - 16. Let j be (2 - (-32)\/v)*-3. Suppose -4*n + 38 = j*z, 3*z + 0*n = 5*n + 57. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -132\/5 + 40*l**2 + 62\/5*l - 12*l**3 - 68\/5*l**4 - 2\/5*l**5 = 0. What is l?\nAnswer: -33, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -34. Calculate the highest common factor of 15 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 67, 69, 71, 73, 75?\n\"Answer: 2*u + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 5*m + 5 - 15, -10 = -3*m + a. Solve -m = -2*h - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izzizzizzizi. Give prob of picking 4 z.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.056322 to two dps.\nAnswer: -4.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 2*k + k)*(-17 - 87*k + 140*k - 65*k) to the form m*k + w*k**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84516.9899986 - -84517. Let w = 0.01 - o. What is w rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 3. Let i(y) = -3*y - 2. Determine 2*f(z) + 5*i(z).\nAnswer: -5*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1446\/(-1687)*-5*(-21)\/6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -282*z + 382*z - 5900. Solve 2*w - 67 = -z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttctttttcc?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {d: 4, b: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 11*l + 3. Give s(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013426789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (30\/25*(-4)\/12)\/((-4)\/8)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9664, -19363, -29062?\n\"Answer: -9699*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 bigger than 8522\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 9. Let k be u(7). Suppose -k*z = 2*z - 16. Suppose 3*j + 10 = l - 5, -5*l + 97 = -z*j. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 9*b - 21. Let j be w(2). Suppose -j*d = -13105 - 5901. Does 86 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3834 + 1?\nAnswer: -3833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) 1 (b) -98 (c) 0.0324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4523*w**4 + 140210*w**3 - 294088*w**2 + 149454*w - 99 = 0.\nAnswer: -33, 3\/4523, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64\/5 of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k**2 - 4*k - 1. Let j be w(3). Suppose 15 = z - i, z = j*z - 3*i - 61. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.442702 meters?\nAnswer: 744.2702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.91346 days to weeks.\nAnswer: 91.84478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let z(d) = 92*d**2. Let q(r) = -13*r**2. Let a = -19 - 1. Let w(c) = a*q(c) - 3*z(c). Give s(w(j)).\nAnswer: 256*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1974)\/6486)\/((-1)\/23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2531213395.\nAnswer: 5, 31, 16330409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*f + b, -4*b + 3 = 5*f - 1. Suppose 2*u = -2*u + 8. Solve -u*n - 2*n = f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21384)\/1980*((-17)\/6 - -3).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(1 - 2))\/(18\/9). Suppose 3*m - r*m = -38. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3790666, 3790678, 3790690?\n\"Answer: 12*c + 3790654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116087, -232159, -348231, -464303, -580375, -696447?\nAnswer: -812519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5\/2 + 235*d**4\/2 + 375*d**3.\nAnswer: -5*d**3*(d - 50)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 35507.431.\nAnswer: 35502.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4501 - 14905 = -134*x - 4130. What is the greatest common factor of x and 988?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12732 - -12719. Which is smaller: -35\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 + 5 + 5*t**2 - 5. Let g(a) = -58*a. Give g(u(o)).\nAnswer: -58*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10*q = 5. Let n(f) = f + 1. Calculate n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5268174, 5268164, 5268154, 5268144, 5268134, 5268124?\n\"Answer: -10*a + 5268184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 12. Suppose -q*m + 149 = -2*m + z, 3*z + 57 = 2*m. Let r be (-2772)\/(-30)*240\/56. Calculate the highest common divisor of m and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuwuwu. What is prob of sequence uw?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:31 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -1 - (-54 + 110 + -49)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 + -15 + 1*-6. Let g be c - (11 + -1)*(-2)\/4. Factor -30 + 37*j**2 - 21*j**g - 85*j - 41*j**2.\nAnswer: -5*(j + 3)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:26 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvkbvpkvvvooovvvv. Give prob of sequence vvkk.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(154\/14))\/(-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9*1*(-2 + 1). Let l be (-3 - -6)*(-3)\/j. Let a be (-7)\/(14\/(-4)) + l. Solve q = 4 + a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = 3*g, 2*g + 12 = 4*i + 6*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2842407.015349 + -4.\nAnswer: 2842403.015349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/64306772 and -99\/44144.\nAnswer: 257227088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1197 - 58 = -5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 - 79 + 2*x**2 - 3*x**2 - 5*x**4 to o*x**2 + h*x + s + j*x**3 + c*x**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:38 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147995673 + 727.\nAnswer: 147996400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-40)*(5 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -344588603*k**4 - 129626193?\nAnswer: -1378354412*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 2*h**2 + 2. Let x be u(-2). Let z(r) = -r + 4. Let b be z(x). Suppose 12 = k - p, 0 = k + 2*p + b*p - 17. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = g - 148, 0 = -3*b - 0*b - 3*g + 120. What is the lowest common multiple of b and 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose -i*j - 3*j + 10 = -r, -5*r = -j - 22. Is j less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85360 divided by -88?\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 5. Let u = 41 - 43. Let d = u + -13. Let t be 4\/(-6)*(21 + d). Calculate y(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u - 62. Let i be d(-16). Suppose 3*n - i*j - 10 = 3*j, 3*n = -2*j - 4. Solve -2*k + 6*k = n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 + 326400?\nAnswer: 326536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.32 - -1944.28. What is z rounded to the nearest ten?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*v, -4*v = -2*v - 4. What is the second derivative of 0*y**2 + 4*y**2 + 0*y**r + 0*y**2 - 4*y wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 4. Let q(y) be the first derivative of -3 + 3*y - 1\/2*y**2. What is -3*c(i) + 4*q(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-4 - -22) + -16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 0.86 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 32. Is y equal to -26\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 19*s + 20*s + 32*s.\nAnswer: 71*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 485654 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 h, and 2 w when four letters picked without replacement from {a: 1, h: 6, w: 4, i: 4, j: 2}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67\/2 + -33. Let s(q) = q**2 + 7*q. Let p be s(-7). Let d be 4\/10 + (0 - p). What is the nearest to d in o, -5, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 2*t + t**3 - 2*t**4)*(0 + 0 - 1)*(0 + 1 - 2)*(3 - 4 - 3).\nAnswer: 8*t**4 - 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150645 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*(-44)\/6. Let b be (k - (-2)\/2)\/(-2). What is the second derivative of -3*c**b - 3*c - 2*c - c**4 + c**4 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*s = -0 - 20, -4*x - 16 = -5*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*n**2 + 604*b*n - 2*b - 1008*n**2 - 7*n wrt b.\nAnswer: -2*n**2 + 604*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 - 15828098*p**3 + 3*p**2 - 30725525*p.\nAnswer: 12*p**2 - 94968588*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) -2 (c) 1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 minus -24?\nAnswer: 24.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521859*p**2 + 457889*p wrt p?\nAnswer: -1043718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193*a**5 - a**4 - 3*a**3 - 73*a**2 + 66*a?\nAnswer: -11580*a**2 - 24*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = o. Suppose -s + 0*s + 100 = 0. Suppose 5*a = -0*a + s. What is the smallest common multiple of o and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) -4.51 (c) 4\/7 (d) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -49711502, -198846012, -447403528, -795384050, -1242787578, -1789614112?\n\"Answer: -49711503*p**2 - p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 30*q - 17. Suppose 2*t - 7*t + 320 = 0. Let p = 68 - t. Let x(s) = -15*s + 9. Let j(f) = p*b(f) + 7*x(f). Differentiate j(m) with respect to m.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 4*r**2 - 2*r - 1. Let q be t(2). Suppose 0*c - q*n - 1160 = -4*c, -c - 4*n = -271. What are the prime factors of c?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -965, -3862, -8691, -15452?\n\"Answer: -966*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44175 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2443548*k*m + 4*k - 152973 wrt m.\nAnswer: 2443548*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(sqrt(125)*-2 + 3 - sqrt(125) - (0 + sqrt(125) + -1 + sqrt(125) + sqrt(125))) + -3)**2*2.\nAnswer: -64800*sqrt(5) + 1300050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - 1 + 6*t**2 - 5*t**2 - 1)*(t**2 + 0*t**2 + 2*t**2) as z*t**4 + s*t**3 + d*t**2 + i*t + f and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/3 + 11*d**2\/2 - 5*d. Let y(a) = a**2 - 3. Let c(u) = -6*s(u) - 22*y(u). Let o(z) = 17*z**2. Determine c(o(f)).\nAnswer: 578*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66\/(-44)*2420\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*a = -14936, -17209 = -3*t - 4*a + 5192. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*c - 28041, 2*q + 7005 = 2*c - 3*c. Let n = -2838 - c. Suppose 881 = g + 2*k, 4*g - n = 3*k - 605. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150.834 + 151. Let i = 68.166 - g. Let b = i - 68.58. Round b to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -8, -1, 2348?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = -1. Is (66 - (2 - b)) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9.3. Suppose -z + 39 = 2*z. Let c = z + -15. What is the nearest to 0.1 in c, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/261, 0.1, -2\/15, 3, 0, -2 in descending order.\nAnswer: 3, 0.1, 1\/261, 0, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 513712728 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**7)\/p*p\/(p**(-1\/10)*p))\/((p**(1\/4)*p)\/p*p*p**(1\/2)) assuming p is positive.\nAnswer: p**(-153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 133308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1824 by 96.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6 times -4?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (3 - 13) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25165714 or -75497141\/3?\nAnswer: -25165714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52984*t + 38 = -4*p + 52983*t, -4*t = -10*p + 22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3 + sqrt(300) + (sqrt(300) - (1*sqrt(300) + sqrt(300)))*-5 + 0 + sqrt(300) + -3)**2 + 3)*5.\nAnswer: 73530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 9. Let x be l(7). Let b = 53 - 56. Let t be b\/x*90\/(-27). What is the third smallest value in -4, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-28302)\/(-212)*(-16)\/(-6) is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(1900) + sqrt(1900) + 4 + (sqrt(1900) - (0 + sqrt(1900))) + sqrt(1900))**2 + 4*(1 + (sqrt(1900)*2)**2).\nAnswer: 120*sqrt(19) + 47510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-104)\/(-24))\/13*(-180)\/(-16)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36738514 + 36738473.999938. Let l = -40 - d. Round l to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 3*x + 0*x + 3*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and (-6)\/(-1) - (-4386)\/(-660)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 38 = -3*d, 3*d + 6 = -4*p - 34. Let m = d - -89. Suppose 5*j + 8 - m = 0. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307542 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 485365.\nAnswer: 970730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 + 35*x - 8. Let s be c(17). Suppose 0 = -5*r - 3*m + 7*m + s, 5*r - 6 = m. Are -6 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.302?\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1\/10, -0.06, 1746, -4, 1 in decreasing order.\nAnswer: 1746, 1, 1\/10, -0.06, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.13576.\nAnswer: -0.06788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2 - 2)*(2*l - 3*l + 4*l) - 4*l**3 - 3*l + 3*l**3 + l.\nAnswer: -4*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtt when three letters picked without replacement from wwttwtwwtwwwwt?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*t**6 + 21*t**6 - 11*t**2 + 3*t**5 + 35*t**2 + t**5 wrt t.\nAnswer: -1080*t**3 + 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 26922.\nAnswer: 53844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 34. Let d be t(-18). Let u be 34 + 0 + (-2 - -1). What is the derivative of 0 - u*l**2 - d + 34*l**2 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:19 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = j + 30. Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476859854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrprrrrrr. What is prob of sequence rrr?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*j**3\/5 - 2*j**2\/5 + 24*j.\nAnswer: -2*j*(j + 3)*(7*j - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*w + 118 - 5 = 0, 0 = -5*u - w + 116. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55743.51kg to milligrams.\nAnswer: 55743510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180852 by -24.\nAnswer: 15071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = r. Let j be (-1)\/(-4)*r + (-390)\/(-120). Let m be 6 + (j - 4) + 0. Which is the third smallest value? (a) -6 (b) 3 (c) -4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1\/4*b**4 + 13\/6*b**3 + 0 - 23*b**2 + 0*b + 1\/60*b**5. Let v be u(-4). Solve -w - 9 = -v*h + 11, -3*w + 25 = 2*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53262 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -56*d**5\/5 + 2225*d**4\/2 + 2396*d**3\/3 + 160*d**2 - 2401. Suppose w(v) = 0. What is v?\nAnswer: -2\/7, -1\/4, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6083*z - 3742*z + 4157*z - 898*z + 5468*z.\nAnswer: 11068*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 336 = -4*q. Let t be q\/(-49)*28\/(-6). Let h(r) = 3*r - 3. Calculate h(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-18)*m)\/m**(-2\/31))\/(m**(-21))**(-17) assuming m is positive.\nAnswer: m**(-10445\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17847721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43190038 - 43190000.7158895. Let n = 3.2841221 - l. Let f = n - -34. What is f rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689681533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*l + 132, -5*l + 193 = -0*k + 4*k. What is the remainder when (-4 - -1) + (l - 5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313103212 (base 4) in base 7?\nAnswer: 1632310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/((-98)\/(-15309))*-2 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -6, -4, -3 in decreasing order.\nAnswer: 26, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -805?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -831\/7 + 119. Let v = -171 - -173. Which is the nearest to g? (a) v (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/15)*j**(-3)*(j**(-2\/3))**(-6))**(7\/8) assuming j is positive.\nAnswer: j**(91\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6109 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1704444803?\nAnswer: 17, 100261459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -36. Let s(l) be the second derivative of -l**4\/6 - l**3\/6 - l**2 - 4*l. Let o be s(-2). Sort c, o, 2 in increasing order.\nAnswer: o, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1358.14*-1124\nAnswer: 1526549.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -m + 16, -5*m = -p - 0 + 4. Let q = p + -9. Suppose 4*f - 30 = q*k - 396, -k - f = -66. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -463\/674822?\nAnswer: -463\/674822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbbbbbbbbbbbbt. Give prob of picking 3 b and 1 t.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-616)*55*1152\/45\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14355 (base 14) to base 11\nAnswer: -34675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (4 + -11 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 24*m - 2*m**3 - 9*m**2 - 14 + 11*m + m**3. Does 10 divide g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 + -20)*1\/(-3 + 2). Let l be ((-2)\/(-3))\/((-13)\/117). Let i be l\/4*(-36)\/27. Solve i*k - 3*k = -r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 3:53 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a. Let k = a + 2. Find the second derivative of -2*s**3 - k*s + 4 - 4 wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14046133 and 21.\nAnswer: -294968793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 + 0.03. Which is the biggest value? (a) -0.45 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 43*u + 2. Calculate w(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-9))\/1*(-2352)\/(-176792)\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:51 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 37. Determine h(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42714 (base 9) in base 13?\nAnswer: -cb47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d65bd57 - -4?\nAnswer: -d65bd53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h + 7*h - 9*h. Let l(o) = -9*o + 31*o + o. What is n(l(u))?\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iijk when four letters picked without replacement from jjiijjkjjjjjjkkjjjjj?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98.6 + 99. What is the second biggest value in -2\/3, 0.2, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 29582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/6 - 38*i**3\/3 - 401*i**2\/2 + 2878*i\/3 - 3038\/3 = 0. Calculate i.\nAnswer: -49, -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 9. Suppose 2*d + 5*a - 4*a - 633 = h, 5*d + a = 1590. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1\/9, 37, 0.4, 0.1, 0.5, 190?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199\/140 + -33\/28. Suppose 4*v + 2*t = t - 24, 0 = 5*v - t + 21. Let n be 4\/v*(3\/2 - -1). Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10860)\/31675)\/(12\/(-10))*-4.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**3 + 6*t**2 + 8*t. Let a(l) = -16*l**3 + 19*l**2 + 18*l. Let x(y) = -8*y**3 + 10*y**2 + 9*y. Let p(o) = -3*a(o) + 5*x(o). Give 7*k(q) + 6*p(q).\nAnswer: -q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -293, -619, -1061?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 694*j**2. Let z(d) = -767*d**2 + 46*d. What is z(y(h))?\nAnswer: -369414812*h**4 + 31924*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 3:15 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kksk when four letters picked without replacement from sskkskkkskss.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2. Let d be 301\/28 - 1\/(-4). Let m(v) = -v**2 - 11 + d. Calculate f(m(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2693, -3, -3\/4, 0 in descending order.\nAnswer: 0, -3\/4, -2, -3, -2693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*m**6 - 32044*m**5 - 3*m**3 + 119*m**2 - 25521*m wrt m?\nAnswer: 1200*m**3 - 1922640*m**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.529 + -0.129. Let h = 26.8 - 27. Put s, h, -2 in decreasing order.\nAnswer: s, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61200 and 1002096.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 10:44 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 90. Let r be (m\/9)\/(2\/(-3)). Suppose 2*p = 3*d + r, 0 + 6 = -2*d + p. Let n(b) = -2*b**3 - b - 1. What is n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1427 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkq when three letters picked without replacement from {q: 8, k: 2, r: 2, g: 2}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -32*h + 60. Let l be t(2). Suppose 0*c + 2*c = -170. What is the units digit of (-1095)\/c + l\/(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -606, -695, -858, -1107, -1454, -1911, -2490, -3203?\n\"Answer: -2*z**3 - 25*z**2 - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9 - -3)\/(5\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 2*t**2 - 2*t**2)*(-4 - 5 + 5) + (1 - 1 - 2*t)*(-3 + t + 3) - 3*t - 2*t**2 + 3*t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/((-483)\/1771)*4\/(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*x - 25*x - 1700. What are the prime factors of x?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1780806430 rounded to the nearest one million?\nAnswer: -1781000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.32, 3, 185, -5?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 4*d)*(1 + 1 - 3)*(-6*d + 8*d + 10*d) to the form p*d + c*d**2 + x and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001 (base 2) in base 9?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 w when four letters picked without replacement from ykwkkkkkykkkwkkyk?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29829 divided by 489?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.349217, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from yyyqqqqyyyqyq.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.85 + 7908957.\nAnswer: 7908925.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(1\/2))**(-26)*d**(3\/4)\/(d\/(d**(2\/3)\/d)) assuming d is positive.\nAnswer: d**(-475\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*b - 6 = 4*l, 0 = -b - 2*l - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/2 - 4551*j\/2 - 2275 = 0.\nAnswer: -4550, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -231\/2 in -1\/3, 1\/3, -0.1, 17\/8, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.029 (b) 3 (c) 2 (d) 0.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 - 68\/5*r**3 + 112\/5*r**2 - 78\/5*r + 2\/5*r**5 + 12\/5*r**4.\nAnswer: 2*(r - 1)**4*(r + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c**2 - 33*c**2 + c**3 + 10*c**2. Let q be f(8). Solve -m + q = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7199020 is divided by 1028429?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 292*y + 1120. Give c(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5220.716 kilograms?\nAnswer: 5220716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -42409\/3096 = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 5. Let x(w) = w + 6. What is 6*p(q) - 5*x(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/29)\/((j*j**(-1\/17))\/j))\/((j\/(j**(-3\/4)*j*j)*j)\/j**(-22)) assuming j is positive.\nAnswer: j**(-44951\/1972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 125, 3, -105, -193?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 20 = -f + 6*n, -4*f - 15 = -3*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10384?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/56280 and -71\/16884?\nAnswer: 168840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121973781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059*t + 1086*t - 368765 = -3858*t + 153496 for t.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17203*m**2 + 120277*m\/3 + 112.\nAnswer: -(3*m - 7)*(17203*m + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -682, -681, -680?\n\"Answer: t - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 262 + -231. Is k a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 10*a - 8. Let d(i) = -i**2 - 7*i + 5. Give 8*d(b) + 5*t(b).\nAnswer: 2*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = -3*f, 3*f + 11 = m. Is (804\/24)\/(m\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1547 and 83981547?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 18*r**2 - 15*r + 26. Let g be d(17). Let i = 186 + g. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -163*n - 3. Let q be w(5). Let u = -436 - q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2086, -0.17, 2 in increasing order.\nAnswer: -0.17, 2, 2086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 20*t - 16. Let a be q(-13). What are the prime factors of 25\/a + (-2662)\/(-6) + -2?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4869, 4872, 4883, 4908, 4953, 5024?\n\"Answer: y**3 - 2*y**2 + 2*y + 4868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8043285?\nAnswer: 3, 5, 536219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10411461?\nAnswer: 3, 43, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 7*h + 10. What is n(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**10*g**(-2\/9) assuming g is positive.\nAnswer: g**(97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-357)\/34)\/((-81)\/108)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*z - 55*z + 60. Let w be (-12)\/(-5) - z\/(-30). Solve 0 = -5*h - 7 + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1229 - 3?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2405047 in ascending order.\nAnswer: -3, 3, 2405047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9*3 - 41. Let u be 3 + (-10 - (-102)\/(-3)). Is g <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 4, 73, -4, 0.5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.647017, -0.24, -5, 5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5398\/5 at most as big as -1079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 30*x - x**2 - 30*x. Let d(c) be the second derivative of -8*c**3\/3 + 2*c. Determine d(o(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*o + 265 = -o, -350 = -5*p - 5*o. Suppose 7*l + p = 179. Calculate the highest common factor of l and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqsqs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*s**5 + 2*s**4 - 848*s.\nAnswer: -180*s**3 + 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -i - 5, 2*i + 19 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(17\/(340\/15))\/((972\/(-2424))\/27).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142*d**3 - 6 + 8 - 2295*d**3 - 2 + 1151*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818357, 1636835, 2455313, 3273791?\nAnswer: 4092269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 19*o - 74. Let z be x(-6). Solve -z*f + 1 = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-22) + (-35)\/(-154)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 76850423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gafgwasf. What is prob of picking 1 w, 2 g, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 95*v**2 - 18*v - 4. Let y(j) = 53*j**2 - 8*j - 2. Calculate -4*l(k) + 9*y(k).\nAnswer: 4*k**3 + 97*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 4*c - 10. Let p(h) = h**2 + 1. Let j(v) = -f(v) - 4*p(v). Suppose j(m) = 0. Calculate m.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 25*w**2 - 48*w - 31. Calculate g(-23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - 960\/(-432). Let u(f) = 5 - 4*f + f + 7*f. Let v(g) = -g - 1. Calculate z*u(h) + 10*v(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 minus 11273?\nAnswer: -11273.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 + 0*w + 3*w**3 + 6*w**3 - 214 + w.\nAnswer: 9*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2801 + -2802. Let c(w) = -w**2 - w - 1. Let t be c(0). Let p(r) = -r**3 - r**2 + r - 1. Let n(m) = m**2 - 2*m - 2. What is f*n(i) + t*p(i)?\nAnswer: i**3 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1464 and 32?\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2897 - 1634?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4283 in 1\/3, -5, -3, 8.8?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 3*i - 5*i)*(4*i**2 - 3*i**2 - 2*i**2) + (1 + 1 - 4)*(0*i + 0*i + 2*i**3).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.2631 + 0.7259. Let p = 12 - 4. Let b = p - l. Round b to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35647*3.\nAnswer: -106941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6 + 5*m**2 + 2 - 4 - 2 + 1. Let q(a) = a**2. Calculate f(q(j)).\nAnswer: 5*j**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9255 and 305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let d(b) be the first derivative of -11*b**3\/3 + 21. Determine m(d(k)).\nAnswer: 121*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 808, 1812, 3198, 4948, 7044, 9468, 12202?\nAnswer: 15228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 13) in base 16?\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/145*(-225)\/18.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/3))**(-47)\/((o\/(o\/(o**(1\/6)\/o)))\/o**(-2\/13))*(o\/o**(-4)*o**(1\/12))\/((o*o*o\/(o*o**(-2\/9)))\/((o\/(o**(-1\/2)\/o))\/o*o)) assuming o is positive.\nAnswer: o**(-11837\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -88100 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -1\/30*v**6 - 1\/20*v**5 + 1\/6*v**4 + 0*v**2 - 1 + 3*v + 0*v**3. Let y(u) be the first derivative of i(u). Factor y(x).\nAnswer: -x**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:41 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 697595.2059729?\nAnswer: -697595.2059729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1779 divide 7124895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51911 and 10023929?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let x(k) = 2*k**3 - 3*k**2 + k - 1. Let t be x(m). Let v(g) = g + 5. Let c be v(t). Solve j = 3*o + c, 4*j + 8*o = 4*o - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1235a1 (base 13) to base 12.\nAnswer: 19037a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - 31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529142581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6472449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9057490 = -19*c. Let r = c + 4596730. What is r rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*t**3 + 0*t - 41*t**3 + 0*t.\nAnswer: -141*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 37*u**2 + 366*u + 6. Let q be m(-10). Calculate the greatest common factor of 2300 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135657*q**4 - 85372*q wrt q?\nAnswer: -1627884*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3501*k - 2. Let b(o) be the second derivative of -o**3\/6 - 4799*o. Determine v(b(r)).\nAnswer: 3501*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 17. Let f = c + -16. Suppose 4*p - 5*l - 23 = 0, -5*p - 5 = 3*l + 2*l. Sort p, f, 3 in increasing order.\nAnswer: f, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfvqvqxqvvyvyv. What is prob of picking 1 y and 1 v?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (588\/10)\/(32\/80). Is v less than 587\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*b - 12 = 0, -42*m - 37*m - 41*m = -129*m + 2*b - 27 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 3*d + 4*d - 17 - 10*d + 39.\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 (base 12) in base 14?\nAnswer: 34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*q + 7980 = 0, -4*v + 2001 = 5*q - 5981. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w**2 - w + 2. Suppose -2*x - 2 = -6. What is f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 574.2854 decades to centuries.\nAnswer: 57.42854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/(d\/d**(4\/11)))**4 assuming d is positive.\nAnswer: d**(-116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6333887, 12667774, 19001661, 25335548, 31669435?\nAnswer: 38003322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**2\/2 - 15*o - 2. Let g(t) = t + 21. Let f(i) = -5*g(i) - 7*q(i). Let y(s) = -6*s**2 + 5. Determine f(y(b)).\nAnswer: -12*b**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.969322 litres to millilitres.\nAnswer: 9969.322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3791568 and 2929848?\nAnswer: 64456656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/4253 + 57676\/20912001. Let j = 912\/3781421 - -855304757312\/92966235285. Let u = j - r. Find the common denominator of u and 34\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5 - 146*n**4 - 954*n**3 - 2006*n**2 - 1724*n - 528 = 0.\nAnswer: -66, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 9:56 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.5, 1\/12, -0.01 in ascending order.\nAnswer: -0.01, 1\/12, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 10*m - 30*m - 3*m**2 + 12*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3061, -6249, -9437, -12625?\n\"Answer: -3188*r + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3564) - sqrt(3564)*-1) - sqrt(3564) - sqrt(3564) - (sqrt(3564) - -4*(sqrt(3564) - sqrt(3564)*1)))\/(3*(sqrt(80)*-2)\/sqrt(5))*-2.\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 542*o - 282*o - 490 - 266*o to the form g*o + z and give z.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + -3*-3*((sqrt(448) - (-1 + sqrt(448) + sqrt(448))) + sqrt(448))*-2*-6)*1)**2.\nAnswer: 11236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w - 1316. Suppose -5*c = h - 4*h - 1155, 0 = -c + h + 229. Let u = w - c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 0.11, -1, 7, 1\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + w + w = 31*w. Solve -82*b + 12*b + 630 = w for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -590, -1148, -1716, -2300, -2906?\n\"Answer: -n**3 + n**2 - 554*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u - 8*u - 2*u - 28*u - 11*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2454, -9825, -22110, -39309?\nAnswer: -61422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20263?\nAnswer: 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -59420, -0.3 in decreasing order.\nAnswer: -0.3, -16, -59420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*b = -414*b - 17. Solve 6*f - 13 = b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 70.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1275333 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9123*s - 36418*s + 9121*s + 9115*s + 9166*s.\nAnswer: 107*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4224)\/(-2640))\/(8\/102*30\/10).\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6 - 6*c + 2*c + 3*c. Let k be b(4). Solve 3*f - k*t = -t + 4, -3*t + 10 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 9064?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 350*q + 1992. Does 46 divide t(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2271.13 weeks?\nAnswer: 1373579424000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r)*(-r + 0*r + 2*r) + (-r - 1 + 1)*(0 + 0 + 2*r) + 3*r**2 + r**2 - 6*r**2 + 2 - 2 - 2*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411 + 139 + 132 + 140 - 6*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 4:01 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948835881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2986897557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9722.33 - -9718.330008. Let p = 0.04 + 3.96. Let m = p + r. Round m to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(18)\/sqrt(3))\/(sqrt(8)\/sqrt(16))*-3.\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 455\/6 + -364\/3. Let d be (-6 - 9828\/(-1640))\/((-12)\/(-10)). Let t = -1111\/656 - d. What is the common denominator of t and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let q(d) = -6045266*d**2. Give q(n(r)).\nAnswer: -24181064*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)*c*c)**(-1\/81)\/(c\/((((c*c\/c**(-1\/4))\/c)\/c)\/c)*c*c*((c**(-1)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-961\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -18. Suppose -d = -8 - y. What is the remainder when 35 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43629799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8424971 is divided by 1573.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 4469?\nAnswer: -4464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -3*t + 135, -25*t = -5*v - 20*t + 160 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 5. Let y be m(4). Let q = 1 - y. Find the first derivative of 2*c**2 - 3 + 0*c + q*c - c**2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 4*i**3\/3 - 10*i**2 + 16*i - 19. Find a, given that f(a) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**28*((w**40\/w)\/w*w)\/w*w*w*w assuming w is positive.\nAnswer: w**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5 - 7*q**4 + 50*q**3 - 990199*q.\nAnswer: 40*q**3 - 84*q**2 + 300*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, -2, -1030, 3, -33 in descending order.\nAnswer: 5, 3, -2, -17, -33, -1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (4 - 6 - (-113 + 71))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5789, -5570, -5147, -4418, -3281?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -43. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 12822*s**2 + 1. Let h be x(1). Let l = -256389\/20 + h. Calculate the common denominator of -81\/22 and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55742698.6 to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 246 = -3*n, 0*n = -4*a + 2*n + 508. Suppose 2*y - 190 = -4*t, 5*y = 5*t - a - 74. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -232278063*t - 130464677 wrt t?\nAnswer: -232278063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 27020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*l + 3*p, -2*l = -p - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1161*d**2 + 2346*d + 10. Determine a(2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*y + 225*y + 17*y to s*y + b and give s.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -713\/16, 1\/58, 3\/5 in increasing order.\nAnswer: -713\/16, 1\/58, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.293, -5, 0, -1.1, -1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/209 - -60\/19. Calculate the common denominator of 43\/7 and o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162571859.\nAnswer: 3, 14352739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + -5 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5531 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5 = 3*o, 5*o = -64*k + 69*k - 5. Solve -25 = 4*m + z, 5*m + 17 - 2 = k*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5187*l**3 - 20*l**2 - 16*l - 2.\nAnswer: -31122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103214 * 0.1.\nAnswer: 10321.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:06 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let b(t) = 13829*t**2 + 6*t. What is p(b(q))?\nAnswer: -27658*q**2 - 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.51 and -5.\nAnswer: -52.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*c = -22, 3*c - 22 = 4*j - 0*j. Let z = -4 - j. Suppose -2 = -d + z. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 2*p + 0*p + (0*p - 2*p - p)*(3 - 1 - 1) - 4*p - 10 + 10 + 4*p + 3*p - 4*p as m*p + a and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 724123627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/230650 and -11\/64582.\nAnswer: 1614550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -166 - 1035?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -396234\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 1. Let h(c) = 13*c + 83. Let o be h(-6). Suppose -2*x - 25 = -o*p, -15*p - 4*x = -11*p + 8. What is q(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m + 3. Let s(l) = 3 - 2*l + l - 3. Calculate -d(w) - 2*s(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.79 - 0.01. Let z = n + 0.80000075. What is z rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292065072*y - y**2 + 292065072*y + 3*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, e: 2, u: 1, b: 5, c: 1}. What is prob of sequence pce?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 13986?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128128 is divided by 7118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 16 = 3*y, -14*y = -10*y - 3*k - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + p)*(-44*p**2 + 1 + 14*p**2 + 25*p**2) in the form q*p**2 + y*p**3 + a + v*p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/703373 and 25\/7.\nAnswer: 4923611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -217*q**3 + 14*q**2 - 51*q - 29. Let w(b) = 77*b**3 - 5*b**2 + 17*b + 10. Give 6*v(k) + 17*w(k).\nAnswer: 7*k**3 - k**2 - 17*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14 = -1. Let y = -1 + i. Calculate the remainder when y is divided by ((-1)\/(-2))\/((-2)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 350100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let p = t + -2. Which is the closest to 0? (a) p (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 193581351 and 148.813.\nAnswer: 193581499.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (81 - (2 - 6))\/1 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 91?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 171604.1 micrograms?\nAnswer: 171604100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 85205834 and -3.\nAnswer: 85205831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119, -314, -509, -704, -899?\n\"Answer: -195*u + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 5578.\nAnswer: 11156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24134.87 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2674 and 22918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**3)\/x)**(7\/2)*(x**0)**(-2\/11) assuming x is positive.\nAnswer: x**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16742067, -16742070, -16742073, -16742076, -16742079?\nAnswer: -16742082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 501530 (base 6) to base 5\nAnswer: 2224134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31051692 and 5668166.\nAnswer: 714188916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.442111476 to three dps.\nAnswer: 2.442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 15) in base 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let z(c) = 25*c - 31*c + 26*c**2 + 1 - 6 + 10*c. Does 4 divide z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + a**3 - 2 + 0*a**3 - 4*a**3 + 4*a**3 to u + l*a**3 + q*a**2 + i*a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - h - 5, 2*k = k - 3*h - 15. Suppose s + 2*s - 12 = k. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5153\/4 + -1293. Which is the second biggest value? (a) -1\/2 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -336 + -402?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 14) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.33 - 248.67. Let k = r + 257. What is the biggest value in k, 2\/5, 9, 3\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 13*x - 97. Calculate z(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -42, -63, -82, -99, -114, -127?\n\"Answer: g**2 - 26*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0652 less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44352.097937 - 44352. Let r = -122.902 - -123. Let o = f - r. Round o to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 12. Suppose v*f - 20 = r - 9, 2*r + 12 = 3*f. Let z(i) = 0*i**f - 3*i**2 - i**2. Let o(m) = -m**2. Determine z(o(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 39*b**6\/2 + 1293*b**2\/2 - 425*b. What is the first derivative of y(a) wrt a?\nAnswer: 2340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1285173*r - 1129944.\nAnswer: -1285173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -476, -1906, -4292, -7634, -11932, -17186?\n\"Answer: -478*c**2 + 4*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 3*j + 2*j)*(-4*j + 5*j**2 + 4*j) - 6*j + 4*j**3 + 6*j as o*j + b + r*j**3 + h*j**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 + 66380*j + 6*j**2 + 8*j**2 + 3*j**2 - 66380*j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131504 - 27?\nAnswer: 131455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 3*f**2 - 2*f + 3. Let p be z(2). What is t in 5 - t**4 - 3*t**2 - 4*t + 3*t**3 + t**p - 1 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/7 + (-13506)\/(-84)*6. Suppose -5*r + 895 + g = -t, 2*r = -t + 744. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238907 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2186462071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1221329762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) - 128\/(-3). Let n be r\/28*(-32)\/6. Let w = 8.847 - 8.547. Sort 0.2, n, w in ascending order.\nAnswer: n, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2. Let m(w) = 115403112*w. Calculate s(m(r)).\nAnswer: 93225147814991808*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 6. Determine h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*1*1) + sqrt(68))\/(sqrt(256) - -2*sqrt(256)).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, 2, 2\/217, 3\/2.\nAnswer: -91, 2\/217, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(-1\/4))**(1\/33)*(y*y*(y\/y**1)\/y*y*y)\/(y\/(y\/y**(-2))))\/((y*y*y**(2\/5))**(-6)*(y\/y**7)\/y**6) assuming y is positive.\nAnswer: y**(1889\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29295 and 42147?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 212142 divided by -35357\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -367, -735, -1091, -1429, -1743?\n\"Answer: w**3 - 375*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-124)\/620)\/((-21)\/90). What is the closest to -19 in 0.12, q, -2\/13, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 8:40 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(20\/72))\/(((-8778)\/(-350))\/19).\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3923 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -83*h + 440. What are the prime factors of o(-9)?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/332*(3 + -6)\/12. Let x = l - 2297\/2988. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 - -0.9. Let y = -13679 - -13679. Sort y, u, -9.9.\nAnswer: -9.9, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(99) + -1).\nAnswer: -12*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/210*w**5 - 1\/168*w**4 + 0 + 0*w**3 + 5*w**2 + 0*w - 1\/840*w**6. Find k, given that s(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*4*(sqrt(84) - sqrt(84)*-4))\/(-6*-3*-2*sqrt(12)))**2 + 0.\nAnswer: 700\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 9:57 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 91*j**2 + 2*j - 2. Suppose 2*r - 5 + 3 = 0. Is t(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 131 + 175 - 65 = -k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*y = -47*y + 7 + 32 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - z = z - 14, -5*r - 4*z + 32 = 0. Suppose -l + 20 = -0*l - r*w, -12 = 2*l + 5*w. Solve 2*c + c = -l*t - 29, 3*t - 3*c = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b992 (base 12) to base 7.\nAnswer: 113342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65279906*h**2*q**3 + 4310*h*q**3 - 2*h - 980*q wrt h.\nAnswer: 130559812*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0289376102 rounded to 4 dps?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 453 + -452. Which is smaller: -2\/13 or z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**3 - k**2 - k - 1. Let c(f) = -774*f**3 - 4*f**2 + 115*f - 3. Let w(l) = c(l) - 3*q(l). Find the third derivative of w(u) wrt u.\nAnswer: -4770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-15))\/((-2)\/(-5)). Let i(r) = 2*r + 26*r**n + 4*r + 6*r**2 - 5*r. What are the prime factors of i(1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 106 = p + 130, 3*a - 4*p = 251. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19129 and 1551.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-4368)\/806)*4 + -33.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 1\/60*x**5 + 0 - x**2 + 0*x - 4\/3*x**3 - 5\/12*x**4. Let b be p(11). Solve -6*l = -b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*m)*(5*m - 2*m - m) + (0 + m + 0)*(-169*m + 94*m - 215*m) in the form l*m + s + q*m**2 and give q.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 37*d. Let u(x) be the first derivative of -2*x**3\/3 + 18*x - 238. Give a(u(l)).\nAnswer: -74*l**2 + 666","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*w = 132*w - 28. Solve 5*k + s = 16, 4*k + 4*s + s + w = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 2, i: 1, f: 1}. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80688.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/24*3)\/((-425)\/680))\/(-130)\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633147 is divided by 17112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:43 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*f**6 + 3322667*f**4 - 110116268*f**2 wrt f?\nAnswer: -2880*f**3 + 79744008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*p + 66 = 0, -368954 + 369062 = -28*a + 2*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.115 * 2.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 11*c + 26. Give n(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110100000 - -1001011010010100?\nAnswer: 1000001011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 1. Let l = x - -8. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 = -5*j. What is the biggest value in j, -7, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 110*n + 133 = 625 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672634?\nAnswer: 2, 336317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 584 + -586.865. Let f = q - 0.135. Which is the second biggest value? (a) f (b) 2 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 2*v + 16. Let y(p) = p**2 - p + 8. Let g(q) = -o(q) + 2*y(q). Let l(d) = d - 767. Determine l(g(s)).\nAnswer: 3*s**2 - 767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-6))\/(5\/(-15)). Let v(n) = n + u*n - n. Let l(s) be the third derivative of s**4\/24 + s**2 - 16*s. Calculate l(v(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) 421.5 (c) -1 (d) 5 (e) -5 (f) -0.1 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -297\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**4 + 3*m**3 + 6*m**2 + 3. Let i(c) = -2*c**4 + 4*c**3 + 7*c**2 + 4. Let k(w) = -3*i(w) + 4*r(w). What is the third derivative of k(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 1, 13755, 9 in decreasing order.\nAnswer: 13755, 63, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -31) + 221 + -366 + 176.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12852*m - 282786. Calculate c(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*0\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4.9+708905618\nAnswer: 708905622.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, y: 1}. Give prob of picking 3 g and 1 y.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*(-3)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s + 515 = 0. Let m = 156 - s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -14, -51, -122, -239, -414, -659?\nAnswer: -986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1958892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1124431 and 6872.\nAnswer: 8995448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, -44 in ascending order.\nAnswer: -44, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*g + 6, -3*j = -0*j + g - 9. Determine h, given that 54 - 5*h**4 - 27*h**2 + 5*h**5 + 32*h**2 - 25*h**j - 34 + 40*h = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 q when four letters picked without replacement from {b: 1, l: 2, f: 1, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + j + 1. Let y be p(-1). Let x(t) = t - 1. Let u(d) be the third derivative of d**4\/12 - d**3\/3 - 271*d**2 - 1. Determine y*u(r) - 7*x(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2, 0.1, 0.39, -0.4 in descending order.\nAnswer: 0.39, 0.1, -2\/9, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -10*w**4\/7 - 16*w**3\/7 + 26*w**2\/7 = 0.\nAnswer: -13\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884176 and 6278.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 331? (a) 0.4 (b) 6 (c) -2\/9 (d) 0.11 (e) 46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -10202?\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + v = 2*v - 4, -4*x + v + 20 = 0. Let m(w) = -9*w + 4 + 8*w - 4. Determine m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11968132*n**2 - n - 38281708.\nAnswer: 23936264*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) 0.013 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/10*1870\/(-82280).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.4 (c) 0.371 (d) 3\/5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 2.4, 5, -0.13001, 1\/2?\nAnswer: -0.13001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.1593 + -0.1593. Let n = 4.5 - 4. What is the second biggest value in -2\/13, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4085240)\/87185)\/(64\/14).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442 + 420?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.2. Let p = -281 + 281.6. Let f = p - y. Put f, 5, 1\/6 in increasing order.\nAnswer: 1\/6, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 5. Let k be q(2). Is 21\/3 + k + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 451 - -2?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**5 + 2475*z**4 - 3530*z**3 + 105138123*z**2 wrt z?\nAnswer: 300*z**2 + 59400*z - 21180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442341 = -92*b + 205523. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from zzjzhjmjzjhjj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -6 - 29\/2)\/(-3*6\/852)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-20)*i)\/(i**(-19)*i*i))\/(i**(-3\/4))**(2\/23) assuming i is positive.\nAnswer: i**(-43\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxexxxxexx. What is prob of picking 4 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 5:50 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 12*o**2 + 214*o + 172. Let v(f) = -4*f**2 - 71*f - 58. Let h(z) = -3*m(z) - 10*v(z). Determine d, given that h(d) = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 4, m: 2}. Give prob of picking 1 w and 1 e.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*o**2 + 5 - 506*o**2 - 5 + 156*o**2 + 150*o**2.\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/25561 and 63\/5?\nAnswer: 127805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (56 - 60 - (-2 - -17)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from {s: 1, h: 5, w: 1, p: 7, o: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 4*z + 39*z**4 - 38*z**4)*(-10*z + z - z).\nAnswer: -10*z**5 + 80*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 30*f**3 - 8*f**2 - 22*f - 5. Let n(v) = -26*v**3 + 9*v**2 + 19*v + 4. What is -5*d(b) - 6*n(b)?\nAnswer: 6*b**3 - 14*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, -4 in descending order.\nAnswer: 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/187 - 2\/17. Let p(o) = o + 4. Let u be p(-4). Suppose 2*g = -u*g. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.9 - 18.9. What is the closest to -2\/3 in x, 3\/5, -3, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 5, -1\/8, -99.4, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*8135.\nAnswer: 146430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409*a + 696 = -351*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4770 is divided by 232.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19489024 and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163\/((5 - -2) + (-1866)\/267) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -32. Suppose -28*x + 24 = -m*x. What is the greatest common factor of x and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5 = -4*f, -2*d - 10*f + 21 = -13*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104) + -1*sqrt(104) + sqrt(104)) - sqrt(104)) + sqrt(104))*-3 + sqrt(104)*-3*2)\/((5*sqrt(256))\/(1*sqrt(50) + sqrt(50))).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = 8. Let m be n*(-3)\/(6*1). Let c be m\/(-6)*2\/(-1). What is the third smallest value in c, 0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 997868*c - 997867.\nAnswer: -(c + 1)*(c + 997867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 23*s - 8. Let z be w(8). Solve b - 2*b = z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1747127, -1747054, -1746981, -1746908?\nAnswer: -1746835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 3*v + 8*v + 27 - 21 - 2*v. Suppose 3*b - 4 = -d, -3*b = -4*d + 2*b - 18. Let r be ((-2 - -1)*-14)\/d. Determine j(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167 + 283. Does 29 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 0.197574104?\nAnswer: 3.802425896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.119 + -3144\nAnswer: -3143.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2. Let p(o) = -4*o - 4. Let q be p(-2). Let f(i) = -10*i + 10*i + q*i**2. What is b(f(g))?\nAnswer: 64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 2953?\nAnswer: -2953.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 3014, 6805, 12118?\nAnswer: 18953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/315 and 7\/9.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 4, n: 3}. Give prob of picking 4 o.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:19 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 12*p + 384. Calculate the greatest common divisor of p and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 550 = -3*z. Suppose -i - z = 4*i. Let q = i + 93. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/19 + 4*f**2\/19 + 2*f\/19 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/11 + 35\/11. Suppose 5*b - 2 = y*b. Sort -5, b, 5.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 9*o - 69. Let u be x(4). Let n(q) = q**2 - q. Let k(l) be the third derivative of -l**5\/15 + 5*l**4\/24 + 25*l**2. Give u*k(h) - 5*n(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-6 - 5 - (-5 - (-27 - -7))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 - 1122*u**2 - 109251*u - 803736 = 0.\nAnswer: -183, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*f - 34*f**2 + 16 - 72*f + 25*f + 2*f**3 + 28*f - 15 to l*f**3 + j*f**2 + r + g*f and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 441?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**5 - 576*t**4 + 13776*t**3 + 537920*t**2 = 0. Calculate t.\nAnswer: -20, 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1935\/(-8) + (-26)\/208. Let f be (-4)\/22 - 770\/p. Solve 0 = -3*x + r - 5 + 1, f*r = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let c = j - 0. Let s = c + 4.0000032. What is s rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/((b\/b**21*b)\/b)*b))\/((b\/(b\/(b*b**13\/b)))\/b))\/(b**(16\/5)\/b**(-4\/3)))**(-42) assuming b is positive.\nAnswer: b**(7882\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + l - 16, l = 115*o - 240*o + 124*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 149. Let v = z - 46. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41019519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16270049 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/23, 1.7, -114\/11.\nAnswer: -114\/11, 26\/23, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b - 1. Let i(p) = 1. Let a(z) = c(z) + 4*i(z). Let m be a(-8). Let f = -49 + m. Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2810*f - 296690 + 24120 = 0 for f.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36948140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*k**2 - 57*k**2 - 60*k**2 + 25*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from mmmmvmmmmmmlmvlvml?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14021 - 2916359\/208. Let r = 5467\/1040 + q. Find the common denominator of r and 59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 239 = -272. Solve -24 = -2*p + 5*p - l*s, 5*p + 3*s = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37363*j**2 + 2*j - 775626.\nAnswer: 74726*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 2. Let w(o) = 3*o - 3. Give -4*g(i) - 3*w(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = -2*l. Suppose 150 - 33 = 3*q. Suppose q = l*j - 3*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*p**4 + 256*p**3 - 724*p**2 + 48*p + 432 = 0. What is p?\nAnswer: -2\/3, 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88904791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let k(h) = 5*h**3 - 8*h**2 - 21*h + 3. Let m(t) = 11*t**3 - 17*t**2 - 47*t + 6. Let a(p) = -9*k(p) + 4*m(p). What is a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157895.2 rounded to the nearest 1000?\nAnswer: -158000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1 - (-9)\/9. Solve -4*i + 2*l = g, 2*i - 5*i = -3*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13493?\nAnswer: 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w - 1. Suppose 5*p - 4*x - 58 = 10, -5*x = p - 31. Suppose -13*t - p + 68 = 0. Suppose 5*u - 13 = -3*r, t*u + r - 1 - 8 = 0. Determine v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -1, -969, -135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862.3227 years to millennia.\nAnswer: 0.8623227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*1*(-1610)\/(-161)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/2)*(w\/(w\/(w**(1\/2)*w)))\/w*w**(-4\/3)*w**(-4\/7)\/w assuming w is positive.\nAnswer: w**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h + 140 - 142 - 11*h - 11*h + 3*h - 137*h**3.\nAnswer: -137*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*j = -7, 0*c - 11 = -5*c + 3*j. Is 367380\/25 + c - (-6)\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1101101101100110?\nAnswer: 1101101101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/14 - 1)\/(74 - 17676664\/238882)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -735.\nAnswer: -735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/7)*p*(p**(-5\/7)\/p)\/p*p**(-9\/2)*p*p\/(p**(-3\/11)*p) assuming p is positive.\nAnswer: p**(-871\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (200\/(-6))\/((-2)\/37080). Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, k: 1, p: 4, e: 3}. Give prob of sequence ek.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*v - 58*v + 20*v**2 - 17*v**2 + 3 + 2*v**2 + 3*v**2 - 3*v**2 + (5*v - 5*v - v**2)*(1 + 0 + 0) + (3*v - 4*v + 2*v)*(-3*v - 2*v - v).\nAnswer: -2*v**2 - 117*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -76*j - 16. Let a(g) = 5*g + 1. Let p(w) = 16*a(w) + x(w). Let f(u) be the first derivative of -5*u**2\/2 - 2. What is f(p(l))?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -q - 3*n, q + 4*n = 5*q - 444. Suppose -8*x - 594 + q = 0. Calculate the remainder when (x\/(-25))\/(1\/5) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13464, -8603, 4596, 30303, 72688, 135921, 224172?\n\"Answer: 695*k**3 - k**2 - k - 14157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0. Let w = 0.9 - 1. Let x be 1*-1 + (3 - 1). Which is the second smallest value? (a) x (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 33*y**3 + 2*y**2 - y. Let n be m(3). Suppose 0 = 5*s - 0*s - 10, n = 4*w + 3*s. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011110 + 1000111111?\nAnswer: -10000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -861\/8. Let g = 2.2 - 0.2. Which is the third biggest value? (a) g (b) 47 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (32255 - -65) + 3*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57284, 57267, 57250, 57233?\n\"Answer: -17*n + 57301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1119*z + 25. Let y(x) = 2*x - 6. Calculate r(c) + 5*y(c).\nAnswer: -1109*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626 divided by -101?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-2))\/(27\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/x**2*x*x)\/x))**11*(x\/(x**(-2\/21)\/x))\/(x\/(x\/(x\/(x\/x**(-1))*x)))*(x**(1\/3)\/x**(-1))\/(x**(-4)*x**(-7\/2)\/x) assuming x is positive.\nAnswer: x**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*2*-4 - sqrt(125))**2 + (-1*(sqrt(125) + 0 - sqrt(125)))**2 - -3*((sqrt(360)\/sqrt(128))**2 - sqrt(45)).\nAnswer: -9*sqrt(5) + 162135\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 342*s - 1764*s + 904*s + (4 - 3 - 3)*(s + 0*s - 2*s).\nAnswer: -516*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/63*6\/40.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33207170 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 29. Calculate the lowest common multiple of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/38825 - 240708\/38825. Let w = -17 + 10. Is w bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109 + 0?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871128?\nAnswer: 2, 7, 33413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + y**2 + (2*y + 4*y - 3*y)*(-2*y + 4*y + 7*y)*(0 - 2 + 0).\nAnswer: -53*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 2 + 94 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 922788 and 15281896.\nAnswer: 16204684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*i**2 + 48*i**2 + 42*i**2 + i**3 - 2 - 148*i**2 + 3*i as t*i**3 + s*i**2 + k*i + h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**2\/2 - 13*j + 3. Let t be w(-7). Let r = t - -23. What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + 10 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 - 86 = 5*u - 3*l, 0 = -u - 5*l + 24. Suppose 23*y + 321 = u*y. Suppose 0 = -k + 2*j + y - 36, 0 = 4*k - 5*j - 1140. Is 40 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from emmemuuuuumueuuu?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4\/2 - 201*c**3\/2 + 843*c**2\/2 - 639*c\/2 = 0.\nAnswer: -71, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 2:41 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 4*j**3\/3 + 2*j**2 + 139*j. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -21. Calculate the remainder when 25 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 4532.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jjrrsmjjjjmjj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5)*-67*(-108)\/9648?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2. Let x(y) = 77*y**2 + 73*y**2 + 2*y - 87*y**2. Determine x(r(u)).\nAnswer: 1008*u**4 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 c when three letters picked without replacement from {p: 17, c: 3}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 664 + -66. Let i = -583 + a. Solve 3*r - i = -2*q - q, -5*q = -r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 3*m**2 - 4*m. Let w(i) = -i + 3. Let g be w(0). Let f be s(g). Suppose -5*r + 30 = 5*z, -r = 2*r - f. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148743 (base 10) to base 14\nAnswer: 3c2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k + 4*k. Let a be (-1)\/k - 33\/(-12). Let p(l) = 2*l**3 - 3*l**2 - 2*l - 4. Is 10 a factor of p(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s**2. Let p(d) = -90*d. Give o(p(v)).\nAnswer: -170100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3348028 is divided by 544.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99487075 divided by 5.\nAnswer: -19897415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 55\/9 (c) 0.038 (d) 3 (e) -6\/5 (f) -1\/8 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (44 - 22) - (5 - (3 - -2) - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 11*l**2 - l - 14. What is g(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 8 - 26 - (-19 - 0)) + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 7)*(608 + 299*g - 150*g - 147*g)*(0 + 1 - 2).\nAnswer: -2*g - 608","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 + 3*d + 4. Let v(x) = -18*x**2 - 8*x - 11. Let p(r) = 4*v(r) + 11*w(r). Let y(i) = 2*i**2. Give p(y(t)).\nAnswer: -24*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a + 364*a**3 + 1938*a**2 + 1941*a**2 - 3879*a**2.\nAnswer: 364*a**3 + 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2436807 or 2436790?\nAnswer: 2436790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 9:36 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Let j = 0.3 - -0.2. Let h = 36 + -250\/7. What is the closest to h in x, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37974 is divided by 12613?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2 + 1 - 3 + 1 + c + 0. Let h = -5 + 11. Give k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*f + 4)*(19 - 7 - 15).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 4. Let c(n) = -4*n**3 + 2*n - 2. Let g be c(2). Let a = g - -55. Suppose a - 1 = 4*b. Determine s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) -12 (c) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8938789 - 3?\nAnswer: 8938786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - 37 - (-7 + 12 + 14 + -6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(1*-2 + 1). Let i be 269\/68 + 28\/(-7). Let n = 97\/884 - i. Is q at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51895, 51898, 51903, 51910, 51919, 51930, 51943?\n\"Answer: p**2 + 51894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 2. Let i(o) be the third derivative of o**4\/12 + o**3\/6 - o**2. Suppose 577 = 44*b + 225. Determine b*i(z) + 3*v(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -58.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + l + 2 = 0, -7 = 2*n - n - 4*l. Let t(z) = -n*z + 5*z - z. Let v(y) = 2*y. Determine t(v(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-27 + 17) - (1 + (4 - 2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/306 and -133\/744?\nAnswer: 37944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*m + 11670. Let r = m - -2912. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + s + 1 = 0, -5269 = -5*p - 5*s - 5244 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53786368 to the nearest integer?\nAnswer: 7334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5*-5681\nAnswer: 28405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68968.\nAnswer: 2, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*30\/(-9). Suppose 3*g = 3*j - g - 30, -5*j = w*g - 50. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -o + b, 4*b = -o + b - 9. Let j = o + 13. Calculate the smallest common multiple of ((-6)\/j)\/(2\/(-14)) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1187 (base 11) to base 8\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769022 is divided by 1196.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - c. Suppose -48*x + 18 - 210 = 0. Let n(z) = -2*z**3 - 4*z**2 - 3*z. Let y = -15 - -16. Determine x*v(r) + y*n(r).\nAnswer: -2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -15. Are b and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a = -7*a - 168 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 423723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 11*s + 14. Let i be k(-10). Suppose i*z - 6 = z. Suppose -z*w + w + 15 = 0. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/30 and -107\/1164?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*y + 30. Let z(t) = t**3 + 14*t**2 + t + 17. Let o be z(y). Factor 0*b**o + 2\/3*b**2 + 0 - 1\/3*b + 1\/3*b**5 - 2\/3*b**4.\nAnswer: b*(b - 1)**3*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.864 + -3.694. Round m to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181859786.98 rounded to the nearest ten thousand?\nAnswer: -181860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 69, 8, -53?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o**2 + o - 1. Let l(x) = -2*x**3 + 4*x**2 + 178*x + 4. Calculate l(z) + 4*r(z).\nAnswer: 2*z**3 + 182*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 290960, -0.3, -2 in decreasing order.\nAnswer: 290960, -2\/9, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/10 and -12\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c + 610*c = -433*c + 11388 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2826498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49359860 divided by 5.\nAnswer: -9871972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/40 - ((-54)\/15 + 2). Let y be (-1)\/1*(1 + -16). Solve -2*m - l*n = -m - y, 20 = 4*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61.4 + 61. Let j = 2 - 1.9. Let i = 0.9 + j. Which is the closest to i? (a) d (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a hour in seconds?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 + 90*t**4 - 540*t**3 + 1370*t**2 - 1455*t + 540 = 0. What is t?\nAnswer: 1, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p + 24 - 14 + p. Is w(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-9))\/(84\/9)*(11 - 1). Factor b*y + 0 + 3\/7*y**2.\nAnswer: 3*y*(y + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -242b6c - 4e?\nAnswer: -242bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -539*j**4 - 553 wrt j.\nAnswer: -2156*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 4:33 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -130 and 10727.\nAnswer: -1394510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yynr when four letters picked without replacement from jjjjyyyngrrngjnyj.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-6) - (-2)\/4. Let f = 10 - w. Let u be (-27)\/15*20\/(-6). Solve -f*y + u*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6 and 4 + 3986\/(-912) - 6\/18.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*p - 44*p - 19*p + 1118 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457*y + 12443 = 480*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43793018221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 597*s + 4006*s - 266974 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 31931 = 815930. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -7\/3*x**3 + 0 + 1\/20*x**5 + 6*x - 13\/12*x**4 + 19\/2*x**2. What are the prime factors of z(14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.694636334 rounded to three decimal places?\nAnswer: 0.695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3\/3*(-3)\/(-9)*-26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 1, r: 2, c: 4, k: 1}. What is prob of picking 1 k, 1 d, 1 w, and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g - 2 + 2 + 29*g - 50*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11211 - -10424?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**3*v**4 - 93*f**3*v**3 - 15*f**3*v**2 + 5*f**3*v + 21*f wrt v.\nAnswer: 96*f**3*v - 558*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-41)\/(b\/b**0*b*b*(b\/(b\/(b\/(b\/((((b\/(b*(b\/(b**(4\/7)\/b))\/b))\/b)\/b)\/b)))))\/b*b)*(b**(-8)*(b*b**7)\/b)**(-13) assuming b is positive.\nAnswer: b**(-193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7448083 rounded to 2 decimal places?\nAnswer: -11.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1540\/(-650) + (-12)\/30. Does q = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**3\/3 - 5940*p**2 + 6612704*p + 19855936\/3 = 0.\nAnswer: -1, 2228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27) - (-1 + sqrt(54)\/sqrt(2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-98))\/(3\/(-8))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 0.06, -5, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 1863618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 103594 times 3\nAnswer: 310782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/8 + (-2)\/1)*100\/100.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 75*l + 902. Let j(f) = -18*f**2 + 228*f - 2707. Let g(s) = -7*h(s) - 2*j(s). What is the derivative of g(d) wrt d?\nAnswer: -12*d + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 4*b**2 - 58*b - 19. Let d = 340 + -330. Let l be h(d). Solve 0 = -i + l + 1, 4 = -2*s + 5*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-30) + 154\/30. Suppose -3*f + 7 = 5*s - o, 4*f - 16 = 3*s. What are the prime factors of 2\/4*3*f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 13. Suppose -3*a - 3*k + 24 = 0, -8 = 95*a - 93*a - 2*k. Give w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361669.\nAnswer: 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 14 = 2*y. Let a = 4748 + -4745. Solve -2*q - 3*u - y = 0, -a*u - 7 - 15 = 4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z + z)*(73 + 265 + 67) in the form a + t*z and give t.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 12*u**4 - 3*u**4 + (0*u + 0*u - 2*u**2)*(-3*u**2 + 0*u**2 + 4*u**2).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w*w**21)\/w)\/((w*w*w**(-12)*w*w)\/w*w)*w**(-2\/45)\/(w**0*w*w) assuming w is positive.\nAnswer: w**(1303\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g\/((g\/(g*g**(-2\/5)))\/g))**(3\/10)*g**(2\/23)\/(g**(-1\/2)*g*g))**19)**12 assuming g is positive.\nAnswer: g**(-43662\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/1 - 1. Let l = 104.033 + -104. Let n = l + 0.047. Which is the closest to n? (a) -2\/13 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2912 and 81\/8008.\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 2*i + 2. Let o be ((-66)\/4)\/((-4)\/8). Let p(t) = 15*t**2 - 33*t + 33. Calculate o*v(u) - 2*p(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -4, 169, 462, 905, 1528?\nAnswer: 2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (10 - -3) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1421*x = 1422*x + 5. Let w(d) = -d**2 - 5*d + 3. Determine w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from qiqivhiqqqhhqviqjjij?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22042, -43632, -65200, -86734, -108222?\n\"Answer: 2*k**3 - k**2 - 21601*k - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 + 2*k**2 - 3*k**2 + (-1 + 1 - 1)*(-2*k**2 - k**2 + 5*k**2) + 5*k**2 + 6*k**2 + 0*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8608177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) 2 (c) 9.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3705*b = 413*b - 2303*b + 3892*b - 313885 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 2:36 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13293083 take away 8289?\nAnswer: -13301372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 + 1515 = -172*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 63 = -3*a, -2*i - i - 5*a = -185. Suppose i = 67*f - 64*f. Calculate the smallest common multiple of 4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbj when three letters picked without replacement from {b: 2, j: 18}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by 3\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, 8, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-315)\/(-75) - 128\/(-224)*(-1036)\/10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6652 + 6657. Solve 104*p - 109*p - d = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3496958, -3496933, -3496910, -3496889?\nAnswer: -3496870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)*z)\/(z\/(z**(2\/11)*z)))**(-3\/22)\/((z**1\/((z*z**(-5))\/z))\/(z\/((z\/(z*z**(1\/5)*z))\/z)*z*(z**(2\/13)*z)\/z)) assuming z is positive.\nAnswer: z**(-203293\/110110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23211 + 8442 - 11280 - 19226 + 6395)*(-2*f**5 + 2*f**5 + 2*f**5).\nAnswer: -77760*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-4) - 1394\/(-8). Suppose -n = -3*k - 22. Suppose 2*p = 4*g + 2, 4*p + 4*g - k - 13 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -74*r + 90 - 37. Factor -r*w**2 - 16\/5*w - 6\/5.\nAnswer: -2*(w + 1)*(5*w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11533.06 + -11531. Which is smaller: 0.4 or g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 106 - 12*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-12 - -43 - 19 - 1) - -17?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**3 + 0 + 0*m**2 - 1\/4*m**4 - 4*m. Let x(w) = -2*w. What is x(q(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574, -634, -792, -1096, -1594, -2334, -3364, -4732?\nAnswer: -6486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 9. Let b be t(-8). Suppose 4*p - 67 - 61 = 0. What is the remainder when p is divided by 4\/(-2) + (12 - b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 3*x + 2. Let b(k) = 2*k**2 + 2*k + 1. Let h be b(-2). Let o(z) = -3*z**2 - 5*z - 4. What is h*y(r) + 3*o(r)?\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 30248*a + 8. Let q be (135\/(-35) + 3)\/((-6)\/28). Let h be f(q). Round h to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 2, p: 2, n: 3, c: 3, r: 1}. Give prob of sequence in.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 570800, 570799, 570798?\nAnswer: 570797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29478.5 to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -414 divided by 46\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 29314 + 9157 = 0. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + 60. Suppose 16 - b = -5*o. Let t = 21 - o. Solve 0 = -4*z - 2*r - 8, 2*r + 15 = -t*z - 3*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2 (c) 23 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -73738*w. Let i(b) = 327*b. Let c(s) = -5*a(s) - 1127*i(s). Let o be (-170)\/(-272) - 1\/(-8)*3. What are the prime factors of c(o)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 36 - 29 - 6*w + 15 - 17*w. What are the prime factors of n(-9)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shzhzm. What is prob of picking 1 h, 1 m, and 2 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301344 + 204?\nAnswer: -301140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2dbe9c (base 16) to base 10.\nAnswer: -2997916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*h - 38 = 0, -22*l - 2*h + 46 = -17*l. Suppose 3*r + 4*n - 8*n = 0, -l*n = -3*n. Solve r = -6*z + 7*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6898274 + -23294.807\nAnswer: 6874979.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Suppose 0 = 4*s - 4, 4*m = 3*s + 3 + 2. Let y(t) = -5*t**m + 2*t**2 + 3*t**2 + 2*t**2. What is c(y(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/5*-9*25\/(-270).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 - 141. Suppose y + 55 = 8*l. Is 5 a factor of 12*1*(0 + 231\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from uuuuunuunnnuun?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 76, 132, 210, 316, 456, 636?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4450*f**2 + 201 wrt f.\nAnswer: -8900*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4 - 54*d**3 + 12096*d**2 - 24026*d + 11985 = 0.\nAnswer: -141, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + u - 21, 2*y - 33*u = -32*u + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13661148 and 37568157.\nAnswer: 150272628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8283 + 82923\/10. Let p be 172\/(-245) - 2\/5. Let g = p + 439\/49. Find the common denominator of k and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -339 - -300. Let n be 6 - (q\/12 + (-12)\/(-48)). Solve 4*d + 7 = 5*z, 5*d - 2*z + n = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*w)\/w*w**(2\/11)*w*w*w\/(w*w\/(w*w**(-1\/3)*w))*(w*w**(2\/19))\/w assuming w is positive.\nAnswer: w**(896\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15228*n + 7819*n - 32936 = -7767*n for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.1 (c) 4 (d) -120 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, x: 5, z: 3, l: 1, s: 1, b: 2}. What is prob of picking 1 b, 1 s, and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (317 - 1)*(-1)\/(-2). Suppose 4*l + j - 2 = 0. Let h = l + 62. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 9*j**3 + 249*j**2 + 212*j**2 - 461*j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250873, 501748, 752623?\n\"Answer: 250875*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*n + 3*n + 4*f, 0 = -3*f - 9. Suppose n = -5*k - 10, 4*k + k = 2*u - 16. Find the second derivative of -5*b + u*b**3 + 0*b**3 + 2*b + b wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1564, 3079, 5598, 9115, 13624, 19119, 25594, 33043?\nAnswer: 41460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*k - 12. Let c be k\/5 + 8\/10. Let t be (22\/6 - 3)*27\/(-36). Is t equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3201 - -3?\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/180 + (368\/276)\/((-30)\/(-27))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**3\/3 + 3*z**2\/2 - 3*z + 1. Let n be p(-3). Suppose r = 4, 2*q + r + 36 = n*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 628044 + -628043.97. Let w = 237\/4 - 59. Which is the nearest to w? (a) g (b) 6\/5 (c) -1\/12 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.862648 decades to years.\nAnswer: 8.62648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13021 - 1003131010?\nAnswer: -1003210031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/((-123)\/(-1066))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-7)\/(28\/(-8))). Solve q = -0*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682 is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2331.\nAnswer: 2\/2331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19075570051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 640, 630, 592, 514, 384, 190?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**3\/3 - m**2 + 2*m + 3. Determine a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3564 divided by -6562.\nAnswer: -1782\/3281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:11 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let u(o) = 3*o - 4. Let c be u(l). Solve q = c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 179904 + -12279892.\nAnswer: -12099988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**8\/210 + 2*w**7\/105 - w**6\/36 + w**5\/60 - w**3\/2 + w**2. Let i(b) be the first derivative of a(b). Factor i(y).\nAnswer: -2*y*(y - 1)*(2*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -20. Suppose 3*z - q*t - 9 = -7*t, -t = 4*z - 15. Solve -z*w - 6 = -6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/5 + 2414919*q**2\/5 + 154564032*q\/5 + 2473073664\/5.\nAnswer: -3*(q - 805037)*(q + 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000521678 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -198e?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49700 and 2?\nAnswer: 49700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-17)*q)\/(q*q\/(q*q**(-34)))*q*(q*q**(-14\/5))\/q*q*q*q*q*q\/q**(-26)*q*q)**(-45) assuming q is positive.\nAnswer: q**891","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 4*j - 4. Let i(t) = t**3 + t + 5. Let q be (-4 - (-7 + 3))\/(-2). Let m be i(q). What are the prime factors of z(m)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5904501.\nAnswer: 3, 593, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 9 = -5*o, 72*q - 16 = 78*q - 4*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pizvt. What is prob of sequence itzv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2057))*-4 + 2 - (-3 + -1*sqrt(833) - (-1 + sqrt(833) + -1)))**2.\nAnswer: -420*sqrt(17) + 15349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -199.03475.\nAnswer: 201.03475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66203 - 8?\nAnswer: 66184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 9, 8, 7, 6, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, w: 1, m: 3}. What is prob of sequence muw?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**6*b**(-1\/3)*b*b)\/((b\/(b*b**(1\/9)*b))\/b*b*b*b**(-2\/3))*(b\/b**5*b*b*b**(-3))**(-35) assuming b is positive.\nAnswer: b**(1552\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813 + 19*p - 1709 + 896 - 26*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 86.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l + 198 = -g, 12 = -1038*g + 1038*g + 3*l + 2*l - 13 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -8*v - 503. Calculate the smallest common multiple of v and 23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48083.06ug to grams.\nAnswer: 0.04808306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4403.106m to micrometers.\nAnswer: 4403106000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14376 (base 9) to base 16.\nAnswer: 263d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 2. Let p(l) = -13. Let i be (-1)\/(-1) + 1 + 7. Let z(w) = 3. Let y(k) = i*z(k) + 2*p(k). Let s = 4250 - 4249. Give s*j(m) + 3*y(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 52, 60, 72, 88, 108?\n\"Answer: 2*h**2 + 2*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169298153 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 42. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*a**3 - 185*a**2 - 2703*a - 2 wrt a?\nAnswer: 102*a - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23553917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - l - 7, 0 = -3*l - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 8, 9?\n\"Answer: d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 26. Suppose f = -f + v. Suppose -4*n + 13 = r, -3*n = -3*r - r + 14. Calculate the lowest common multiple of f and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 1 l when three letters picked without replacement from atxtlatt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 508. Let w be k(0). Suppose -w - 422 = -5*m. Let n = -39 + m. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 14414*p - 114. Let n(l) = -2058*l + 16. Give 6*c(z) + 43*n(z).\nAnswer: -2010*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 454*s**2\/3 - 160411*s\/2 - 1855\/3.\nAnswer: (s - 530)*(908*s + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 2.95. Let w = v - 3.2. Let u = -0.2 - w. Which is the biggest value? (a) 0.2 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 22983*i**2 + 19888*i + 134. Let m(n) = -7661*n**2 - 6630*n - 38. Let a(v) = -7*m(v) - 2*w(v). Find the second derivative of a(y) wrt y.\nAnswer: 15322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254845251?\nAnswer: 3, 61, 154733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {e: 2, y: 2, z: 2, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 - 6*x - 6. Let h(p) = -30*p - 244. Let t be h(-8). Determine j(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**7\/1260 - 3*a**5\/10 - 11*a**2. Let f(q) be the third derivative of l(q). Let g(d) = 5*d**2. Give f(g(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d**(-3)*d\/d**(-1\/4)*d*d*d\/d**(-3))\/((d*d**(3\/4)*d\/d**(-5))\/(d**(-2\/23)*d**4*d)) assuming d is positive.\nAnswer: d**(341\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*u**3 + 11*u**3 + 35448*u**2 - 35448*u**2.\nAnswer: -66*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**5\/4 + 26*n**4 + 635*n**3\/4 + 189*n**2\/2 = 0.\nAnswer: -27, -7, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + i + 3 = -17, 0 = -5*r + 5*i - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*q - 38, 5*q + 56 = m + 7. Let f(r) = -6*r - 47. What is the remainder when 180 is divided by f(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 31 = w, 7*w + a + 24 = 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -563 + 670. Suppose c = 2*f - 261. Calculate the highest common factor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -56 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149870767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 86118?\nAnswer: 430590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/99 and -17\/264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 108111096 to the power of 1\/2, to the nearest integer?\nAnswer: 10398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmi when three letters picked without replacement from {t: 1, f: 1, y: 1, i: 1, m: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31836505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxdw when four letters picked without replacement from zwjxndw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Let k = 10 - z. Factor -4 + c - k*c**2 - 3*c - c**3 - 6*c.\nAnswer: -(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 106) + 193 + -185.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1413)\/(-942))\/(1\/2474 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.6 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9973, -9910, -9771, -9526, -9145, -8598, -7855, -6886?\n\"Answer: 5*a**3 + 8*a**2 + 4*a - 9990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17896871.\nAnswer: 521, 34351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/19 - (-78)\/19 - -94. Calculate the highest common divisor of 931 and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 334 + -26140?\nAnswer: -25a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i - 5. Let z(d) = -11*d + 4. Let b(q) = 4*m(q) + 5*z(q). Let t(k) = -3*k**2. Give b(t(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 130*u**2 - 130*u + 147. Let z be k(-131). Solve -28 = z*y - 23*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/2)\/(1\/4). Suppose -u*v = -2*v + 10. Let f(o) be the third derivative of -o**6\/120 - o**5\/15 + o**4\/4 + 6*o**2. Calculate f(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -72\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1376*f*u**2*y + 7945*f*u**2 - f*y wrt y?\nAnswer: -1376*f*u**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 24, 0 in increasing order.\nAnswer: 0, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -13*z + 6. Let r(p) = -7*p + 3. Give -11*r(j) + 6*s(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 2 i when four letters picked without replacement from iifboiifbifeiibiifb.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfbssyssbosso. Give prob of sequence bf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let m(q) = -q**2 + q - 2. Let s be 2\/(2*-1)*0. Let f be m(s). List the prime factors of w(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(3520\/5184) - 204.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 74 = -2*s. Let o = s + -6. What is o rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:45 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -27914835?\nAnswer: 1\/2147295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17720246 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 885248331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12360 - -249?\nAnswer: -12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7921995?\nAnswer: 3, 5, 211, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 3545143?\nAnswer: -17725715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208339 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238753788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 12, 58, 45, 4 in decreasing order.\nAnswer: 91, 58, 45, 12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 332 + -342. What is the closest to 3 in 4\/5, -0.2, c?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-19) + 0 + (-676)\/6422. Solve 2*w = 5*x + w + 6, 3*x - y*w = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/459? (a) 3\/2 (b) 1\/2 (c) 4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366515849 to the power of 1\/2, to the nearest integer?\nAnswer: 19145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojuuoujuouiu. What is prob of picking 1 i and 1 o?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 171.5\nAnswer: 17.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1680 + -826. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tkktttbtybtbyktttbb.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 6 + 6 + (f + 3*f - 6*f)*(2*f + 2*f - 6*f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/3 - 12*a**2 + 4*a\/3 + 48 = 0. What is a?\nAnswer: -36, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/2*48420\/(-8877).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + 0 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2044 - 0.159913889?\nAnswer: 0.044486111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*m - 96*m = 286422. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34330 and -916036643.\nAnswer: -916002313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -14. Let h be (-2)\/9 + a\/(-27). Let x be -3 + 2 + 3 - h. Solve t + 1 = -b, x*t - 5*b = 15 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 divided by 8?\nAnswer: 205\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 424 and 2296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1349, -2735, -4173, -5663, -7205, -8799, -10445?\nAnswer: -12143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffdfdfd. What is prob of picking 2 f?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3847*t + 201498010 - 201498010. Let b(h) = h. Calculate f(b(g)).\nAnswer: -3847*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 5\/3*o**3 - 8*o + 127 + 1\/4*o**4 + o**2. Let c(t) = 0. What is t?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -2 (c) -0.3 (d) 4 (e) 393\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**5 + 0*m - 3\/2*m**2 + 0*m**3 - 1 + 0*m**4 - 1\/6*m**6. What is the second derivative of t(b) wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3\/1195 (c) -2\/175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (1*sqrt(176) - sqrt(176)))**2*5 + 2 + 5*(sqrt(176) + -3*(-2*sqrt(176) + sqrt(176)))**2 + -3.\nAnswer: 14579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02939 * -0.063615.\nAnswer: -0.00186964485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*o - 876, 0 = 163*o - 160*o + 2*s - 852. Solve 2*u = -3*f + o - 305, -8 = -2*u + 2*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Suppose -g = -12 + 1. Suppose -2*s + t = -g, -2*t - 21 = -4*s - t. Calculate the remainder when s is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + 60\/150\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 11*n - 8. Let j = 13 - 20. Let v be y(j). Let o be (28\/16)\/((-3)\/v). Solve -4*l + o - 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*l - 10. Suppose -4*g = -0*o - o - 31, -2*o - l*g - 14 = 0. Let k = 21 + o. What is the highest common factor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7679 not equal to -7682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050 = 956*y - 991*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from {g: 2, x: 2, v: 1, c: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -28852000 to the nearest one hundred thousand.\nAnswer: -28900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - b = 259, -b + 50 + 300 = 4*x. What is the remainder when x is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.18 - 0.18. Sort 0.4, a, 0 in ascending order.\nAnswer: 0, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {m: 3, g: 2, e: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7519687?\nAnswer: 7, 19, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 2\/21*r**7 + 0*r**6 + 0*r**2 - 5*r + 0*r**5 + 0*r**4 - 1\/6*r**3 + 0. What is the second derivative of m(a) wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -155, -5, 2, 13 in ascending order.\nAnswer: -155, -5, 2, 4, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1792 and 151424.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/1429 and 2336 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*f + 4, 0 = 4*f - 10*z + 15*z - 30. Suppose 23059 = 4*q - f*w + 2*w, -4*w + 11502 = 2*q. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 462299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26859*g**4 + 3*g**3*y**2 + 8*y**2 + 10720*y wrt g?\nAnswer: -107436*g**3 + 9*g**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -114*y. Let t(b) be the second derivative of b**3\/2 - 843*b. Give v(t(s)).\nAnswer: -342*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13872090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 43*u - 3. Let k(p) = -47*p + 3. Let y(s) = 2*k(s) + 3*o(s). Let a(d) = 10*d. Determine a(y(x)).\nAnswer: 350*x - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + p + 25 = 5, 4*s = -4*p + 20. Let d = 219 + -127. Suppose 0 = -s*l - 27 + d. Calculate the highest common factor of 117 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - ((sqrt(153) - 1*sqrt(153))*-2 + sqrt(153)) - sqrt(153)) + (1*(sqrt(153) + -2*sqrt(153)) - sqrt(153)))\/(sqrt(72)\/((sqrt(16)*3)\/sqrt(2))).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*v - v + 3*r, -4*v + 24 = -4*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 17, -0.4, -1\/9, -32, -13\/2, -0.3, -3\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1630 - -1625. What is the closest to -0.065 in -0.3, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 41 = 55. Let g(x) = 7 + 10 + 8*x**d - 17. Let i(u) be the first derivative of u**2\/2 - 3. Give i(g(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*o - 35*o**2 + 39*o**2 - 40*o - 44*o + 122*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-360))\/(60\/(-300)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**32\/r)\/r)\/(r*r**(5\/4)))**(-6\/5) assuming r is positive.\nAnswer: r**(-333\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303574733 to the nearest integer?\nAnswer: 17423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39697450 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4022359 and 0.07.\nAnswer: -281565.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -32746473710 rounded to the nearest 1000000?\nAnswer: -32746000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/5 - 48*d**2\/5 - 288*d\/5 = 0?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/((-139)\/6255).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1304*a - 7. Let y be u(3). Suppose -5*r + 5*n = -y, -2*r = 5*n - 1244 - 353. Is r\/(3 - 1) + 4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**8\/336 - l**7\/210 - l**6\/120 + l**5\/60 - 7*l**2. Suppose f(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*t - 283*t = 2293 + 22547 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 81.25. Let n = o - -0.25. Let z = -11.0000028 - n. Round z to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/11 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-479 - -542)\/(5*-3) + 3\/(-5).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p = 18*p - 5*j, 4*p = 2*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v + 6*v)*(404*v**3 - 28*v**3 - 44*v**3).\nAnswer: 332*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*c + 2*c = 3137, 0 = -3*c - 3. Let a be ((-4)\/(-7))\/4 + p\/(-21). Let z be 806\/a + (-6)\/(-45). Is z at most as big as 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 56. What is d(0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 402*g - 20319 + 6243 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppjnjxxjjpnscnpxnnx. What is prob of sequence jpj?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -152b1 (base 12) to base 2\nAnswer: -111010001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 23. Let u be y(-1). What is the greatest common divisor of u and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 13*f**2 + 6*f - 7. Let r be m(-7). Which is the closest to -5? (a) -5 (b) 1\/3 (c) r (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 4. Let a(u) = 4*u**2 - 5. Let z(i) = -3*a(i) + 4*v(i). Let f be z(-1). Solve 4*r = f*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from gssf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-471)\/(-234) - 2). Suppose l = 6*j - 30. Suppose 0 = -j*f + 23*f - 215. What are the prime factors of f?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 - (-327)\/15 - 8\/10 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 213\/2 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60523575 by 52675.\nAnswer: -1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 7. Let c(w) = w + 11. Let f be c(t). Find the third derivative of 3*h**2 + 0*h**5 - 4*h**5 + 5*h**f wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 16*a**2 + 22*a - 80. Let r be c(17). Let g = -149 + 322. Suppose r*f - g = 152. Calculate the remainder when f is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2 + 22354*r - 124925329 = 0?\nAnswer: 11177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 484 by 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + q**2 - 4 + 25 + 28 to the form p + v*q**2 + d*q and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -831302899, -1662605799, -2493908699, -3325211599, -4156514499?\n\"Answer: -831302900*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 16.2. Let g = -3 - n. Which is the biggest value? (a) -4\/3 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - g)*(-11*g - g + 3*g)*(-10*g + g - g).\nAnswer: -90*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537 + 119 = 164*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-396)\/15 + 10\/25. Let y = 261 + b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/9 - (-14)\/3. Suppose 4*x - b*u + 4 = -8, -4*u + 20 = 0. Suppose 5*k - 20 = 3*f, -k - 4 = -2*f - 8. Solve g = x*g + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 131*s + 126*s + 40 = 0, -4*s = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 48 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*z**2 + 23 + 20*z**2 - 65*z**2 + (-1 + 1 + z)*(-z - z + 6*z).\nAnswer: 7*z**2 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -35*z + 4. Let j(s) = 44*s**2. Give l(j(r)).\nAnswer: -1540*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*s + 4*d, 9 = 5*s - 6*s + 5*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 8 - 8. Suppose b = 8*n - 3*n. Let i be (-3)\/12*n - (-3 - -3). Put -36, -4, i in decreasing order.\nAnswer: i, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 38442789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (47 - 87)) + -38.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/3, 33, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 629018 and 21144682.\nAnswer: 274880866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*u = -415*u + 234 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09002145 to 5 decimal places.\nAnswer: -0.09002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 78*n + 1080. What is k(-90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -17*r - 11. Let m be 6\/2 - 70\/630*99. Let w(i) = 11*i + 0*i + 5 + 2. Determine m*w(j) - 5*c(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262509?\nAnswer: 3, 13, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10537 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 9*x - 12. Let p be b(-10). List the prime factors of 2 + (p - -30) - 1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*j + 1687*j = 845*j + 5*p - 30 + 10, -5*p - 65 = 21*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j + 2*j**3 - 94*j**2 + 99*j**2 - 3*j**3. What are the prime factors of x(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzxjjvvjjvvjjjvjvx. What is prob of picking 1 z and 2 x?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 14 = 2*z - z, -4*z + 28 = -k. Suppose -4*m + z = -6. Suppose -b + 6 = -m. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 12 = -4*l - 16, 3*x + 12 = 3*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 11*l - 27. Let y be t(19). Let m = y - 205. Calculate the highest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9635 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/4550*26)\/(12\/21)*164.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/8 + 1459*j**3\/8 + 538665*j**2\/8 + 4716125*j\/8 - 2628125\/4 = 0.\nAnswer: -725, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 2915055.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**4 + 16440*c**3 - 278185*c**2 + 490650*c = 0.\nAnswer: 0, 2, 15, 3271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2864312 millennia?\nAnswer: 2.864312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:54 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 >= -30.9457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*x - 1977 - 1523 = -848*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10626434 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6440 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1960\/(-42))\/((-1140)\/1368)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 99.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11011020201222 (base 3) to base 13\nAnswer: 5c4857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 3*d - 15 = 0, 3*v - 5*d = 4. Suppose -116 = -v*y - 8*s + 3*s, 5*s = 5. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 53*v**4 + 11 + 28*v**4 + 22*v**4 + v**2 + (10 + 4 + 7)*(0*v**4 - 2*v**4 + 0*v**4).\nAnswer: -45*v**4 - 2*v**3 + v**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -2 + 9 - (0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*a**4 - 45*a**3 - 105*a**2 - 10*a.\nAnswer: 5*a*(a - 2)*(a + 1)*(10*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 75\/90*365\/(-3650)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2 - 6108*m - 9326916 = 0. What is m?\nAnswer: -3054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c + 20*c + 17*c + 11*c to the form o*c + j and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22676973 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 15*z - 31. Give u(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442 greater than 6441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l**2 - 20*l**2 + 156*l - 779 - 473*l + 154*l + 160*l - 15*l**2.\nAnswer: -2*l**2 - 3*l - 779","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 567656 smaller than -216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2 - 2)*(2*h - h - 3*h) + 60*h**2 - 190*h**2 + 11*h**2 + 4*h**2 - 2 - 4*h**2 - h**2.\nAnswer: -124*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvg when three letters picked without replacement from {l: 4, g: 5, d: 8, v: 2}?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:09 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1040)*10*(-12)\/(-9).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/37 and 322\/(-20) - (-27)\/45.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3287, -3250, -3173, -3050, -2875, -2642, -2345?\nAnswer: -1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85.4 - -1.6. Let x = u + -86.99879. What is x rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m**2\/2 - 13573*m\/2 - 28179 = 0 for m.\nAnswer: -62\/15, 909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + g)*(3*g + 2*g + 0*g) + (-1 + 2 + 0)*((-3*g**2 + 0 + 0)*(4 - 5 - 4) - 2*g**2 + 0 + 0).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 6:10 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 0.17 (c) -1\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrh when four letters picked without replacement from {h: 2, r: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1 - 2*o + 5*o**3 + o + o**2 - 6*o**3. Let p(w) = -10*w**3 + 8*w**2 - 8*w + 8. Let r be ((-6)\/(-2))\/((-96)\/(-256)). Calculate r*c(m) - p(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/650960 and 25\/1164.\nAnswer: 189429360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a + 311814 - 52697 = 0. Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -23*g**3 + 6*g**2 - 6. Let t be (-4)\/6*(35 - 26). Let w(v) = -68*v**3 + 17*v**2 - 17. Determine t*w(u) + 17*c(u).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32232, -128946, -290136, -515802, -805944, -1160562?\nAnswer: -1579656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72077.57 days to nanoseconds.\nAnswer: 6227502048000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 47*t**2 + 35*t - 3090. Give s(-49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 44 = -12. Suppose 2*k = k + 75. Let s = i + k. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61621 (base 7) in base 12?\nAnswer: 886a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (92\/330)\/((-780)\/4875) and -143\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*1)\/sqrt(4) - ((sqrt(90)\/sqrt(5))\/sqrt(6) + sqrt(3) + -2)**2.\nAnswer: -16 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -65672.133 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 + w**2)*(-46*w - 399*w**2 + 782*w**2 + 2*w**3 - 367*w**2).\nAnswer: -2*w**5 - 16*w**4 + 46*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 36 = 2*l, l = 2*h - 23 - 13. Suppose -h = -g - g. Find the second derivative of g*r**2 - 1 + 1 - 2*r**2 - 7*r wrt r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38420719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 1\/60*v**5 + v**3 + 0*v - 5\/12*v**4 + 0 + 12*v**2. Let k be t(9). Put k, -4, 13 in descending order.\nAnswer: 13, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfr when three letters picked without replacement from {f: 1, s: 9, r: 10}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 22*o**2 - 21*o - 50. Determine y(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*p = 35, p + p + 18 = f. Let z be 2 + ((-60)\/(-4) - 0) + -1. Suppose -27*v - z = -31*v. Solve 2*q = -v*n + q + 20, 0 = -4*n + 3*q + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, 152306, -36 in increasing order.\nAnswer: -36, 105, 152306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308558400?\nAnswer: 2, 3, 5, 64283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54\/(-126) + 311*1\/7 is divided by ((-58)\/(-4)*2)\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 6:55 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2532545484 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + 3*sqrt(1331)*5)*1)**2.\nAnswer: 1650*sqrt(11) + 299500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000221049373 rounded to seven dps?\nAnswer: 0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33184 (b) 1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72153427 to the nearest integer?\nAnswer: 8494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 5*l - 10. Suppose 0 = -8*f + 3*f - 20. Calculate the remainder when o(f) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:01 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrjrrrxxurrrururrx. Give prob of sequence urjr.\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o. Let k be r(-2). Suppose 5*t = 3*z + 35, -3*z - 3 = -2*t - k*z. Find the third derivative of -10*n**t - 5*n**4 - 13*n**2 - 4*n**4 wrt n.\nAnswer: -456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/120 and 167\/14790.\nAnswer: 59160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = n - 353, n = 3*d + 3*n - 209. Suppose -2*s - 1 = -d. What is the lowest common multiple of s and (-7 - -15)\/(15\/15)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(605) - (sqrt(605) + 0)) + ((sqrt(605) + sqrt(605)*-2)*5 - sqrt(605)) + -3 + 5*(sqrt(605)*3 + sqrt(605)))**2 + 5.\nAnswer: 616*sqrt(5) + 118588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 53 = -13. Let x(h) = -h**3 - 9*h**2 - 4*h + 4. Give x(o).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*i**2*m**2 - 2*i**2*m + 100*i*m**2 - 2*i wrt i.\nAnswer: -50*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -6*z - 4*z. Suppose -4*x + z = -202. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14052 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46748 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23478 and 17174157?\nAnswer: 34348314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f = -3*r + 70, -r = 2*f - 20. Suppose -4*u - 14 = -3*d + 6*d, 5*d - 2*u = -6. Let m = r + d. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-111) + (-7058200)\/(-1480) + 3?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-2 - -46736)\/(-3). Suppose -c + w = 3*c. Suppose -2*m = -a + 1945, 4*m + c = 5*a - 2*a. What is m rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 54\/5 of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9876, -39480, -88826, -157920, -246768, -355376, -483750?\nAnswer: -631896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-1 + -2) - -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(28)*2 + 5*(1*sqrt(63) + -2))**2.\nAnswer: 20*sqrt(7) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2856 and 27\/32?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 3. Let i = 0.02 + -0.02. Are i and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.88 + 0.12. Let p = r - 50. Let m = 4.3 - 0.3. Which is the biggest value? (a) 0.01 (b) p (c) m (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (392\/(-33) - -4) + 8. Is 1 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/810 and -59\/68738040.\nAnswer: 618642360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 37, 50353, 4 in descending order.\nAnswer: 50353, 37, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196078, 392154, 588232, 784312, 980394, 1176478, 1372564?\nAnswer: 1568652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1020620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f**3 + 6*f**2 + 4*f - 1. Let o be q(-1). Sort -1, -4, o in increasing order.\nAnswer: -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -277, 11.3102, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6317, 6230, 5987, 5510, 4721, 3542, 1895, -298?\n\"Answer: -13*u**3 + 4*u + 6326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2\/2 + 497360*j + 18896070 = 0. What is j?\nAnswer: -198906, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k\/(k**(-26)\/k)))\/(k*k\/(k*k**7)*k*k*k))\/(k**19)**(-26) assuming k is positive.\nAnswer: k**470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (3 + -6 + 5 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-92))\/(22\/253).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2 + sqrt(13))**2 - sqrt(13)) - (sqrt(325)*2)**2 - (5*(sqrt(91)*-1 - sqrt(91)) - sqrt(91))\/(sqrt(14)\/sqrt(2)*2).\nAnswer: -1351 + 41*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 618292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*(-76)\/(29792\/(-245))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.1. Let n = 0.29 - -3.71. What is the nearest to 0 in 0, n, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 22 + 15)*(2*z + 5 + z - z).\nAnswer: 14*z + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awj when three letters picked without replacement from wjjddjadwaaddjd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 546.\nAnswer: 17472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1158 = 3*p - 3*z, 3*p + 4*z - 200 - 993 = 0. Calculate the remainder when p is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d + 2 - 4*d + 4*d + 3. Let g(w) = 5*w + 6. Let z(m) = -5*g(m) + 6*y(m). Let l(q) = -2*q. Calculate z(l(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*l - 18 + 402*l + 17 + 1.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4157*a - 37583. Determine k(-9).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (528523*g**2 + 7 + 58*g**3 + 5 - 528525*g**2)*((0 + 0 + 2)*(4*g - g - 2*g) + 2*g + 0 + 0 - g - 2*g + 4*g - 1 + 2*g + 1).\nAnswer: 406*g**4 - 14*g**3 + 84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3597, 3599, 3603, 3609, 3617, 3627?\n\"Answer: n**2 - n + 3597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/6901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/875 and 12\/213775?\nAnswer: 7482125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**3 - 4*n - 6*n**4 + 3*n**4 + 36*n**4 + 14*n**3 + 2*n in the form r*n**2 + a*n**4 + g*n + c + v*n**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3475867, -3475864, -3475861, -3475858, -3475855, -3475852?\nAnswer: -3475849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3 - 1 - 2*u + (2*u - 6*u + 2*u)*(1 - 1 - 2) + 19*u + u - 4*u + u + u + u.\nAnswer: 21*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16494028 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, x: 5, y: 2, r: 4}. Give prob of picking 1 x, 1 w, and 1 y.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 3*z - 3*z + 6*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 20*c. Let l be w(-1). Let u be (-219)\/(32\/(-336) + (-244)\/84). Let o = l + u. Calculate the remainder when 315 is divided by o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1420*r - 4228*r + 1400*r + 1408*r - r**3 - 78*r**2.\nAnswer: -r**3 - 78*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 6*a**2 - 3*a + 4. Let c = 14 - 8. What is t(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349632251 a multiple of 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (19 + -68 + 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 106646.3609 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 1. Let u = -0.024 + -0.176. What is the closest to q in 3\/8, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43070 is divided by 122.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 54. Suppose i*k = 99 - 9. What is the smallest common multiple of k and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6726 is divided by 2631.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 5, e: 1, y: 3, z: 3, m: 2}. What is prob of picking 2 z and 1 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 3. Let y be t(-3). Let i(m) = 174999*m**2 - 6*m. Let g be i(y). What is g rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98404162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 1220693021.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49 - 473 - 14*k**5 + 5*k**4 + 10*k**3 - k**2 + 6*k**3 - k**2 wrt k?\nAnswer: -840*k**2 + 120*k + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -666023, -2664040, -5994061, -10656080, -16650091, -23976088, -32634065, -42624016?\n\"Answer: k**3 - 666008*k**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and -0.30869112022?\nAnswer: 0.90869112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 151 - 2*x + 162 - 299 + 16*x**2 + 40*x**2 + x as o*x + i + g*x**2 and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**1*r**(-2\/27) assuming r is positive.\nAnswer: r**(52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*((1 + sqrt(98))*5 + sqrt(98) + sqrt(98) + (sqrt(98) - (-1*(1 + sqrt(98)) - sqrt(98))) + sqrt(98))*-1 + 0))**2.\nAnswer: 8316*sqrt(2) + 107046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -87535, -87539, -87543, -87547, -87551?\n\"Answer: -4*r - 87531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*g + 2*j, -4*g - 42 - 3 = 5*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -5. Let i(o) = -4*o + 3. Let a(g) = 9*g - 7. Let m(h) = -3*a(h) - 7*i(h). Let j(f) = f. What is z*m(d) + 3*j(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 9*j + 2*j - 7*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -815*x**5 - 66*x**2 + 1 wrt x.\nAnswer: -48900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d - 8. Let b be a(11). Let j = -19 + 73. Calculate the highest common divisor of j and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.4. Let f = 0.3 + y. What is the biggest value in 0.3, f, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -14 + 17 + -6 - (-6 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 2454*r**2 - 419622*r - 223531630 = 0. What is r?\nAnswer: -215, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 11*g - 4*p + 279, -2*p = -4*g + 218. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b**2 + 4*b - 3. Let i(m) = -29*m**2 - 8*m + 7. Let r(f) = 3*i(f) + 7*t(f). Let k(l) = -5*l**2 - 2*l. Let w = 5 + -9. Determine w*r(x) - 9*k(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/((-792)\/30) - ((-137)\/24 + 3). Let s(g) be the first derivative of g - u*g**4 + 15\/4*g**2 + 6 + 13\/3*g**3 - 14\/5*g**5. Let s(j) = 0. What is j?\nAnswer: -1, -2\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 - -8.9. Let z = a - 84. Let s = z + 74.0061. Round s to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 + 6*w. Let u(k) = -k**2 + 2*k. Let z = 338 + -346. Give z*u(b) + 3*g(b).\nAnswer: -4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1600 and 18200.\nAnswer: 145600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/(-187) + (-36390)\/(-85)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -707560?\nAnswer: -707557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 0 + 4)*(3 - 5 + 4) + 0 + 3 - 4)*(22 - 8*z**2 - 22) to c + h*z + m*z**2 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 - (-9 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671381 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499 divided by -4.\nAnswer: -499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11475 - -19665. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1872796017 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-3656141\nAnswer: 731228.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.587 + 1.5. What is o rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2355*n = -174*n - 30*n - 140745 for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 137, 5 in decreasing order.\nAnswer: 137, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418252 a multiple of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 13*f - 8. Determine n(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*v**2 - 12*v**5 + 152*v**2)*(-3 + 6 + 2 + (-1 + 1 - 1)*(-5 + 2 + 1) + 1 + 2 - 1).\nAnswer: -108*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**2 - 6*b + 5. Let g(m) = -7*m**2 - 5*m + 4. What is -5*a(u) + 6*g(u)?\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -196 + 2?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekoeekkkk. What is prob of sequence oee?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 1. Suppose -3*d - 5 = -5*b, b = 6*b + d - 25. Let f be b\/10*60\/(-24). Let x(l) = -l**3 - 6*l**2 + 2*l - 4. What is f*x(k) + 6*v(k)?\nAnswer: k**3 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 2. Let a = 13 - 11. Let y(m) = 190*m - 206*m - 1 + 5 + a. Give -7*p(q) - 2*y(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27.565 + 1.1\nAnswer: -26.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r + 2. Let l be s(-2). Suppose l + 13 = -5*c. Put -2, c, -1 in ascending order.\nAnswer: c, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199 + -249 + (-900)\/(-24).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 96197?\nAnswer: -1154364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*o + 9, 5*o + 8 = p - 5*p. Let t(g) = -g**2. Let j(r) = 7*r**2 + 8*r - 5. Let a(y) = -j(y) - 6*t(y). Let v be a(p). Is 11 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 8*s**2 + s + 1. Let d be 146\/18 - 10\/90. Let a be q(d). Solve 4*p - a*p = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 217*l**2 + 9535*l - 805. Calculate o(-44).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8627 * -0.1.\nAnswer: -0.08627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 1. Let a(r) = 55*r**2 - 3*r - 35. Let m(p) = a(p) + 6*v(p). What is the units digit of m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -19\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 20*x - 1200. Let f = x + -150. Solve f = -6*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -161 and 0.7?\nAnswer: 161.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1884650982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 1, -5\/31, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120021103 (base 4) to base 12.\nAnswer: 49297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*a + 18192350 = 240*a. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -26. Let v(f) = -2*f**2 - 5*f + 1. Let o(s) = 2*s**2 + 4*s - 1. Let q(w) = 4*o(w) + 3*v(w). What is q(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27974*y - 47 + 7964*y + 21 + 26.\nAnswer: 35938*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.773 and -14?\nAnswer: 14.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/31)*f**(-16) assuming f is positive.\nAnswer: f**(-495\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/10 of a hour?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/20 - 3*f**4\/4 - f**3\/6 - 3*f**2 + 2*f. What is the units digit of t(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.012 - -0.088. Which is the fourth biggest value? (a) 0.4 (b) n (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iivimmi. Give prob of picking 3 i and 1 m.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13596 and 1207572?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1934 (base 14) to base 2\nAnswer: -1000111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (169\/13)\/(-26) + 7\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1058699.22 to the nearest 100.\nAnswer: 1058700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:40 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3190256, -3190246, -3190230, -3190208, -3190180, -3190146?\n\"Answer: 3*c**2 + c - 3190260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 6*v**2 - 7*v + 8. Let z be m(7). Suppose 5*i = 2*f + 9214, 0 = 4*f + z. Suppose -12*k = 594 - i. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5237.1 + 5237. Which is the closest to 7.22? (a) g (b) 0 (c) 0.5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9)*(7\/2 - 5). Solve 31*z - 30*z = -c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*t + 5842*t + 4671*t = 563968 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let h(y) = -32*y - 11. Let c(i) = -8*i - 3. Let l(u) = 22*c(u) - 6*h(u). What is j(l(t))?\nAnswer: 512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 12437?\nAnswer: 1368.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001990831947 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 + 151. Suppose z = t*l + 28694, 5*z - l = 9*z - 114802. What is z rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 + (-112 - -5). Let i = -64 - r. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/3 + -10. Let l = c + 46\/3. Let b = 23.9 - 18.9. What is the second biggest value in l, -5, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1488 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4451 - 4411 = -4*t - 3*c, t - 6*c = 17 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -2. Let r = w - 10. Calculate the greatest common divisor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100001 - 10110?\nAnswer: -100110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(2\/(-12)))\/2. Suppose -2*h - 57 = -4*b + 21, -3*h + 72 = x*b. What is the remainder when (-655)\/262*(-6)\/20*80 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(2 + 0 + 0) - 1 + 0 - 1 - 3 + 4 + 1)*(0*m**5 + 0*m**5 + m**5).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2506 - -36641?\nAnswer: 42450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6214873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - m + 2 = 0, 3*p - 2 = -2*m + 2. Sort -127, -5, p in decreasing order.\nAnswer: p, -5, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(((-45)\/(-6))\/(-5))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h + 4. Let c(k) = 3*k + 3. Suppose 6*o - 40 = o. Suppose o = 2*b - 0*b. Let i(f) = b*s(f) - 5*c(f). Find the first derivative of i(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -26. Let r = -49 + h. Is r greater than -26\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -10. What is the nearest to -2\/7 in -0.2, 1, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1305 - -43?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yczcmcmmkmmkczmzkmc. What is prob of sequence kz?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110397 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 39 = -2*h - 3*l, 10 = -h + l. Find the common denominator of (-2)\/h + 346\/(-72) and (2 - (-789)\/(-324)) + 36\/144.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-18 + 13) - 22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 1114\nAnswer: 51\/1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 888307 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 2*sqrt(20) + 1).\nAnswer: -24*sqrt(5) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -8*g + 20. Factor -16*u**g - 15*u**3 + 3*u**3 - 2*u**2 - 20*u**4 - 4*u**4.\nAnswer: -2*u**2*(2*u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 3*n + 717. Let m be x(-31). Is -1497\/10 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 16*j**2 + 76*j - 109. Is k(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1407 + 19*f + 1407 - 4*f + 119 - 119 + (5*f + 3*f - 6*f)*(-2 + 3 + 0) - 3 + f + 3 + 5*f - f - 3*f + (1 + 2 - 5)*(-f + f - f) + f - 3*f + 4*f.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, -3, 1\/4, 0.006?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -5 + 7\/((-6 + 4)\/(-2)) and 39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1270)\/(-40) - 2\/(-8). Suppose y = s + s. What is the least common multiple of 6 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13792497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116435647*a + 58217868*a + 58217784*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-0.0463114.\nAnswer: 0.04168026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41427.9 centuries to decades.\nAnswer: 414279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 20 = 3*o + 3*j, 0 = 2*o - j - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000129702 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**5\/60 + 2*m**2. Let s(n) be the third derivative of 47*n**5\/15 + 21032*n**2. Give j(s(z)).\nAnswer: -35344*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*q + 124*q - 12 = -4*d, 5*q + 3*d = 25. Solve b - q = 3*v, -3*b - 8*v + 16 = -13*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 9*z**2 + 16)*(-2 + 0 + 1)*(-6*z + 2*z - 2*z**3 + z).\nAnswer: -18*z**5 - 27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 18. Let q be (12\/(-10))\/(n\/35). What are the prime factors of (-117)\/(-6)*(-8)\/q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110001110 (base 2) in base 7?\nAnswer: 20411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from qyuaaja?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/(5 - 1864\/372). Let w = -19 - x. Suppose 3*f + 5*p = w, 2*f + 2*p - 4 - 4 = 0. What is the nearest to -1\/4 in 1, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 10\/13?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 + 0.01. Let k = 456 + -457. Which is the closest to k? (a) 5\/3 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11813 - 11853 = -8*s - 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 15*y + 60. Let s be g(-4). Let b = 2\/1355 + 1078\/4065. Is b equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 4*n. Let r = 4 - n. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Suppose x*t + 9 = -0. Let g be 1\/4 - 33\/36. What is the second biggest value in t, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62 or -231702?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 2212.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87115781 and 11.\nAnswer: 958273591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009502544 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*o + 4*j + j, -16 = -5*o - 4*j. Let x(y) be the first derivative of y**2\/2 + 14*y + 2. Is x(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 1, a: 1, d: 2, u: 1, y: 1}. Give prob of sequence ojd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000075024 rounded to seven dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12675 take away -0.1?\nAnswer: -12674.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from htgzstj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2b35 (base 13) to base 15\nAnswer: -1cec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3968)\/(-48) - 1\/(-3). Let y(c) = 4*c**2 - 83 + o. What is the least common multiple of y(-1) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**3\/3 - 45*c**2 + 50*c + 280\/3 = 0.\nAnswer: -28, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28492 - 1858. List the prime factors of p.\nAnswer: 2, 3, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 686.\nAnswer: -3\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*m - 2*m + 2*l, 3*l = -m + 5. Let h = -4715 + 4855. What is the greatest common factor of m and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18883, -18879, -18885, -18907, -18951, -19023, -19129?\n\"Answer: -g**3 + g**2 + 8*g - 18891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 461*j**2. Let u(k) = -199*k**2 - 4*k. What is u(t(b))?\nAnswer: -42291679*b**4 - 1844*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, 0.4, -27130?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 374994.52\nAnswer: 224996.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-4)\/12 + (-6)\/(-9). Solve w = -2*f + 7*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3742175 (base 8) to base 11.\nAnswer: -646401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 14. Find the second derivative of -40*u**3 - 46*u - 65*u + 17*u - 14*u**c wrt u.\nAnswer: -324*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*h + 16, -h - 3*j + 19 = -5*h. Let p = -7 + h. Let y = p - -19. Solve 3*d = -7 - y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:47 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*q**2 + 38*q**2 + 151*q**2 + 1 - 58*q**2 + 240*q**2 in the form s*q + r*q**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 6. Let i be r(-4). Factor 225*y**2 + 218*y**2 + 2*y**4 - i*y - 10*y**3 - 429*y**2.\nAnswer: 2*y*(y - 3)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -17*f + 11. Solve -7*d + 9 = f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190.94 + -189. Let l = t + 0.06. What is the nearest to -1 in 1, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150177 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 43*x**5\/60 + 13*x**4\/12 + 45*x**2. Find the second derivative of z(o) wrt o.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 5568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a + 7*a**2 + 7*a**3 + 4 - 3 - 8*a**3 + 0 in the form l*a**2 + u*a + r + c*a**3 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112 is divided by 409?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70, -183, -332, -511, -714, -935, -1168, -1407?\n\"Answer: l**3 - 24*l**2 - 48*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 215578*g - 34855405563.\nAnswer: -(g + 323367)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 172*v + 36 in the form n + j*v and give j.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1382*a - 17 - 12 - 90*a. Is t(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 12:34 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - 9. Let q = f + 72. Let x be -4*1 - 0\/2. Which is the closest to q? (a) x (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30120323231 - -20?\nAnswer: 30120323311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*o = -13, -4*s + 7*s + 2*o = 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87139301 and 2274?\nAnswer: 522835806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -844 - 4?\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -53. Calculate the greatest common divisor of b and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b**2 + 1 + 2*b**4 - b + 28*b**2 - 3 as m*b**3 + n*b + l*b**2 + y + a*b**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -590247 by 21861.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/((-3)\/(-12)). What is the common denominator of 2 + (-174)\/(-168) + f and 83\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**1*k)\/k)**(30\/13)\/(k\/(k*k**(-2\/5)))**(12\/17) assuming k is positive.\nAnswer: k**(4788\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2289739326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -244. Suppose -8*y + 96 = 4*w - 3*y, 4*w = -4*y + n. What is the remainder when 33 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -20*c**3 - 4296*c**2 - 4*c**5 - 4290*c**2 + 8578*c**2 - 16*c**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182 - -188) + (1 - (-1 + 9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:25 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -174*f**2*j**2 + 90*f**2*j + 4*f + 2953*j**2 wrt f.\nAnswer: -348*j**2 + 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -189*z - 207 + 207 in the form m + f*z and give f.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)*b*b*b**(-4)*b)**49 assuming b is positive.\nAnswer: b**(-686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, -40, 79 in decreasing order.\nAnswer: 79, -0.4, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, 2, 31, 62, 95?\n\"Answer: b**2 + 24*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -14. Let v(y) be the first derivative of y**3\/3 + 7*y**2\/2 + 5*y - 22. Calculate v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19157.73 rounded to the nearest one hundred?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**29*z*z**(-1\/27)*(((z\/((z**(-7\/8)\/z)\/z*z))\/z*z)\/z)\/z*z*z**(-26)\/z*z assuming z is positive.\nAnswer: z**(1261\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 7 + 8. Let b(q) = 3 - j - q**2. Let u(s) be the second derivative of s**4\/6 - s. Give b(u(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.431 - 0.069. Which is the closest to -0.1? (a) -3 (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**9\/15120 - b**8\/840 + b**7\/140 - b**6\/45 - 16*b**5\/15 - 33*b**2. Let a(d) be the third derivative of y(d). Factor a(o).\nAnswer: 4*(o - 4)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -847?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 325*a**2 - 2177*a + 3389. What is m(-169)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2759 and 98611.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 10*c + 8. Let f(v) = -v**2 + 7*v + 5. Give -8*f(n) + 5*q(n).\nAnswer: -2*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169\/2 - 86. Put -0.3, f, 0.3 in increasing order.\nAnswer: f, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 12. Let g be ((-6)\/(-15))\/((-18)\/p). Let r = -236 + 2126\/9. Which is the biggest value? (a) g (b) r (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -178*p**4 - 3*p**3 - 125*p**2. Let f(v) = 357*v**4 + 7*v**3 + 249*v**2. Let s(h) = -3*f(h) - 7*r(h). Find the third derivative of s(k) wrt k.\nAnswer: 4200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7800 + 7807. What is the remainder when 3210 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.034, 1\/2, 5\/7, 0.4, -2\/3 in decreasing order.\nAnswer: 5\/7, 1\/2, 0.4, 0.034, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 24 - 2*t**2 - 61 + 20 + 17. Let o(l) = l**2 - 1. Determine j(q) - 2*o(q).\nAnswer: -4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/290 and 131\/174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*t + 75*t + 6 + 21*t - 130*t as k*t + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - 27 + 27 - 45*b - 33*b - 88*b + 11*b - 4*b + b + 5*b + (0*b + b - 3*b)*(0 + 6 - 4) + 3 - 3 - 3*b + 2*b + 3 - 3.\nAnswer: -159*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s**2 - 5*s - 7. What is the tens digit of t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1256170691?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2349\/(-145))\/((-94)\/(-470))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902.8405 centimeters in nanometers?\nAnswer: 9028405000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1153406 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8 = 8*j. Suppose -r - 6 = j. Let g be ((-1)\/5)\/(r\/(-20)). Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 47. Let a = -11.5 - p. Let u = 4.5 - a. Which is smaller: u or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(847) + -1)**2*-4*-1.\nAnswer: -528*sqrt(7) + 20352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*t**5 + 8*t**5 + 3*t**4 + 5*t**5 + t**3 = 0. What is t?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544929 is divided by 535?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 12:42 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*m**3 - 7278 - 772*m**3 + m**2 + 7276 as o*m + n*m**2 + b*m**3 + u and give b.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 15. Let g = v - -19. Let z = 407\/3 - 136. What is the third biggest value in -3, g, 3\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = -i. Suppose 5*u = -i - 20. Let o = 4\/15 + 7\/30. Put u, o, -0.4 in ascending order.\nAnswer: u, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-10)\/(-84))\/(2\/16*4)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2736 divided by 114.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtw when three letters picked without replacement from dvtddtddtw?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173100 divided by 34620?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/200*(2 + -1))\/((-819)\/260).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/((-2)\/6). Let z be (-4)\/10*(-35)\/14. Let q be 48\/(-20) + 2\/5. Put v, z, q in increasing order.\nAnswer: q, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/21 - 206\/(-14). Suppose 1 = -3*u + 16. Calculate the greatest common factor of u and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*5\/10*2. Suppose -5*w + 3389 = -a*m + 2*m, 3*w - 9 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/570 and 131\/720.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57146197 and -0.028.\nAnswer: 57146196.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 434.2429ng?\nAnswer: 0.0000000004342429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*z + c - 15, 3*z = c + 31. Let u be -3 - 0 - (-10)\/2. Suppose -z = u*m - 7*m. Solve 0 = -m*f + 2*o - 18, -4 = 4*f + o + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 374 + -1064?\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 395036.7ml in litres?\nAnswer: 395.0367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.433 and -0.85.\nAnswer: -1.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**3 - 3*s**2 + 4*s - 10. Let t(j) = -5*j**3 + 4*j**2 - 3*j + 6. Let x(l) = -2*q(l) - 3*t(l). What is x(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*o + 3 - 183*o + 1 - 183*o.\nAnswer: -260*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22 - -21)*-2*6. Solve j = -0*t + 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18892 and 7528462.\nAnswer: 15056924","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u - 19*u + 63 = -27*u. Let n(b) = 10*b. Let j(c) be the second derivative of 0 - 5\/6*c**3 + 3*c + 0*c**2. Give u*n(k) + 7*j(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r + 24. Let n be x(-9). Suppose n*o - 1377 - 15888 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -1\/8*i**4 + 0*i + 0 + 0*i**6 + 0*i**3 + 1\/10*i**5 + 1\/112*i**8 - 2*i**2 - 1\/35*i**7. Find y, given that t(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 133893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 e when four letters picked without replacement from ppeeeeppeesppppepeee.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5593*z**2 - 1308*z wrt z?\nAnswer: 11186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 + 4*c**2 - 5*c + 2. Let p(q) = 50*q**2 + 2*q**3 - 50*q**2. Let s(k) = 6*p(k) + 2*u(k). Let s(h) = 0. Calculate h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 97.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*a = 225, -4*m - 302 = 5*a - 1181. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.2, -3, -368058?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -1020?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2334, 0 in decreasing order.\nAnswer: 0, -5, -2334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*t + 1000*h**3 + 2*h**2*t - 3*h**2 + 12*h*t wrt h?\nAnswer: -12*t + 6000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -193.7.\nAnswer: -3.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 515460732 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -89.7. Let k = d + -6. What is the third biggest value in k, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*13*3\/30. Let s = 4\/5 - m. Let i be (-3)\/27*2\/1. Which is the nearest to -1? (a) 2 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/12 and 67\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*1 + -4.\nAnswer: -4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/953903 and 59\/16494.\nAnswer: 5723418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-7 - (-7 + 8))) + -18 + 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92999798 + 4321856 = 69*x - 65407946. Round x to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4*d**2 - 3*d - 11. Let q be c(-5). Let t = 125 - q. Let k = t - 83. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61745 > 61740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1 + 2*f - 1 - f. Let t(y) = 0*y + 3*y + 4*y. Calculate t(w(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -129. Suppose 2*p = -3*w + 193, 5*w + 0*p - j*p = 295. Calculate the remainder when 181 is divided by w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/252 and -61\/441.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -835 + 869 - (73 + -3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1137017 and 417905.\nAnswer: 301309505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127951128691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188044?\nAnswer: 2, 53, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/30 + 2\/15. Let f be l - ((-1290)\/(-14) - 3). Let o = 88 + f. What is the nearest to -0.1 in -2\/11, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.01 + -0.01. Let m = -5 - y. Let w = m - -5.9999849. Round w to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1971972 by -492993.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68421593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/4 - d**3\/3 - d**2\/2 - d + 9721. Let c(q) = -q**3 - 4*q**2 - q - 5. Determine -c(y) + 4*i(y).\nAnswer: -3*y**3 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 1\/20*h**4 + 26 - 17\/10*h**2 + 7\/15*h**3 + 9\/5*h. Factor p(i).\nAnswer: (i - 1)**2*(i + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - ((sqrt(77) - (sqrt(77) + 3*sqrt(77)*1)) + sqrt(77) - sqrt(77))))\/(-2*sqrt(275))*2.\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 883\/63 + -130\/9. What is the fourth biggest value in i, 3\/4, 2\/9, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*1 + sqrt(360) - sqrt(360))*-3)\/(sqrt(400)\/sqrt(2)).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 + 0.77. Suppose -4 = -u - 1. Suppose 2*q + 31 - 29 = 2*t, -5*q = t + 5. Which is the closest to k? (a) -8 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1114 (b) -8 (c) -0.2 (d) 1 (e) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -538026 or -538053?\nAnswer: -538026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, -21.5, 0.2, -0.2, -80, -2, 4?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -367*z + 135*z - 1187*z - 136224 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6220521g to nanograms.\nAnswer: 622052100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*a**3 + 589*a**3 - 248*a**3.\nAnswer: 163*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/168*1\/((-8)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329032 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2814, -1, 2.\nAnswer: -1, 2, 2814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1)\/(0 + -1). Let g = -13 - -13.1. Which is the nearest to t? (a) -1 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*j - 5 - 0, 2*n = 4*j. Calculate the least common multiple of 33 and j*4 - (-78 + -39).\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:19 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95625272.\nAnswer: 2, 17, 703127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 23 = m, -5*m - 3*h - 17 = 58. Which is smaller: -11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 20*u = -48. Let g be -4 + -4 + u - 26\/(-10). Which is the nearest to -2\/15? (a) 0.5 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289550501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tvccccdcctchcd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*p - 16968 = 252*p - 251*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -39*b - 22. Let d be c(-1). Suppose 2 = -t + 70. What is the greatest common divisor of d and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 4 = 0. Suppose -1983*b + 1910*b + 146 = 0. Solve 0 = 5*r + 3*k + b, -x*r + 2 = -8*r - 2*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20216955 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 202250 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*l + 2)*(-26 + 21 + 22 - 1 + 1 + 2 + 2 - 3 + 3 - 1 - 3 + 2 + (-1 + 4 - 1)*(1 - 2 + 3) + 2 + 0 + 0)*(2 - 4 + 0)*(-1 + 1 + 2).\nAnswer: -400*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by 424118\nAnswer: 201\/424118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 847925 and 17680?\nAnswer: 230635600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0071124051 rounded to four decimal places?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 778041 divided by 29?\nAnswer: 26829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1175.5 - 1178. Which is the closest to 2\/5? (a) -4 (b) h (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 3*c + 4*c)*(2285 - 304*c - 2285) to y*c**2 + n + h*c and give y.\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 64*i**2 - 569*i - 49. Let p be d(8). Let u be 16\/6 + 2\/6. Solve 0 = -6*y + p*y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let p be 38\/(-44)*-6 + (-10 - -5). Which is the biggest value? (a) p (b) 0 (c) -2\/3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90572*c**4 - 26*c**2 - 2154055*c.\nAnswer: -1086864*c**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4518716?\nAnswer: 2, 1129679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*w + 2*w + i, -3*w + 2*i + 14 = 0. Suppose 0*o - 2*f = -4*o + 34, -5*o = 2*f - 20. Solve w*k + o = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 897125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 492 + 804 - 3*o**4 - 66*o**3 + 1080*o + 475*o**2 - 754*o**2.\nAnswer: -3*(o - 3)*(o + 1)*(o + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 375\/45*(-27 + 0). Let x = 492 + d. What are the prime factors of x?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -1, 0, -1\/3, 3\/10, 0.024?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (227\/((-50848)\/(-384)))\/(4\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 75, 119, 163, 207, 251?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 784178948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*f**3 + 2*f**2 + 2051 with respect to f.\nAnswer: 432*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 6*g + g + 200, 5*g + 151 = -4*r. Let o = r + 42. Solve 2*d - o*j + 2*j = -8, d = 2*j - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4 = 2*p, 145*w - 16 = 149*w - 2*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*r - 19. Let f = r - 19. Is (f - 6)\/(10\/(-95)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16497*s - 16688*s - 1910 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*h**5 + 783485352*h**2 - 781943058*h + 0 + 9128\/9*h**4 - 1543308*h**3.\nAnswer: -2*h*(h - 1521)**3*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*164400\/4932.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132846, 265680, 398520, 531372, 664242, 797136, 930060, 1063020?\nAnswer: 1196022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 0*y - 3*y)*(-9 + 5 - 3) as x + k*y and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 + 4*l. Let r be i(4). Let n be r\/16 - (-3)\/1. Solve -2*k + 2*b = 0, 3*k = b - n - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 19 - 11. Suppose -4*l - 436 = 4*y, -l - y + 339 = -t*l. What is l rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 4*c - 1. Let u be w(-4). Suppose -2*z = -4*z + 3*b + 12, b - 4 = -2*z. Is z smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 222.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 24 = 4*s + 2*l, 2*s - l = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 925 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqcc when four letters picked without replacement from {c: 5, d: 3, q: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6*k**3 - 160*k**2 + 62*k**2 - 2*k + 96*k**2)*(-2 - 4 + 4).\nAnswer: -12*k**3 + 4*k**2 + 4*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 53. Suppose 0*d = 2*d - 4. What is the remainder when x is divided by (-42)\/(-4) + (-1)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {l: 2, e: 9, m: 2, v: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3883957, -7767907, -11651855, -15535801, -19419745, -23303687?\n\"Answer: i**2 - 3883953*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -307.3731 + -0.2269. What is t rounded to zero decimal places?\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10464 + 17860. Does 107 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 136*v**2 + 683*v + 22. Let y be c(-5). Solve n - 2 = -2*s, -3*n + y*n = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 7*u - 4. Let r be (7\/(-1) + 3)*-1. Let j be q(r). What is the greatest common divisor of j and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7362 - 1085?\nAnswer: 6277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 28*m + 275 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -0.11927\nAnswer: 5.36715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31060244849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-7))\/y)\/((y**(1\/2)*y)\/y))\/(((y\/(y*y\/(y**(-8)\/y)*y*y*y))\/y)\/(y\/y**(-5)*y*y)))**(-5) assuming y is positive.\nAnswer: y**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -0.5 (b) 20028\/25 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-14)*(-7 - -14). Let a(k) = -2*k**3 + 6*k**2 + 77*k - 1. What are the prime factors of a(w)?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3516 by -879.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -10 - 14. Let v(p) = 7 + 24*p**2 + 0*p - 8*p - 16*p**2. Let y(t) = -9*t**2 + 9*t - 8. Give o*y(d) - 7*v(d).\nAnswer: -2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let w(l) = -3*l - 9. Let d(o) = -o + 1. Let p(b) = 9*d(b) + w(b). What is h(p(a))?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3265 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6090)\/(-63) + (-1)\/(-3). Let v(i) = i**2 - i - 70. Let z be v(0). Let s = z + g. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 5*a + 3*a + 2*a**2 + a - 3*a - 23. List the prime factors of h(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-6))\/((-21)\/2 + 9). Which is smaller: q or 1\/155?\nAnswer: 1\/155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-49)\/21)\/7*-2. What is the nearest to 21 in -4, k, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7662 - -7677. Suppose -3*y - 24 + 114 = 0. What is the least common multiple of s and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68122796 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2, -1\/449, 9, 30?\nAnswer: -1\/449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -17*v**2 - 24*v + 31. Let i(a) = -19*a**2 - 27*a + 34. Let h(d) = 8*i(d) - 9*m(d). Give h(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -201*q - 2. Let o be d(-2). Let f be (-353133)\/2583 - (1 - (-5)\/(-7)). Let i = f + o. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*w = -882*w + 27168 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -4, -13, -22?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 870203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l + 12. Let y = -21 - -23. Let j be y + 2*(8 - 3). Let v be 4\/j + 1\/(-3). Calculate p(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from xxxxxlxxxxxl?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*h = -4, -3*l - 4*h - 6 = -h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3333123 (base 12) to base 6\nAnswer: -545240443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53045095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-5 + 1)\/(-4). Solve -2 = -u*i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(3\/10))\/(d**(-4)\/d*d) assuming d is positive.\nAnswer: d**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 719255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7235*d**4 - 1330*d**3 + 37650747?\nAnswer: 28940*d**3 - 3990*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -4*a - 5*x + 16, a = 5*x - 14. Let b(l) = 2*l + 34. Let h be b(a). Let f be 14\/h*(-40)\/(-140). What is the nearest to -3\/4 in 3, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 2*o**2 - 9. Let v(u) = -u**2 + 8. Give -5*t(g) - 6*v(g).\nAnswer: -5*g**3 - 4*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**4\/20 + b**3\/5 - 3*b**2\/10 - 3*b\/5 + 7. Factor a(i).\nAnswer: 3*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*6*(-8)\/432?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*(6\/(-12))\/(21\/182)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*m**2 + 22013*h*m + 2465*h wrt m?\nAnswer: -4*h*m + 22013*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.3 (c) -2 (d) -5\/14 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*a = 3*a + 19976, 0 = -3*a - 12. Let s = o - -79817\/16. What is the common denominator of s and 15\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 9*s = -4, -t + 1977*s = 1982*s - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6746 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*f + 16. Is (2\/4)\/(f\/(-1264)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -333 + 328. Let m be 8 - (n - 14) - (2 + 1). Let k(g) = 11*g + 6. Let q be k(6). Calculate the highest common divisor of q and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 16) to base 10\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344656 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -321 in -0.01, -0.062, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197190 is divided by 139?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79417 + 141824. What are the prime factors of v?\nAnswer: 17, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.145238 months?\nAnswer: 0.3454365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -5*l**7\/21 - 7*l**5\/10 - l**4\/12 + 15*l**2\/2 - 2*l - 75. What is the third derivative of j(t) wrt t?\nAnswer: -600*t**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 35828439 in decreasing order.\nAnswer: 35828439, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2270*r**2*z + 16*r*z - 40*z + 4 wrt r?\nAnswer: 4540*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x - 3. Let r(z) = -z**2. Let f(y) = 3*y**2 - 3*y - 4. Let d(g) = f(g) + 2*r(g). Let u be d(5). Is c(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -8 (c) 3385\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + 1)*(-9276)\/(-14). Let i be 1\/3 - r\/(-18315). Let m = i - -2\/185. Is 1 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*31 + (-8 - -10). Let s = i + -115. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**3. Let q be n(-1). What is the second derivative of m**3 + q*m**3 + 67*m**2 - 67*m**2 - 3*m wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 2*h)*(-2 + 2*h**4 + 1 + 9*h**3 - 11*h**3).\nAnswer: 6*h**5 - 6*h**4 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 27*z**2 + 26*z + 35. Determine s(26).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*i + 71*i - 109*i)*(2*i**3 - 6*i**3 + 3*i**3) to the form v*i**3 + a + d*i + h*i**4 + l*i**2 and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*f = 181*f - 78. Let r(s) be the first derivative of f - 4*s**2 - 10\/3*s**3 + 0*s. Find the second derivative of r(k) wrt k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 2*q + 11*q**2 - 10*q + 46 - 2*q**2.\nAnswer: 3*q**2 - 8*q + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 2226618?\nAnswer: 2226621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 32. Let q be (4*(p - -5))\/1. Solve -3*c + q = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9137*n + 40. What is the thousands digit of k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 4.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h**4 - 6321*h**3 - 3411*h**2 + 3801*h + 846 = 0. What is h?\nAnswer: -1, -1\/5, 2\/3, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f + r, -2*f = -6*f + 5*r. Let p be ((-4)\/(-40))\/(-2 - (-11)\/f). What is the nearest to p in 3, -5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*g**6 - 11*g**4 - 13*g**3 + 94*g**2 - 14*g - 1.\nAnswer: 840*g**3 - 264*g - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6210, 12376, 18554, 24738, 30922, 37100, 43266, 49414?\nAnswer: 55538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m. Suppose -x - t = -5*t + 9, -5*x = t - 18. Let n(b) be the second derivative of 0*b**2 + 1\/6*b**3 - x*b + 0. Calculate n(p(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25155 and 339.\nAnswer: 2842515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810343923 to the nearest integer?\nAnswer: 28467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18594130.\nAnswer: 2, 5, 181, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10*3*((-3344)\/66 - -49). Sort -1, -36, w, 0.\nAnswer: -36, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11142 or -226?\nAnswer: 11142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(-5 + -5 + (-5*sqrt(567) + sqrt(567) - sqrt(567))))**2 + 5)*-3.\nAnswer: 337500*sqrt(7) + 5353200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 - 169 + 327*q - 163 + 257 + 75.\nAnswer: 10*q**3 + 327*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1 - 24 = 0. Let h be p*6\/15 - (-2 + -1). Which is the closest to 1\/2? (a) h (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2085, 2226, 2439, 2724?\n\"Answer: 36*a**2 + 33*a + 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 48 = 48. Suppose v = 7*x - x - 18. Suppose 9 + 0 = -x*r. Sort 0, r, -5 in descending order.\nAnswer: 0, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.1 - -0.1. Let p = 29\/15 - 8\/5. Let u = 5 - 3. Which is the third smallest value? (a) l (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98018 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2201 - 2200.999997365. Round d to seven decimal places.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-370)\/45 + 4\/18. Is (-274)\/a + (-1)\/4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465.993 millennia in centuries?\nAnswer: 4659.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1308*z - 686*z - 657*z as k + p*z and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m**4 - 3*m + (10*m + 19*m + 6*m)*(-5*m**3 + 0*m**3 + 3*m**3))*(0 + 0 - 2).\nAnswer: 138*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -10. Suppose 3*c = -9, -4*c - 40 - 17 = -5*f. Suppose 2*s - f = -41. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 19*d**2 - 20*d + 25. Let j be i(18). Let b = -8 - j. Suppose 7512 = 2*o - b*s + 2*s, 0 = 5*o - 3*s - 18781. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229524.\nAnswer: 2, 3, 31, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/2 - 330\/(-22). What is the greatest common factor of m and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 7*n = -204. Suppose 2*t + n = 6*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 76230.\nAnswer: 304920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1647.425912 to 1 dp.\nAnswer: 1647.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 11043d0?\nAnswer: -11043cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.016? (a) -5 (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 4:26 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-5 + -1) - 6 - 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -5*t**4\/12 - t**2. Let u(c) = -32592*c + 16314*c + 16301*c. Give v(u(j)).\nAnswer: -230*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/5 + 236*r**4\/5 + 733*r**3\/5 - 3836*r**2\/5 + 2868*r\/5 = 0.\nAnswer: -6, 0, 1, 2, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 78*c + 1482. Determine s(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 165*q + 2316. What is p(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*m**3 - 20 - m**4 - 83*m**3 - m**4 + 234*m**3 - 74*m**3 to the form r + b*m + z*m**2 + g*m**4 + n*m**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and -19\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 + 1123?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 6. Let k = -3 - t. Let b be 6 - 7 - (k - 0). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 101 - 238 - 154 - s**3 - 88*s**2 wrt s?\nAnswer: -3*s**2 - 176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + sqrt(13)*2 + (sqrt(26)*-3)\/sqrt(2).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17))**(-4\/27) assuming y is positive.\nAnswer: y**(68\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 164, 403, 712, 1097, 1564, 2119?\n\"Answer: f**3 + 29*f**2 + 145*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.063 - -1.447. Let y = -1.71 + r. Which is the closest to -1? (a) y (b) -1\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + r - 81, 2*l - 2*r + 5*r = -54. Let q(a) = a**2 + 19*a + 35. Is q(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7676, 30718, 69114, 122858, 191944?\nAnswer: 276366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13201032 (base 4) in base 14?\nAnswer: -b31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 9, g: 2}. Give prob of sequence elll.\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 8. Let s be 2*7 + (16 - 17). What is the tens digit of u(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105518*k - 25*k**2 - 105518*k + 64*k**2.\nAnswer: 39*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**2 - 6*q - 5. Let f(g) = -50*g**2 + 37*g + 24. Give 38*d(x) + 6*f(x).\nAnswer: 4*x**2 - 6*x - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 9*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 15 - 30, 0 = 4*f - 5*q - 1. Let o(t) = -9*t - 52. Let i be o(f). Which is the third smallest value? (a) 1\/3 (b) -54 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305 + -148. Suppose m = 4*c - 23. Let s be 8\/c*3\/4. Put s, 3, -1\/5 in decreasing order.\nAnswer: 3, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 - 3*y - 2. Let v be (-4)\/40*4 - 107\/(-5). Suppose 9*z - 6 - v = 0. Calculate l(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57215842 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15*k - 10*k + 2296 = 0, 0 = 3*n - 2*k - 2299. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 601, -5, 143.\nAnswer: -5, 2, 4, 143, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3*8\/18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 433206*a - 11263018.\nAnswer: -(a - 866386)*(a - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 272 and -0.09.\nAnswer: 271.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 12:20 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2, 4*v - 18 = -3*i - 1. Suppose -w = -5*p - 55, 0 = p + w - 0*w + v. Let n be (9 + p)*(0 - 2). Solve 6 = -5*t + n*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 + (-3 - -6) - -2. Let y be m\/6 - (-1 + -1). Suppose -f = -10 - y. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 greater than 145806\/1823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*j*t**2 + 21*d**3*t + 3414*d**2*j*t**2 - 5*d**2*j - 2*d*j*t + 2 wrt t.\nAnswer: 4*d**3*j + 6828*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 15*f = -17*f - 78, 0 = 3*w - 4*f - 66. What is the lowest common multiple of w and 1518?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17116017151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*z - 5 - 27 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q. Let o(j) = -11*j + 32. Let b(i) = -2*i + 16. Let y(u) = -2*b(u) + o(u). Give 5*l(w) + 4*y(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*a + 21 = 85*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgggweegwggg. Give prob of picking 1 e and 1 g.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -3\/32, -10, 8, 5, 1?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 141, 0.3, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -228*l + 108. List the prime factors of q(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 5106*u**2 + 5121*u**2 + u**3 + 3*u - 10227*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4108 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -18 - (-1 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s*v**4 + 4*s*v**2 - 7*s*v - 1805*s + 2 wrt v?\nAnswer: -8*s*v**3 + 8*s*v - 7*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = h - 5*h - 15324, h + 11497 = 3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000218043422 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-12070)\/(-25)*5. Let p be 0 - (0 + y\/17380). Let o = -2\/395 - p. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/792*-21*5000\/(-8750).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**5 - 8322*b**4 - 58374*b**3 - 75168*b**2 + 225099*b + 450522 = 0.\nAnswer: -3, 2, 2781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 255780*w - 1279000.\nAnswer: 4*(w - 63950)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.031*1.3\nAnswer: -1.3403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-185)\/3 - ((-20)\/(-15))\/(-2). Let y = 59 + z. Which is the nearest to 1? (a) y (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (-8 + 0 + 7)) + 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 + 10*t**2 - 9*t + 9. Let g(b) = b**2 - b + 1. Let s = 13362 - 13364. Calculate s*m(k) + 18*g(k).\nAnswer: -8*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3273257 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 8, -49*d = 5*h - 52*d + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567 is divided by 60.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.935 - -5.935. What is the nearest to -1 in 2\/11, x, -132?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/7 (b) -10 (c) -15 (d) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {b: 1, z: 7, k: 3, v: 4, c: 4, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Solve -l*q = -3*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 312.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - -17 - 10) + -10. Let r(d) be the third derivative of -1\/20*d**5 + 0 + 1\/2*d**3 + 1\/4*d**4 + 0*d - 1\/20*d**6 + w*d**2. Find b, given that r(b) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {e: 1, d: 1, j: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -514, 1, -4, -41, 4, -9, 5 in decreasing order.\nAnswer: 5, 4, 1, -4, -9, -41, -514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i. Let z be j(0). Suppose z*o = -4*p - 2*o + 32, -5*p - 4*o = -46. Suppose -4*g = 4*l - 8, 5*l = -2*g + 1 - p. Is 6 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:34 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w - 133. Determine v(14).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*i + 25*i + 2*i)*(-90*i**2 + 23*i**2 - 69*i**2 - 120*i**2).\nAnswer: -13568*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69407, 69107, 68607, 67907, 67007, 65907?\nAnswer: 64607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1039682*o**4 - 5280550646*o**3\/3 - 15861573176*o**2\/9 - 29291912*o\/9 - 1504 = 0.\nAnswer: -1692, -1, -2\/2163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 60791736.11?\nAnswer: -60791727.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -15. Let c = -173 + 175. Let s(n) = 6*n**2 + 4*n + 2. Calculate the remainder when s(c) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -58*y**2 + y - y + 32*y**2 + 27*y**2. Let t(l) = -2*l - 6*l - l. What is t(p(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - i + 2. Let g = 6 - 3. Suppose 0*m = m - g. Let s = m - 1. Determine w(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/28*(-4)\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05776 rounded to 3 decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 - 56*q**2 + 5*q - 8. Let h be j(28). Suppose -144*a = -h*a - 216. Is 9 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let z(b) = -324*b**2 - 99*b - 99. Let l(o) = 13*o**2 + 4*o + 4. Let j(q) = 99*l(q) + 4*z(q). Determine j(p(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 383955 divided by 76791\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 1.79. Let q = -0.41 + w. What is q rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/12144 and -15\/102212.\nAnswer: 1226544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 + 241*j**3 + 54937*j**2 + 60433660*j wrt j.\nAnswer: 40*j**3 + 1446*j + 109874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -34893?\nAnswer: 34890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*h**2 - 104*h - 81336 wrt h.\nAnswer: 66*h - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 14. Suppose -45 + o = -4*k. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6*c + 2*c**2 + 2 - c**3 - c**4 - 5 + 4 to the form z*c + k + d*c**3 + p*c**4 + w*c**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*1)\/sqrt(6))\/sqrt(2) - -6*(sqrt(162) + 1)**2.\nAnswer: 109*sqrt(2) + 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 7.42, 1046?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -19788365*n - 2. Let c(y) = 3*y. Calculate f(c(l)).\nAnswer: -59365095*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110044, -109866, -109688, -109510?\nAnswer: -109332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45806?\nAnswer: 2, 37, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 41 = -29*s - 5*c, 4*s - 3*c + 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348595 is divided by 734?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27427140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 11*r**2 + 27*r**2 + 25*r**2 + 3 - 1. What is the tens digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 + 6*s - 4 = 0 for s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.9277303 milliseconds?\nAnswer: 0.000048795505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 108*v - 90. Let z(p) = -p**3 - 4*p**2 + 5*p + 2. What is the lowest common multiple of z(-6) and d(-55)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 7*y**2 - 16*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 7\/(28\/(-16)). Sort -3, -0.1, y.\nAnswer: -3, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -494, -882, -3, -1.\nAnswer: -882, -494, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 18 = -13*p. Let w be (-800)\/192*((-8)\/p)\/2. Suppose -w - 4\/3*j**2 + 5*j + 1\/9*j**3 = 0. Calculate j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 308.6 - 309. Suppose 0 = -3*r - n + 6 - 4, -3 = -4*r - n. What is the closest to r in -3.4, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 6*n + 10*n)*(5*n + 37*n - 7*n) + 4*n**2 - n**2 - 4*n**2 + (-3*n + 4*n + n)*(-3*n - n + n).\nAnswer: 238*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 6*c - 7. What is g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223504080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1340 + 1012. Suppose -4*i + i + 3*d = -q, -d = 5. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*(-4)\/((-8)\/(-2)). Find r, given that c*r**2 + 0 - 1\/4*r = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25301 is divided by 76?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -93*r - 7388. What is y(-74)?\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -43 - -61) + -122 + (2 - -8).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27357.5404 - 27353. Let c = n + -4.64. What is c rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:05 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 <= 34829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*h = -1485 - 3499 + 694. What is the highest common factor of h and 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111101000 - 1011111111110?\nAnswer: -110000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - r = 2*z - 1102, -5*r + 1090 = 5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Suppose -19 - 5 = 12*i. Let z(f) = -2*f. Calculate i*y(k) + 4*z(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72927 is divided by 1616?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = d - 2, -d + 0*w = 3*w - 16. Suppose 2*s + 0 = d, s + 119 = 2*u. Suppose l - 5*n - u - 56 = 0, -547 = -4*l + 5*n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40\/3*t**2 + 224\/3 + 632\/9*t - 2\/9*t**4 - 2*t**3 = 0. What is t?\nAnswer: -12, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009243 rounded to four dps?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -205*u + 1 + 71*u - 125*u + 13*u in the form s*u + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.04 (b) 3\/127 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*sqrt(33) - sqrt(33)))\/((sqrt(81) + sqrt(9))\/sqrt(3)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -2, 3, 0 in increasing order.\nAnswer: -2, 0, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 8*q + 5. Let g be c(8). Suppose 3*d + 5*i - 2 = 0, -5*d + 0*i - g*i = 0. Let b(u) = 17*u**2 - u. What is the tens digit of b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(128) + sqrt(128) + sqrt(128)*1*4 + -3*(2 + sqrt(2) - sqrt(2))*-5*6.\nAnswer: 48*sqrt(2) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*f = 454*f - 8372. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252761.997 rounded to the nearest 100?\nAnswer: -1252800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 150432 + -150427.96165. Let z = v + -4.05. What is z rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/5 - 1*3. Let w(s) = 5*s**3 - s**2 - 3*s + 1. Is w(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbb. What is prob of picking 3 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36718715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkkaagkava. Give prob of sequence ak.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.06, 0.7, 2, -466, 1 in descending order.\nAnswer: 2, 1, 0.7, 0.5, 0.06, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/4)\/3)\/((-3)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*w - 4. Suppose -2*a = 3*m - 5 - 3, 0 = -3*m + w*a + 20. Which is smaller: -2\/3 or m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i + 2. Let a be m(0). Suppose -15 = 3*o, -o - a*o + 225 = 5*c. Let h = -45 + c. Solve 0 = -5*g + 5*s + 5, 2*s + 2 = 2*g + h*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11917950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 1:45 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4156174.\nAnswer: 2, 11, 19, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -7. Does 8 divide g\/2 - 222\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/7 (b) 0.4 (c) -2\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11377 = -14*v + 9*v, 2*v = 2*m - 22786. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 + 168*d**3 - 329*d**2 - 498*d = 0 for d.\nAnswer: -1, 0, 3, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 193 - 891. What is the second derivative of -4*l + 2*l**5 - t*l**3 + 271*l**3 wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 492765858 to the nearest integer?\nAnswer: 22198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1440 and -12190.\nAnswer: -17553600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*n + 3*u + 13, -5*n + 2*u = -23. Let a = -17 - -12. Let r = -1 + -2. Sort r, a, n in ascending order.\nAnswer: a, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (-42 + 59) - 70.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 240. Let k = t - 113. Let n = -4 - -4.05. Which is the biggest value? (a) 2\/7 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*m - 8 = 0, 5*t - 32 + 36 = -m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/25 + 296*s\/25 + 121146\/25 = 0. Calculate s.\nAnswer: -183, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 86*w + 110 = 82*w, -5*m = 2*w - 440. What is the greatest common divisor of 2190 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21521898 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1966 divided by -41.\nAnswer: -1966\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(2*x**2 - x**2 - 14*x**2).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -546 divided by -13\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337207579?\nAnswer: 337207579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*u + 98, 2*f = -5*u + 46 + 44. Calculate the least common multiple of f and 175.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -471 - 669 - 62*d**3 - 3*d + 1250*d**2 + 65*d**3 - 183 + 73*d**2.\nAnswer: 3*(d - 1)*(d + 1)*(d + 441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 25*m**2 - 102*m - 11. What is i(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5 + 25. What is the remainder when 85 is divided by v*(1 - (-3)\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + m**2 + 3*m + 1. Let r(f) = -f**3 + f - 1. Let n(k) = 3*r(k) - v(k). Find the first derivative of n(q) wrt q.\nAnswer: -3*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**4\/4 + 2*w**2 - 29*w. Let b(q) = 11*q**2. What is z(b(c))?\nAnswer: 66*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**2 + 375*d + 9. Let z(i) = -2*i**2 - 188*i - 4. Determine 2*n(s) + 5*z(s).\nAnswer: -2*s**2 - 190*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.107 + 4.993. Let p = -22.1 + f. Let y = p - -15. Sort y, 4, 0.5 in ascending order.\nAnswer: y, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -370*w + 16201 + 20059. Suppose 7 = -2*a - 1, -4*a - 46 = -k. What is the remainder when w is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13405489 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k + 2*d - 0, 4*d = 12. Suppose -f + k*f - 30 = 0. Calculate the remainder when f is divided by 80\/14 - 4\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.18 < 217209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -245609 at least -245613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 8.7. Let d = -16.84 + 16.54. What is the second smallest value in -2\/5, -2\/11, t, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/2 + 38*d**3 - 983*d**2 + 9918*d - 68121\/2 = 0 for d.\nAnswer: 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 26*x**2 + 4*x - 27*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 298340 and 4262.\nAnswer: 298340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53113\/61215 - -4\/4081. Let b = -1084541\/40 + 27115. Calculate the common denominator of c and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474811 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 8, i: 1, h: 1, q: 4}. Give prob of picking 2 q and 2 a.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 22*t + 5*t**3 - 2*t**3 + 46*t - 28*t.\nAnswer: -2*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 4*f**4 + 1 + 6*f**4 - 5*f**4 in the form u + i*f**4 + s*f + z*f**2 + n*f**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -3*l - 11, z - 9 = 5*l. Is z <= 9\/710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:45 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3739 or 3632?\nAnswer: 3739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 132. Let b be (-2)\/5 + u\/15. Suppose -2*m + b = -m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3689\/177 - -1918\/59. Factor -15 - 5\/3*o**3 - b*o**2 + 85\/3*o.\nAnswer: -5*(o - 1)**2*(o + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -228355, -456719, -685101, -913507, -1141943, -1370415?\n\"Answer: -h**3 - 3*h**2 - 228348*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4929126 kilometers to millimeters.\nAnswer: 492912.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 4*c**2 + 3*c - 2. Suppose -3 = -5*t + 5*i + 2, 3*i - 25 = -4*t. Suppose t*a = -a - 15. Let f be u(a). Which is greater: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 1. Let f = -10 - -9. Let i be n(f). What is the third derivative of 4*b**4 - i*b**2 + 5 - 5 + 4*b**2 wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234184 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -25*h**2 + 7*h - 1. Suppose -4*d + 47 = 35. Let y be s(d). Let i = -65 - y. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2230 or -215\/136?\nAnswer: -3\/2230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 292 + -5?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 56310877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -1 + -3)\/(-1). Let f(s) = 2*s + 38. Is 13 a factor of f(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-792)\/(-858)*(-3)\/(-18). What is the second smallest value in 7\/52, 16, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let y(j) be the second derivative of 83*j**7\/2520 - 5*j**4\/2 - 61*j. Let a(p) be the third derivative of y(p). Give h(a(d)).\nAnswer: 13778*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 7*m - 5. Let o be j(-6). Let s be 2\/(-12) + o\/3. Let q = -2.9 - -3. Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -246.98.\nAnswer: 246.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2753 from -21.\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**5\/60 + w**4\/24 - 2*w**3\/3 - 7*w**2. Calculate the remainder when (3 - 44)\/(1 + -2) is divided by l(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.4, 3.18, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4381 + -0.1381. Which is the second biggest value? (a) -2\/5 (b) -1 (c) 4 (d) f (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 + 0*a**2 - 3*a**2 - 3*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26992 and 15424.\nAnswer: 107968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 3*b**4 - 2*b**2 + 15*b**3 + 0*b**4 - 13*b**3 to u + z*b**3 + s*b + d*b**4 + a*b**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-11) - (3 + -2). Let c = -28.384 + 28.584. Sort -1\/3, 0.4, c, m.\nAnswer: -1\/3, m, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 + 193. Suppose 2*b + 0 + 4 = -4*c, -3*c - 6 = w. Solve -3*g + 28 = -4*v, 40 = 5*g + b*v - 7*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 18 = -t, -p = 3*t + 3*p + 10. Let k(w) = -7*w. Let n be k(t). Let d = 24 + n. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 5*v = 124, 31859 - 31851 = 2*u + 2*v for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1678*v + 1609*v - 552 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -27, 379 in decreasing order.\nAnswer: 379, -15, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 11 + -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 3. Let j(h) be the third derivative of 11*h**4\/12 + 566*h**2. What is s(j(a))?\nAnswer: 88*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -0.5 in decreasing order.\nAnswer: 9, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 146*r**2 - 298*r + 150.\nAnswer: 2*(r - 1)**2*(r + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74552 and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, y: 13}. What is prob of sequence zzyz?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107750 and 13792.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -62. Suppose 3*h + n = j - 9, h = 1. Suppose -17*m + 5*m + j = 0. Solve -m*z + 5*z + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6\/y)**16*y**(-26)\/(y*y*y**(2\/29)\/y*y) assuming y is positive.\nAnswer: y**(1970\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-16)*t*t*t*t*t**(-2\/25) assuming t is positive.\nAnswer: t**(548\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 2 + 2 + (-4 + 3 - 1)*(-4*h + 0*h + 7*h) + (-2*h + 2*h - 2*h)*(5 - 2 - 2) - 5*h - h + 4*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.2 (b) -1 (c) 0.7 (d) 2\/7 (e) 5 (f) 104\/11 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.053 and 10.8322?\nAnswer: -0.5741066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/1207 + 1162\/18105. Let v(r) be the first derivative of t*r**6 - 10 + 28\/5*r**2 + 76\/15*r**3 + 16\/25*r**5 + 16\/5*r + 5\/2*r**4. Factor v(f).\nAnswer: 2*(f + 1)**2*(f + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 465217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 331143, 662282, 993421?\n\"Answer: 331139*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-3))\/((15\/3)\/(-5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbvvbbbvbbbvbbvbv. Give prob of picking 2 v.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:48 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 551*t**2 - 75684*t + 1720. Determine w(-290).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-1326)\/264 - -5). Suppose -j - 31 = -3*g. What is the remainder when 35 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 4*t**3\/3 - 2*t**2 + t + 1330. Let g = -9 - -4. Let d(y) = 2 - 1 + 3*y**2 + y - 4*y. Give g*d(l) + 4*a(l).\nAnswer: l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63031081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 30375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32a5a + a?\nAnswer: -32a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + 2 - (2 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185707070 rounded to the nearest 1000000?\nAnswer: 186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**2 + 57*a**2 - 349*a**2 + 206*a**2 + 40*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661761 (base 10) in base 2?\nAnswer: -110010101101101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -40, 4, -177 in decreasing order.\nAnswer: 4, -9, -40, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*s + 20 = s, -4*w = -2*s - 16. Let z be -17 + w*5\/(-10). Calculate the common denominator of (-40)\/z + -2 + (-539)\/90 and 64\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 5*m + 1. Let g be a(-6). Let c = 8 + g. Differentiate 7 - c*y**3 - 15 + 2*y**3 + 4 wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36576716 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4329 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 842528031 to the power of 1\/2, to the nearest integer?\nAnswer: 29026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 81, 217, 291, 177, -251, -1119, -2553?\n\"Answer: -21*q**3 + 95*q**2 - 2*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14000 and 697375?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*o + 6 = -2, 0 = o. Let q = r + 8. Suppose q*u - 280 = -u. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 1. Let d(n) = n**3 - 5 - n**2 + 2*n - 3*n**2 + 3 + 4. Let o = 3 + 0. Let y be d(o). Give k(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipwisiiiwgs. What is prob of sequence gw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -19*g**3 + g**2 - 36*g + 67. Give a(2).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10044199 and 306804624?\nAnswer: 3374850864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 882, 1316, 1746, 2172, 2594, 3012?\nAnswer: 3426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -83638?\nAnswer: -83634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 17 (c) -5 (d) -4 (e) -33069 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -339\/8 + 42. Suppose 4*m + 7 = 15. Suppose -3*n = -n - m. Which is the smallest value? (a) n (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143858.\nAnswer: 2, 11, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 24 = -4*h. Let k(j) be the first derivative of -j**4\/2 - 2*j**3 + j**2\/2 - 4*j - 217. Let o(x) = 2*x**3 + 7*x**2 - x + 5. What is h*o(v) + 7*k(v)?\nAnswer: -2*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26 - 12*v + 17*v - 9*v - 3 - 2*v. Calculate j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 9 = -7*f. Let v be 4\/(-10) + 12\/5. What is the second smallest value in -1\/8, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.05, 5, -17?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*w = 0, -8 = -3*g - 182*w + 181*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13133 - 319. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 4717*n + 5569*n + 1470*n + 3191*n.\nAnswer: 14947*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:32 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -7 + 543 + -537?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:01 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c**(-2\/13))\/((c\/(c**(-5)*c))\/(c*c*c*c*c**(-4)))*(c**10*c*c\/c**(3\/5))**(-9\/7) assuming c is positive.\nAnswer: c**(-9144\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*f - 202 = f, 3*u - 3*f = 120. What is the remainder when u is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g - 36. Let x be ((-66)\/(-55))\/((-86)\/40 - -2). Let s be d(x). Let y be (-3)\/(-6)*s*(-9)\/2. Which is bigger: y or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141139, 4, 2.\nAnswer: -141139, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-1)\/3*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 11*d**2 - 124*d. What is the remainder when 357 is divided by s(18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 + 6*r - 38. Let v be i(8). Suppose f + v = 13. Find the second derivative of -31*m + 35*m**f + 7*m**5 + m**5 - 35*m**3 wrt m.\nAnswer: 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1704 and 213.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/18 and 115\/86166.\nAnswer: 86166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.5 (c) 5 (d) -2.8 (e) 0.007 (f) -1 (g) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 = -0*t + t, 4*t = 4*a + 12. What is the nearest to 1 in 0.4, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmdmcmccnnmc. Give prob of picking 1 m and 1 c.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/11 (b) -1 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6177197, 6177181, 6177165, 6177149, 6177133?\n\"Answer: -16*c + 6177213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*((sqrt(28) + sqrt(28)*-1*4 - -2*sqrt(252))\/(sqrt(12)\/(sqrt(3) + sqrt(825)\/sqrt(11))))**2.\nAnswer: -20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-1))\/(7\/(5 - 19836)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.13204 - -0.93204. Let b = -0.2 - -0.19. Sort c, b, -2\/13, -4\/3.\nAnswer: -4\/3, c, -2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 160*t**2 + 228*t**2 - 19 + 240*t**2 + 14 in the form w + o*t + p*t**2 and give p.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 45383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 - 66) + 75 + -63.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 7. Let t(i) = 5*i - 104. Let n be t(20). Determine r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 70686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 221923.9 hours in microseconds?\nAnswer: 798926040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 189922 (base 11) to base 4\nAnswer: 1013013013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*h - 2. Suppose 12*y = 7*y + 5. Suppose -v = -h + y. Calculate the lowest common multiple of 3 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -62, -102, -142, -182, -222?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/(13\/195*-18).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 0, -25.\nAnswer: -25, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76043?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4131720 by -91816.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.59, -214, -4 in decreasing order.\nAnswer: -0.59, -3, -4, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*i + 1, 4*b - 7 = 5. Suppose -h + 3*k = -1 - 10, -3*k - 16 = -2*h. Sort i, h, 0 in descending order.\nAnswer: h, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.4 in 0.5, 2, -291\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.4 - 91.62. Let m = u + 15. Let t = 0.18 - m. Sort -14, 0.5, t in descending order.\nAnswer: 0.5, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 3*p + 2*p**2)*(0*p**2 + 3 - 7 + 2*p**2)*(-3 + 2 - 3) as y*p**4 + k + m*p + t*p**3 + w*p**2 and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74408941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -32, -96, -206, -374, -612, -932, -1346?\nAnswer: -1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 2*m**2 + 1 + 2.\nAnswer: -5*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -737802 >= -737800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 less than 6?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/12)\/(5\/(40\/(-3))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**5\/30 + 9*k**4\/8 - 40*k**3\/3 + 175*k**2\/3 - 22. Solve h(m) = 0.\nAnswer: 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t - 484. Let u(o) = -o + 4. Give p(n) + 4*u(n).\nAnswer: -2*n - 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.5 + -1.5. Let j = a - -20.59. Let w = 0.01 + j. What is the fourth biggest value in 1\/8, -1, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4815 is divided by 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44773, -89548, -134323, -179098?\nAnswer: -223873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-9))\/f)\/(f\/f**(2\/5)))**(-2\/139)*(f**0)**(5\/8)\/(f\/(f\/(f**0*f)))**49 assuming f is positive.\nAnswer: f**(-33959\/695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.53? (a) 20\/17 (b) 4 (c) -1 (d) -34\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8123744 is divided by 2470?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blr when three letters picked without replacement from {l: 3, r: 4, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-7))\/((-1)\/(-2)). Suppose 2*f = -5*i + o*f - 114, -3*i - 69 = -3*f. Let g = i + 14. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -1\/7*c**2 - 4\/21*c**3 + 0*c - 1\/14*c**4 - 61. Factor a(n).\nAnswer: -2*n*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b4856 (base 12) to base 4\nAnswer: 321223002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/332 and -47\/24.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, d: 4, e: 5, q: 6}. Give prob of picking 1 d and 2 q.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-5 - (4 + -7). Let k = -0.3 + 0.2. What is the closest to 0 in -4, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -1029*a + 2163. What is the tens digit of c(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -13*r - 2*i, r - i - 3 = 0. Let o(b) = b**3 + 3*b + 3. Let k(h) = 2*h + h**3 + 3 + h**2 + 2 - 3. What is r*o(c) - 3*k(c)?\nAnswer: -c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -29. Let r = -21 + 21. Sort r, b, -3.\nAnswer: b, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g**2 + 3*g - 5. Let w = -119 + 121. Does 41 divide z(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2532163247 and -0.06526.\nAnswer: 0.1879563247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offffffoofrfo. Give prob of picking 2 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5307 - -5306.97. What is the second biggest value in -5, t, -0.5, -4\/7, 4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 + -4)) + (-6 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125620, -502470, -1130566, -2009908, -3140496, -4522330?\n\"Answer: -125623*x**2 + 19*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*296\nAnswer: 79.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 3\/682, 14\/13 in decreasing order.\nAnswer: 14\/13, 3\/682, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17390 divided by -392\nAnswer: -8695\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21793, 43621, 65449, 87277, 109105, 130933?\nAnswer: 152761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58275191 to the nearest integer?\nAnswer: 7634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 61. Let s = -19.6 + p. Let u be 18\/(-4) - (-2 + 0). Which is the closest to 0.09? (a) u (b) 2\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163179, -163176, -163173, -163170, -163167, -163164?\nAnswer: -163161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = -5*l + 2*p, 4*l + 22*p = 27*p - 308. Let f(u) = 22*u + 3. Let w be f(-3). Are l and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 + -35. Calculate the common denominator of 2*((-1148)\/v)\/(-7) and -7\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -65. Calculate the remainder when 215 is divided by k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*d**2 - 76*d**2 - 77*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 328039.5 tonnes?\nAnswer: 328039500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 3. Let t = q + 2. Which is the second biggest value? (a) -0.3 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 7*w**2 - 20*w - 26. Let x be n(-4). Suppose 0 = -x*c + 8*c - 5*i - 1489, 0 = c + 3*i - 750. Calculate the greatest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23595, 94457, 212551, 377877?\n\"Answer: 23616*p**2 + 14*p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1775*z. Let n be k(-8). What is n rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (sqrt(176) + 0 + -4)*-3)**2*5.\nAnswer: -1200*sqrt(11) + 8420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*3*-3 - (sqrt(50) + sqrt(800)))**2*6 - ((sqrt(72)*1)**2*-3 - (sqrt(12)*1)\/sqrt(6)*4).\nAnswer: 4*sqrt(2) + 14088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x - 4*u - 34, 2*x + 3*u = -1. Suppose -x*l - 5*q - 34 = -11*l, 38 = 4*l - 3*q. Calculate the remainder when 31 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24*-3*(-4)\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r**2 - 2*r + 6 - r - 6 wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -27. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from yyyuyfuoey?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 156. Let z(u) = -27*u. Give p(z(i)).\nAnswer: -189*i - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/10*(11 - (-8)\/((-387)\/27 + 13))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.133 + 0.133. Let y = -0.41 + 0.01. Let c = y - 0.4. What is the nearest to o in -0.3, -0.5, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 63052*h**3 + 67970*h**3 - 2*h**2)*(-10 + 5*h + 10).\nAnswer: 24590*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -527*s + 1098. Let f(r) = 9482*r - 19767. Let n(c) = 3*f(c) + 55*m(c). Find the first derivative of n(y) wrt y.\nAnswer: -539","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 1) + 190\/(-5). Let d = 70 + l. Suppose 3*r - 5*b = 33 + 9, 2*r - 3*b = 28. Calculate the highest common factor of r and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x + 17 - 18 + 0*x**2 + 2*x**2)*(-1 + 2*x + 1 + (2 - 2*x - 2)*(1 - 6 + 3) - 3*x - x + 3*x).\nAnswer: 10*x**3 - 70*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7262 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 - 78*p + 24. Determine j(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2. Let g(t) = -25*t**2. Let k(b) = 20*a(b) + 4*g(b). Let f(o) be the first derivative of 2*o**3\/3 - 7. Calculate f(k(y)).\nAnswer: 800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 + 4?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/(l\/(l**(-4\/5)\/l)))**(-2\/11)\/((l**(-1))**43\/(l*l**(-1)*l)**40) assuming l is positive.\nAnswer: l**(4583\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266880 is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 870845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2040*r**2 + 51. Let y(h) = -157*h**2 - 4. Calculate -4*q(w) - 51*y(w).\nAnswer: -153*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.062 * 0.4\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -1?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(-140)\/35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72218731 is divided by 491?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -13. Suppose 20*s = -8*s. Solve m = -s*w + 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 27*u - 36 + 0*u**2 + 0*u**3 + 3\/4*u**4. Differentiate m(g) wrt g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 + -6 + 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 7\/4*f**4 - 3*f + 0*f**3 + 0*f**2 + 2. What is the derivative of j(m) wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 435479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 651 and 1530501?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-4)\/(-5))*1908\/(-742)*-21?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -313, 9 in descending order.\nAnswer: 9, -1, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96917.\nAnswer: 17, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1892 and 70875008.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1088, -1072, -1038, -980, -892, -768, -602, -388?\n\"Answer: p**3 + 3*p**2 - 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1061 - -1063. Suppose -3*a - 4*f = -0*a - 24, -4*f = 0. Calculate the smallest common multiple of o and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -372, -370, -368?\n\"Answer: 2*x - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4007890 to the nearest integer?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57562, 115885, 174208, 232531, 290854, 349177?\nAnswer: 407500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 - 4*h + 9*h - 100)*(61 - 61 - 20*h)*(-1 - 1 + 4) as u*h**2 + l*h + s and give u.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84998609314 + -84998609021.999999368. Let y = -292 + j. Round y to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2092 (b) 762 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1046, -1025, -994, -947, -878, -781?\n\"Answer: r**3 - r**2 + 17*r - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -449 + 143 + 152 - 2569*k + 154 in the form v*k + c and give v.\nAnswer: -2569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 5. Let r be f(-7). Solve 0 = -0*c - r*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w + 8*w**2 - 7*w**2 + 6 - 41. Let s be x(18). Suppose -47 = -2*b + s. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(99) + -3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((sqrt(640)\/sqrt(5))**2 + -4*(sqrt(32))**2 + sqrt(2)).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10*u**3 - 7*u**2 - 11*u + 12. Let g be i(9). Let x = -2744 - g. What is x rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 43 (c) 7 (d) 0 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*s + 65 = -91*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107486, 107488, 107492, 107498, 107506, 107516, 107528?\nAnswer: 107542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x - 4*x)*(5 - 5 - 1)*(-19 - 5 + 94).\nAnswer: 70*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -3111411014?\nAnswer: 3111411014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by -15.\nAnswer: -159\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 9 (c) 13758818\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004873 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -448771, -448790, -448809?\n\"Answer: -19*v - 448752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)*t**(-6))\/((t*t\/(t*t*t**2\/t))\/(t\/t**(2\/7))) assuming t is positive.\nAnswer: t**(-344\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/f*f\/(f\/(f*f**3))*(f**(-1\/4)\/f)**(1\/6)*(f**(1\/5)\/f*f*f**(3\/5))**(-2\/21) assuming f is positive.\nAnswer: f**(-239\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*t**2 + 21*t**2 - 64*t**2 + 177*t**2.\nAnswer: 227*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475651691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30250*u**2 + 30259*u**2 - 3 + 3.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let d(k) be the first derivative of k**6\/120 - 5*k**3\/3 - 9. Let g(z) be the third derivative of d(z). Give p(g(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.005.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368 and 28.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d*v**3 - 1083805*d*v + 7*d + 27113403 with respect to v.\nAnswer: 27*d*v**2 - 1083805*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6, -v + 427 = a - 632. Suppose -v = 19*z - 22*z. Let j = z - 244. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 2*p + 0*p)*(-14*p + 23 + 31*p - 18*p) in the form o + h*p + v*p**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 10}. Give prob of picking 2 u and 1 s.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038996?\nAnswer: 2, 23, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85538 is divided by 260.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/172 (b) 2\/5 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 1. Let b = 3 + -5. Let w be j(b). Suppose -2*d - 4*f + 58 = 0, 88 + w = 3*d + 3*f. Find the common denominator of 73\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11075 and 70?\nAnswer: 155050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457*p = -460*p + 39. Solve p*k - 16*k - b = 5, 4*k = -2*b - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p**2 + 4 + 4*p**3 + 4 + 10*p**2 to the form h*p + o + f*p**3 + t*p**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 46. Let u = a - -23. Factor -o**4 + 5*o**5 + u*o**2 - 4*o**3 - 11*o**3 - o**4 - 3*o**4 + 10*o.\nAnswer: 5*o*(o - 2)*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406006441?\nAnswer: 406006441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5880 and 1066485?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1521, -1, 1, 5, -0.6 in descending order.\nAnswer: 5, 1, -0.6, -1, -1521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6003*m**3 + 13*m**2 + 22*m - 34. Let d(s) = -2001*s**3 - 4*s**2 - 8*s + 12. Let b(v) = -11*d(v) - 4*o(v). Find the third derivative of b(w) wrt w.\nAnswer: -12006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 x when four letters picked without replacement from xxjjxjxxxjjjx.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 2 + 2)*(0 + 0 + 2)*(2 + 0 + 2)*(-4 + 3 - 1)*(-t**2 + 0*t**2 + 2*t**2) as n*t**3 + v*t**2 + g + z*t and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.326 - -0.63. Round b to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11221609, 11221618, 11221633, 11221654?\n\"Answer: 3*a**2 + 11221606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*q - 153*q = 65*q - 324 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 60 + 32 = 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.1. Let y = -550.7 + 520. Let v = -31 - y. Which is the closest to s? (a) 1 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (748\/(-3))\/((-3082)\/4830 - (-16)\/28) and 1496.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 284010?\nAnswer: 1420050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*q**3 - 12 + 9 - 18*q - 15*q**3 in the form f*q**3 + x + o*q**2 + l*q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6414 + -6414.4. Which is the fourth smallest value? (a) -2\/13 (b) 1 (c) 1.4 (d) 1\/2 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3618292953 rounded to the nearest one hundred thousand?\nAnswer: -3618300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*f + 2*v - 0, 0 = -f - v + 1. Find the common denominator of 157\/30 and (f\/12)\/((-6)\/111).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*b - 16382*b - 5441*b - 14050*b.\nAnswer: -36566*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.029 + -0.002. Let d = -0.02699884 + n. Round d to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 divided by 2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 813, 6530, 22041, 52242, 102029?\n\"Answer: 816*j**3 + j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 11222?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*i + 4, 93*x = -4*i + 90*x + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*((i**(-4)*i)\/i)\/i)\/i)\/i**(-3))\/((i**(-4)*i)\/(i**(-2\/3)*i*i*i)) assuming i is positive.\nAnswer: i**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 34*g - 442. What is c(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000820211 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17\/(x*x**(-19)))\/(x**(-18)\/x**26) assuming x is positive.\nAnswer: x**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20501779, 20501775, 20501771, 20501767?\nAnswer: 20501763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 58*h**2 - 7*h - 204. Determine d(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2331 + 2356 - (35 - (2 - 2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 69*o - 1. Is i(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s + 521. Let y(z) = -z + 22. Let d be y(22). Is c(d) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 756.4.\nAnswer: -756.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3389984 and -131\/2966236.\nAnswer: 23729888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 102041 (c) -1\/10 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67883843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.726 + 85.126. What is c rounded to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4870*(-10)\/4420 + 11. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:24 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riw when three letters picked without replacement from iiwwiiiirirr?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25427, -25429, -25441, -25469, -25519?\nAnswer: -25597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -993 - c - 9*c**4 + c + c**4 + 1306 with respect to c.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 3*n**2 - 5*n + 1. Let b be g(-4). Let y(h) = h**2 + 7 - b*h - 3 + 3*h + 3*h. Determine y(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -33. Suppose k*p - 4*g = -52, p + 20 = -p + 2*g. Let m be (-1)\/(-2) + (-18)\/p. Solve m*h = -5*f - 7, -3 = 2*f - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1771 and 16192.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-6\/7)\/s)\/s*s*(s\/(s\/s**(1\/2)))\/s)\/(s*s**(3\/5)*(s*s*s**(3\/4))\/s*s))**(-8) assuming s is positive.\nAnswer: s**(1878\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 2, q: 3, v: 3, h: 6}. What is prob of picking 1 q and 1 h?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.255 times -73?\nAnswer: 47687.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:59 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) -0.5 (d) -13 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 1731, -5, 0 in decreasing order.\nAnswer: 1731, 0, -5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Let b = 860 - 860. Suppose -2*t + 2 + 2 = -k, b = 3*k - l*t + 7. What is the smallest common multiple of k and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4146, -9787, -15400, -20973, -26494, -31951, -37332, -42625?\nAnswer: -47818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 839295746 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57.2 - 57. Which is the third smallest value? (a) -3 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*w + 144*q + 16 = 147*q - 26, -35 = -2*w - 5*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + 4. Suppose -3*w = j*w - 20, -2*w - 97 = -5*n. What is the smallest common multiple of 33 and n?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*(sqrt(1700) + 0)**2*-5 - (-1*(sqrt(1700) + 1) + 4)) + 3.\nAnswer: -33991 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1 - (8 + -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-12)*-2*-30. Let h be -1 + (-1)\/(-1) - -8. What is the highest common factor of h and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (85 - (0 - -9)) + 1 + 0. What is the least common multiple of 3 + (-80)\/8 + q and 5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**3 + 2*f**2 - f - 1. Let a be d(1). Let u(h) = 2*h**3 - 3*h**2 + 2*h + 2. Let s be u(4). What is the highest common divisor of a and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121335507 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 11 = 1. Let x(z) = f*z**2 + 10*z - 4*z**2 - 18 + 17. What is the tens digit of x(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 19*a**2 + 18*a + 24. Let y be q(18). Does 4 divide ((-12)\/y)\/(1\/(-26))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6158 (base 10) to base 5\nAnswer: -144113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2521*c + 447*c - 3243*c = -21268. Let 3\/7*t**c + 2523\/7 - 180\/7*t**3 - 5220\/7*t + 2874\/7*t**2 = 0. Calculate t.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-12))\/1 + (-1386)\/88.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 4*k - 93. Let h be s(-6). Put -5, 4, h, -4 in descending order.\nAnswer: 4, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3487 less than -3?\nAnswer: -6.3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2960 - 2549. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 73884 * -9.04\nAnswer: -667911.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5288204 divided by -2.\nAnswer: 2644102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 10. Let o = -45 + 61. Suppose -q = -2*s - 0*q + 290, -4*q = o. Calculate the highest common divisor of d and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32316 is divided by 45?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52594662 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2 - 97*y - 9. What is a(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnfnnnffff. Give prob of sequence nf.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:54 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5411979329.\nAnswer: 5411979329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(13) + 2 - (sqrt(13) - (sqrt(468)*-1 + sqrt(468))**2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let b(m) = m**3 + 8*m - 9. Let a be b(4). Let l = 85 - a. Which is greater: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74840 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 123094994.9 to the nearest 100000.\nAnswer: 123100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*k, 5*i + 7*k = 4*k + 9. Suppose 15 = -5*p + 5*f, 0*p = 2*p - i*f + 11. Suppose -p*r + 0*r = -2. Solve 0 = 4*d + 5 - r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1, -21, -2 in ascending order.\nAnswer: -21, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-54))\/11*(-30)\/(-5).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*w + 57, 2*w - 4*q + 2 - 8 = 0. What is the smallest common multiple of 3 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55042 and 179452?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1217301, -1217253, -1217205, -1217157, -1217109?\n\"Answer: 48*u - 1217349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 961, 960, 959, 958, 957, 956?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 2*t + 3. Let q be j(2). Let z(s) = -s**2 - 7*s - 4. Let w be z(q). What are the prime factors of 4\/w + 132\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 36590*r**2\/3 + 1396918*r - 39873894.\nAnswer: -2*(r - 57)**2*(r + 18409)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s + 338. Give r(28).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - f + 1. Let o(l) = 4*l**2 + 44*l - 5. What is -o(j) - 6*y(j)?\nAnswer: 2*j**2 - 38*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1253.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klgk when four letters picked without replacement from gvwkglkkll.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**2 - 5*y**6 - y**2 + 0*y**2 wrt y?\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 155. What is the least common multiple of (-124)\/(-8) + (-2)\/(-4) and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 5*h + 10, q = 2*h + 3. Let l be 0 - -69 - 3*q\/(-15). Suppose -2*c + l = 3*c. What is the remainder when 22 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30412 + 342*r**2 - 30412.\nAnswer: 342*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*r - 7649 = -y, -3*r - 1028 = 2*y - 1155 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*p - 9 = 0, -4*o - 5 = -p - 14. Let a(s) = 543*s**2 - 2*s. Is a(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -29?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -72*m + 47. What is s(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 36*c - 12. Let z be b(0). Let j(d) = d**2 + 8*d - 41. Give j(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.55 + 0.1. Let c = k - 0.05. What is the closest to 0.1 in 3\/4, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/59 (b) 1\/3 (c) 2 (d) -24 (e) 297 (f) 1 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18061*k + 4*k**3 - 18061*k + 2*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24077 divided by -4?\nAnswer: -24077\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 271*z**4 + 1873 - 1871 - 299*z**3 + 300*z**3 + 3*z**2 in the form l + n*z**3 + x*z**4 + t*z**2 + g*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a, -51 = 6*p - 9*p + 4*a. What is the remainder when 83 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 0.05437?\nAnswer: -0.25437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q + 592 - 610 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*h + 5*k - 191, 19*k + 21 - 5 = 23*k for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = -28*k + 17*k. Calculate the greatest common divisor of k and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w + 15. Suppose -7 = 7*k + 28. Are k and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32166 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b**2 - 50*b + 55. Let x(d) = d**2 - 2*d. Let z(w) = -w**2 + 3*w. Let q(n) = 3*x(n) + 2*z(n). Let j(i) = -o(i) - 6*q(i). Factor j(s).\nAnswer: 5*(s - 1)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:24 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/2953374 and 149\/4986.\nAnswer: 8860122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 6*f + 2. Which is the nearest to 2\/5? (a) f (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3269\/11 + -297. Let l be -4 + (-4)\/10*(-30)\/(-12). Which is the smallest value? (a) l (b) 2.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 7*y**2 + y - 4. Let s be u(7). Is (s\/1)\/9*267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 1, 0.0423 in decreasing order.\nAnswer: 1, 0.0423, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*p - 76 = 0, 2*u - 11 = -5*p + 42. Suppose -o = -4*d - 46, 2*o = -4*d + 116 + u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -76459.\nAnswer: 38229.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:20 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y, 0 = 3*n - 8*n - 2*y - 19. Let c(u) = -9 - 68*u**2 - u + 2 + 100*u**2 - 34*u**2 - 5*u. Calculate c(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-5)\/((23400\/(-2480))\/(-39))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 4\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3080b + 46?\nAnswer: 30853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*-1*(-3 + 3 + (-1 + sqrt(245) + 5)**2 + sqrt(245) + sqrt(245))*1.\nAnswer: 420*sqrt(5) + 1566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320013 (base 5) in base 4?\nAnswer: -32002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -335174, -335177, -335182, -335189?\n\"Answer: -j**2 - 335173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/7110008 and 31\/2.\nAnswer: 7110008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (3 + -26) - 22) + -20 + 15 + -19?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -4. Suppose -4*s = -2*m + 14, -5*s + 0*s = -m + 10. What is the third derivative of 3*o**5 - 4*o**5 + 6*o**u + 4*o**m wrt o?\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, x: 6}. Give prob of picking 3 x.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-1)\/18*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 36. Let s be j(17). Solve -i = 3*i + s*t + 20, 14 = -2*i - 3*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -6.7, -3\/2?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((164\/4715*23)\/((-12)\/(-10)))\/(70\/(-6))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10712 and 3874.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/8 - 165*q\/8 + 126.\nAnswer: 3*(q - 48)*(q - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4171, -8519, -13205, -18397, -24263, -30971?\n\"Answer: -28*v**3 - v**2 - 4149*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 530.6 times -70\nAnswer: -37142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -226 and -8114666.\nAnswer: -8114892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/(z**7\/z)*z)\/z)\/((z\/((z**(-1\/43)*z)\/z*z))\/z))\/(z\/z**2*(z\/z**(-13))\/z) assuming z is positive.\nAnswer: z**(-603\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2))**(-20\/7))**(-2\/41)\/((r**5*r)\/((r*r**(-5)*r)\/r)*(r\/(r\/(r\/(r**3*r))))\/(((r\/(r*(r\/(r\/((r\/r**(-1\/2)*r)\/r)))\/r))\/r)\/r)) assuming r is positive.\nAnswer: r**(-5493\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b + 6*b + 3 - 2 - 27 in the form u*b + c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11901781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/5, 5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1811*d**3 - 6*d**2 - 2*d + 8. What is the tens digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*y - 1465*y - 4368*y = 17659*y + 2012314 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 523.7144t?\nAnswer: 523714400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -11. Suppose -3*p = -z*p - 21. What is the remainder when 25 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q + 7. Let z(k) = k - 1. Let n(w) = -2*h(w) - 14*z(w). Let o(s) = -3*s. What is o(n(i))?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = 4*q, 0*q + v + 15 = 4*q. Let p(l) = -l**3 - 2*l**2 + 5*l. Let o be p(-4). Let w = o - q. Calculate the smallest common multiple of 12 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9065 and 10995845.\nAnswer: 9065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*l + 20. Let m be -2 + (-2)\/((-6)\/l). Find the third derivative of -4*o**2 + 8 - 8 + 5*o**m wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 h when three letters picked without replacement from {h: 12, g: 6}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -6*o. Let q be o\/(-3) - 11\/(-3). Suppose -q*k = k - 15. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by (-17 + 14)*(-4 - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/5 bigger than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131265132 is divided by 2245?\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - x - 142 = 515, 5*n - 3330 = -4*x. Let d = -491 + n. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010000 (base 2) to base 6.\nAnswer: -2052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -31966.56851 and 198.\nAnswer: -31768.56851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/22 - (-78)\/429?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/2 + 3787376*a + 7172108482688 = 0. What is a?\nAnswer: -3787376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -3.74. Let d = -3.89 - 0.11. Let w = d - l. Which is the nearest to 0.1? (a) -0.4 (b) 3\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 0*q + 2*q**2 + 2*q - 6*q**2 + 0*q**2 - q**2 + (-q - 1 + 1)*(-2*q + 0 + 0).\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.43375342 - -3312.\nAnswer: 3310.56624658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -23*p + 43. Calculate h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13b2e - -4cd?\nAnswer: -13661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 9*m + 4*m - 64741, 12 = 4*m. Suppose -6*i - 5107 = -y. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 21956312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + (-4 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32760\/11 - -2979. Put 0.4, m, 2, -0.2, -0.5 in descending order.\nAnswer: 2, m, 0.4, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6816 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)*b)\/b)**(2\/29)*(b**4\/b)\/(b*b**16*b) assuming b is positive.\nAnswer: b**(-449\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/5256 and 49\/7209480.\nAnswer: 21628440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 0, 2*m - 457 - 297 = -3*y. Suppose -2*x - y = -4*t + 3*x, 2*t + 2*x = 108. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 16, -4*q - 82 - 50 = -4*o. What is the remainder when o is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f - 3100546 + 3100546.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/84)\/(-8)*-9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*t + 5 + 10, t + 5 = -2*o. Let q(r) = -r**2 - 2*r. Let b be q(-3). Put -4, b, o in increasing order.\nAnswer: -4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/(l\/(l\/l**(-3))))\/(l**(1\/3)\/l*l*l))**(-1\/9) assuming l is positive.\nAnswer: l**(-17\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4961144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-30)\/(-4))\/((-14)\/(-140)). Let d = -31 + u. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 + 19*s**2 + 248*s + 1768. Determine t(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2 - 5)*(-3)\/3. Let d(q) = -q**3 - 3*q**2 + 3*q. Let i be d(-4). Let g be 1 + -2 + 18\/i. Is s <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/19)*x)*x**8)\/(x**(-4\/7)\/(x**7*x))*(x**(2\/9)\/x)\/(x*x*x**(2\/9))*x**(2\/3)\/x**(1\/3) assuming x is positive.\nAnswer: x**(5506\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:53 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 20. What is the nearest to -2 in -2\/7, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x - 1. Let y(p) = p**2 + 4*p. Let c be (33\/(-5) - -7) + 12\/20. Let g be (56\/(-42))\/(2\/3). What is c*y(n) + g*q(n)?\nAnswer: -n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t. Let a(k) = 20*k + 66*k**2 + 72*k**2 - 20*k. Give a(i(h)).\nAnswer: 138*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (4 + -13 + 13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51576 and 598584.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53.7797 and 120.\nAnswer: 173.7797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - 7*d)*(0*d**3 - 2*d**3 + 1 + 6*d**3).\nAnswer: -12*d**4 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2371 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271826.7km to nanometers.\nAnswer: 271826700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(2\/19))**(-3\/32) assuming h is positive.\nAnswer: h**(-27\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.7. Let y = l + 0.7. Let f = y + 1. Is 0.1 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (99 - -3) + 1118 + -1147?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5451.76 - -0.1673407?\nAnswer: 5451.9273407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcmwccbbwcwswwubc. What is prob of sequence bbb?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbmhhhmhhmwhjmhh. What is prob of sequence jjwj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t - 23. Calculate the remainder when x(3) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-28) + 24\/42\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/3)\/((-28)\/(-420)). What is the highest common factor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2569*a + 2729*a + 4 + 4 to j*a + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t. Let w(k) = -5*k. Suppose 2*d + 194 - 816 = 0. Suppose 10*m + d = -59. Let u = -44 - m. What is u*x(v) + 6*w(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvmvvmmvvmmv. Give prob of sequence mv.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.53796 rounded to 1 dp?\nAnswer: 22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2. Suppose 3*t = 13*t + 10. Let m(i) = 469*i**2 - 804*i - 402. Let x(d) = d**2 - 2*d - 1. Let u(h) = t*m(h) + 402*x(h). Calculate u(g(p)).\nAnswer: -67*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68, 67, 74, 95, 136?\n\"Answer: m**3 - 2*m**2 - 2*m + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + v - v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.1765 to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -747*-4\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**3 + 7*w**2 + 2*w + 14. Let v(n) = -20*n**3 + 20*n**2 + 6*n + 41. Determine -17*h(r) + 6*v(r).\nAnswer: -r**3 + r**2 + 2*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -297*m**3 + 19 - 5*m**2 + 83*m**3 + 12*m + 6 + 3*m**2. Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(175))*-4)**2 + (3*sqrt(28)\/sqrt(4) - (sqrt(1008) + 2 - sqrt(7)))**2*-2.\nAnswer: -1504*sqrt(7) + 24440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2 - 22 - (1382 - 1409)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 9 - 2\/39*m**3 - 5\/13*m**2 - 8\/13*m. Solve s(h) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1685, -0.01, -3 in ascending order.\nAnswer: -3, -2\/13, -0.01, 1685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 9*l + 45 + 204 = 18 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*(-40)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -41. Solve 4*j - 7*v + 40 = -2*v, m = -2*j + 3*v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 213.8 + -210.8. Put 47, j, 1, -6 in increasing order.\nAnswer: -6, 1, j, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 7*g**4\/4 + 9*g**3 - 927*g + 4. Differentiate s(l) with respect to l.\nAnswer: 21*l**2 + 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d*z**3 - d*z**2 - 55*d + 13*z**3 + 4*z wrt z.\nAnswer: 42*d*z - 2*d + 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242 (base 5) to base 6.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {t: 1, e: 1, y: 2, s: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5546693 or 2\/7?\nAnswer: 5546693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let l be ((-1)\/(-3))\/(1\/6). Let q(j) = 6*j**l - 1 + 8 - 2*j**2. Let b(n) = 3*n**2 + 5. Let p(a) = -7*b(a) + 5*q(a). Calculate p(t(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*h - 37. Suppose 4*c - h + 3 = 0. Suppose -5*z = -24 - c. Solve -3*f - 24 = -z*y, 4*y - 4 = -3*f - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 6*2 - -1. Let q be 9 + ((-1402)\/164 - (-6)\/123). What is the closest to q in -2, k, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/20 and -48\/55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889*k = -1200*k + 20575 - 74889 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4173033725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 722567, 722560, 722539, 722498, 722431, 722332?\n\"Answer: -p**3 - p**2 + 3*p + 722566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15 = -0*l, -51 = -4*f - l. Let y(x) = -x**3 + 13*x**2 - x + 17. What is the smallest common multiple of y(13) and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 16*l - 48. Let z(q) be the first derivative of 4 + 1\/2*q**2 + 3\/4*q + 1\/12*q**l. Solve z(w) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**3 - 5*d**2 - 12*d + 2. Let c(x) = -11*x**3 - 11*x**2 - 25*x + 5. Determine -2*c(z) + 5*p(z).\nAnswer: -8*z**3 - 3*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:36 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 0 + -9 + -20 - 7 - -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417244729.\nAnswer: 11, 283, 134033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 1, f: 1, c: 2, p: 5, z: 4}. What is prob of picking 1 z, 1 f, and 1 y?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:13 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2645 and 3411521.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*h + 8242 + 2938 = -196*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488161392.\nAnswer: 2, 3, 17, 107, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563172 to the power of 1\/2, to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12*60\/(-160)*4\/171. Do x and 40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 828 and 27988416.\nAnswer: 643733568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 5420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 401001319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -2\/35 (c) 5\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 16*g - 12. Let t = 14 + -12. Let a(n) = -3*n + 3 + g*n**2 - 4*n**t + 2*n**2. What is a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-33)\/11*2\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 + u**3 - 23*u**2\/3 + 13*u\/3 - 2\/3.\nAnswer: (u - 1)*(u + 2)*(3*u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 198333943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-263)\/(-6) + 2\/12 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*v - 30, -c + 4*c = 5*v - 46. Suppose -5*h + 7 = 3*u, u - 1 = 5*h + v. Let d(l) = -l**3 + 4*l**2 + 2. Give d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-175))\/(2\/(-5)). Let b = o - -1574\/385. Find the common denominator of 6\/(-4)*(-218)\/(-66) and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48582 is divided by 240.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2)*g)**12\/(g**(-1)*g)**(-4\/9) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3694246*u. Let q(b) = 16*b**2. What is g(q(z))?\nAnswer: 59107936*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhzz when four letters picked without replacement from hzhhhhzhhzhxhzhhzxhh?\nAnswer: 13\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/(-5))\/(-27 - -17)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 211211220010200?\nAnswer: -211211220010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 2513129, -2.\nAnswer: -4, -2, -1, 2, 2513129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0363032 to three decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0141 plus -4153902?\nAnswer: -4153902.0141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrdl when four letters picked without replacement from vlrlllldhllrdldlv?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/11 - (-303)\/33. Let f(z) = -z**3 - 3*z**2 - 9. Let q be f(-6). What is the highest common factor of g and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isw when three letters picked without replacement from {z: 2, w: 2, i: 4, s: 5}?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4)*-1)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018203 rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18065 is divided by 203.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1032\/1204)\/(36\/(-28))*84?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*(p*p\/(p**(1\/3)*p))\/p))\/p)**(-5\/8)\/(p**5\/(p\/((p**(-7)\/p)\/p))))**(11\/6) assuming p is positive.\nAnswer: p**(715\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 5*t**2 + 13\/24*t**4 - 1\/10*t**5 + 0*t + 0*t**3 + 0. Find the second derivative of k(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 1 + 7 - 10*o + (5 - 1 - 3)*(-3*o + 2*o + 0*o).\nAnswer: -11*o - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62903 = 10*c - 5707. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 200627080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488.1 + 0.02.\nAnswer: -488.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -28.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95.000124 - 95. What is q rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9612696 is divided by 21997.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.980012 to zero dps.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17257 - 1?\nAnswer: 17256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 131.8. What is a rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*t + 15*d + 11983087*t**4 - 1533942 wrt t.\nAnswer: -2*d + 47932348*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 4. Let l be d(4). Let k be 2\/l*10*-3. Solve k*j + 13 - 3 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10 + 38\/10. Suppose 0 = -0*i + y*i - 596. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -598658.\nAnswer: 3\/598658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 7*u - 19*u + 124, 38 = -x + 3*u. Put -2, 1, x, 0 in increasing order.\nAnswer: x, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 5*o, -4*o + 3*u = u + 8. Let q be 386\/o + (-10)\/(-30)*5. Which is smaller: q or -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-2*sqrt(1372) - sqrt(1372))\/(sqrt(48)\/sqrt(3)))**2 + (sqrt(140)\/(2*sqrt(10)))\/sqrt(2)*1).\nAnswer: 5*sqrt(7)\/2 + 15435\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 592?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9*m + 7. Suppose 0 = -3*u + 4*u + 3. Let q = 0 - -7. Let g(d) = 4*d - 2 - 1 + 6. Give q*g(s) + u*r(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.083 and 5\/473 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, -1473, 1, -3, -7 in increasing order.\nAnswer: -1473, -7, -3, 1, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -5*h**4\/24 + h**3\/3 + 51*h**2. Let f(g) = 14*g - 5. Give -3*f(z) - 8*u(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 82\/16)*15 + 14\/(-28)*6.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576252478?\nAnswer: 2, 288126239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.4, -502\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.09, 8678?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1434 + -2?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 6. Let m be z(3). Suppose 0*p = -3*p + 48. Suppose m = o - 4, 3*b + o - 3 = p. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 75 = -13*u. Suppose -2*z + 3*p = -5*z + 18, -u*z + 4*p - 17 = 0. Sort -4, -5, -2, z in increasing order.\nAnswer: -5, -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 116*q**2 - 4. Let m(f) = -f**2. Calculate m(y(g)).\nAnswer: -13456*g**4 + 928*g**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 75 = -r + 6*r, -5*v + 5*r - 35 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1740)\/2088)\/(((27\/3)\/27)\/(-42)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(3\/(-828)). Suppose 4*t - 108 = -4*z, -5*t + m = -4*z - 16. Solve 4*h + 28 = 5*d, 4*h = 4*d - 0*h - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296466 or 0.09?\nAnswer: -296466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - -1)\/((-8)\/(-6)). What is the highest common factor of n and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 8*c + 20. Let v be z(9). Suppose v*l - 39664 = -26*l. Round l to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*x = -38, 145532*o - 145533*o + 6 = -x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3285 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 1\/4 (c) -0.09 (d) -0.4 (e) 201\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -23, -36, -51, -68, -87?\n\"Answer: -t**2 - 8*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.79 + -0.21. Let y = -1 + h. Let t(n) = -n**3 + 5*n**2 - 2. Let a be t(5). What is the closest to 0 in a, y, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Let i = 8 - o. Let c = i - 3. Solve t + 4 = c*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11851123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 - 444548*i + 19552368 = 0. Calculate i.\nAnswer: 44, 111093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477.9 plus -0.16?\nAnswer: 2477.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -357359 - -357382.79765. Let a = y - 23.8. Round a to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2208, 1\/10, -78 in descending order.\nAnswer: 2208, 1\/10, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*u - 3975 = -68*u. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 11*o**2 - 41.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 78926, 1235, 1 in ascending order.\nAnswer: 1, 1235, 78926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -4. Let j = 1 + 1. Suppose -3*x = -j*a - 2*x - 2, 16 = -3*a - 5*x. Is b less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 8*h + 90. Let t be 2\/(-6) - (-107)\/6. Let k = h + t. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -48*n**2 + 0*n**3 + 1\/3*n**4 + 1\/84*n**8 + 3\/10*n**6 + 7\/15*n**5 + 2\/21*n**7 + 0*n + 0. Factor m(z).\nAnswer: 4*z*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -111213114124?\nAnswer: 111213114140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4798023 litres?\nAnswer: 479.8023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585, -624, -717, -888, -1161, -1560, -2109?\nAnswer: -2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21740294 is divided by 530251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3, -151, 2\/5, 82, -2\/61?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**5\/180 + n**4\/6 - 2*n**3 + 271*n**2. What is r in t(r) = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 7:05 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -31. Suppose 0 = 4*h - 2*p - 30, q = 2*h - 4*p - p. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 741710677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 + -1775.\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2377*o + 2 = 2378*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/20 + 7*j**4\/6 - 19*j**3\/6 - 16*j**2 - 14*j. Calculate the lowest common multiple of 20 and b(-15).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565.879282 rounded to the nearest ten?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-123)\/(-1) - 12\/4. Let m = -118 + u. Sort -4, 0, m, 4.\nAnswer: -4, 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4292, 3, 4 in descending order.\nAnswer: 4292, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + o + 69. Let y be k(6). Which is the biggest value? (a) -3 (b) y (c) 28 (d) -2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 4*z - 4, 5*c + 78 = 2*z. Let g be 4\/22*c\/32. Let y = -0.07 - 3.93. What is the second biggest value in g, y, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 254*u**2 - 3*u - 1. What is the hundreds digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 2*d - 395. Suppose 13*q + 631 = -1670. Let x = d + q. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -3*c**8\/28 - 5*c**4\/12 + 7*c. Find the third derivative of j(d) wrt d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + u + 10 = 0, 17*f - 15*f - 20 = 4*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*o**3 + 11*o**3 + 9*o**3 + 5*o - 3 - 1 in the form g*o**2 + z + h*o + p*o**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -5.62, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -129\/7 at most as big as -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzoo. Give prob of sequence ooz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + d = -5 - 1, -2*j - d = 0. Let a = 54 - j. Suppose a = -0*s + 2*s. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*r**3*w + 9*r*w + 2*w + 29 wrt r?\nAnswer: -24*r**2*w + 9*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t + 0 + 7\/80*t**6 - 1\/2*t**3 - 7\/16*t**4 - 4*t**2 + 1\/20*t**5. Factor h(v).\nAnswer: 3*(v - 1)*(v + 1)*(7*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 94*s**3 + 44*s**2 + 82*s - 4. Determine z(-2).\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0436443 rounded to three dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a day in minutes?\nAnswer: 18360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10 (b) -5 (c) -23 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let v(j) = -14246*j + 7140*j + 6939*j. Give u(v(l)).\nAnswer: 334*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * 29.02.\nAnswer: -2524.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624849 is divided by 104132?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40970055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c**2 - 3*c - 2. Suppose -z - 2*x = 1, -3*x = 3*z - 7*x + 13. Let h = z + 1. Let s be a(h). Solve -3*w + 3*b + b = -19, w + 5*b = s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2)*t)**5 assuming t is positive.\nAnswer: t**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-14))\/(9\/(-390)) + 3. Let h = -1.6 + 1.2. Put i, -5, -0.3, h in decreasing order.\nAnswer: i, -0.3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2501 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfr when three letters picked without replacement from zxfrwxrz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*i + 89*i - 6*i)*(-5*i**2 + 3*i**2 + i**2).\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7120 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 3\/(-1)) + -3. Let q be 5800004 + g\/((-2)\/(-8)). What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**3 - 32*c**2 - 11*c + 32. Let g(k) = 3*k**3 + 15*k**2 + 6*k - 16. Let x(w) = 9*g(w) + 4*o(w). Suppose x(t) = 0. Calculate t.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1648*o - 97140 = -1663*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419004\/11 equal to 38091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148714519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -4 (c) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -8. Calculate the remainder when 53 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638789?\nAnswer: 3, 546263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18420)\/15657*1360\/(-25)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 - 0.05. Let u = r + 0.01. Let k = 1532\/13 + -118. What is the second smallest value in k, u, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - y**2 - 31 + 100*y - 380*y in the form g + i*y + n*y**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(160) - sqrt(160))\/sqrt(4))\/(sqrt(24)\/(sqrt(9)\/sqrt(3)*-1)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*j + 130. Let c = j + 48. Suppose -5*z = 5*l - 130, -4*l + l + 2*z + c = 0. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q*q**(3\/7)*q))))\/q**(1\/5)*((q\/(q**(-1\/12)\/q*q*q*q))\/q)\/(q*q**(-20)\/q*q) assuming q is positive.\nAnswer: q**(6491\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 2 = -2*j. What is the remainder when 42 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y. Let t be 4\/(-26) + (-10642)\/(-221). Let m(w) = -27*w + t*w - 6*w. Calculate c(m(o)).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, q: 12}. Give prob of sequence wqq.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.01 + 14. Let d = 4.01 + w. What is the second smallest value in -0.3, d, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 659 + -4c29?\nAnswer: -45a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11024 and 208?\nAnswer: 11024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828862508 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -712, -1395, -2052, -2683, -3288, -3867?\nAnswer: -4420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134802 and 32679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3200*b + 37637 = 2044*b - 554935 for b.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - 61 - (11 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -129*y**3 - 229*y**2 - 1153*y - 10. Does 39 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d. Let k be p(2). Suppose k*s - 25 = 7*s. Suppose 0 = -4*n - 4*g + 308 - 92, -5*n + s*g + 290 = 0. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 + 58372\nAnswer: 58547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116*n**3 - 1190 with respect to n.\nAnswer: 348*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-2 + -5 + 9. Let k be 1*d*(-22)\/(-4). Suppose 3*g = -5*m + 47, 2 = g + m - k. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 94 = n, -5*h + 1393*n - 1391*n = 38 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -23*f**2 + 5. Let x(i) = 1. What is -t(q) + 5*x(q)?\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 4*f - 3. Let z be (-2 - -53)*(-5)\/(-15). Let x = z - 10. Is d(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 271807385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -864, -1700, -2488, -3204, -3824, -4324, -4680, -4868?\n\"Answer: 4*y**3 - 864*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3693.\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 = -9*x + 3*a, x + 2*a - 2 = 0. Let i = 6 - -1. Suppose i = p - x. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by 10?\nAnswer: 79\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-a**3 + 0 + 0)*(99 - 99 + 37*a).\nAnswer: 74*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29304 = -4*p + 21452. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 376, 349, 322, 295, 268?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*o - 20, -5*l + 16 = -9. Suppose -4*b - 20 = 0, 5*v + 5*b - 6 + 21 = 0. Suppose -1 + 5*f**2 - v*f - 3*f**2 - 4*f + o = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143\/24 - 71\/12. Let a(k) be the second derivative of 0 + 1\/4*k**2 - g*k**3 + 1\/80*k**5 - 40*k - 1\/24*k**4. Solve a(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c + 27 = -125. Suppose -3*y + 5079 = c*w, 4*w + 5*y - 5089 = -0*y. List the prime factors of w.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((4\/2 - 1)\/1)\/1. Is (-7 - -8)*(0 + 562 + n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 917.2516 micrometers?\nAnswer: 917251.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, g: 1, j: 1}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*(-18)\/(-10)*(-8596)\/(-19341).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5000724946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 - 7. Let x be h(-7). Suppose -55*g = -x*g - 2561. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + 1 - 19) + 149 + -1. Let a be (1 + -6)\/(d\/(-58)). Let 3\/2*f**4 + 99\/2*f**a + 24 + 15*f**3 + 60*f = 0. What is f?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7250 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 19 + -4)*1. Suppose 0 = -17*z + m*z + 28. Suppose -a = -0*d - 2*d - 50, -5*a = -d - 268. Calculate the remainder when a is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3218 - 70723\/22. Find the common denominator of p and -27\/3086.\nAnswer: 33946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.1866 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i**2 - 332*i**2 - 1359*i**2.\nAnswer: -1745*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 51*a**2 + 98*a - 2. Determine k(49).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183341479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:15 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/8, -5189, 0.34.\nAnswer: -5189, 0, 0.34, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16305, 32610, 48915, 65220, 81525?\nAnswer: 97830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 + 20*o + 10. Give w(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -65*u**4 + 104920*u**3 - 6547405*u**2 - 19534930*u + 3159960 = 0.\nAnswer: -3, 2\/13, 68, 1549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8202 + 8202 - 1145*w.\nAnswer: -1145*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 13 + -1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/252*8)\/((-12)\/28). Factor -2\/9*d**3 + 2\/9*d**2 + n*d - 2\/9.\nAnswer: -2*(d - 1)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**4 - k**3 + k**2 + k - 1. Let j(m) = m**5 + 3*m**4 - 7*m**3 + 3*m**2 + 3*m - 3. Let v = -359 + 362. Let i(w) = v*r(w) - j(w). Factor i(h).\nAnswer: -h**3*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(1 + 1 - 6)*(-2 + l + 2).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4) - (-41 + 31 - -17).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -18*n**2 + 13*n - 27. Calculate j(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1767 and 24371 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*k - 61*k + 414 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/319 (b) 6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6418801 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 12412.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274391 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - 6. Let n(j) = j**2 + 13*j + 67. Let g be n(-11). Is 23 a factor of (985\/g*o)\/((-2)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30670.7 and 51.882.\nAnswer: 30722.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*l - 210 = 0. Let y = l + -34. What is the tens digit of ((-114)\/9)\/(y\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/12 - k. Let z(q) = q**2 + 5*q. Let a(b) = -b. Let p(x) = -20*a(x) - 4*z(x). Determine p(f(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40647224)\/48)\/((-94)\/3). Let o = 27026 - z. Calculate the common denominator of (-2623)\/(-276) + (-26)\/299 and o.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 7:01 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*i - 5*y, -2*i - 21 - 11 = -5*y. Let r(b) = -2*b**2 - 8*b - 7. Determine r(i).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*w = -83*w - 330. Solve -c - 2 = -u - 8, 0 = -3*c - w*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9500*d**3 + d**2 + 11*d + 10. Suppose -4*o = 3*l - 9 + 55, 5*o + 46 = 2*l. Let x be w(o). Round x to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2\/4 + 1563*l\/4 + 13719\/2 = 0.\nAnswer: -17, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 6*d + 5570. Let c = d + 201. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 537, 533, 525, 513, 497, 477, 453?\n\"Answer: -2*y**2 + 2*y + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q - 2. Let j(x) = -35*x - 2. Let w(v) = 82*v + 4. Let g(d) = -5*j(d) - 2*w(d). Give -5*g(n) - 6*r(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + u - 3*u = -166, -4*u = -h + 37. Let f = 57 - h. Calculate the remainder when 47 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650907*i + 325455*i + 3 + 325468*i.\nAnswer: 16*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjty. Give prob of sequence yj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 108\/7*p + 110\/7*p**2 + 2\/7*p**3.\nAnswer: 2*p*(p + 1)*(p + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + w = -0*w - 7470, b - 1470 = 5*w. Suppose 5*q + 10*k - 5*k = b, 2*q - 616 = 4*k. Calculate the least common multiple of 22 and q.\nAnswer: 3322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4406 - 8554. Let r be (-38)\/18*49084\/8. Let o = r - j. Calculate the common denominator of 13\/2 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3674 and -13.753 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 - 25 = 12*t. Let q = t - -45. Which is greater: q or 2\/243?\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 7, 2, -5, -14?\n\"Answer: -h**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f. Let v(n) = -62*n + 302. Let d(t) = -21*t + 93. Let l(u) = -13*d(u) + 4*v(u). Determine a(l(m)).\nAnswer: -150*m + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1083 + 13.5637. Round s to one dp.\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/28*(-4)\/(-12))\/(10\/105).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**2*w**3 - 853*u**2 + 10*u*w**2 - 6982*w**3 wrt w.\nAnswer: -12*u**2 - 41892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*r**2 - 61584*r + 317266 wrt r?\nAnswer: 8*r - 61584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by ((1212\/(-8))\/(-1))\/((-27)\/(-18)).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*a - 341*a + 707*a + 336 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-72)\/224*4\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-217)*(-1*14)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -44. Solve 3*u + 15 = y*b, b + 2*u + 10 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -36. Let l(h) = 50*h**3 + 3*h**2 - 3*h + 1. Let u be l(1). Suppose 91 = 4*p + u. Calculate the smallest common multiple of p and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1570001*y**2 + 2*y - 15. Suppose b - 5*n = 8, b = -3*b - 2*n + 10. Let s be d(b). Round s to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -707 divided by 3.\nAnswer: -707\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 291*t**2 + 749*t + 26. What is m(-3)?\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p + 6. Let g(d) = -7848*d**3 - 2*d**2 - 3*d - 2. Let y be g(-2). Let m(r) = 62780 - y - r. What is -6*m(w) + q(w)?\nAnswer: -w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -2, -9.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 2*o**2 + 4*o - 3. Suppose 3*z + 4 = 4*z, 4*h + 16 = 5*z. Let c(v) = 0 + 4*v - v**2 + 1 - 4*v - 3*v + 2*v. Determine h*f(u) + 3*c(u).\nAnswer: -2*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -969341, -2\/7, 0, -3?\nAnswer: -969341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -29, -33, -67, -1 in increasing order.\nAnswer: -67, -33, -29, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -353 or -349?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21550906477 + -72.\nAnswer: -21550906549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*d - 830 = 3*n, 4*d = 5*n - 2070. Suppose 10*o = -0*o + n. Suppose 2*m + 5*u - o = 0, -4*m - 2*u + 52 = 2*u. Solve m + 12 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58849823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m + 4*p = -31, 0 = 4*m + 3*p - 33. Suppose -2*v - 7562 = m*a - 13*a, -5*v = 3*a - 5652. List the prime factors of a.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*w**2 - 124*w**2 - 179*w**2 + 495*w**2.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*v - 1303*v + 125160 = -1171*v for v.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00869257 to 4 dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 + 2*s**2 + 13*s + 2. What is h(3)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57689, 229831, 516735, 918401, 1434829, 2066019?\n\"Answer: 57381*x**2 - x + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-2)*(-74)\/259.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1978, -7934, -17860, -31756, -49622, -71458?\n\"Answer: -1985*k**2 - k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2612006cm in meters?\nAnswer: 0.002612006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61\/6 - (-37188)\/(-3099).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4872203.33326987687 + 853.33672882313. Let l = -4873057 + t. Let o = l - -0.33. Round o to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -6686296.\nAnswer: -23\/3343148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 165, 102, -9, -168?\n\"Answer: -24*v**2 + 9*v + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6716.372 - -0.647\nAnswer: 6717.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2598 + 2655 = 5*s, 2*s + 4*o - 36 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.09686?\nAnswer: 0.4843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12570 rounded to the nearest one hundred?\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-40))\/(4\/(-40) - 6\/(-10)). Let x = -2.94 - 0.06. Sort d, 0.5, x, 2 in increasing order.\nAnswer: x, d, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 94.01776 micrograms?\nAnswer: 0.00000000009401776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-16)*0)\/2*(-24 - -25). Solve 2*z - 3*z - 3 = u, 3*a = 4*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-2 - 1) + -2 - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 + 2*l. Let t be b(2). Suppose -3*y = -0*y - t. Let f = -6275 - -6315. Calculate the remainder when f is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*u, 3*r - 2*u = -0*r. Let x be -2 + r - (-2 - 43). Let k = 67 - x. Solve 0 = 4*l - o + 6*o + k, -4*o - 16 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.93092 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-15))\/x**(-12)*(x**10\/x)**(-35) assuming x is positive.\nAnswer: x**(-287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6478294 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41027422 is divided by 5285.\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*c + 6 = l + 143*c, -3*l = -c - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103870 and 1190.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglgllglglglll. What is prob of sequence ll?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87674921 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 37*t**2 - 105*t + 30. Determine m(-34).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmfy when four letters picked without replacement from ggygmjmgmfgmfgyjy.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78a93 (base 11) in base 14?\nAnswer: 2d9cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(sqrt(1900)*2*2 + (6*(sqrt(19) + sqrt(76)\/sqrt(4))**2 - (-1 + sqrt(19) + 1)**2)).\nAnswer: -2622 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3007597 + -3007594. Let o = -0.1 - -0.3. Let h(x) = -3*x - 1. Let p be h(-1). Which is the biggest value? (a) p (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14940703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 1032 = 955 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1233059481*v**3 - v**2 - 805582*v - 7?\nAnswer: -7398356886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p + 47*p = 25. What is the smallest value in p, -4, 2\/205?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 19*l - 2. Let s(p) = 7*p**2 - 92*p - 464. Determine -s(g) - 5*u(g).\nAnswer: -2*g**2 - 3*g + 474","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02926 + -71.02926. What is the closest to y in -1, -2\/3, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33335 + 173?\nAnswer: -33142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 1103 = 1075. Put x, 3\/8, -5, -1\/4, 6 in descending order.\nAnswer: 6, 3\/8, -1\/4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-2) + (-1)\/2. Let s be ((-2)\/6)\/((-1)\/p). Suppose -5*g + s*c + 138 = -0*c, g - 6 = -5*c. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 6. Let l = 4 + 3. Let v = -59 + 73. Suppose 15*x - v*x = 4. Let g(t) = -5*t + 11. Calculate l*m(r) + x*g(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-2 + (-2 - -3)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 7:19 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/5 + 142*h**3\/5 - 2724*h**2\/5 + 7208*h\/5 - 4624\/5 = 0?\nAnswer: 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b - 20. Let t be x(5). Suppose 0 + 0*p - 2\/7*p**2 + 2\/7*p**t - 6\/7*p**4 + 6\/7*p**3 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**4 - 5*f**3 - 3*f**2 - 5*f - 5. Let x(g) = g**3 + g + 1. Let w = -4 + -1. Let t(r) = w*x(r) - j(r). What is the third derivative of t(i) wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (10 - (-10 + -16)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -14\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 8:43 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 - y**3\/6 + 3*y**2\/2 + 14*y. Let c be u(-3). Let a(o) = o**2 - 2*o - 12. What are the prime factors of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -8) + -3 + (6 - 9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 25*t + 274. What is d(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 118*h - 245. Calculate v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -15, -17, -21, -27, -35, -45?\n\"Answer: -k**2 + 3*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2496 divided by 4.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123 + 136*t**5 + 939*t**2 - 133*t**5 + 247*t**6 - 938*t**2 wrt t?\nAnswer: 29640*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:31 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 2*x + 45 - 53, -2*m = -3*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**4 - 75*y**3 = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7 + 3. Sort o, -3, 30 in increasing order.\nAnswer: -3, o, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 4383*c.\nAnswer: c*(c - 17532)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*h + 7 = 0, d + 2*d = 2*h - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6200 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t - 104652 = -8*t - 71*t. What is the greatest common factor of 72 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 259 - 271 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 142208.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 976*z**4 + z**2 + 151604*z wrt z?\nAnswer: 11712*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 254004287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - t + 3. Let b be d(0). Suppose 7 = -b*w + 28. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106583 is divided by 2533.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 288.\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15 - 0\/(-4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 + 2*r + 1. Let m be 4\/2 - (-3 - -1). Suppose 0 = -2*n - 4*l - 1 + 3, 0 = 4*n - 5*l + 35. Let o = n + m. What is g(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose 0*r + z = -r. Let v be (4\/(-6)*3)\/1. Are v and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzcczzcz. What is prob of sequence zzzz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -31. Let v be (d\/20)\/((-50)\/(-24)). Is v != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42529*c + 17 - 10 - 7.\nAnswer: -42529*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p - 47 = 209 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*a = -1277, 4*r - r = -2*a - 763. Let n = -178 - r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1102*h**2 - 70*h - 11. Let f(z) = 367*z**2 + 20*z + 3. Determine 7*f(c) + 2*n(c).\nAnswer: 365*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39231?\nAnswer: 3, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 121*m - 1506. Let n be h(-107). Which is the fifth smallest value? (a) -1\/5 (b) -2 (c) -2\/41 (d) n (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302 is divided by 1284.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**4 - h**3 - 1. Let i(q) = -522*q**4 + 4*q**3 - 139*q**2 + 4. Let j(g) = 4*b(g) + i(g). Find the third derivative of j(u) wrt u.\nAnswer: -12816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*((-2 + sqrt(8)*1)*2 + 2)*2.\nAnswer: -24*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {f: 1, p: 2, a: 1, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:20 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7075 and 41318?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 32 = -3*q - 0*c, -2 = 2*c. Solve -3*v + q - 4 = k, 4*v + 2*k = 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + l**3 + l**3)*(3*l - 2*l + 0*l) + (1194 + 1956 - 894)*(0*l**4 - l**4 + 0*l**4).\nAnswer: -2258*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 11, 14, 31, 68, 131, 226, 359?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2. Suppose 0 = -2*d - 8, 9*w - d = 4*w + 19. Let s(l) = w*l + 9*l - 4*l. Calculate f(s(o)).\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 9) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + a + 2*a + (-2*a + 2*a - a)*(2 + 0 - 4) + 2*a - 1 + 1 - a - 3*a + 3*a - 8 + 0 - 429*a + 8 in the form y + z*a and give z.\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 39*y**3 + 297*y**2 + 1341*y + 1047. Let q(h) = -11*h**3 - 85*h**2 - 383*h - 299. Let s(l) = 5*a(l) + 18*q(l). Factor s(o).\nAnswer: -3*(o + 1)*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = 30*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**5\/6 - 5*q**4\/6 - 5*q**3\/6 + 5*q**2\/6 + q = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 3:21 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144779877 or -144779875?\nAnswer: -144779875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88920 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*g + 10. Suppose -5*l = -g*l + 2. Solve l*t = 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 1925591.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7304573 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 4*m. Let f = -30 - -30. What is the nearest to m in f, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 2, -38, 0, 4, -28 in ascending order.\nAnswer: -38, -28, -4, 0, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -44. Let c = -2 - o. Suppose 22*k = c*k + 17. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 - 200 + 63)*(c - 4*c + c) + (2 - 2*c - 2)*(1 + 0 - 2) in the form h + o*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5702 - -5657. Suppose p = 3*p + 90. Let a = h - p. Solve 5*q + 0 + 15 = a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16741, -33488, -50235, -66982?\nAnswer: -83729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvv when three letters picked without replacement from yvddyyvyvy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 13 = -4*p, 3*p = 2*p + 2*t + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2531*b - 2529*b - g = 9, -5*b + 4*g + 21 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3555\/(-158)*(-1)\/(-9)*10\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -4 - (0 + -3)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 110212012011?\nAnswer: -110212012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 1952*y - 53088.\nAnswer: -2*(y + 28)*(y + 948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-25)\/(-15) + 1 + (-7 - -2). Which is the second biggest value? (a) -2\/19 (b) 0.4 (c) -0.75 (d) -1\/3 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 1. Let h(l) = -l**3 - 6*l**2 - 7*l - 7. Let x be h(-5). Suppose -4 + 1 = -x*v. Let a(s) = 7. Let n(r) = v*a(r) + 6*g(r). Give n(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160 + 163. Put x, 0, 4, -56 in decreasing order.\nAnswer: 4, x, 0, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(-162)\/2 - (0 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427530883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 7 (c) -3 (d) 0.592 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 6*l + l + 2, -f + l = 6. Let t(m) = -m**2 - 7*m - 7. Let y be t(f). Suppose -5*o = -30 - y. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-144 - (-44 + 23 - -4)) - (-1 + 4)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 18*o + 10. Let k be b(9). Let n be k\/(-4)*52\/(-78). What is the third biggest value in 4, n, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddgsddggddgdddgd. What is prob of sequence dggd?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65872455 and 1035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6097.05 + -6097. Which is the second biggest value? (a) -4 (b) 1\/5 (c) -1\/4 (d) j (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -28)\/(-2*15\/15).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22 = -4*x, -4*x + 0*x - 3*b + 26 = 0. Let r be ((-4)\/6)\/((-2)\/(-6)). Let v = r + x. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 - 2. Let m = d - 5.5. Let v = -4 - m. Sort 2\/7, -0.1, v.\nAnswer: -0.1, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + -60965\nAnswer: -61044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 - -19 - ((-14 - -7) + 1 - -2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-3)\/(-9))\/(7\/(-35))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -672583*x - 11. Let n be d(-8). Let j = -3740653 + n. What is j rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - h**2 - 4*h + 1. Let w(n) = -n**3 - 7*n**2 - 6*n + 1. Let u(d) = 2*j(d) - w(d). Give u(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*i - 10. Let d(a) = -a**3 - 13*a**2 - 12*a - 4. Let c be d(-12). Put 4, c, i in ascending order.\nAnswer: i, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*x - 934 = 0, 0 = -o - 3*x + 2*x + 930. Suppose -2*z + 15 = z. Suppose 537 = z*w - o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1322 (base 4) to base 12\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 129*g - 815. Calculate c(-6).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 304\/1 - (-1 + 1). Suppose -5*k - f + 389 = -0*k, -4*k = -f - x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -322 - -527. Suppose -541 = -4*c - t. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 5 (c) 685 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -165*y + 238. Let u(q) = -111*q + 159. Let o(p) = 10*p + 25. Let h be o(-2). Let a(g) = h*v(g) - 7*u(g). Differentiate a(j) wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189421451 + 189421451 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/48*-6 - (-25)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-344)\/72 + 4\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 936?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = 39*v + 252. Let c(k) = -k**3 - 12*k**2 + 1. Calculate the least common multiple of 35 and c(v).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11639.641 * 0.05.\nAnswer: 581.98205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28267 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422917792 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*x - 2*x**2 + 51*x + 11*x**2 wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4\/3 (c) 0.6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(7) - sqrt(7)) + -3.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 less than -169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 23. Let x be -2 + y*(-10)\/(-25). Let i(n) = n + 8. Calculate i(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f - 108 = -h, 5*f + 114 = -4*h. Let i = -11 - f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1282983 and 16203?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58554 is divided by 598?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:31 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9572*r + 7922*r - 84150 = 0 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l - 23. Let z(v) = -17*v - 39. Let j(o) = 10*n(o) - 6*z(o). Give j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -22, -32?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2 + 0 + i - 4. Let h be y(4). What is the derivative of 2 - 2*q**2 + q**2 - h - 3 wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10014150 - -3?\nAnswer: 10014153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009007164 to seven dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 18*q - 77. Let p be s(8). Let n be (-1 - -16)*3 - (34 - 31). Solve -p - n = 5*i - 5*f, -3*f = 3*i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15*((-5)\/12)\/((-9)\/(-36)). Suppose n = 5*x - 30. Solve 0 = -5*h - 2*s + x, -3 = -3*h - 0*h - 3*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3012*q**2 - 8*q - 2. Let b be c(1). Calculate the greatest common divisor of 38 and b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(24))\/sqrt(12))**2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 5*h - 2. Let s(t) = 3*t**2 + 6*t - 3. Let y be (-4)\/36 + (175\/(-45))\/1. Calculate y*f(v) + 3*s(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36586692 is divided by 12195551?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*t + 7416 = -10230, 2*r - t - 17631 = 0. Does 98 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*y**2 - 97*h*y + 9*h + 27730*y**2 + 122*y wrt y?\nAnswer: -4*h + 55460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -746580.45 to the nearest one hundred.\nAnswer: -746600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*o**2*w + 3*f*o*w - 2*f + 15963504*o**2*w - 2*o**2 + 2349*w - 2067 wrt o?\nAnswer: -4*f*w + 31927008*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 8*f - 3*f - 10*f - 11*f + 31*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44827358?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 + 60*n - 173. Let y(s) = -2*s**2 - s + 2. Let a(c) = k(c) - 2*y(c). Let w be a(59). Solve -2*u + 2 + 6 = w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 - 0.4. Let z = j + 1. Let l be 6\/10 + 2\/(-2). Sort -1\/2, l, z in descending order.\nAnswer: l, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533 plus 0.0888?\nAnswer: 1533.0888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - ba?\nAnswer: -bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 = 3*o, -o = 2*o - 3*r - 6. Solve -z - 6 = -o*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 2*l + 38. Let f = -12 - -23. What is the greatest common factor of f and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 12*d - 80, -133*z - 10*d = -134*z - 120 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 1946309998 = -3*w - 14*d, 0 = -2*d + 4. Round w to the nearest one million.\nAnswer: 649000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 10) to base 15\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -218, -2\/3, -4, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*p - 19*p - 46*p - 47*p - 42*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009256503668 to six dps.\nAnswer: 0.009257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3576963742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = 3*r, 5*z + 8*r = 5*r + 58. Calculate the greatest common divisor of 112 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 2abb4?\nAnswer: -2abb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 334\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 6. Suppose 7*r - 50 + 22 = 0. Let h(y) = -y + 2. Let g be h(2). Let n(p) = -4 + g + 3 + 2. Give r*n(c) - m(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 3*h)*(7 - 7 - 44*h**4).\nAnswer: -44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*s*w**3 + 54*s*y - 520*w**3*y wrt s?\nAnswer: 5*w**3 + 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1881\/(-76))\/(-33)*-36.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-7\/5)*v\/(v\/(v\/v**(-20)*v)))\/(v*v**(-1\/3)\/v*v**(-4\/5)))**(7\/2) assuming v is positive.\nAnswer: v**(1141\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1161018 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013 - 1033121?\nAnswer: -1032102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*10\/105 + (-13)\/(-3). Suppose -n = u*h + 3*n + 7, -1 = 3*h + 4*n. Let l be ((-3)\/(66\/4))\/1. Is h less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/509595?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/5, 3, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 8104206?\nAnswer: 56729442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q - 10. What is the remainder when 55 is divided by z(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -6, -6*s - 3*l - 9 = -s - 7*l + 6*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irrmdmmydixdr. What is prob of picking 1 d and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 194179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 130. Put g, -2, 4, -4 in descending order.\nAnswer: 4, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + -61786365?\nAnswer: -61786333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of (-2)\/(-2)*2\/((-22)\/(-23441))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) -1\/56 (c) -10 (d) 2 (e) -6\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12739028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-47)\/(-4) + 4\/16. Let v(u) = -u**2 - 7*u + 4. Let k be v(-7). Solve 2*b = -k + t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)\/((-1)\/87). Let x = -127 - t. Let b = x - -41. Let l(z) = 3*z + 8. Let q(u) = -u - 1. What is b*l(o) + 4*q(o)?\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/60 + c**4\/4 + 3*c**3\/2 + 9*c**2\/2 + 2*c. Factor n(h).\nAnswer: (h + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7889.825025 + 7890. Let j = a - 0.176. What is j rounded to 5 decimal places?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162025803\/54466181 + 3\/457699. Let u be -6 - 11\/((-187)\/138). Let h = g + u. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/3)\/(-7))\/((-19)\/(-38))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - 7*o**2 + 3 - 5 + 1 - 2*o. Let y be (-7 - -5)\/((-3)\/30*4). List the prime factors of z(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 - 4*g**2 - 16*g + 27. Let r be v(2). Solve 3*x + 6 = 3*f, 3*f = -r - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317 - 655 + m + 2*m + 325.\nAnswer: 3*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*a + 5, 2*a + a = 4*m - 20. Suppose 2*r - 2*j + 4 = a, 4*j + 4 = -3*r + 12. Let k = -10400\/21 - -1484\/3. Which is bigger: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 1788*l**3 - 973*l**2\/2 + 6*l + 3411. What is the second derivative of o(m) wrt m?\nAnswer: 10728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7742, 7775, 7846, 7967, 8150, 8407?\nAnswer: 8750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92476308?\nAnswer: 2, 3, 53, 97, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 43*s**2 + 34*s + 40. Is 123 a factor of f(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27876684 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/10760 and 43\/3228.\nAnswer: 32280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = k - 92, -126*k - 44 = -3*g - 121*k for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 3 (b) -0.1 (c) 7\/4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4\/13))\/(d*d**(2\/21))*d*d**(10\/9)*d*d**(-24\/7))**(-24) assuming d is positive.\nAnswer: d**(4720\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p + 63. Let s be v(-13). Let z be ((-12)\/27)\/(60\/s). Factor 2\/5*a**2 + 0 + z*a.\nAnswer: 2*a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w - 5*u - 20, 5*w - 13 = -2*u. Let r(t) = -t**3 - 64*t**2 - 67*t - 255. Let x be r(-63). Sort 5, -2, x, w in ascending order.\nAnswer: x, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -154458839102?\nAnswer: 154458839103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {p: 6, t: 5, h: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 642, 3, -30, 69, -2 in ascending order.\nAnswer: -30, -2, 3, 69, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -106821, -213657, -320495, -427335?\n\"Answer: -m**2 - 106833*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -3486.31.\nAnswer: 1045.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-10)\/4)\/((-6)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - (-83 - (100 - 124))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 23, 79, 191, 377, 655?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - 7. Let s = k - -15. Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30173 and 6148329?\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**5\/r*r)\/r*r))\/r*r**6)**4*(r**(-1))**(-17\/3)\/(r**(-1\/4))**1 assuming r is positive.\nAnswer: r**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + -4.92. Let s be 18\/5 + (-14)\/(-35). Let f be (0 + s\/(-4))*3. What is the third biggest value in h, 0.2, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 1. Let t be s(-1). Suppose t = 5*c - 3*c - 60. Suppose 0*o + 5*o = c. Solve o*g = g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h**3 - h - 2. Let w(t) = 6*t**3 + 1. Suppose 2*p = 8*u - 3*u + 33, 4*u - p = -27. Calculate u*w(o) - 3*d(o).\nAnswer: -3*o**3 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.51640662 from 0.5.\nAnswer: -4.01640662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eezsmle. What is prob of picking 1 m, 1 z, and 1 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2874 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/33))\/(u\/u**(4\/11))*u**(-22)*u\/u**(-3\/10) assuming u is positive.\nAnswer: u**(-6691\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689 (base 13) in base 15?\nAnswer: 2e10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 5*r**2 - r - 2. Let z be m(-5). Let f be (-6)\/(-27)*z\/2. Let x = -0.4 - -5.4. Which is the smallest value? (a) f (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(60)\/sqrt(6))\/sqrt(5) + sqrt(50)*6))**2 + sqrt(10)\/(sqrt(80) - sqrt(5) - sqrt(5)) + 4*sqrt(2)*-1 + -2*-1*sqrt(2)*4.\nAnswer: 9*sqrt(2)\/2 + 30752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2470 + -1451. List the prime factors of d.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -22022?\nAnswer: -22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4867 - 4682. Calculate the greatest common divisor of 2664 and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 + 91*b - 542. What is m(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away 14.392705146?\nAnswer: -2.392705146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 4*x**2 + 7 - 7 in the form f*x**2 + k + h*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(96) - (1*sqrt(80))\/sqrt(8))\/((6*sqrt(1800))\/sqrt(10)).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 15*w**3 - 54*w**3.\nAnswer: -39*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146145877?\nAnswer: 29, 257, 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308922493 divided by -597529.\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 13*i**2 + 18*i - 49. Let x be r(14). Let d(b) = 15*b**2 + 6*b - 1. List the prime factors of d(x).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(9450\/28)*3\/10?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7727235679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1037 divided by 61\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01051145686 rounded to five dps?\nAnswer: 0.01051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*(4 - 10). Solve o*f - 16 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1144586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223*m**3*q**2 - 3*m**3 - 2*m**2*q**2 + 12*m**2*q - m*q**2 wrt m.\nAnswer: 1338*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 1:44 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-33)\/(-46)) + (-38)\/(-209). List the prime factors of (-639)\/m - (2 + (-9)\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 6, -3, 24, 17 in descending order.\nAnswer: 24, 17, 6, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**4\/66 + 89*m**3\/33 - 182*m**2\/11 - 3*m + 51. Factor i(r).\nAnswer: 2*(r - 2)*(r + 91)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 4*(sqrt(180) + sqrt(180)*-2) + sqrt(180) + -6*(sqrt(180) - (sqrt(180) + 0 + sqrt(180))*-2))**2.\nAnswer: 11880*sqrt(5) + 1176270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1447, 1439, 1431?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -4)\/(1\/5). Suppose 4*b = 7 + z. What is the third biggest value in b, 12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 134661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 183*f + 177*f = 44, -3*k - f + 36 = 0. Suppose n - 67 - 37 = 0. What is the highest common factor of n and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 52*b**2 + 1100*b + 822. Give c(-68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59520.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 7 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**3 + 8*v**2 + 72*v. Let n(l) = 10*l**3 - 13*l**2 - 108*l. Let k(o) = 5*n(o) + 7*s(o). Factor k(q).\nAnswer: q*(q - 12)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001241 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n = -3*v + 108, -v + 5*n + 30 = 0. Suppose -4*m = -9 - v. Find the common denominator of 75\/4 - (11 - m) and -57\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6\/10)*-10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13732*r**2 - 13732*r**2 + 319*r**5 + (-r + r + r**3)*(-6*r**2 - 5 + 5 + 2*r - 2*r - 4*r**2 + (0 + r + 0)*(2*r - 5*r + r) + 3*r - 3*r**2 - 3*r).\nAnswer: 304*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9291 + -1.2291. What is the nearest to 7 in i, 1, 1\/2, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.74 - -7.84. Let c be (-5 + 6)\/((-5)\/(-2)). What is the nearest to c in 10\/7, 3\/7, a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/14100 and -61\/5640.\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**3\/5 - 378*l**2\/5 - 15876*l\/5 - 222264\/5 = 0 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 91*i**4 - 17*i**2 - 3. Let y(o) = -30*o**4 + 6*o**2 + 1. Let s(x) = 6*k(x) + 17*y(x). What is the derivative of s(v) wrt v?\nAnswer: 144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254569654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t\/((t*(t**(1\/3)\/t)\/t)\/t*t)))\/t)\/t*t)**(2\/53)*t\/t**(4\/7)*(t*t**(-1))\/t assuming t is positive.\nAnswer: t**(-748\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let m = -41 + 24. Let i = 35 + m. What is the lowest common multiple of v(5) and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2998\/75 + 2118 + -2158)\/((-5)\/(-25))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(5) + sqrt(5) - sqrt(5)) + 4.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 30*i - 1001. Calculate q(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (3*(sqrt(1539) + 1) - (6*1*sqrt(1539))**2)).\nAnswer: -162*sqrt(19) + 332382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15951 - -13343083.\nAnswer: 13359034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1600697 or -1600698?\nAnswer: -1600698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*n**2 - 386680*n - 70304.\nAnswer: -4*(n + 8788)*(11*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, l: 5, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5249*k - 5245*k + 90, -5*k - 5*j + 45 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, 4, -7, -4 in descending order.\nAnswer: 16, 5, 4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - h = -212, 2*t - 5*h - 97 = 9. Suppose -5*n = -72 - t. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 994 times 325.9\nAnswer: 323944.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3) + 120\/(-18). Let b be 100\/120*78\/(-10). Do m and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 35*j**2 + 26 - 12 - 14.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*s, -2*z = -2*s + 3*s. Solve z = t - 3*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + 550*b - 231*b - 275*b to k + h*b**2 + o*b and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -4*a**3\/3 - 4*a**2 - 4*a + 39. Determine j, given that q(j) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/5*25\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q. Suppose q = -4*d + 20, 4*d - 85 + 260 = 5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nan when three letters picked without replacement from {m: 2, f: 2, n: 6, r: 3, a: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06 and -77.\nAnswer: -77.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55811 - 4?\nAnswer: -55815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 - 2)*(-4*g + 5*g - 3*g) - g - 4 + 4.\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1372 + 2.3372. Which is the smallest value? (a) -5 (b) q (c) 0.151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961984 is divided by 25315.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(4\/2)*-214. Let m = -37608\/11 - b. Find the common denominator of m and (-58)\/(-1)*1\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c. Let g(d) = -4*d**2. What is w(g(u))?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4 + 50*b**3 - 48*b**2 = 0. Calculate b.\nAnswer: 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 151687102?\nAnswer: 151687102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let i = 406.03 + -408. Let l = -1.57 - i. Which is the nearest to q? (a) 2 (b) 3\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + ((0 + sqrt(272))*5 - (-1 + sqrt(272) + -4 + sqrt(272))))**2.\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -143534?\nAnswer: 9\/143534","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: (-54)\/6*(-2)\/24*-4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3559386*m**3*n**2 - 14*m**3*n - m**3 - 84*m**2*n**2 + 11056889 wrt n.\nAnswer: -7118772*m**3 - 168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 481700?\nAnswer: 3\/240850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0*z - 5 + 6*z**2 - 2*z + 3. Let n be s(-1). Solve -4*q - a + n = 0, 6*q - q - 2*a = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-28))\/(3\/6*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340185141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7436*m + 6249*m + 4431*m)*(0 - 1 + 2) to the form i + n*m and give n.\nAnswer: 3244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5038 = -5*j - 2*h, -28*j + 3*h + 4035 = -24*j. Is 36 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 189. Let i(q) = -2*q**2. Determine k(i(p)).\nAnswer: 8*p**2 - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12481794150 and -541.\nAnswer: -12481794691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8030 - 8029.999995469. What is p rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43431\/2 - 21672. Find the common denominator of -58\/453 and l.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + (-2942 - 3)\/(-5). Let g = n - 566. Solve -g*a + 12 = -8*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -426 - 252526?\nAnswer: -253154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2496 + 4*w**2 + 2496. Let k(z) be the second derivative of z**3\/3 - 2*z**2 + z. Let r(n) = -2*n + 3. Let m(i) = 3*k(i) + 4*r(i). What is m(v(o))?\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/12 - (-4)\/6. Let h(c) = -c**2 + 7*c - 8. Let b be h(6). Calculate the smallest common multiple of 10 and b + 5 + 1 + t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h**(-2\/11)*h))*h\/((h*(h\/(h**3*h))\/h)\/h))**(-1\/2))**(-3\/37) assuming h is positive.\nAnswer: h**(159\/814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -128, -208, -308, -434, -592, -788?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -1, -2, -10, -37?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1417, -1288, -3993, -6698, -9403, -12108?\n\"Answer: -2705*i + 4122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 5 + 3*j + 0*j + 21 to the form k + a*j and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 + 142*f - 91. What is d(-29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15286 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*-7)\/((-4)\/(-8)). Let i be 8\/s*(-1)\/(-2). Is 1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27978 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*l + 3559*l = -1296*l - 1024*l - 233920 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {k: 2, y: 3, e: 2, v: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*h - 4 = 3, -h + 5 = 2*o. Let n(t) = -2*t + 68. Let u be n(33). Solve u*q = -o*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = -13*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -597062\/9 at least -66339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 143*a + 10195. Give t(-195).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/22)\/((-3)\/2)*(-1071)\/(-3927). Let y be ((-26)\/5)\/(2\/(-10)). Let v be 8*(-7)\/y + 2. Put u, 0.4, v in decreasing order.\nAnswer: 0.4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1413710260.91 - -3.61\nAnswer: 1413710264.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -242*m + 1464. Give c(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 19*y - 1261. Calculate q(66).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/18 - 6 - -1*3\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*n + 12. Let c(w) = 3*w - 2. Let v be c(n). Suppose -44*j - 2*j + 322 = 0. Solve 0 = 5*a + j*r - 2*r + v, -3*a - 16 = 5*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-42)\/28)\/(1\/(300\/1)). Let g be (-1 - k\/(-3))\/(-1). Let a(r) = 3*r - g - 157 + 308. Let b(l) = -3*l**2. Give a(b(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.968028 litres to millilitres.\nAnswer: 9968.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 139?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-5) - (-29)\/(2900\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = j, 0*j = 3*w - 3*j. Suppose 2*l - 727 = -z - 700, -3*z - 19 = l. Let g(u) = -u + 6. Let a be g(3). Solve w*o - a*r - l = -8, -5 = -5*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -n + d - 2 + 4, 2*d = -22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 2*d - 4, -d + 3 = -5*p. Suppose -3*j - 15 = 5*x, x + x + 6 = -2*j. Suppose 0*t + 3*t - 6 = j. Solve -d*c + 4 = -t*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1396 - -1984.5. Let u = k + -588. Which is bigger: u or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357740*j - 935244*j + 165990*j.\nAnswer: -1126994*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 54 = -4*p, -122*p + 125*p - s = -5. Let l = -499\/2205 - -1\/245. Which is the nearest to -1\/6? (a) l (b) p (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 72 = 293. Let r(x) = 32*x - 5. Let q be r(6). What is the highest common divisor of v and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 262930845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.15 (b) 2 (c) -256 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.154 and 0.091.\nAnswer: 0.105014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32544577 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -32. Let a = 77 - y. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 - 290.1. Let s = p - -4.3. Let u = 2.8 + s. Put -0.3, 2\/5, u in descending order.\nAnswer: 2\/5, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Suppose 3 + i = 2*l. Let h(j) = -j + 6. Let t be h(l). Solve 2*f - f = -t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c. Let l(y) = -825*y. What is m(l(w))?\nAnswer: 2475*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0196 * 4.0374\nAnswer: -0.07913304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 48. Suppose 7*o - 13*o = 60. Let f be ((36\/(-15))\/(-4))\/((-2)\/o). Solve 2*m = -f*x + 19, -q = -5*x - 5*m + 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18442 less than -4552?\nAnswer: 13890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 478438 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11*10*(-36393)\/(-70).\nAnswer: 3, 11, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -130305*u**3 - 511*u**2 - 511*u + 511. Let c(a) = 1533*a**3 + 6*a**2 + 6*a - 6. Give 511*c(k) + 6*n(k).\nAnswer: 1533*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 123?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t**3 - t**2. Let p be y(-1). Let i be (23\/5 - ((-60)\/(-12) + -1))*5. Solve -i*l + z = 5*z + 4, -2*l - z - p = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15924*a*y + a + 65114*y wrt a.\nAnswer: -15924*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 12. Let j be c(-7). Suppose 0 = -3*n - 5*b - 17, 0 = -j*b - 1 - 4. Let d be (-9)\/n + 1\/(-4). Solve d*t = 4*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxgxxcxcdxgbx. Give prob of picking 2 x and 1 g.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 35. Let j be t(-11). Suppose -5*u + j = -5*r, 0*r + 2*r + u - 4 = 0. What is the fourth smallest value in 0.5, r, -2, -22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1040?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose 0 = -b - p + 1. Let n be 1\/b - (-2 + 2). Are -1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 10:25 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-9 - -2) + 30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 v when four letters picked without replacement from bvbvtbbvbvbvbtvbb.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -13. Let m(f) = -3 - 6*f + 1 - f**2 - 3. Calculate m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/5 - 690846*z**4\/5 + 23862580737*z**3 + 1431895780036*z**2\/5 - 7159315857372*z\/5 + 7636556418624\/5 = 0.\nAnswer: -16, 2, 345429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83140 + 8656*z + 83140.\nAnswer: 8656*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7.3. Which is bigger: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7278*b - 14280 = -7516*b for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5392 = 4*j - 1212. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 13*r**2 + 43*r + 257. Calculate m(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -44 + (-688 - -798)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-235 - 235*c + 235)*(0 + 0 + 5) as g*c + u and give g.\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*j**3*q**2*w**2 - 10*j**3*q*w**3 - 30*j**2*q**2*w**3 - 2*j**2*q**2*w + 4*j**2 - q wrt j?\nAnswer: 450*q**2*w**2 - 60*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5848 - -356743\/61. What is the common denominator of v and 7\/((-70)\/32) + 24\/(-60)?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10908566 divided by 10\nAnswer: 5454283\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11678 is divided by 5832?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-150) - (-8854)\/(-2730). Let k = -3\/91 + p. Let z = 3\/20 - 69\/10. Find the common denominator of k and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -763\/5636 or 1?\nAnswer: -763\/5636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2\/7, 1, -0.1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + -3 + -1 + 18. Suppose -k*i + 4*v = -13*i + 850, 2 = 2*v. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110011110010011111001 (base 2) to base 10\nAnswer: -1697017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1270488 by 117.\nAnswer: 423496\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2.1. Let f = -12 + 8. Let z = 0 + f. What is the second biggest value in z, q, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 533*o + 2 + 518*o - 1397*o + (-1 + 2 + 0)*(-2*o + 3*o + 0*o).\nAnswer: -345*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*r, 0 = 2*z - 4*r + 12 + 2. Suppose w - i + 17 = 0, -4*i = 2*w + z + 1. What is the biggest value in -4, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - -4*(sqrt(2736) - ((2*sqrt(2736))**2 - sqrt(2736) - sqrt(2736)))) + (sqrt(171) + 1 + sqrt(19))**2*-3)*-3 + -5.\nAnswer: -396*sqrt(19) + 134068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1402b89 (base 13) to base 9\nAnswer: -12800125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/12 + 7\/4. Suppose 2*k - 4*k = 0. Solve -c*s - s = k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2, -5*f + 0*f = v + 7. Which is bigger: -12\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617 = -18*r - 599 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -2*g**5\/55 - 5*g**4\/44 + 6*g**3\/11 + 146*g**2. What is n in m(n) = 0?\nAnswer: -2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 3*k - 4. Let i be z(-4). Let c be (-680)\/119*(-7)\/(-2). Let g be i\/c*(-45)\/6. Which is bigger: 8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*z - z - r, 0 = -4*z + 2*r + 24. Let k = -8 + 6. Let l be 6\/4 - (-1)\/2. Put k, z, l in ascending order.\nAnswer: k, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/((-8)\/68 - (-16450)\/141270).\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439.074 milliseconds to microseconds.\nAnswer: 439074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114005*p**5 - 70571360*p**4 + 277124215*p**3\/4 + 5589345*p**2\/4 + 6975*p = 0 for p.\nAnswer: -620, -3\/302, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(2\/(8\/(-30))). Let t = -0.2 - -0.23. Let y = -0.33 + t. Are y and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1039, 2092, 3145, 4198, 5251, 6304?\nAnswer: 7357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 15 - 15. What is the biggest value in v, -1, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4 - ((-3213)\/(-108) + -29). Solve p = -4*b - 3*r - 25, 16 = -2*b - 5*r - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 683\/9 + -76. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -1\/6*c**4 - 86 + 0*c**2 + 0*c + 1\/9*c**6 - 10\/27*c**3 + 2\/9*c**5. Solve g(m) = 0 for m.\nAnswer: -5\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:10 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -918245.02 rounded to the nearest 1000?\nAnswer: -918000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*a - 10058 = 496*a - 235*a for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124 = -2*s + 196. Suppose 0 = m + 4*m - s. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from hlhlleehh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9185436 and 26676?\nAnswer: 27556308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 1 + 0*p + 2*p)*(224 - 224 - 27*p**3 + p**2).\nAnswer: 54*p**4 - 29*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q + 2. Let o(p) = 17*p - 3. Let a(z) = -z + 2. Let i be a(5). Let s(k) = i*o(k) - 5*w(k). Let x = 1 + 0. What is s(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -5, -4, -1\/6, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 5*b**2 + 4*b**2)*(-3*b**2 + 4*b - 4*b) + 11*b**4 - 8*b**4 - 5*b**4 - 4*b.\nAnswer: -5*b**4 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 40*k - 10*k + 3*k - 7*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245227 and 260287?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**3 - 4*s**2 + s. Let n(v) = -7*v**3 - 3*v**2 + v. Determine -4*n(m) + 5*y(m).\nAnswer: 3*m**3 - 8*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nktkzzenzn. What is prob of picking 2 z and 1 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + 18. Let y = w + -27.46. Let v = y + -0.42. What is v rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1)*(0*j + 3*j - 2*j - 2*j + 2*j + j + (1 - 1 - 2*j)*(-1 + 0 - 1)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 291564 (base 14) to base 12\nAnswer: 588930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130358, 130419, 130480, 130541, 130602?\nAnswer: 130663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/4)\/(2\/(-18)). Let u = 10 + p. Let r = -0.07 + -0.23. Is u >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7045 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -12212552?\nAnswer: -12212551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.95 + -5.34. Let a = c - 0.01. Round a to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14.7, 0.1, -1949, -3?\nAnswer: -1949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - (-688)\/12. Let v = -12 - 21. Let s = v + t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001877 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 120.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifteen quarters of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = -4*y, 5*r - y + 14 = -6. Let g be r + 18*(116\/12 + -1). Find the second derivative of -11*h + 153*h**2 - g*h**2 - 32*h**3 wrt h.\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 44 = 12. Let i = c + 51. Let n = i + -14. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 11*j**2 + 12*j + 3. Let h be d(-12). Solve h*n - 1 = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375 + -352. What is the greatest common divisor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1786, -14175, -47822, -113359, -221418, -382631?\nAnswer: -607630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 947*w**2 + 3299*w + 7. Let p(y) = 473*y**2 + 1650*y + 4. Let o(k) = 4*j(k) - 7*p(k). Find the second derivative of o(r) wrt r.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -120632 - -2?\nAnswer: -120630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-3) + 2)*(-41)\/287. Which is the biggest value? (a) -11 (b) i (c) -1\/3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f - 49*f - 20*f + 2 - 2 + 2*f - 2*f + 2 - 2 - 1 + 1 - f + (-2 - 3 + 3)*(-4*f - f + 3*f) - 4*f + 2*f + f + (f - 2*f - f)*(1 - 1 + 1).\nAnswer: -72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3 - b)*((0 + 0 + 1)*(-2 + 6 - 3) + 3 - 1 + 6).\nAnswer: -9*b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -k - 11 - 3, -5*k - 43 = 2*w. Let s = 11 + k. Differentiate 3 - s + a**4 - 4*a**4 with respect to a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -31. Let m = a - -21. Suppose -4*b + 28 + 32 = m. Solve 2*i - 5*i - b = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m - 3*f + 197991, 0 = 3*m - 5*f - 297015. Let h be (m\/27)\/((-2)\/960). What is h rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/1 + 5\/(-180)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -47. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 36129.\nAnswer: 72258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 12177?\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 11*p**2 + 11*p + 8. Let s be t(10). Do s and 28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*l + 21 = l, -3*n = 2*l - 12. Suppose -3*w - 9 = -n*w. What are the prime factors of (-59)\/(-4) - w\/(-12)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -642.3 minus -0.31?\nAnswer: -641.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3254968 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 19 + 5. Suppose x + 6 = 2*y. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 12. Suppose 0 = q - z. Suppose 24 = -d + q*d. What is the least common multiple of d and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(((d*d\/((d**(4\/9)\/d)\/d))\/d)\/d)*d**(2\/13))\/((d*d*d**(2\/15))\/(d\/d**2)))**4)**(-27) assuming d is positive.\nAnswer: d**(24816\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 15*j - 26. Let h be w(-11). Suppose -2*p = -4*n - h, n = p + 4*n - 251. List the prime factors of p.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v + 8 = 4*r, -2*v + 5 = -r. Let x = -5 + v. Let j(h) = -6*h + 1. Does 3 divide j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 + 17 = 2*r, -x - 9 = r. Let y be 0 + 21\/49 - x\/(-28). Which is the biggest value? (a) 4\/5 (b) -1 (c) 0.1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000000000011010 (base 2) to base 12.\nAnswer: -95962","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -431 + 912. Let o(c) = 7*c + 475 - v - 3*c. Let p(z) = -3*z + 5. Calculate 5*o(a) + 6*p(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 12:46 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 101 - 189 = 152. Solve -2*v + u = k, -4*u + 133 = 4*v + 129 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 135*r**2\/2 - 277711*r\/2 - 439372073\/6.\nAnswer: (r - 953)*(r + 679)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*(-6)\/(-2). Suppose -11 = 4*g + 5*o + 1, -g + o = -6. Differentiate k + g - 2 - z**3 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -71, -155, -315, -575, -959?\n\"Answer: -4*c**3 - 2*c**2 + 2*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 23 = 4*o, 3*o + z = -95 + 106. Let u be (-11)\/(-1) - 3 - 4. Solve u*t = -k - 8 - 5, o*t + 2*k = -14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11068 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 1645*t - 1659*t. Let u = -3 - -5. Solve -2*w + c = t, 2 = -w - 7*c + u*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-186)*1)\/(1*2\/12)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.108. Let a = 22.008 + -25. Let t = x - a. Sort t, 0.1, -0.2 in increasing order.\nAnswer: -0.2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = -3. Suppose -3*o = s + 3, -3*s - 7*o = -2*o + 1. Find the second derivative of 2*g**3 - 2*g**s + 2*g + g**d wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 873 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -128087?\nAnswer: 25617.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) 6 (c) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*l + 0*l**2 + 0*l**2 - 11*l**3 + 9*l wrt l?\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1028 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 o when four letters picked without replacement from {o: 4, p: 1, i: 9}.\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 0.21 (c) 1\/8 (d) 13 (e) 0 (f) 0.4 (g) -155\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23716335 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 703*n*v - 16412*n*w + 2*n + 5*v*w + 2*v with respect to w.\nAnswer: -16412*n + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57659 is divided by 14227.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 32*j - 32. Let z be c(33). Let v(i) = 3*i**2 + 13*i - 12. Let f be v(z). What is the closest to 2\/5 in -27, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 - -148. What is t in 1\/2 - 1\/4*t**d + 1\/4*t - 1\/2*t**2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235005 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5878 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 6*z + 72783 = 72756, 2*d = -d - 5*z + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -409, -404?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 64 = -68. Let y = d + 151. Which is greater: 183 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*g, 2*g - 9 = 2*s + 3. Suppose -g*a + 14 = 4*a. Factor -12\/5*z - 18\/5 - 2\/5*z**a.\nAnswer: -2*(z + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(27))*-4*1)**2.\nAnswer: 96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 0, -4*p - 1 = -2*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1048814.8 to the nearest ten thousand.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4425474, -4425469, -4425460, -4425447, -4425430, -4425409, -4425384?\n\"Answer: 2*s**2 - s - 4425475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + d?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 + 2. Let r be d(2). Let v = -4 - r. Put -0.2, v, 0 in increasing order.\nAnswer: v, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*m - 31 = 0, q - 4*m + 15 + 6 = 0. Let b be q\/(-20) - (-955)\/20. Let s = -6 + b. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1126 = -2*c, 18*c + k = 20*c - 1122. Calculate the remainder when c is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -3*b + 8. Let j(w) = -36*w. Let s(h) = -h. Let q(u) = b*s(u) + j(u). Calculate q(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 102 = -8*k. What is the smallest common multiple of 7 and k?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 20 = 3*j, -2*j = -8*f + 3*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5*a**2 + a + 4. Let m be l(-5). Let b be 420001 + 1 + m + -1. Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1891.1 + -1891.09990826. What is j rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 8 - 35 = -19*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294893411 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26870 + -1902. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610*m + 618*m - 3328 = 0. Let k = m - 406. Solve 0 = -2*f + 10 - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/3)\/(16\/(-24)). Suppose -4*h = d - 8. Let s = 5 + -3. Solve m - a - 1 = 0, -m - s*a - h + 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1987*y = 1377*y + 57950 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 19 - 146470603*h + 146470604*h.\nAnswer: h + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46*26\/(-12)*264\/(-1144)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 30 = 5*r, 1538*i - 1537*i - 8 = -2*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9))**(-7\/3)\/((((z\/((((z*z\/(z**(-5)\/z)*z)\/z)\/z)\/z*z))\/z)\/z)\/z*z*z**11) assuming z is positive.\nAnswer: z**(-95\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s**3 + 248814*s - 7*s**3 - 248811*s + 3*s**2 to w*s + q*s**2 + j*s**3 + x and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/35*-2*7. Solve 0 = t*h + o + 12, 5*o - 10 + 0 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158722, 1269756, 4285408, 10157986, 19839798?\nAnswer: 34283152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35cf6d (base 16) to base 4.\nAnswer: -31130331231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 306, 447, 594, 753?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75643, 74657, 73013, 70711, 67751, 64133?\nAnswer: 59857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*z + 656 + 1939, 2550 = 5*h - 5*z. Suppose -4*r + 305 = -h. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide ((-4128)\/(-18) - 2\/(-3)) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 141*s**2 - 10201*s + 1468707. What is f(142)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/139880 and -13\/48151.\nAnswer: 25038520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 13) to base 4\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2993*q - 8983. What is b(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 2. Let m be c(-7). Suppose -2*g - 2205 + 411 = -2*t, -t + m*g + 917 = 0. Suppose -5*r = -48 - t. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/4 - (-47)\/(-15). Let l = -1 + 3. What is the nearest to -0.1 in i, l, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 12:51 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/421600 and -49\/24180.\nAnswer: 16442400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 12359312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Let v = h + 3. Suppose -2*d**2 - d**4 + 3*d**4 - 2*d**v + d + d = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 - 2*u + 3. Let p be x(-2). Let r(d) = 11*d**2 + 3*d. Let q(m) = 21*m**2 + 5*m. Calculate p*r(y) + 3*q(y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -305*a + 1. Let w(z) be the second derivative of -z**7\/2520 + 4*z**4 + z**3\/2 + 243*z. Let h(t) be the third derivative of w(t). Determine m(h(g)).\nAnswer: 305*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:42 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18908 - 340495\/18. Let b = -8057\/5 - -1601. What is the common denominator of b and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1757 - 1735. What is the remainder when 253 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 10*u - 1. Let y be a(-10). Let v be y*2\/(-5)*20. Solve c = -c + v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 - 14*n - 16 = 0. Calculate n.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*s + 29 = 0, -5*z - 5 = -s - 45. Let u = -3 + z. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or 1?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 1\/((-3)\/57). Let r be 59\/2 - 4\/(-8). What is the highest common divisor of x and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 8}. Give prob of picking 1 v and 3 s.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384094634 to the nearest integer?\nAnswer: 19598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -153 + 125.8. Let q = i - -27. Let r = 5.6 - 6. Sort 2\/11, q, r in decreasing order.\nAnswer: 2\/11, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83450 + 117724. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 - 3. Let c = o + 0.2. Let j = 15.3 - 20.3. Is j less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2223, 2339, 2455?\nAnswer: 2571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1612846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -194*a**4 - 3*a**2 + 308*a. Let w(x) = -195*x**4 - 4*x**2 + 309*x. Let v(y) = 6*u(y) - 5*w(y). Find the third derivative of v(m) wrt m.\nAnswer: -4536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -73, -193, -373, -619, -937, -1333?\nAnswer: -1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 13*y = -3. Solve 0*w - w = y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153915 to the power of 1\/2, to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7644839 is divided by 1003?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 15. Let t = -6881 + 96321\/14. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-744)\/24552)\/(2*6\/18).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, 1\/3, 0.1, 1, 2\/15, 0.05 in increasing order.\nAnswer: 0.05, 0.1, 2\/15, 1\/3, 1, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 8)*(-2*d**5 + 2*d**2 + d**2 - 4*d**2).\nAnswer: 4*d**5 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4433 + -4?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 11:53 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6924.873 and 0.06?\nAnswer: 6924.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144903100.000122 + 144903229. Let y = -129 + n. Round y to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - 4 - (-100 + 98)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 5 - 5)*(-3 - 2 + 3 + (-5 + 2 + 1)*(-1 + 2 - 3))*(-10*a**3 - 13*a + 13*a).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/9*-12 + 14 + 14. Solve 5*i = -4*k + y, k + 34 = -2*i + 38 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n = 16*n - 3*f + 9, n - 5*f = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 4, -12 in descending order.\nAnswer: 9, 4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 - n + 2. Let p(z) be the second derivative of z**4\/12 + z**3\/6 + z. Let w = 21 - 22. Let r(y) = w*k(y) + 3*p(y). Factor r(g).\nAnswer: -2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -160, 61, 244, 377?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10191007282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/37212 and 25\/47844.\nAnswer: 334908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/10 + (-532)\/95. Let i(y) = 2*y**2 + 1. Let z be i(1). Let b = z + h. Is b at least as big as -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1029\/8 - 1031\/8. Which is the nearest to s? (a) -42 (b) 0.2 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16411 + 16414. What is the third biggest value in -21, 26, c?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000931164 rounded to 6 decimal places?\nAnswer: -0.000931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(425)*-1 - sqrt(425)) + sqrt(425) + sqrt(425) + (sqrt(425) - (sqrt(425) + -2*sqrt(425))*4)**2 + 4.\nAnswer: -40*sqrt(17) + 10629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -919 + 3250. Let y be 9 - (-3 + t\/196). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*a**3 - 34 + 364*a**3 - 1526*a**3 + 34.\nAnswer: -1373*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3281 + 570. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 = 2*h - 3, -3*r - 5*h + 16 = 0. Let p(d) = 2*d**2 + 0*d**2 + 0*d**r. Let u(c) = -c**2. Determine u(p(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3\/6 + p**2 + p. Let q be y(4). What are the prime factors of (-4)\/q*45\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -2047011.\nAnswer: -2047016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-792)\/(-1155))\/6)\/((-8)\/(-20)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 5861482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnhcrhhcctthk. Give prob of sequence rh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**5 + 0 + 19\/120*c**6 + 12*c**2 + 13\/6*c**3 + 0*c**4 + 0*c. What is the derivative of m(i) wrt i?\nAnswer: 57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2500)\/(-4375)*14*(-2)\/(-8). Which is the nearest to q? (a) 0.76 (b) -2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from {q: 3, w: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115933545?\nAnswer: 3, 5, 7, 13, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3)*(-1 + -2). Let k(r) = -r**2 + r**3 - 8*r + 9*r - t + 0*r**2. Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p - 24. Suppose -2*t - 18 = -6. Let l be v(t). Calculate the greatest common divisor of l and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 + 192. Suppose -j + 2*h + 14 = 4, 4*j + 4*h = -w. Let x(c) = -c**2 - 2. Determine x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1095?\nAnswer: -1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/17)\/d))\/((d*d**21)\/d) assuming d is positive.\nAnswer: d**(-321\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzllzlzldll. What is prob of picking 1 z and 1 l?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 567, -0.12, -0.2, 3, -6 in decreasing order.\nAnswer: 567, 3, -0.12, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 205*n**3 - 3*n**2 + 4*n - 2. Let y be 2\/12*15*(-2)\/(-5). What are the prime factors of i(y)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 11*l = -4*m - 6, 5*m + 3*l + 35 = 0. Let z(b) = b**2 - b - 1. Let u(w) = -w**2 + 4*w. Give m*z(c) - u(c).\nAnswer: -3*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + m + 10 = -11*g, g + m = 2. Suppose g*h = 1347 - 1329. Solve 2*n + 0*n = -h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/36125 and -49\/2884375.\nAnswer: 833584375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1581*d**2 - 44267*d + 39. Give y(-28).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.1. Let f = -541.660088 + 541.46. Let d = p + f. What is d rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -5) - 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1744 and 5675848?\nAnswer: 11351696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -2*d + 10 = 3*f - 18. Suppose o = -o - 2*m - 2, -2*m = -4*o + d. Let l be (4\/(-3))\/((-35)\/15). What is the third smallest value in -3, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -43*a - 12. Let j(s) = -13*s - 5. Let w(z) = 10*j(z) - 3*o(z). Let u(t) = -4*t**2. Calculate u(w(m)).\nAnswer: -4*m**2 - 112*m - 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1034234 (base 5) to base 9.\nAnswer: -26706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 13) to base 8.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256291\/427135 - 2\/85427. Sort -4, k, -3, 1\/3, 31.\nAnswer: -4, -3, 1\/3, k, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 at least as big as 1852142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxf when three letters picked without replacement from rffwdlx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11714181 to the power of 1\/2, to the nearest integer?\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 7. Let k be s(5). Is (4 - k)*0 - -9 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -1\/3, -0.2, 1\/4 in ascending order.\nAnswer: -1\/3, -0.2, 1\/4, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 20, -77.54, -1\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4561, -4557, -4553, -4549?\nAnswer: -4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 39. Let k = n + 4.000086. What is k rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17384)\/(-24600) - (3 + 14\/(-6)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 - 125*f - 40. Let q(v) = -v + 2. Let j(g) = -c(g) - 20*q(g). Let j(p) = 0. What is p?\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*y + 1065 = 0, 6*y - 3*y = -2*x + 695. Is 32 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9538782 + 9538788.0000148. Let n = 6 - m. What is n rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -0.0098412?\nAnswer: -5.0098412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-30)\/(-4))*-8*5\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 - 196188*r - 588528 = 0. Calculate r.\nAnswer: -49044, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - -3 - 7) + -3 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8674112537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*x = -28, -2*k = -6*k - 2*x - 26. Let m(u) = -u**2 - 4*u - 3. Calculate m(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227\/4 greater than or equal to 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543873256.\nAnswer: 2, 67984157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {w: 3, h: 3, v: 1, u: 3, t: 1, d: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/2 - 2 - -1. Suppose -2*m - 8 = -x*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 126, 135?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*k + 28. Let d = -0.1 + -0.1. Let h = 1.8 - d. Sort 0.1, k, h in ascending order.\nAnswer: k, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 92\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*a**2 + 243*a**2 + 334*a**2 + 41*a**2.\nAnswer: 936*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/301 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 201860160?\nAnswer: 201860160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-2*(-1 + sqrt(648)) - ((-2*sqrt(648) - sqrt(648) - sqrt(648)) + -3) - 2*(sqrt(648) - (sqrt(648) + 4 + 3))))**2.\nAnswer: 1008*sqrt(2) + 2788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(192)*-1 - sqrt(192)) - (sqrt(192) + 1 + sqrt(192))*2))**2.\nAnswer: -128*sqrt(3) + 3076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4420377 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1540\/(-30))\/22)\/((-7)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 1157720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b - 1844 = -1712 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*d - 137 + 35, 65 = 3*k - 5*d. Suppose 3*i + 3*z = 4*i - 30, 5*z + 30 = i. Calculate the highest common factor of k and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4812.\nAnswer: 14436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57839*d**2*s**3 + 2396*d**2*s + 21*s**2 wrt s?\nAnswer: -347034*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6315 and -52\/6965.\nAnswer: 8796795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3335656009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 35. Give k(33).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*4\/120*15\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 926228.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-89)\/(-3) - (-24)\/18. Suppose -10 = -h - f*z + 26*z, 0 = 3*h + z - 2. Solve -6 = -3*k - h*j + 3*j, -k = -2*j - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -162 + 12. What is the remainder when 109 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*h - 4)*(-h**2 + 13*h**2 + 2*h**2) + 128*h**3 - 307*h**3 + 117*h**3 to the form g*h + o + x*h**2 + t*h**3 and give t.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33475 - 33475 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-803)\/292)\/(2*(-1)\/(-4)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3 and -16\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0 + 6. Suppose -3*c - f*c + 10 = 0. What is the third derivative of -5*m - 3*m**c + 5*m + 0*m**2 + 4*m**5 wrt m?\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 46 = v - 2*i, -5*v + 8*i - 30 + 120 = 35*i for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:08 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 9 + (8 - 3\/((-3)\/(-14)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(475) + sqrt(19))*2)**2 + (1*(sqrt(114)*-3)\/sqrt(6))**2.\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -306, -322, -346, -378?\n\"Answer: -4*w**2 - 4*w - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 7*t = -21. Let n be 18\/4*2\/t. What is the third derivative of 5*g**2 - 66*g - 6*g**n + 66*g wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136 - 410 + 110)*(1 - 1 - x**2) + 9*x + 3*x**2 - 9*x.\nAnswer: 167*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12098431 is divided by 232?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((1\/(-12))\/((-3)\/108*4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53600 - 12505. Suppose 3*o - l = 108905. What is o rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 2. Let c be ((-32)\/6)\/(((-24)\/27)\/(-8)). Let d = c - -42. Let n = d - -8. Give u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 65 (b) 10 (c) -1\/10 (d) -2\/5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59635 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = -5*i + 10, 0 = -4*a - 12. Let j = 6.8 - 2.8. What is the third smallest value in i, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75923.99958249 - 75924. What is u rounded to 6 decimal places?\nAnswer: -0.000418","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 31 + 2*n**3 - 135)*(4*n - 2*n - 4*n) in the form j*n**2 + v*n + p + o*n**4 + g*n**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -172583, -690319, -1553217, -2761277?\n\"Answer: -172581*m**2 + 7*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 43 + (30 - -34).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 224\/9*n**2 - 50\/9*n**3 + 2\/9*n**4 - 232\/9*n = 0. What is n?\nAnswer: -2, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 38*t**2 + 36*t**2 + 38*t**2 - 150*t**2 + 45*t**2 to the form d*t**2 + l*t + y and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 33*x + 3302 = 0. Let p = -17 - x. What is the highest common factor of 44 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-423))\/(16*22\/(-2112)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 5:25 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.0096\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24761944 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4 - 3*p**2 - p + 22*p - 1 + 29 + 0 = 0?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.19 + 0.15. Let y be 812\/(-252) + -1 + 4. Sort q, 0.4, -2, y in increasing order.\nAnswer: -2, y, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1017, 1014, 1027, 1056, 1101, 1162?\n\"Answer: 8*w**2 - 27*w + 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5681 - -5681. Which is the nearest to -0.007? (a) z (b) 4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 141*d**2 - 67*d**2 + 6 - 5 + 2*d - 75*d**2. Let t(y) = -y**2 + 3*y + 2. Suppose 0 = -r + 5*r - 12. What is r*t(g) - 5*x(g)?\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -223*i + 2142. Determine m(0).\nAnswer: 2142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115015 is divided by 4038?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (1 + 1 - 4)*(1 + 0 - 2))*(19*x**2 + 11*x**2 - 14*x**2).\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 392115*-11*11\/(-363) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 2*n. Let i be (n - (-1 + -1)) + 4. Solve q - z = 4*z + 1, 20 = -4*q - i*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/14*(-233)\/(-6). Let c = i + -35\/6. Let j be 4\/(-6)*((-1248)\/(-52))\/(-24). What is the second smallest value in c, -1\/9, j?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45489428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 5*m**2 - 5*m + 8. Let y be l(-6). Suppose 3*k - 29 = -5*s + 11, 0 = -5*k + 5*s. Solve y*c + 21 = 4*c + k*f, f - 6 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31320)\/(3 + 144\/(-32)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 8*y - 2. Suppose 16 = -g - q, y*q - 1 = -11. Let x be (3 - 5 - -3)*g. Which is greater: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 34 = -8. Suppose -5 = -3*w + s. Put -3, w, -1 in descending order.\nAnswer: w, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361866 divided by 180933\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in -48, -0.5, 2\/9?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13151)\/35 + (-24)\/(-40). Let h = v + 375. Let i = 0.2 + -0.3. Sort 1, h, 23, i in increasing order.\nAnswer: h, i, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51005 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -81998125 divided by -1375?\nAnswer: 59635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 63. Let j = 19 + v. Let m be 3*j\/4 - 1199997. Round m to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725034699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(216) - sqrt(216)*-1 - sqrt(216)) + sqrt(216))\/(sqrt(2)*1*6*5))**2.\nAnswer: 48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*p - 5*d - 75, -4*p = 5*d - 15. Let s be ((-4)\/p*1)\/((-42)\/(-420)). Put s, 4, -12, -2 in decreasing order.\nAnswer: 4, -2, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7282 + -4232. Let v be (-97 + 137)\/((-1)\/h). Round v to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -3)*(-2)\/(-4). Let g be w\/9*(2 + -3). What is the closest to 1\/2 in g, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0070685 to 4 dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + 45 + (-19 + 21 - -8).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(30\/7)*m*m)\/m**48*((m*m\/(((m\/m**38*m)\/m)\/m)*m)\/m)**(-3\/5))**(-16\/3) assuming m is positive.\nAnswer: m**(7360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 381955?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/5587 or -1?\nAnswer: 10\/5587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39\/((-1170)\/48))\/((-4)\/160). Solve 1116*p - 1108*p - r = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.14, 127, 0, -2\/9, -2\/3, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3 - 14875*a**2 - 14*a - 500009?\nAnswer: -6*a**2 - 29750*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -176351.825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 10345920?\nAnswer: 93113280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22738 is divided by 1259?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 15. Let y be ((-108)\/(-81))\/((16\/6)\/4). Solve -y*n = n - w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*d + 56, -4*t + d + 54 = -0*t. Suppose -5*q - 5*o = -5, -3*o - 2 = -3*q + t. Solve 3 = 3*y - q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 172. Is k a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93798.7098069 + -719.1501351. Let r = 94518 + o. Let d = -0.14 + r. Round d to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51480677 equal to -51480676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -2*z - a, -4*z = -a - 1. Let x = -69 - -73. Suppose x*d - z = 3*d. Solve -4 + d = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4595 + 0.0595. Which is the closest to k? (a) -0.7 (b) 0.4 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 16. Suppose 3*l + 1 = f. What is the common denominator of -17\/2 and (-2)\/(-7) - 22\/l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(1\/15))\/((t*t\/(t*t*t\/t**(-1)*t)*t)\/t))\/(((t\/(t**20*t*t)*t)\/t)\/(t\/(t**(-1)*t*t*t*t)*t)) assuming t is positive.\nAnswer: t**(376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4101?\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7989 - 20876 = -5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484359, -968782, -1453205?\nAnswer: -1937628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50455473 and 7?\nAnswer: 353188311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, i: 2, w: 1, g: 8}. Give prob of sequence gii.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -5, -179, 4\/5, -162?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 7*o + 5. Let y be c(7). Suppose 0*a + 125 = 5*a. Solve y*z + a = -0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -33*m**3 - 2*m**2 - 4*m + 5. Let a be q(-5). Let r = a - 45051\/11. Find the common denominator of 3\/12 + 306\/56 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 3. Let h(m) = -2*m - 6. Let v(b) = b + 10. Let k(i) = 5*h(i) + 3*v(i). What is k(x(f))?\nAnswer: -14*f**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Suppose -y*p + 5 = -2*c + 86, -5*c + p = -168. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40274 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3736*a + 6165. Does 36 divide t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**14)\/(n\/n**13))**(-1\/9)*n**(-2\/3)\/n*n**(1\/2)*n*(n**(-5\/4)*n)\/n*n\/(n\/n**(-1)) assuming n is positive.\nAnswer: n**(-199\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/3 (b) -297\/229 (c) -12\/25 (d) 0.5 (e) -1 (f) 5\/4 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6556596 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 110, 113, 116?\n\"Answer: 3*f + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 58 = 10. Suppose 0 - p = y. Let a = y + 146. What are the prime factors of a?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12344644.18 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 34*m = j - 9284, 37142 = 4*j + 5*m. What are the prime factors of j?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 43 = 5*b + 12, 3*n = -15. Let j = 16 + b. Which is smaller: 5 or j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30.685716 or -29?\nAnswer: -30.685716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z - 3. Suppose -514 = -4*w + 5*y - z*y, 511 = 4*w - 3*y. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 52 = -0*u - 5*u, 3*r - 64 = -2*u. Suppose 15 = -3*v + 8*v. Suppose m = -v*m + r. Solve 5*g = -1 + m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -60. Let p = -27.5 - g. What is the third smallest value in 1\/7, p, -5\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (1 + -3)) + -1 - -14.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/19)\/(x\/((x\/(x*((x*(x*x**(-4\/5)*x)\/x)\/x)\/x*x))\/x)))**(-1\/10) assuming x is positive.\nAnswer: x**(179\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/3 - 152*m**3\/3 - 2888*m**2 - m + 99. Solve i(p) = 0 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**3 + 12*w**2 + 2*w - 27 wrt w.\nAnswer: -12*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 791868040 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**3\/2 - 3*o**2 + o + 33. Suppose 4*i = 3*i + 2*r + 18, 27 = 2*i - r. Suppose -i = u - 4*u. Calculate f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -38*d**2 - 33 + 21 + 12 in the form s*d**2 + a + r*d and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22298 by 50.\nAnswer: 11149\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -85.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 5*l - 7*l + 64 + 3*l - 3*l.\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 + 3155091*f\/5 - 6310194\/5.\nAnswer: 3*(f - 2)*(f + 1051699)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09205 + 0.09211383. What is d rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30284338.9999995 + -30284349. Let v = z + 10. What is v rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 750, 2198, 4302, 7014, 10286, 14070, 18318, 22982?\n\"Answer: -8*n**3 + 376*n**2 + 376*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500) + -4 - (sqrt(500) - ((0 + sqrt(500) - sqrt(500)) + -4 + sqrt(500))))**2 - (sqrt(5) + sqrt(320) + -2 + sqrt(30)\/(sqrt(6)*1)).\nAnswer: -330*sqrt(5) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10*q = -160. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/168 and -179\/122640.\nAnswer: 122640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 14*u - 7. Determine p(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*q - 73*q - 86*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293114.6768 rounded to the nearest one hundred?\nAnswer: 293100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1768\/(-26) + 2\/4*6. Let f = l - -71. Solve 16*v + f = 14*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(0 - 9\/(-53724)). Suppose 15*z + 7*z - j = 0. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 16*q**3 - 5*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149981695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, -1.9 in decreasing order.\nAnswer: -1\/5, -1.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*h + 4 + 12, 4*h - 11 = 5*u. Suppose 1291 + 149 = h*p. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/9 + 562024*o\/3 + 1686070\/9 = 0.\nAnswer: -843035, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8679867 by -21.\nAnswer: -413327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 530.422 days?\nAnswer: 763807.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-5)*12\/9. Suppose -3*j + 77 = b, 2*b - 144 = y*j - 4*j. What is the remainder when b is divided by ((-5)\/(-2))\/(2\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose 0 = -o + g*o + 12. Let u = -10 - o. What is the second biggest value in u, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/25)\/(-6*(11\/(-693))\/((-50)\/(-30))).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-29)\/p)\/p)\/p**(-14)*(p\/((p**5\/p)\/p*p))**(33\/2) assuming p is positive.\nAnswer: p**(-133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.593296056 rounded to two decimal places?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 7. Determine p(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*r + 107*r + 104*r + 26 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {p: 3, s: 4, m: 1, v: 2, e: 1, l: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 963.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001550053 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 + 106422*x = 0 for x.\nAnswer: 0, 35474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/5 + (-3)\/(-15). Let z be (g\/(-8))\/(4\/(-24)). Let k be 2\/((3 - 4) + -6). Which is the closest to k? (a) z (b) 5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1276 by -638.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61396 is divided by 754?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542918237?\nAnswer: 283, 1918439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from uuluttuutntllutl.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 66652 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-3) + 6\/(-9). What is the second derivative of 4*d - a*d + 0*d + 2*d**2 wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -18\/7 (b) -2 (c) 1\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/53 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.06 plus -19823?\nAnswer: -19825.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, 232, 959, 1966, 3247, 4796, 6607?\nAnswer: 8674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 170749*f + 1024500. Determine k(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9)*8\/20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 8. What is the second derivative of h - z*h**3 - 5*h - 4*h - 3*h wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128, -1139, -1176, -1251, -1376, -1563?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*h = 0, -3*r = -5*h + 27 - 63. Which is greater: 62 or r?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -9*((-1066)\/819 - (-18)\/21).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 43007.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.32 - -11.32. What is the biggest value in 1\/2, 0, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {w: 1, k: 1, a: 1, t: 1, p: 1, y: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 595 - 588. What is the highest common divisor of k and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 61*d - 59*d + 546, 0 = d + 5*x + 285. Let s = 1857\/7 + d. Factor s*v**3 - 18\/7 + 30\/7*v - 2*v**2.\nAnswer: 2*(v - 3)**2*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 37.7?\nAnswer: 37.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o - 46*o = -74*o - 253 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40710 + 10419 = 13*h. What are the prime factors of h?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 - 4*f - 1. Let u(a) = -2*a**3 - 7*a**2 + 3*a + 1. What is -5*k(s) - 6*u(s)?\nAnswer: 7*s**3 + 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 435*c**3 + 3*c**2 - 8*c + 4295. Let w(b) = -872*b**3 - 5*b**2 + 13*b - 8592. Let n(q) = -3*w(q) - 5*z(q). What is the first derivative of n(s) wrt s?\nAnswer: 1323*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 0 - 1\/2*o**2 - 1\/12*o**4 + 1\/6*o**3 + o - 1\/20*o**5. Let h be j(-2). Solve 9 = -5*q - h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124244111 - 1?\nAnswer: 124244110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 - 32*h**2)*(2 + 2 - 3) in the form b*h**2 + o*h + y and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*x = 12*x - 340. Solve 0 = -j - 11*h + 8*h - 8, -x*j = -4*h - 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 623*c**3\/6 - 449*c**2\/2 + c - 36. What is the first derivative of r(z) wrt z?\nAnswer: 623","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60755730 divided by -6\nAnswer: -10125955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -39*w. Let k(g) be the second derivative of -g**4\/24 + 12*g**2 - 6*g. Let c(a) be the first derivative of k(a). What is j(c(f))?\nAnswer: 39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 - 2*t - 3. Let o be v(-3). Let s be (o\/15)\/(2\/(-10)). Suppose -4*w + 4*f = -0*f - 12, 24 = 3*w + s*f. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-2)\/(-40))\/(3\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = s - 9, -2 = -b - 3. Are 11 and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:14 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/105 + 4*i**6\/15 - 19*i**5\/10 + 72*i**2 + 4*i. Factor x(l).\nAnswer: 2*l**2*(l - 3)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348737.\nAnswer: 61, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - 7*j + 4*j**2 - 5*j**2. Let l = 138 + -135. Let u(g) = -2*g**2 + 3*g. What is l*r(i) + 7*u(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 3*y - 3. Let m = 6 + -17. Let c = -7 - m. What is the tens digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/10)\/((-2)\/4). Let p = 12.76 - 13.76. Which is the second smallest value? (a) d (b) p (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 - 12)*(-1 - -1). Suppose 0 = -5*p - 3*v + 59, w = 3*v - 5 - 4. Calculate the remainder when 28 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80976 divided by 964\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/692993 and -37\/175.\nAnswer: 17324825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - q + 0*q + 3*q - 4*q + 2*q - 2*q - 2*q + 2 - 2 - q + (6*q - 4*q + 0*q)*(2 - 4 + 0) + 0 + 0 - q + 5*q - 2 + 2 + q + 2*q + 0*q)*(5 - 3 - 1).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6\/(-1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28739*q**2 + 5*q + 3*q**3 - 18*q**4 + 28734*q**2 - 4 + 17*q**4 in the form m*q**2 + u*q + i*q**3 + a + t*q**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzk when four letters picked without replacement from kkkzkkkkzkkzkkzkkkk?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188041585*o**4 + 1357*o - 87591.\nAnswer: 2256499020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*c + 4*q + 96, -c - 4*q + 200 = 176 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + ((sqrt(208) + 0)*-3 - sqrt(208)) + -6*sqrt(208)*2)**2 + 1)*-6.\nAnswer: -280806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6665178, 9, -0.2 in descending order.\nAnswer: 9, -0.2, -6665178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*s + 5*p + 165, -4*s + 258*p = -255*p + 518*p + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 9 + 45 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017504103 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 208 (b) 1 (c) 32\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**3 + 21*f**2 - 7*f - 7. Let p(m) = 3*m**3 - 11*m**2 + 4*m + 4. What is -7*p(o) - 4*t(o)?\nAnswer: 3*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/3, -4, -1\/116 in increasing order.\nAnswer: -4, -1\/3, -1\/116, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94\/5 + 668\/35. Let y = 2165 - 2160. Let r = 7\/15 - 17\/15. What is the closest to s in 0.5, r, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*y + 2 = -w, y = w - 7. Let d = w + -2. Suppose -3*m = -h + 2*h - 15, 2*h = -5*m + 25. Which is the third smallest value? (a) h (b) 3\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -21*d**2 - 2. Let f(r) = -3*r**2 + 1. Let a(n) = f(n) + j(n). Give a(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + 254?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, u: 1, k: 2, j: 4}. Give prob of sequence dkdk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**3 + t + 14*t**3 + 0*t**3 - 3*t**3 + 305*t**2 in the form c + n*t**3 + r*t**2 + v*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 7*h + 1. Let r be m(6). Suppose 3*g - 4146 = v - 521, -6030 = -5*g + 4*v. Suppose r*q - g = 8*q. Round q to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 2*q**4 - 3*q**4 + 4*q)*(-q + 2*q - 3*q).\nAnswer: 2*q**5 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 + -3 - -23) + -2336 + 2296?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76*(-12)\/(-3990)*7\/(-60)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*l - t - 3, 0 = -5*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 6*c. Give a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 625 - 674 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(2 - (-112)\/(-57))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7 - 4 - 3 - 45*r. Let a(k) = 87*k. Let u(g) = -39*g. Let t(w) = 4*a(w) + 9*u(w). Give t(d(m)).\nAnswer: 135*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 2*u**5 + u**5 + (-u + 2*u + u)*(-2*u**4 - u**4 + u**4) - 643*u**2 + 643*u**2 - 394*u**5.\nAnswer: -397*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44038819 to the power of 1\/2, to the nearest integer?\nAnswer: 6636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = 32*o - 24*o - 12. Calculate the remainder when 791 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 9.9. Let m = -9 - -12. What is the third biggest value in m, 21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 23*t + 26*t + 140854, 3*n = -4*t + 84495. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -3*k. Let r = 8 - k. Solve -2*b**4 + 3*b**4 + b**r + 0*b**4 = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*s - 121*s = 0. Suppose s = -4*n + 4*u + 52, -21 = -4*n + 3*u + 30. Put -2, n, 9 in ascending order.\nAnswer: -2, 9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -10*k**4 + 827*k**3 - 2861*k**2 - 4883*k - 1185 = 0.\nAnswer: -1, -3\/10, 5, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(91)*-5 - sqrt(91) - -1*sqrt(91)*1)*-5)\/(-4*sqrt(49)\/sqrt(7) + 1*sqrt(567)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 18*g**2 + 327*g - 209. Let d be n(-19). Let t be 1*-2*(-2)\/16. Sort -2, t, 5, d in descending order.\nAnswer: d, 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-148)\/15 + (-98)\/735. What is the nearest to 0.2 in -0.3, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2311 - 2285. Solve -r*s + 43*s = -85 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 117 times -435\nAnswer: -50895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -6*v + 4068. Suppose 9*x - 5*x + 440 = 2*j, 3*x + 3*j + v = 0. Let s = x - -186. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917 is divided by (10\/(-8)*-2)\/(9 - 980\/112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6084.55 + -24.05. Round a to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 30 = 5*g, -7*w + 129 = -2*w - 4*g. Suppose w = 9*j - 2. Suppose 0 = -j*u + 16 + 5. Calculate the smallest common multiple of u and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 + 4)*(-573*n**2 + 79*n**2 + 77*n**2 - 2*n) in the form d*n**2 + z + j*n and give d.\nAnswer: -5004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f. Let l = -33 - -15. Suppose 3 = b + 1. Suppose 5*a - 8 - b = 0. Let u(i) = -8*i**2 - 9*i. What is a*u(k) + l*n(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72286.\nAnswer: 2, 47, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -72*p - 310. Let q be d(-8). Calculate the greatest common factor of 152 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11188621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -8*(-7 - (-120)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 50. Let j be z(16). Let c be 1 + (4\/j - (-274)\/18). Suppose 3*r = 4*u - 2*r + c, 4*r = 16. What is the least common multiple of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z + 9*z - 56 = -19*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (108\/20 + -5)*-56*(-100)\/91840\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 11*p**5\/5 - 3*p**2 + 2. Find the second derivative of v(h) wrt h.\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and 1\/2265470 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -417220 (base 9) to base 12.\nAnswer: -bb660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-365)\/3212)\/((-25)\/40)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**3 + 252*u**2 - 1379*u + 42643876?\nAnswer: 6*u**2 + 504*u - 1379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12112 (base 3) to base 6.\nAnswer: -405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385\/152, 2, -4416 in decreasing order.\nAnswer: 2, -385\/152, -4416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -14 + 412*j - 589*j - 1168*j. Is a(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/624138 and 127\/2448.\nAnswer: 14979312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 0*z**2 + 1\/16*z**4 + 1\/12*z**3 + 0*z + 2. Factor m(k).\nAnswer: k**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 296*x**2 - 3096*x + 31. What is w(10)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -27*h**3 - 42*h - 69. Let r(z) = 17*z**3 - z**2 + 42*z + 70. Let g(u) = 3*r(u) + 2*y(u). Factor g(f).\nAnswer: -3*(f - 4)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 5, 0.08, 13 in decreasing order.\nAnswer: 13, 5, 0.08, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 707, 1503, 2389, 3365, 4431?\n\"Answer: 45*t**2 + 661*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.14, -1, -128, -22, -0.5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3502571.\nAnswer: 3502571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902*k - 447*k - 447*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 0, -34, -106, -228?\n\"Answer: -2*k**3 - k**2 + 9*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.58 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - -2 - (83 - 87)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i*o*v + 20*i*o - 2594*i*v - i + 52*o*v + 628629*o wrt i?\nAnswer: 5*o*v + 20*o - 2594*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*k**3*v**2 + 3*k*v - 336930*k - v**2 + 112254932*v + 1 wrt k.\nAnswer: -15*k**2*v**2 + 3*v - 336930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002509555641 to 7 dps.\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 31*g**2 + 2*g + 76. Let b be r(-31). Put -3, b, -17 in descending order.\nAnswer: b, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373053 (base 13) in base 8?\nAnswer: -5023021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-5))\/(-18*(-34)\/(-3060))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*h - 6, 5*b - 2*h = -6*h + 47. Suppose -3 - b = -p. Suppose p*c = 8*c + 230. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 2:33 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -33. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67006 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and -19748821.32034.\nAnswer: -19748828.32034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7347927551 a multiple of 6247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + 11 - 26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237.4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1739662573 to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*r**2 + 178*r**2 - 544*r**2 + 186*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448729, 448773, 448819, 448867, 448917?\nAnswer: 448969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctoccxctiotcookc. What is prob of picking 2 t, 1 k, and 1 i?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 109892913 and 50719806.\nAnswer: 659357478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32274417974 + -5.27?\nAnswer: -32274417979.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 282*f + 1413. Give t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 14*x**2 - 34*x - 4. Let l be i(11). Let k = -19 - -63. What is the smallest common multiple of k and l\/(-6)*(-8 + (-184)\/(-20))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.05858261 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/24*7*90\/280.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-76)\/(-8))\/(10\/20). What is the greatest common factor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 490.\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -t - 10. Let y be (-8)\/42*((-9)\/t + 3). Factor 0 + 0*l**2 + 0*l + y*l**3.\nAnswer: 2*l**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 11. Let b(w) = 40*w + 330. Let q be b(-6). Suppose t*o - q = 18. Calculate the smallest common multiple of o and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, 5883, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**8\/2100 + f**7\/840 + f**6\/1800 - f**3\/2 - 4*f. Let m(a) be the second derivative of l(a). What is r in m(r) = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:20 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - g + 10, p - 3*g + 0 = -6. Suppose -p*l = -2*l - 16. Suppose l*r = 53 + 19. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + f**2 + 1. Let j(b) = -2*b**3 + 6*b**2 - 7*b + 5. Suppose 0 = -2*i + 12, -3*i - 79 = -4*l - 101. What is l*j(y) + 5*g(y)?\nAnswer: -3*y**3 - y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -497710 - -697715. Let m be (6\/3 - y) + 3. Round m to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/75)\/(16\/40).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221415 and 580?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*m = -64, -3*v + 3*m - m + 38 = 0. What is the remainder when 44 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120346156 by 8596154.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m. Let w(u) be the first derivative of -5*u**3\/3 - 23. Calculate w(r(n)).\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1963\/2 - -982. What is the nearest to -0.158 in i, 0.4, -2\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. What is the third derivative of 2*y**x - 7*y**2 + y**5 + 9*y**2 - 6*y**5 wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 9. Let d(l) = -l - 4. Let j be d(-12). What is the lowest common multiple of 4 and t(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226864 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Suppose h*d + 2*u - 70 = 4*u, -2*d + 19 = u. Suppose 5*w - d = l, l - 12 = -w + 6*l. What is the greatest common factor of 10 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298353446*d**5 + 14*d**2 - 75309*d - 13 wrt d.\nAnswer: -17901206760*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(4\/(-2)) + 456\/(-120)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6*i**2 - 8*i - 2. Suppose -26 = 3*y + 37. Let n = y + 14. Let v be d(n). Which is the third smallest value? (a) v (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 8:30 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5524*j + 44184. What is q(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -66, -91, -110?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78214 + -91744964\/1173. Find the common denominator of 1\/3 and j.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 2\/5 (c) -5 (d) 21.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 209 = -197. Put 3, -4, g, -1 in decreasing order.\nAnswer: 3, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 233690 - 1173576\/5. Let x = y - -1025. Let j = -3.6 - -4. What is the second biggest value in 1\/4, j, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/300424 and -3\/194392.\nAnswer: 3304664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwwwwwwwwwwwzwwwwww. Give prob of picking 2 w and 1 z.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4\/4 - 8*g**3\/3 - g**2 + 7*g + 15. Is 15 a factor of h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/25 + 1528\/20. Suppose 118 = f - m. What is the remainder when f is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74626, 149271, 223916?\nAnswer: 298561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*j + 12, -6*s - 8 = -8*s - 2*j. Solve 4*k + 28 = -5*c, -s*c - 9*k + 7*k = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -704*o**3 - 669*o**2 + 140703*o + 8?\nAnswer: -4224*o - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 2585074?\nAnswer: -2585073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(2) + sqrt(6)\/sqrt(3) + -1)*-2) - (2*(sqrt(128) + 0)*-2*-3)**2.\nAnswer: -18433 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888381 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvhvhphhhhhhhhphp. Give prob of picking 2 h.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000601937668 to 5 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138 (base 14) to base 11.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -66. Suppose w + 3*j - j = d, -27 = -4*w - 5*j. Let u be -3 + (1 + 152)\/w. Calculate the highest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25949\/12 - 2172. What is the common denominator of (-14)\/((-16856)\/(-300))*7\/2 and w?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = -2*h + 3*h, n - 2*h = -2. Let x be (6 + -7 - (-5 - n))*1. Differentiate -27 - 271*k**2 + 284*k**x + 0 wrt k.\nAnswer: 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -112. Suppose -2*s - g = -2*z, 5*s = -3*z - 41 + 153. Calculate the remainder when z is divided by (-18)\/(-12) + (-41)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugg when three letters picked without replacement from gugggggg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*i - 594 = 0, 4*t + 10*i - 837 = 5*i. Let c = -210 + t. Let j(u) = 13*u**2 - 3*u + 3. Let y(n) = 6*n**2 - n + 1. What is c*y(g) + 3*j(g)?\nAnswer: -3*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-88)\/20)\/(4\/(-5))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 5, f: 2, q: 3, c: 1}. What is prob of sequence wwc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176, -180, -186, -194, -204, -216?\n\"Answer: -l**2 - l - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 139*m**3 - 279*m**2 + 201267?\nAnswer: 417*m**2 - 558*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:35 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.26 and -412456752.\nAnswer: -412456751.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 - 303 = -d, n - d - 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -9. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32081748.9 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 55, 1923, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**6*n*n*n**(2\/21))**43\/((n**(2\/5))**(-4\/37)\/((((n\/n**0)\/n)\/n)\/n)**(-1)) assuming n is positive.\nAnswer: n**(-310262\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1506 = -5*n, 8*n - 6*n = 3*q + 606. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/104 and -49\/41820?\nAnswer: 1087320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024303 rounded to five dps?\nAnswer: -0.00243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/(-30))\/(2\/42) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by (54\/4)\/(-1)*(-3 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -1568 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01414853654 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*m**2*o**3 + 2*m**2*o - 88*m*o**6 + 5*o**2 - 479*o wrt o.\nAnswer: -216*m**2 - 10560*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*n**2 + 115*n + 40.\nAnswer: -5*(n - 8)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2.3, 4, 0, -71, 0.13?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -519 times -2.1\nAnswer: 1089.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*-6*16\/(-228)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 537 + -543. Let p be (-11 + 1)*((-288)\/(-30))\/s. Let o(q) = -q**3 + 16*q**2 + 8. Determine o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, s: 2, n: 3, f: 5}. Give prob of picking 2 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -101011.2.\nAnswer: -50505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1645322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 6, 1\/3 in descending order.\nAnswer: 6, 1.7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171108 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/69, 5, -0.1 in increasing order.\nAnswer: -0.1, -2\/69, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248930*l**2 - 149089*l wrt l?\nAnswer: -497860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 divided by 37594?\nAnswer: 137\/18797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-15))\/(-3 + -1 - 198\/(-50))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tndtdtdyngd. Give prob of picking 2 n, 1 d, and 1 y.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7517.646 litres to millilitres.\nAnswer: 7517646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, 1\/5.\nAnswer: -5, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1028, 2057, 3086, 4115, 5144, 6173?\nAnswer: 7202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + p = -2*k, 0 = k - 2*p + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + 2*r**2 - 2*r + 2. Let h(g) be the first derivative of 4*g**4 + 11*g**3\/3 - 11*g**2\/2 + 11*g - 7. What is -11*f(u) + 2*h(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -15 + 14 + 4\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 124*l**3 - 518*l**2 + 656*l - 264.\nAnswer: 2*(l - 2)*(l - 1)**2*(l + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 4*q + 3 + q**3 - 5*q**2 - 3*q. Let d be u(5). Suppose 6*l - l = -4*n + 15, -4*l = -n - 12. Do n and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6164, -12329, -18478, -24605, -30704?\n\"Answer: x**3 + 2*x**2 - 6178*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1469 + -672. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2 + 70*m + 44. Calculate i(14).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 946.4 + -946.7. What is the biggest value in u, -8\/13, 1\/4, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3678 and (-4)\/(48\/(-98))*(-286)\/(-182).\nAnswer: 3678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 2:50 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002293 rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + j**2 + 4*j. Let u be m(3). Let o(i) = i + 6. Let k be o(u). Is 29 - (-2)\/(2 - k) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45748542 - 4?\nAnswer: -45748546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28700 is divided by 276?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)\/q)\/(q*q*q**(2\/13)*q*q))\/(q**(-2\/9)\/q**(4\/5)) assuming q is positive.\nAnswer: q**(-2651\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -2 (b) -1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*m + 1 = 3*l - 252*m, 2*l + 4*m = -26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -74 (b) -0.3 (c) -7\/6 (d) -2\/19 (e) -3 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + h)*(-h**4 - 2 + 2 + (3*h + h - 3*h)*(-h**2 + 2*h**3 + h**2) + 4*h**4 - 2*h**4 + 0*h**4 + (2*h**3 - 53*h**3 - 4*h**3)*(0 + 0 + h)).\nAnswer: -52*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((0 - -4) + 2 - 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 6*n + n**2 - 3*n)*(-3*n**3 + 2*n**3 + 0*n**3 + (-3 + 4 + 0)*(-n**2 - n**3 + n**2) + n - n - n**3 - 2*n**3 + 2*n**3 - 3*n**3).\nAnswer: -6*n**5 - 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 + 3*t. Let x(g) = -g - 164. What is a(x(p))?\nAnswer: -10*p**2 - 3283*p - 269452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/96*18\/15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10233 - 10160. What is the remainder when 166 is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-21)\/a)**(-7\/6)\/(a**(-33)\/a**(18\/7)) assuming a is positive.\nAnswer: a**(1286\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8217)\/83)\/(1\/(-12))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(5 + -1 - 2). Suppose -2*q - 2 = -j*q + 2*o, 0 = -2*q - 4*o - 10. Suppose -3*t = q*z - 15, -4*z - 3*t = -5*t - 32. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*z + 1 = -1293, -5*z = -5*n + 1615. Factor -18*d - 4*d**2 + 90*d + n + 8*d**2.\nAnswer: 4*(d + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 27, 3, -5, -4, -3 in decreasing order.\nAnswer: 27, 11, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Let w(x) = -x**3. Let t(g) = 5*g**3 + 5*g**2 - 3*g + 3. Let i(s) = t(s) + 6*w(s). List the prime factors of i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 3*w + 7. Determine i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/146761 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.0427973\nAnswer: -0.01711892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y + 4*y + 4*y - 2. Let p(w) = w + 3. What is the smallest common multiple of p(-2) and k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72278 at least 72278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 7*t + 1. Calculate k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6175*t - 8084*t - 23915*t + 3518*t.\nAnswer: -34656*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*(-6)\/(-54). Let q be 14\/(-105) - 26\/(-45). Sort 7, d, q in increasing order.\nAnswer: d, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawgggffggfofggdfwf. Give prob of picking 1 f, 1 a, and 1 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1129 - -104180133.\nAnswer: 104181262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450*z - 16374 = -54074 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3833 = -5*n + 8682. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 19*a**2 + 29*a + 27. Let u(g) = -16*g**2 - 28*g - 29. Let t(k) = -7*u(k) - 6*y(k). Give t(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41, -62, -81, -98, -113, -126?\n\"Answer: p**2 - 24*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9577718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -48056*j - 192259. Give s(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23, 83, 181, 317, 491, 703?\n\"Answer: 19*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -1\/15 (c) -3 (d) 252.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 + 3*f**2 + (-1 + 1 - 2*f)*(2 - 12*f - 3 + 14*f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*y - 108 - 32 = 0, -3*y = 0. Let u(o) = -o**2 - o. Let r be u(0). Which is the nearest to r? (a) 0 (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (3 - 6 - 1) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, -21, -55, -89?\n\"Answer: -34*n + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*r + 46. Is ((-332)\/16)\/((-2)\/r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1692)\/594 + (-32)\/(-12). What is the third smallest value in w, 19\/3, -0.1?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 1299351 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*u + 1. Suppose -32*r + 31*r = u. Is 9 a factor of r\/(-11) + -1 + 97\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 80. Give o(-12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 - (88 - 71) - -33?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4))**(-3\/22))**(-1\/24)*(c\/(c\/((c*c*c**1*c*c)\/c)))**(-1\/8)\/(c**0)**13 assuming c is positive.\nAnswer: c**(-353\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:57 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-1\/33)\/(((n\/(((n*n**(-1))\/n)\/n))\/n)\/n)**(-25) assuming n is positive.\nAnswer: n**(823\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q**2 - 23*q + 2. Let z(h) = -5*h**2 - 8*h + 1. Determine -4*f(s) + 11*z(s).\nAnswer: s**2 + 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 - 2*f**3 + 4*f**2 + 8*f = 0. Calculate f.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2599 + -1336. Is 10*o + (-4)\/(-12)*9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671922133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -228669 + 72716845\/318. What is the common denominator of -115\/36 and h?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Let y(b) = -19*b - 4. Let g(w) = 9*w + 2. Let x(u) = -9*g(u) - 4*y(u). Let l(z) = -2*m(z) + x(z). Let d(t) = -32*t. Calculate l(d(s)).\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - -29. Let b = -133 + w. Are b and -0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -58, -100, -146, -196, -250, -308?\n\"Answer: -2*x**2 - 32*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 - (-138)\/24. Suppose 0 = -f + r + 335, 758 + 933 = v*f + 3*r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3038 + -1918. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*n - 215. Let q be 33\/(-88) + 411\/8. Suppose n*f = q*f + 26. Calculate the greatest common factor of f and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1611845, 1611734, 1611549, 1611290?\nAnswer: 1610957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -259026 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/120 - 3*q**5\/20 + 5*q**4\/12 + 3*q**3\/2 - 3*q**2. Is c(8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*3 - sqrt(66))*-5 + sqrt(66) + sqrt(66))\/sqrt(6).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - 121?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -71299000 to the nearest one million.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*h**4 - 10*h**3 - 7755*h**2 + 5678850*h + 1?\nAnswer: 1572*h**2 - 60*h - 15510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 440376 (base 10) in base 15?\nAnswer: 8a736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15306 (base 8) to base 13\nAnswer: -3173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + 7. Suppose -9*j - h = -75. Solve y + 3*y + 20 = -2*r, -2*y - j = -3*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 2, g: 1, i: 5, o: 3, u: 1}. Give prob of picking 1 g and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 35*(-66)\/275*(75\/10)\/3\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 - 4*x**2 + 25*x**2.\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5145*q**3 - q**2. Let s be v(-1). Suppose 6*x - 432 = 3*x. Let k = x - s. What is k rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-18)\/(-54))*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39786700 rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 797813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2057462 and 323818.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3959236, 3959238, 3959242, 3959248, 3959256, 3959266, 3959278?\nAnswer: 3959292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdemgdedkemekd. Give prob of sequence mgde.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(26))\/sqrt(2))**2*1.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 9 - 4*s - 13.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -25658 and -25657 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*w + 17. Let i(d) = 4*d + 1. Let m be i(-2). Let a = w - m. What is the least common multiple of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42656 divided by -1333?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13*7\/(-182)*4\/382. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404 = 4*s - 6*s. List the prime factors of s.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.3 + -22.4. What is the third smallest value in 3\/5, -3\/5, 3, t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235637*z - 1 - 236365*z + 471994*z.\nAnswer: -8*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -567*y**2 - 2*y. Let a(v) = -585067*v. What is a(c(z))?\nAnswer: 331732989*z**2 + 1170134*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102733530.\nAnswer: 2, 3, 5, 197, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 54*o**2 - 139*o + 112. Determine z(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w + 16*w**2 + 13*w**2 + 720 - 742 wrt w?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, 5, 24, 51, 86, 129?\n\"Answer: 4*w**2 - w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21284274 to the power of 1\/2, to the nearest integer?\nAnswer: 4613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.07 rounded to 0 dps?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaakaaaaaaaakak. Give prob of sequence aka.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -17 - 1\/3*s**3 + s - 4\/7*s**2 - 1\/14*s**4. Suppose q(u) = 0. What is u?\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50388 and 7824.\nAnswer: 32852976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (74 - 2) + (-11 - -8). Suppose -a + 13 = 7*v. Is v greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589392531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m + m)*(16 + 10 - 8) + (-2 - 1 + 1)*(4*m + 3*m - 5*m) - 4*m + 0*m + 3*m as k + j*m and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 17*j - 28*j. Let g(s) = 14*s + 2. Determine g(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5)\/n)\/(n\/(n*n**7)*n))\/(n**(-1\/2))**(-2\/113) assuming n is positive.\nAnswer: n**(3046\/565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/((b*b**(-1\/9)*b)\/b)))\/b)**(-14))**(-2\/35) assuming b is positive.\nAnswer: b**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:43 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 21. Let k be c(-6). Let m be (-31)\/(-6) + k\/(-36)*2. Solve -6 - 5 = h - 3*u, -m*h = -5*u + 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:42 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 12, 4*m = -3*d + d - 6. Let o = 22.3 - 21.2. What is the closest to o in 2\/9, 3\/5, m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.07 - 1.37. What is the nearest to z in 0, -2\/21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 b, and 1 s when three letters picked without replacement from {t: 1, b: 1, a: 1, s: 2, p: 2, h: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -108787 + k**3 + k + 108789 + k + 0*k as v*k**3 + y*k**2 + w*k + s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.2 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - 19*q = 2*s + 22*q, 2*s + 117*q - 232 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400042 divided by -14?\nAnswer: -100003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/24 + 5*l**3\/2 - 8*l**2. Let w be q(-11). Let d be (39\/2)\/(w\/156). Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 - 2*n - 1. Let u = 443 + -636. Let q = u - -192. Give v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4608 divided by 3\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i**4 - 186*i - 2 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 39*u - 31. Calculate q(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3*d + 4*d)*(7*d - 3*d + 0*d + (0*d + 0*d + d)*(0 - 1 + 4)).\nAnswer: 7*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-230)\/161)\/(-10))\/((-15921)\/(-2562)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n - 8. Let k be (2\/(-6))\/((-2)\/24). Let v be m(k). Solve -v = 5*j - 5*p, 0 = -j - 3*j + 5*p - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, 3021, 9, 14, -5 in increasing order.\nAnswer: -19, -5, -4, 9, 14, 3021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -10. Find the second derivative of -3*x**j + 8*x**3 + 9*x**2 - 2*x - 9*x**2 wrt x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u**2 + 18*u - 35. Let c be a(5). Let y be (-3 - -4)*(-7 + 1). Let f = y - c. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*m - 2*m**3 + 13*m)*(-3305 + 69*m + 3305) to o*m**2 + w*m**3 + l*m**4 + v*m + i and give l.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 8) to base 14\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.64 - 23292?\nAnswer: -23259.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*y = -16, -282 = -2*v - 42*y + 318 - 402 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0426 - 0.043028. What is b rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*w - 3 = 5*o, o = 3*w - 3. Suppose -5*b + 3*b = 0. Solve -2*h - 10 = b, -3*m - 5*h - 25 - 3 = o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127*c**5 + 61*c**5 - 113*c**5 + 3*c**4 - 2*c**5 + 0*c**4 + 0*c**4 + (-2*c**2 + c**2 + 3*c**2)*(2*c**3 + c**3 - 4*c**3).\nAnswer: 71*c**5 + 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 3627, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 4*d + (-3 + 5 - 4)*(2*d + 4 - 4))*(-1 + 7 - 2)*(-2*d - 2*d + 5*d).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -328891, -657828, -986809, -1315834?\n\"Answer: -22*g**2 - 328871*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101011 - -111?\nAnswer: -101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0098 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010100011010110110 - 100?\nAnswer: -1000010100011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -16*n**2 - 3*n - 3. Let a(g) = 29*g**2 + 5*g + 5. Let j(x) = -3*a(x) - 5*q(x). Let w(s) = 68*s**2. What is w(j(z))?\nAnswer: 3332*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 - 5*w**2 - 11*w + 3. Let o(y) = y**3 - y**2 + y. Let x(h) = 4*o(h) + u(h). Is x(-9) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.533 (b) -2\/3 (c) 3 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 91, 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l - 199155 = -91*l. Suppose -3*s - 2*b = 1752, -3*s - s = 2*b + 2336. Let j = s + l. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5565*c**2 - 9*c + 14. Let f be m(2). Suppose -f = -4*u + k, 3*k - 24617 = -4*u - 2377. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 - 15*s - 14. Let r be x(-6). Let p be 112\/r + 2\/10. Solve 3*n + j - p - 4 = 0, 0 = 5*j - 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 91*t**4\/8 - 37*t**3\/6 - 76*t**2. What is the tens digit of h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 4*y**2 + 3*y + 1. Let o be d(-2). Suppose 3*j - 7 + 1 = 0. Put o, j, 5 in descending order.\nAnswer: 5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 0.1, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 119. Let f be -200 + (-108)\/(-90)*(-15)\/(-9). Let n = l + f. What is n rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/294)\/((-6)\/(-4)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 123*c + 0 - 25\/6*c**3 + c**6 + 0*c**4 + 0*c**5 + 0*c**2. Find the second derivative of f(k) wrt k.\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfpsfffsppffpffpft. Give prob of sequence pfs.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtt when three letters picked without replacement from qttututq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -283 - 569. Let n = l + 439. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 156 = -3*i + 40, 2*i = 4*b - 76. Suppose -3*w + 4*w - 50 = 0. Let l = i + w. Solve -z - 5*m = -6*z + l, 10 = -z - 3*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 214*b*g**2 + 5*b*g - 2*b - 3225*g**2 wrt b.\nAnswer: 214*g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127, -1007, -3419, -8137, -15935, -27587?\nAnswer: -43867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-2))\/(3\/3). Let z(r) be the second derivative of 3*r**5\/20 + r**4\/12 - r**3\/6 + r**2\/2 + 3*r. Give z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 54277615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/4212 + 7019\/4212. Which is the nearest to 13? (a) -4 (b) -0.06 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (-8 + 7 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11964888 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 18. Let h(y) = y**3 - 5*y**2 + 6*y - 4. Let j be h(t). Let r = j + -13. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 26810*n**2 - 125*n + 670250.\nAnswer: 5*(n - 5362)*(n - 5)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 - 136 = 3*x. Are 25\/6 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a - 2*a. Suppose 46 = -3*o + a*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55595 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/4)\/((-21)\/(-84)))\/(4\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -59 in descending order.\nAnswer: 2, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 264. Give z(0).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13116 - -13594. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*f - 41 - 39 = -92*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 2 = 0. Let t = a - 2. Let q = -3418 - -3421. Sort 4, t, q in descending order.\nAnswer: 4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*n - 195 = 243*n + 219*n. Let a(t) be the second derivative of 0*t**2 + 0 + 30*t - 9\/10*t**n - 1\/3*t**4 + 0*t**3. Factor a(l).\nAnswer: -2*l**2*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -18. Is 1\/r - 79\/(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170089433053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 38.35. Let q = d + -0.75. Which is bigger: q or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iygn when four letters picked without replacement from {y: 3, n: 2, g: 7, x: 2, q: 1, i: 5}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 3, -34, -109, -234, -421, -682?\n\"Answer: -2*v**3 - v**2 + 6*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 39.6871 times -8\nAnswer: -317.4968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from eeeeueuuuu?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (14 - 0\/(-10))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/((-36)\/(-40)))\/1. Suppose -6*b + 1548 + 642 = 0. Suppose 5*k - 85 - b = 0. What is the highest common divisor of k and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 - 3.76. What is the closest to 0.1 in o, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/2)\/(-1))\/(138261\/32532)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -12397*x + 16. Let f be t(-2). Suppose -5*r + 2*q = -3*r + f, 4*r = -2*q - 49590. What is r rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3 - j**2 + 1943*j - 189356?\nAnswer: -3*j**2 - 2*j + 1943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -730, -5897, -20006, -47551, -93026, -160925, -255742?\n\"Answer: -749*f**3 + 23*f**2 + 7*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11033 and 26609.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1) + (-56)\/7 + 34. Let h be 272\/28 - (-2)\/7. What is the highest common factor of h and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let y be (0 + i - 0)*3. Let n be ((-239)\/y + 3)*15. Round n to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53556431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060767 to 6 decimal places.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/(-4)*(-30)\/54 and -59\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -0.34, 131 in decreasing order.\nAnswer: 131, -0.34, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35952363 less than -13?\nAnswer: -12.64047637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 127488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168 (base 15) to base 4.\nAnswer: 11003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-396)\/96)\/(-33))\/(6\/(-8))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002959141 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12968 - 12968 + 3*t - 3*t**2)*(-25 + 5*t**3 + 25).\nAnswer: -15*t**5 + 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.17956563*1\nAnswer: 0.17956563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566116344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2023, -38, 2\/5, 0.0347?\nAnswer: 2023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 - 229*x**2 - 1399*x + 416. Calculate k(82).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let p(a) = -829*a**2 - 441*a - 21. Give r(p(o)).\nAnswer: -829*o**2 - 441*o - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5481)\/42)\/29)\/((-44)\/(-88))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + -1?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10937255 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d. Let w(r) = -269*r. Determine w(x(u)).\nAnswer: 1883*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*h**2 + 91*h**2 + 82*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 387 and 383 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6*l - 17465004 = 7*l, -n = -3*l - 3493012. What is n rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = 2*z, 3*z + 0*k = 5*k - 1. Suppose 2*p + z = -3. Is (-268)\/p + 1\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3502*n**2 + 1313252*n - 750.\nAnswer: -2*(n - 375)*(1751*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.20851 (b) 1\/6 (c) 1\/4 (d) -4 (e) -4\/7 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + s - 27*s**2 + 22 - 63 - 69*s**2 + 21 to the form f*s + p*s**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2. Let r(k) = -6*k**2. Let g(j) = 5*o(j) + 4*r(j). Let b(v) be the second derivative of -5*v**3\/3 - v**2 + 714*v - 1. Give g(b(s)).\nAnswer: 100*s**2 + 40*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 24*g**2 + 387*g + 60. Give d(35).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**27)\/h*h*h\/h**(-1\/42)*h**(-21\/2)\/(h*h**(12\/7)*h))**(-1\/8) assuming h is positive.\nAnswer: h**(401\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 566 in -2\/5, -0.04, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000111000 (base 2) to base 10.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16183 + 16213. What is the least common multiple of 2592 and y?\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44660 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 749*o**3 + 315*o**3 + 237*o**3 + 173*o**3.\nAnswer: 1474*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 182*m**2 + 50*m - 160. Calculate the remainder when s(3) is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32247 + -32249. Sort -136, 3, f in decreasing order.\nAnswer: 3, f, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*t - 16 = 0, -4*c - 6 = -4*t - 26 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2 (c) 8\/88305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 17 = 4321. List the prime factors of c.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32062, 64310, 96558, 128806?\nAnswer: 161054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 101 + 4*w**4 + 102 - 206 - 2*w**2 to the form l + b*w**2 + r*w**4 + q*w**3 + t*w and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 11*a. Let x(z) = z**3 - 4*z**2 + 3*z + 2. Let j be x(3). Suppose a = j*y + 4*y - 12. Solve 0 = 2*v, -5*v - 3 = y*l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/16 and -127\/1548.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 45 = -5*w - 196, -2*r = 4*w + 104. Let b = r - -63. Suppose -17*d + 20 = -b*d. Let o(f) = -2*f - 4. Calculate o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4386, 8470, 12554, 16638, 20722, 24806?\n\"Answer: 4084*h + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 + -4.32. What is the third biggest value in o, 2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -11\/7 (c) -0.22 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -260 - -401. Calculate the remainder when i is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -20. Let w be (-18)\/m + -2 - (-45)\/(-84). Which is the third smallest value? (a) 0.4 (b) w (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 33.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10803.\nAnswer: 3, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7567, 15134, 22701, 30268?\nAnswer: 37835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 54\/41, -60 in descending order.\nAnswer: 54\/41, -0.01, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 3*v + 840. Let w = 7 - v. Let q = w + -75. Which is the nearest to -1\/4? (a) 1\/5 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.24. Let b = t - 0.04. Which is smaller: -2\/17 or b?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14996 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 597 + -263. Calculate the remainder when n is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 693, 5126, 16973, 39918, 77645, 133838, 212181, 316358?\n\"Answer: 614*r**3 + 23*r**2 + 66*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54)\/176 + (-56)\/(-308). Put 2\/3, -0.25, b in ascending order.\nAnswer: -0.25, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*f - 98*f - 33 = 0. Suppose 2818 = 5*u + f*p, -1378 = -4*u - p + 882. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((8 + -2 + 22 - 9) + 3 - -10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 83 + 86 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + u**2 - u + 2. Let x be r(0). Let y = x + 0. Let w = 15 + -13. What is the greatest common divisor of y and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -13. Suppose -25 = -5*d + 15. What is the third derivative of x**5 - 2*x**5 - d*x**2 - 3*x**u wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1251*x + 1234*x + 171700. Is 101 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 37*f - 2. Give o(5).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 9. Let s be v(-6). Suppose 2*m - s*m + 283 = 0. Suppose -m = -4*d - 47. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (2 - -16 - 25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a5782 - 29?\nAnswer: -2a5800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(459)*-2 + sqrt(459)))\/(sqrt(6)\/sqrt(8) - sqrt(9)\/sqrt(3)*-1)*-4.\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39576167*s**4 + 303019287*s wrt s?\nAnswer: -474914004*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 3) + 2 + -1. What is the remainder when -2 + (2 - (-60 - -2)) is divided by 30\/((m\/(-1))\/(-1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 43*w + 83. Calculate r(38).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325 + -323. Let s(h) = 44*h + 2. Let l(u) = -u - 1. Let j(n) = 4*l(n) + s(n). What is the units digit of j(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 + -2535?\nAnswer: -2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.026 - -0.374. Let z(p) = 2*p + 3. Let g be z(0). Let t be g\/(-3)*3\/(-2). Sort 5, b, t in decreasing order.\nAnswer: 5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 4 = -11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (-1 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 8 = -5*d - 42, 6*i = -4*d - 64 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 take away -44917617?\nAnswer: 44917769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20121001010 - -1?\nAnswer: 20121001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*n - 88, 2*n - 35 = 5*d + 3. Suppose n = 2*m - 2. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 7\/20*i**5 + 0*i**2 + 7\/6*i**3 + 0 + 0*i**4 + i. Find the second derivative of k(n) wrt n.\nAnswer: 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -39680885?\nAnswer: 39680890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/15*-18*315\/4158?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 113*u + 7 - 17*u - 5 - 2*u**2 + 198.\nAnswer: -2*(u - 50)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/748*((-12)\/36 + -7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.1. Suppose 35*b + 78 = -27. What is the closest to t in 0.05, b, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 3*f**2 + f - 1. Let y(t) = -t**3 + t**2 + t - 1. Let w = -112 + 111. What is w*y(u) + g(u)?\nAnswer: -u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Suppose -v*r = -6 - 14. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/60*1\/70*5\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55600001?\nAnswer: 55600001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.464 + -0.064. Let x = j - 21.4. What is the third biggest value in 0.2, 0.5, -0.4, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10*(5 + -3). Let y = 187 - 130. Let q = -61 + y. What is the second biggest value in q, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469906867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 - -7.04. Let w = k + -7.2. Let f = -1\/9 + -2\/9. What is the closest to f in -3, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72716667.\nAnswer: 3, 17, 19, 101, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1372191, 2744548, 4116905, 5489262, 6861619, 8233976?\n\"Answer: 1372357*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2078373 by -188943.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c + 0*c + 0*c)*(-1 - 1 + 1) + 0*c + 3*c - c + 2 + c - 2 - c - 4*c + c)*(7*c**2 + 7*c**2 - 9*c**2 - 3).\nAnswer: -10*c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 16. Let n be u(-11). Let w(p) = -3*p - 3. Let q be w(-6). Solve -3*s - q = -n*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 9. Let c be d(7). Suppose c*j = -j - 3. What is the third smallest value in 0.1, -2\/5, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 17 + -30 + (114 - 10) - (4 - -10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 plus 28827684469?\nAnswer: 28827684469.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/18 and -75\/3334?\nAnswer: 30006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 74. Suppose 2*o - 3*t - u = 0, -5*t - 13 = -3*o + 10. Suppose -o*j + 83 = 29. What is the greatest common divisor of 36 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39426182?\nAnswer: 2, 179, 110129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/17)\/((x**(-8)\/x)\/x))\/((x*x**(1\/10))\/(x\/x**23)) assuming x is positive.\nAnswer: x**(-2267\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 13*y**2 - 94*y - 753. Calculate d(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (-5 + -9 + -1))*2. Calculate the highest common divisor of i and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z. Suppose 104 = 4*b + 2*j, 3*j + 7 + 5 = z. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207186, -207184, -207182, -207180, -207178, -207176?\n\"Answer: 2*c - 207188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*a + 100 = 0, -b - 2*a - 3*a + 50 = 0. Is b equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1676054 + -2.\nAnswer: -1.8323946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 4 (c) -6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1484 (b) 1\/5 (c) 5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -19) + 4 - -23 - -31\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 256 - 256.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-93)\/(-22)*(-31569)\/(-9). Let t = 14824 - v. What is the common denominator of t and (-57)\/(-48) - 10\/20?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 15*t**2 + 51*t**2 - 11*t**2 + 0*t**2 - 14*t**2 - 22*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z - 3 + 2\/3*z**3 + 0*z**2. What is the first derivative of p(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51366267 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 6*i + 13. Let l be 8 + 3*(-3)\/9. Let q be y(l). Find the third derivative of -4*m**6 - 8*m**2 + 10*m**2 + 3*m**q + 9*m**2 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 1440*v**3 - 6*v**2 + 1444*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*d + 5. Let o be (0 + -3)*(-2 - d). Is o at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 1. Let b be v(3). Let h be (16\/(-40))\/(b\/(-40)). Let q(n) = -4*n + 11 - 11 + h*n. Let y(m) = 3*m. Determine q(y(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r)**(-36)\/(r**(1\/12)\/((r*r\/((r\/(r\/(r*r**(8\/11))))\/r*r))\/r)) assuming r is positive.\nAnswer: r**(-28619\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 84\/252 + 85\/15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 18*f**2 + 2*f - 27. What is n(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 234610, 234756, 234902?\n\"Answer: 146*d + 234464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 80*n + 1289. Calculate p(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -26*u. Suppose -7 = -n - 4*h, -2*n - 11 = -5*n - 2*h. Let x(v) = n*v + 3*v - 7*v. Give g(x(r)).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47319 = -21*t + 37857. Let a = t + -231224\/57. What is the common denominator of -19\/6 and a?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 167680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b6 - a?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 + 6*r**2)*(121*r - 121*r - 147*r**2).\nAnswer: -882*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130234 - -130619. Let b(o) = -34*o + 1. Let l be b(-1). What is the highest common factor of l and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*l - l + 54, -3*l = -c - 31. Let s(h) = -2*h**3 - 5*h**2 - 4*h. Calculate the remainder when s(-3) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(1\/4))**(-4\/15)*(a**2)**(-38)\/(a\/a**(2\/21)*a*a**(-1)*a) assuming a is positive.\nAnswer: a**(-1636\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -190, -196, -202?\n\"Answer: -6*x - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322022 is divided by 160951.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 - 8*l**4 + 7*l**4 + 2*l**4 - 5*l**4 + 4*l**4 + (-l**2 + 4*l**2 - 5*l**2)*(2*l - 2*l**2 - 2*l) + 3*l**4 - 6*l**4 + 2*l**4.\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - u - 3*u + (3 - 5 + 1)*(1 - 1 + u) - 2*u + 3*u - 3*u + (3 + 2 - 3)*(3*u - 2*u + 3*u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcvvcvv. What is prob of picking 3 c and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -0.4. Let r = 3750.9 - 3751.1. What is the fourth biggest value in r, g, 0.9, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*2 + sqrt(133) - sqrt(133))*6 + sqrt(133))\/((sqrt(84)\/sqrt(4))\/sqrt(3)).\nAnswer: 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 296*n**2 + 76*n - 22478. Give y(296).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1017 - 814. What is the greatest common factor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -679*f + 682*f - 4*n - 25, -5*n = 5*f + 40 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8835666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 23*q**4\/4 - 5*q**3 - 24. What is the third derivative of y(r) wrt r?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 74752 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose -n*b + 16 = -3*a, -4*a + 5*b - 12 = 9. Let u be (-8 - a)*(2 + -3). Solve 5 = 3*y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -12461 + 3686. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.7 + -5. Suppose 2*x = -3*g - 2*g + 20, 0 = -x - g + 7. Let t(o) = -o**3 + 4*o**2 + 6*o - 5. Let r be t(x). What is the nearest to r in 1\/7, b, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289 + 288. Let z(a) be the third derivative of a**4\/3 + 5*a**3\/6 + a**2. Let j(r) = -r - 1. Give p*z(w) - 6*j(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*v + 20 = 0, -2*k + 4*v - 47 = -7*k. Let n be ((-94)\/(-4))\/((-2)\/(-4)). Is 2*n*k\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*t**2 + 3*t**2 + 0*t**2 + (2 - 2 + 2)*(-2*t**2 + t**2 + 3*t**2) + 0*t + t**2 + 0*t + (-4*t + 3*t + 2*t)*(3 + 0 + 0)*(2*t - t + 7*t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10925296?\nAnswer: 2, 173, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*d + 12 = -36, -g - 3*g - 25 = -12*d - 33 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -88.08?\nAnswer: 85.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 11:31 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 71\/(((-4)\/8)\/1). Let n = -145 - h. Let g = 1 + 3. Which is the second biggest value? (a) n (b) 1\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7555674.16 rounded to the nearest one thousand?\nAnswer: -7556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 - 972*d**4 - 81603*d**3 - 466530*d**2 - 917748*d - 606744.\nAnswer: -3*(d + 2)**3*(d + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + 413*v + 20880. Determine k(-89).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/1)*0\/7050.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.161 and -0.07.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10019 divided by 233?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47*(-3745)\/5029*1*3?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*y**3 - 17*y - 1 + 0 + 30*y**3 - 29*y**3 in the form z*y**2 + a*y + l*y**3 + h and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 15.6.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 498*h + 219*h - 1170*h + 225*h + 223*h.\nAnswer: -5*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = z - 21, -12233*z + 18 = -6*c - 12231*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a**2 + 7*a**2 - 34*a**2 - 23*a**2 in the form g + w*a**2 + z*a and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -62*m**4\/5 - 6557*m**3\/5 - 11368*m**2\/5 - 3313*m\/5 + 312 = 0?\nAnswer: -104, -1, 15\/62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**4\/o*o*o)\/o)**(2\/41))**(-7)*o**(-3\/4)*o**(-8)*o*o**(-8)\/o*o**(-2)\/o assuming o is positive.\nAnswer: o**(-3463\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 251773650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -5*z**4\/12 - 145*z**3\/6 - 28*z**2. Let g be u(-15). Let a = 56 + -170\/3. What is the smallest value in a, g, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 46 + 11*h**5 + 0*h + 25\/6*h**6 + 0*h**2 + 5\/3*h**3 + 35\/4*h**4. Factor w(p).\nAnswer: 5*p**2*(p + 1)**2*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/20 and -45\/67.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4503 minus 0.3?\nAnswer: -4503.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(48) + sqrt(3)))*2 - (sqrt(9)*-1)\/sqrt(3))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 7563 - 2398. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1252\/17 + ((-10380)\/(-85))\/346.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-92 - -9)\/(2 + -3) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.99 - 0.01. What is the second smallest value in 2, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*10*60\/(-40).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m + 83*m - 5 = 0. Suppose -840 = -4*b - 3*c, 0*b = -4*b - m*c + 848. Calculate the remainder when b is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0 + 21 + 4 + 95014*x - 95013*x. Determine a(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52880908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y. Let u(n) = -11*n**2. Calculate f(u(a)).\nAnswer: -154*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Suppose b + 12 - 16 = 0. Let k(y) = 3*y**2 - 5*y - 5. Let i(m) = 2*m**2 - 4*m - 4. Let h(v) = b*k(v) - 5*i(v). Calculate a(h(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + 9da?\nAnswer: a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*(-72)\/5040 - -214*(-2)\/(-840).\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 3*t**2 - t + 4. Let d be w(-3). Let r be (18\/45)\/((-2)\/d). Suppose y + 9 = 2*y - 4*x, -12 = -4*y + r*x. Which is smaller: y or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 23*k**2 - 16*k + 71. Let c be o(7). Let i = 1669 - c. Does 54 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/15? (a) 1\/5 (b) 0.4 (c) -11 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 85*i**2. Suppose -4*n = -18*w + 16*w + 4, 0 = -3*w - 3*n + 6. Let v(o) = -3*o + 5. Let a(m) = -m + 2. Let q(j) = w*v(j) - 5*a(j). Determine g(q(z)).\nAnswer: 85*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d - -3?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 1, -11, -0.4, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 (base 8) in base 16?\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*5726\nAnswer: 1145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = -4. Let o(g) = -g**2 - 3*g. Let w be o(s). Solve -5*m = 4*l + 21, 3*l - m + w = -11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -20, -44, -88, -158, -260?\n\"Answer: -o**3 - o**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -1374, -5523, -14130, -28809, -51174, -82839?\nAnswer: -125418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Solve 8 = 5*v + 5*x + 3, -1 = -5*v - g*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1100 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 20*q + 71*q**3 - 11*q.\nAnswer: 71*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 575 + -276. Let o = z - 298.762. Let y = 0.2379385 - o. Round y to 6 decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -354 + 354.4. Put 2, 10, c in decreasing order.\nAnswer: 10, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -706.525 + 689. Let s = y + 17. Let j = -0.025 - s. Which is the second biggest value? (a) j (b) 0 (c) 5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 h when three letters picked without replacement from {d: 1, e: 2, v: 10, j: 1, h: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - -110300?\nAnswer: 110130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4477 or -4877?\nAnswer: -4877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1908)\/(-54))\/(-53))\/(6*(-6)\/(-81)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1369155 + -954984. Let q = 414218.00145 - i. Let j = -47 + q. Round j to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 equal to -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 1.5. Let z = -3099 + 3098. What is the nearest to z in -0.3, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332266.\nAnswer: 2, 13, 51241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3656 and 45215123?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 635834 and 147?\nAnswer: 635687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4256994)\/420 + (-3)\/10. Let u = v + 385079\/38. What is the common denominator of u and (-43)\/8 + 1 + 1?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -10.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313609923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 28.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10143 (base 7) to base 8\nAnswer: 4661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340190690 to the nearest integer?\nAnswer: 18444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 14*m**2 - 20*m - 179. Determine h(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14*(-2)\/8894)\/2. Let u = 39899\/2903891 - l. Let r = u + -20333\/5877. What is the common denominator of r and 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5 + r - 1 + 8 - 2 - 6. Let l be z(9). Solve -l*d = -7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4 = -3*z, 6*s - 44 = -9*z - 6*z + 20*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*w = -68*w + 28. Let f be (2*(w + -6))\/((-4)\/(-6)). Solve f = 2*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60452\/42)\/17*3. What is the highest common divisor of n and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i - 10. Determine o(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 - 0)) + -10 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823 smaller than 3823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102*a - 174*a - 18*a)*(0 - 3 + 0) - 1 + 4*a + 1 to m*a + h and give m.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71224380*o**2 - o - 259590868?\nAnswer: -142448760*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/376 and -63\/235.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*i**2*z + 9*i**2 - 281*i - 709*z + 55 wrt i?\nAnswer: 6*i*z + 18*i - 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -351, -352, -353, -354?\n\"Answer: -x - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*1\/18 - (114 + (-33924)\/297).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15027\/11 - -1366. What is the second smallest value in v, 47, 2, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 + 2*w + 5. Let g(p) be the first derivative of -5*p**3 + 2*p**2 + 10*p + 8. Let a(q) = 4*g(q) - 9*h(q). List the prime factors of a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-69)\/(-9) - 4\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69999610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttzz when four letters picked without replacement from zzzzzzzzttzzzzzzzzzz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -7. Let z = h + 1. What is the units digit of (z\/3)\/((-1)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2050.73 or 1\/64?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*p + 63*p - 123*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -842 + 1672 - 838 - b. Let r be -8 + (-2)\/4*-4. Determine m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a*d**2*x**3 - 2*a*d**2*x**2 + 113*a*d**2*x - 2*a*d*x + 163*d**2*x**3 - 2*d**2 wrt x.\nAnswer: -42*a*d**2 + 978*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 887.016 + -882. Let r = -4.9 - 0.1. Let w = r + l. What is w rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 31. Let d = 5 + a. Let q(u) = u + 2. Let c(m) = 2*m - 1. Let h(w) = 5*w - 5. Let j(k) = -6*c(k) + 2*h(k). Determine d*q(n) - 3*j(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1704 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {f: 2, b: 3, v: 6, x: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3751.\nAnswer: 1125.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 53*j + 79. What are the prime factors of p(14)?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4 + (-686)\/552 and 484*8\/384 + (105\/(-14))\/3?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 60 = 2*w. Suppose 0 = -2*y + 3*c - 6, 4*y = -2*c + 6*c - 4. Let u = w + y. Calculate the highest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 32*r**2 + 3636*r - 1699. What is f(-114)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10ea329 (base 15) in base 3?\nAnswer: -211211110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001000 (base 2) to base 14.\nAnswer: 38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 756*m - 163. Give p(-1).\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 0. Suppose -101 = -y*n - 2*r, 2*n - 5*r - 55 = 6. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioo when three letters picked without replacement from ysiyyossiysoioyiyy?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13684234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 82*z - 97. Let y(w) = -149*w + 195. Determine -7*x(b) - 4*y(b).\nAnswer: 22*b - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -142. Suppose 8*f = -0*f - x. Let d(s) = -s**3 - s**2. Let n(w) = -2*w + w + 0 + 7*w**2 + 1 + 8*w**3. Determine f*d(c) - 2*n(c).\nAnswer: -2*c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i - 2, -4*i + 20 = 4*v. Suppose -p = -v*p. Solve p = -d - 4 + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (21 + -13 + 0 + 4 - 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259493515 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.6103 rounded to 2 decimal places?\nAnswer: -39.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9946*r + 7395*r + 9289*r + 3*r**3.\nAnswer: 3*r**3 + 26630*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 5?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -22) + (-9 - -23 - 10) + -1 + -38.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 = o, -4*m + 16 = -0*m. Let s be ((-4)\/6)\/(o\/(-9)). Suppose -2*x + 8 = -5*y, 0*x = -2*y - 4*x + 16. Is s greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 2, -4*m + 8 = -x - 0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (-12 + 2)*(-3)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -21. Let l = 7 + w. Solve 3*y - 1 = -3*a - l, 0 = 2*a - 5*y - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-20)*(-12)\/168*25\/(-5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10226.\nAnswer: 2, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 15, 5, 1 in ascending order.\nAnswer: 1, 5, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2, 0.1, -25416?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 85*t = -35*t + 1720 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 - 221*k - 1016. Calculate t(41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzk when three letters picked without replacement from {n: 6, f: 1, k: 2, w: 3, z: 2, x: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 819 = -5*i. Let c = -87 - i. Solve -q - c = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 293011841 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 653.84214 days?\nAnswer: 93.40602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/101833214 and -97\/203666428.\nAnswer: 203666428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in 0.4, 8\/3, 0?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 379 in 2.06, -53\/5, 1\/4?\nAnswer: 2.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1422 - 1419. Let k = 1 - 1. Solve -2*c = 4*g - 4, j*c + k - 6 = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 3:38 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 512.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30962721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (21 - 11) - (2 - -6 - 3 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -20*i + 644999880. Suppose 5*t - 11*y - 107499992 = -9*y, 3*t - i = 3*y. Round t to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8*u = 7*u - 7, -5*z = -3*u - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31964*a**2*b**2*x**3 - 2*a**2*b**2 + a*b**2*x**2 + 85*a*b**2*x - 4*b**2 + 2 wrt x.\nAnswer: 191784*a**2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 46*i**2 + 1. Let j be n(-1). Suppose -b - j = -3*r, -r + 49 = -b - 0*r. Put 3, b, 1 in increasing order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 0, -4*w = 5*y + 1 - 32. Suppose 3*x - w - 2 = 0. Suppose 58 = 4*l - x*d, 0 = -2*l - d + 4*d + 27. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 477*d**2 + 6*d. Let c(s) = -s - 15. Determine n(c(r)).\nAnswer: 477*r**2 + 14304*r + 107235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - -6.88. Let p = 2 - l. Let o = -0.1 - -0.3. Which is the closest to o? (a) 4 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 141175, 141184, 141207, 141250, 141319?\n\"Answer: z**3 + z**2 - z + 141174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*b - 130*b + 106*b - 1517 - 1789 for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1434, 4\/5, 1 in decreasing order.\nAnswer: 1434, 1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from aghgbgghgbggbggyabg.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 470 - 2448 - 3138 + 1053 - 602 to i*s + z and give z.\nAnswer: -4665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-620 + 441 - 772)*(-2*v - 3*v - 4*v).\nAnswer: 8559*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3906\nAnswer: 5\/3906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 8\/21, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -23.1. Let c = 1.41 + q. Let b = c + -0.15. What is b rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3907 - 3834. What is the remainder when 135 is divided by l?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/60 - v**3\/3 - 2*v**2. Let q be y(2). Suppose -11 = -q*h + 3. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2. Let f(x) = -66*x**2 + 9*x - 10. Let n(q) = -q**2 + q - 1. Let k(w) = -f(w) + 10*n(w). Give k(p(u)).\nAnswer: 224*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*-7*(-1)\/(-2). What is the units digit of (-2)\/((-2)\/d) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62051 - -13?\nAnswer: -62035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.75 + 1.15. Which is the third biggest value? (a) -5\/2 (b) m (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226279 is divided by 13184?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/2)\/(-32*(-23)\/1472)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*p - 11 + 11)*(-2*p**2 + 3*p**2 + 0*p**2)*(-1649 + 3632 - 1725) as r + q*p**2 + w*p**3 + k*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 7*d**2 + 6*d + 2. Let r be k(6). Let g(c) = -3*c**2 + 2*c**2 - r + 2. Let s(n) = -59 + 2*n + 0*n + 59 - 4*n. What is s(g(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 255, -7, -5, -4\/3, 244?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5980*t. Let a(z) = -z**2. Calculate a(n(s)).\nAnswer: -35760400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827*o + 827*o + 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*o - 11, -2*p - 10 + 4 = 2*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 91, -495, -1315, -2369, -3657, -5179?\nAnswer: -6935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*h - 84*h + 9*h**2 + (-3 + 2 + 3)*(-3 + 3 - h**2) + h**2 - 4*h**2 + 2*h**2 + 1 - h**2 - 1 to the form c + q*h**2 + w*h and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 - 4*o + 5. Let q be z(5). What is the common denominator of 2 - 93\/q - 1 and -43\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55053 and 11637?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4879*a**2 - 3. Let s(w) = -8*w. Determine t(s(h)).\nAnswer: 312256*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145607 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/14)\/(1\/14). Suppose 0 = f*h - 7*h - 108. Let d = h + 54. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 205 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*u = -8, 2048*r = 2052*r + 5*u - 19 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3833.928 minutes to weeks.\nAnswer: 0.38035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/5)\/a))**11 assuming a is positive.\nAnswer: a**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 627, 628, 629, 630, 631, 632?\n\"Answer: l + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*v**3 + v**4 + 40*v**3 + 33*v**3 + 10*v**2 wrt v?\nAnswer: 24*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 11 + b**2 - 6*b**4 + 8*b**4 + b**2 in the form s*b**2 + r + f*b**3 + m*b**4 + g*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2. Let c(l) = l**2 - 9*l - 14. Let h be c(11). Let w be (6\/(-8))\/((-6)\/h). Let t(j) = j. Determine w*o(y) + 4*t(y).\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwbb when four letters picked without replacement from {b: 2, c: 1, w: 4, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -93541, -8.\nAnswer: -93541, -8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 5*a + 4. Suppose 0 = -5*c + 4*u - 3*u + 30, -3*c + 18 = 2*u. Let f be i(c). Do f and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 17, 24, 33, 44, 57?\n\"Answer: d**2 + 2*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - q**2 + 1. Let f be w(-1). Suppose -p + 0*z - 4*z - 3 = 0, 0 = f*p - z - 43. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 15*d**2 - 18*d - 47. What is w(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -6*k**3\/5 + 666*k**2\/5 - 1776*k\/5 - 18144\/5 = 0.\nAnswer: -4, 7, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7235, -28974, -65203, -115916, -181107, -260770, -354899, -463488?\n\"Answer: s**3 - 7251*s**2 + 7*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 + 305. Calculate the greatest common factor of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11216565 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.16 + -0.16. Let x = w + -7.9. Let q = 180 + -1622\/9. Put x, 2, q in ascending order.\nAnswer: q, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/37752960 and -73\/1887648.\nAnswer: 37752960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 900.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 43. Suppose -2*t + 3*l - 1 = -16, 4*t - 41 = -5*l. Let p be g(t). Do 1\/4 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -640?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 34514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95.4 - 95.2. Let h = -2 + 2.2. Let u = -0.8 - h. Which is the biggest value? (a) d (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o - o + 5*o)*(-3 - 2*o + 3)*(-6 + 4 + 4)*(-3*o + 3*o + 6*o) to n*o + f*o**2 + j + s*o**3 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 99?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 + 4*j + 5. Let f = -1 + -1. Let r be 4*(f - 10\/(-4)). Let o be (-1 + 2)*-2 - r. Give g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.5 (b) 0.4 (c) -8.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - 20. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649440849 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2 - 24858620*k - 30897549415220 = 0. What is k?\nAnswer: -2485862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1922 + 3839\/2. Let i = -2.9 + -1.1. Is i not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 2*j**2)*(1 + 2 - 2)*(0*j**3 - j**3 - 3*j**3).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 387 + -12261?\nAnswer: -11763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w + 16. Suppose -5 = 5*b + 5*j + 10, 47 = -4*b + 3*j. Let a(s) = 18*s + 24. Let y(x) = b*g(x) + 5*a(x). List the prime factors of y(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 11*q - 40)*(9 + 5*q - 9) + (-q + 0*q - q)*(-2*q + 5*q - 4*q) + (2*q + 2 - 2)*(-1 + 1 - 2*q).\nAnswer: 53*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, j: 8}. Give prob of sequence jjj.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217706 is divided by 1338?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 1. Let v be (6\/(-5))\/(4\/(-10)). Suppose v = -3*n + 4*n. What are the prime factors of s(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 940*j - 53. Let c(z) = 105*z - 6. Give -19*c(m) + 2*d(m).\nAnswer: -115*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/(j*j*j**(-9))*j**(-2\/13)\/(j\/(j\/j**(-1\/10))*j*j))\/((j**(-3\/7)\/((j\/j**(6\/5))\/j*j))\/(j**(1\/2))**(2\/85)) assuming j is positive.\nAnswer: j**(31517\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*l - 32 = -155*l. Suppose -m - 115 = -2*j + j, 348 = 3*j - 4*m. What is the highest common factor of j and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -138?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 2 - 8*f + 3 + 6*f - 6 to r*f + n*f**2 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 1908, 3.\nAnswer: -22, 2, 3, 1908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {w: 1, o: 1, y: 8, s: 2, z: 7}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + 18. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - (-11 + 5)) + -20 + -12 + 29\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:37 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*h + 19. Let g be ((-2)\/3)\/(2\/h). Let t(s) = -s**3 + 4*s**2 - 3*s. Let w be t(2). Solve w + 10 = g*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15923200 divided by 3980800\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331233102332 - 1031?\nAnswer: 331233101301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -70. Suppose 0 = a + 2 - l, 112 = 5*i - a. Let x(o) = -3*o**3 - 4*o**2 + o - 1. What is the remainder when x(-3) is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6296 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46\/253 + (-656)\/(-22). Let y = 7 - c. Let q = y - -21. Put -64, 2, q in descending order.\nAnswer: 2, q, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72148446.89999988 - 72148449. Let p = -2.1 - m. Round p to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 + y**3\/3 + 3*y**2\/2 - 3*y - 2. Let n = 6 - 3. Suppose n*x + x = 8. Give b(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23992, -47924, -71856, -95788, -119720?\n\"Answer: -23932*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q\/(q\/q**(-20)))\/q)\/((q\/(q\/(q*q**(-9\/4))))\/q)*(q**(-3\/7))**(-6\/5))**(-24) assuming q is positive.\nAnswer: q**(13638\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c**2 - 2*c + c**2 + 3*c**2. Let j(v) be the second derivative of v**4\/12 - 37850*v. What is u(j(i))?\nAnswer: 4*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177229828075\/88 + -2013937937. Let j = 37381 - d. Find the common denominator of j and -81\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, -4, -17.\nAnswer: -17, -5, -4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5618, 5683, 5832, 6101, 6526, 7143?\n\"Answer: 6*o**3 + 6*o**2 + 5*o + 5601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*s = 2050 + 1026 + 35 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-22 + 4 + 6 + 9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q. Let j(h) be the second derivative of 0 + 1\/2*h**3 - 5*h + 0*h**2. Calculate j(i(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 180\/40 - -1*(-4 + 0). Let l(z) be the first derivative of i*z**2 + 0*z**3 + 0*z - 6 - 1\/4*z**4. Factor l(m).\nAnswer: -m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 369?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:02 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 110433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 + -17)*(-4)\/3. Solve -45 = -d*n - n - 4*b, 10 = n + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:31 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*x + 3, -3*g - x + 11 = 3*x. Suppose -17 = -o + 3*w, 0 = o + 6*w - 2*w + 18. Calculate the remainder when o is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3392, -13552, -30474, -54152, -84580, -121752, -165662, -216304?\n\"Answer: u**3 - 3387*u**2 - 6*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -69*z**2 + 4*z + 755. Let a(b) = -10*b**2. Determine d(a(n)).\nAnswer: -6900*n**4 - 40*n**2 + 755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/240 - n**4\/48 - n**3\/24 - 3*n**2\/2 + 6*n. Let t(z) be the first derivative of c(z). Let t(i) = 0. What is i?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193169, 193152, 193135, 193118, 193101, 193084?\nAnswer: 193067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -1689, -4405, -8363, -13563, -20005, -27689?\nAnswer: -36615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 18*i + 83, 9015*i - 9016*i + 2 = u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 + 7*c. Let s(b) = -b**2 - b. Let t(n) = -n - 8. Let q be t(-4). Let d = 16 + q. Suppose 3*j + j = -d. Calculate j*m(f) - 21*s(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-8)*-12 - (-3871)\/2. Let x = o - 873. What are the prime factors of x?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**4 - 3925*t**3 + 320560*t**2 - 1235300*t + 1219680 = 0.\nAnswer: 2, 88, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7817850, -31271388, -70360618, -125085540, -195446154, -281442460, -383074458?\n\"Answer: -7817846*m**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 16*z**2 + 2*z + 2*z - 13*z**2 + 6297*z**3 + 4. Let d be q(-3). What is d rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y**2 + 131*y + 311. Calculate w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*s**4*w + 295189*s**4 + 2*s**3 - 1553*s**2*w - 29628*s*w wrt s.\nAnswer: 672*s*w + 7084536*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 10*u + 16. Let s be y(8). Solve 5*o + j + 0*j = s, -o = -2*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s + 5. Let k be p(1). Let f(r) = k + 0*r**2 - r**2 - 7*r - 3 + 2*r**2. Let x(y) = -y**2 + 5*y + 2. Let b be x(4). Determine f(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 165 + -178 + (-1 + 2 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.715 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49.9 - 42.66. Let w = c - 7.24. Suppose -2*s + 18 = -4*s. Put s, -3\/4, w in descending order.\nAnswer: w, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-32)*(52\/14 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**5 - 144*t**3 + 3013*t**2 + 1118720*t wrt t?\nAnswer: -20*t**3 - 864*t + 6026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/7391520 and 49\/522720.\nAnswer: 894373920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195608244.\nAnswer: 2, 3, 13, 199, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 136*l + 234 = 0. What is the nearest to 1 in l, -13, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.6 - -5. Suppose 30*n = 35*n - 1725. Let t = -346 + n. What is the nearest to t in -1, 0.3, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (9\/(-6))\/(6\/(-56))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21896 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**3\/4 + 43137*a**2\/2 - 6170823*a + 439202166 = 0.\nAnswer: -29042, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 2299 - 3*x + 0*x + 2778. Let p(u) = -2*u. Calculate c(p(t)).\nAnswer: 2*t + 479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268695 is divided by 3594.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -397*w. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 + 1. Let w be h(-3). Let i be (w\/2)\/(-1)*-10. Let q = -47069 + 47089. Solve 0 = i*f - q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eed when three letters picked without replacement from edeeeehhee.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + -20 + 4 + -2 and 67\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*q + 143*q - 63 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 + 12. Let l(w) = w**2 - 114*w + 25. Determine l(v(m)).\nAnswer: 9*m**4 + 270*m**2 - 1199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 300\/7*g**3 - 20*g**5 - 16\/7*g**2 - 16\/7*g - 128\/7*g**4 + 0 = 0.\nAnswer: -2, -1\/5, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 794.1 * -0.4\nAnswer: -317.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21*-3)\/(351\/546).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 3) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 31*f**3 + 708*f**2 - 72*f - 33. Give c(-23).\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**3 - 17*v**2 - 3*v + 1. Let t(x) = -x**3 + x. Let s(p) = -q(p) - 6*t(p). Is s(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3760 and 706175000?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -89*h**2 - 17888*h + 210. Calculate s(-201).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.27 (b) 1 (c) 2 (d) -3 (e) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -17*x + 36. Let u be y(2). Factor -3*j**2 + 6*j - 4*j + u*j**2.\nAnswer: -j*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -2\/373 (c) -2\/7 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 0.056, 2, -6, -3?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1893549 is divided by 270506?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*w = 28, -2*w = w + 15. What is the hundreds digit of 151 - (q - -1 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:50 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136745 is divided by 131600.\nAnswer: 5145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 22 = 3*l - 6*h, -3*l + 4*h + 23 = 0. Solve l = -4*m + b, -b = -6*m + m - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 196?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)\/((((m*m\/((m\/(m\/(m**8*m)))\/m))\/m)\/m)\/m)*(m**(2\/5)*m)**35)\/((m**1)**(-4\/7)\/((m*m*m**(-3\/8))\/m*m**(-4))) assuming m is positive.\nAnswer: m**(771\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8 and 143\/26354568.\nAnswer: 26354568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0) + 6\/3. Suppose -j*l + 6 = 3. Which is smaller: l or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2589 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 549d85?\nAnswer: -549d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 - 2*o**2 + 3*o. Let c be (-5 + 11)\/3 - 61. Let j = 61 + c. Let x(l) = -4*l**3 - l**2 + l. What is j*r(f) - 5*x(f)?\nAnswer: 2*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*m**3*q**3 - 17*m**3*q + 40*m**2*q**3 - 2*m*q**3 wrt m.\nAnswer: -66*q**3 - 102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 r, and 2 v when four letters picked without replacement from {w: 2, r: 3, v: 2, n: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*s + 133*s - 135859 + 12099. What are the prime factors of s?\nAnswer: 2, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2068)\/726 - (-4)\/22. Let l = 0.28 + -0.17. Let z = -0.11 + l. Sort z, t, 2\/7 in increasing order.\nAnswer: t, z, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 727551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16690786 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Suppose 3*g + 3*v = -3, 9*g - 5*g + 7 = -3*v. Which is the smallest value? (a) -0.2 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/176*3\/(-180). Is r > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -6 - 1 - 2. Suppose -5 + 20 = 2*t - a, w = 3*t - a - 20. Suppose -2*i - 2*b = -76, -i - 8 + 58 = t*b. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 83 + 2 = 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675954 and 612.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 190 = -58. Let q = l - -49. Suppose -295 - 40 = -q*m. What are the prime factors of m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*t + 108, 54 = 6*j - 7*j - 2*t. What is the third biggest value in j, -0.3, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 3*c - 2. Let m(s) = 115*s**2 - 22*s - 11. Let u(w) = -m(w) + 6*x(w). Find the second derivative of u(y) wrt y.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(773*w - 16*w + 216*w).\nAnswer: 973*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*q - 162, -6*q - 123 = -3*r - 4*q. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34964 or 244745\/7?\nAnswer: 244745\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, 958, 2062, 3164, 4264, 5362?\nAnswer: 6458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 + 175621*j**2\/3 + 7708488179*j\/3 - 192821983225\/3.\nAnswer: (j - 25)*(j + 87823)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10307.964 months in millennia?\nAnswer: 0.858997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 400950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*h - 17, -2*s + 5*h + 7 = -6*s. Suppose -3*y = 0, -y + s*y = -c + 323. What are the prime factors of c?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**8\/168 - 71*q**5\/60 - 167*q**4\/12 + 191*q**2. What is the second derivative of c(n) wrt n?\nAnswer: 40*n**3 - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1012660 and 13684?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -105220107 rounded to the nearest ten thousand?\nAnswer: -105220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 16*a**2 - 47*a + 585. Determine k(9).\nAnswer: -2187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 5 + (-6 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.4, 464, 150, -23\/4?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 62\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3640\/(-1850))\/((-2)\/(-5)) - -5. Let z = -4475\/888 + i. What is the common denominator of z and 52\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 5:48 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-84) + (-1)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268393036.\nAnswer: 2, 67098259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5\/9 - 43*p**4\/3 - 27019*p**3\/9 + 106621*p**2\/9 + 8173814*p - 73643800\/9 = 0.\nAnswer: -79, 1, 50, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = l. Let f(d) = -3*d**l - 3*d**2 + 0*d**2 + 8*d**2. Let j(v) = 5*v. Give j(f(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111110001 (base 2) to base 7.\nAnswer: 5633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603 (base 9) to base 2.\nAnswer: 111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-602)\/18 + 33)*90\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 24828*s + 6 - 2466*s.\nAnswer: 22362*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4 (c) 2\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23 (b) 2 (c) 4 (d) -9 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1644 divided by -3\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/3*(-6)\/(-4). Suppose 3 = x*f - f. Suppose f = -2*t + 4*m - 3, -m = -2*t + 6. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -1, 3, -4 in decreasing order.\nAnswer: 7, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 4 + 4)*(-2 + 1 - 1) + a + 2*a + 0*a - 7777 + 7777 - 133*a + 0 - 3*a + 0 as u*a + v and give u.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1013\/3 + -338. Let m = -85\/12 - -22\/3. Let s = -5 - -5.1. Which is the smallest value? (a) -3 (b) s (c) t (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/73, 18\/23, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -10*b**3\/3 - b**2 + 2*b - 1. Let i = -164988 - -164986. Calculate k(i).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312 or 156097?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46220225 is divided by 23110108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -280, -76 in descending order.\nAnswer: 0, -2, -76, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341455 is divided by 137?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 divided by 3?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -12 + 4 - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215784 = -816*i + 810*i. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -636 + 924. Is k a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -29. Let v(n) be the third derivative of -13*n**5\/20 + 3*n**4\/8 + 3*n**3\/2 + 3283*n**2. Let w(z) = 10*z**2 - 2*z - 2. Give f*w(o) - 2*v(o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*k - 61, 3*l + k + 4 - 40 = 0. Suppose 0 = -16*b + 310 + 42. What is the greatest common factor of b and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6030 by -134.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(4) - sqrt(12)\/sqrt(3)*-4) - (0 + (sqrt(3)*-1)**2*-1).\nAnswer: sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1525572 divided by -8202.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12576, 12579, 12604, 12663, 12768, 12931, 13164, 13479?\nAnswer: 13888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 74 + 106. Does 11 divide (-1 + 2)\/(1\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**3 - 7*q**2 - 18*q + 119. Let j(t) = 4*t**3 - 2*t**2 - 6*t + 40. Let f(w) = 3*d(w) - 8*j(w). What are the prime factors of f(4)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9290 + 8706 = 1636*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*s + 240*s = 1990. Does 53 divide (-16)\/3*6*s\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 135489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 46 - 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 5. Let s(k) = -2*k + 13. Let l(n) = 3. Let j(g) = 3*l(g) - s(g). Determine -4*b(m) - 5*j(m).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-15)*s*s\/s**(2\/33) assuming s is positive.\nAnswer: s**(592\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189499500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(52) + (sqrt(13) - sqrt(468)).\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81.74826 millilitres?\nAnswer: 0.08174826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 176 - 121 = 0. Solve -4*b = d - 7, k*d + 88*b - 5 = 83*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/690770 and -21\/40?\nAnswer: 2763080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -1651\nAnswer: -1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2. Let w be u(-2). Suppose -w*r + 8 = -r. Let h = r + 4. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.77 - 0.27. Which is the third smallest value? (a) 2 (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -559, -2155, -5371, -10747, -18823, -30139, -45235?\n\"Answer: -90*i**3 + 114*i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 12*i**2 - i + 5. Give b(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4\/3, -5, -0.3, -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*q + 2, -l - q = -62. Let k = l - 32. Let p = k + -20. Calculate the greatest common divisor of p and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -46154, 36 in increasing order.\nAnswer: -46154, 29, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11056809?\nAnswer: 3, 67, 55009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62681210 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195 - -203. Solve h - 6 = -3*p + 5, p = 4*h + k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Suppose -x + k*j = -3, -4*x - 4*j = j - 51. Calculate the least common multiple of x and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -5, -0.4, -0.112, 2, 66\/7, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, c: 4, h: 2}. Give prob of sequence ch.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:41 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.623 + -0.343. Round a to 0 decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114505\/13672 - 1\/6836. Let i = 613 + -2493\/4. What is the common denominator of y and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**3 + 0 - 1\/20*h**5 + 4*h**2 - 1\/8*h**4 - 11*h. Let b(g) be the first derivative of v(g). Let b(a) = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*s - 8 = 0, 4*q - 4*s + 2 = -14. Suppose -2*m = -2*i, q = m + 4*i - i - 12. Suppose -3*y + 5*y = 5*o + 1039, 0 = m*y + o - 1550. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/(-55) - (-14)\/5) + -2. Let p(l) = -3*l + 6. Let t be p(k). Let n = 28 + t. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/45*10\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}