diff --git "a/data/dm_maths/full_data_2/2296_11255.jsonl" "b/data/dm_maths/full_data_2/2296_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2296_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is -0.062 >= 929649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 918 = -149. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47591863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15725 from 0.4.\nAnswer: -15724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**4 - o**5 + 7*o**4 + (2*o**4 - 2*o**4 + o**4)*(-79*o + 32*o + 45*o - 1).\nAnswer: -3*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16517 + -0.1736. What is r rounded to 4 dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/1)\/(14 + (-153)\/9). Calculate the greatest common factor of u and 97.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(3) + 1 - sqrt(3)) + -2 - (sqrt(108) + 3)) + -2*(sqrt(243) + (sqrt(243) - -6*(sqrt(243) + -2)))**2.\nAnswer: -31398 + 3450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2411 * -1.\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 74, -2\/39, 125\/3, 14?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 1\/2*v**3 - 7\/12*v**4 + 0 + 0*v**2 - 17*v. What is the second derivative of f(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a + -24b?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)*248\/3. Let l = t - -4706\/57. Let z = 0 + 1\/6. Which is the closest to 0.1? (a) -2\/3 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + l**3 - 5*l)*(-4*l + 4241*l**2 - 4240*l**2 + 6*l - 1016).\nAnswer: l**5 + 2*l**4 - 1016*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(343)*-4)**2) + -4.\nAnswer: -10988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 26 = 2*v. Let l(h) = -h**3 - 6*h**2 + 6*h - 5. Let o be l(-7). Suppose o*m = m + v. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -234*k - 708. Calculate t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 + 43803*z - 350232 = 0.\nAnswer: 8, 14593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*o + 864 - 828 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -375.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:18 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Suppose 5*i = -2*l - 3, -w*i + 7 + 16 = -5*l. Solve 2*z = -2*k, -4*z - i = k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 - 5 = 0. Suppose m*l = 2*b + 10, -4*l + 0 = -b - 26. What is the nearest to -1 in l, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + b - 2*b - 7*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 - (-171)\/63. Suppose -6 = j - t. Which is the smallest value? (a) j (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from {n: 5, r: 5, s: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 32 - 58. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2479591085 to the nearest integer?\nAnswer: 49795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4596 - 716*x + 4596 - 889*x)*(x + 1 - 1).\nAnswer: -1605*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 132\/30*228\/(-456)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/13*q**3 - 2\/13*q**2 + 6\/13*q**5 + 0 + 0*q - 14\/13*q**4.\nAnswer: 2*q**2*(q - 1)**2*(3*q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 10*d + 5*d - 6. Give t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/1254)\/((-210)\/(-77)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - v + 7*v. Let x(z) = -z**2. Let k(j) = -j**2. Let p(y) = 7*k(y) - 6*x(y). What is p(n(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*a**2 + 1132169 - 1132169.\nAnswer: 160*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3458151801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 12:11 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + 11.81. Let o = -11.7 + z. What is the closest to 0.1 in o, -9, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 71. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 6*f + 15. Let w be r(-7). What are the prime factors of (-80)\/(-10)*42\/w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27872, -27885, -27914, -27959, -28020, -28097, -28190?\nAnswer: -28299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116545567.\nAnswer: 389, 299603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90686.\nAnswer: 2, 45343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = t, j - 5*j = -5*t + 25. Solve 5*d + 1 = 2*z - t, -8 = 4*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (-2 + sqrt(1331))*-1 + 0 + (sqrt(1331) - 2*sqrt(1331)))**2.\nAnswer: -44*sqrt(11) + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1449233 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3, -5*a - 9*v = -11*v - 182. Calculate the smallest common multiple of a and 315.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 118. What is the tens digit of -1 + 0 + (199 - (j - -10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/5 + 416*l**3\/5 + 7704*l**2\/5 + 46656*l\/5 + 93744\/5.\nAnswer: -(l - 434)*(l + 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5 - 23*m**4 - 68*m**3 + 3456*m**2 - 9216*m = 0.\nAnswer: -12, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-417)\/(-21) + 48\/(-56). Suppose y*h = 15*h - v + 1, 3 = 3*v. Suppose h*p + 2*p**4 + 0*p**2 + 8\/3*p**5 + 0 - 2\/3*p**3 = 0. Calculate p.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-5) - 1\/(-5). Suppose 390 = 3*h + 2*l, 0 = f*h + 2*l + l - 255. Let d = -4 + 16. Calculate the highest common factor of d and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*12\/4*7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*l + 202*l - 261 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21115399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p + 59 = -249 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/(2\/12). Does 21 divide ((-57)\/(-5))\/(q\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30833, 30850, 30867?\n\"Answer: 17*u + 30816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599355 divided by -39957.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8183\/2 + -4005. Let i = 85 - g. What is the smallest value in i, 0.3, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67472 and 143378?\nAnswer: 1147024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/30 + 7*o**4\/24 + 5*o**3\/6 + 2*o**2. Suppose b = 19 + 4. Let h = b - 27. Calculate y(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**3 - j**3 + 2*j**3)*(131*j**2 - 249*j**2 + 126*j**2)*(0 + 1 + 1).\nAnswer: -96*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:21 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(13) - sqrt(208)) + sqrt(13))*-4)**2 - ((sqrt(13) + -1)**2 + 3)) + (sqrt(65) - (sqrt(65) + -1*sqrt(65) - sqrt(65)))\/sqrt(5)*-1)*4.\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*u**2 - 15*u**2 + 2 + 26*u**2 + 12 in the form b*u**2 + n*u + m and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.8186g to nanograms.\nAnswer: 231818600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 12:28 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24786 + 48505 - 25685 + 4*r to g + k*r and give g.\nAnswer: -1966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 2*m + 1. Let i(u) = -101*u**3 + 85*u**2 - 6*u - 3. Let j(c) = i(c) + 3*p(c). Find the third derivative of j(w) wrt w.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52168070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 22 = -42. Solve -14 = 6*j - s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 84, 144, 224, 330?\n\"Answer: j**3 + j**2 + 36*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 16. Let f be 1\/(0 + (-1)\/(-2)). Sort k, -3, f in ascending order.\nAnswer: -3, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxccxxc. What is prob of sequence ccc?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 8. Let m be i(-16). What is the highest common factor of 20 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -340 + 666. Suppose -n + v = n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -186, -435, -746, -1113, -1530, -1991?\n\"Answer: m**3 - 40*m**2 - 68*m + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -4. Let d(c) = 2*c**2 + 39*c + 14. Let l be d(0). Solve -j - y = -l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-4))\/((-6)\/(-376)). Let z = -15 - b. Sort -2, -3\/5, z.\nAnswer: -2, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 4. Let j be g(0). Let u be (-14)\/(-4) - 2\/j. Suppose 0 = -u*x + 8*x + 3*r - 35491, 0 = 3*x + 3*r - 21291. Round x to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2160 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3608, 3614, 3624, 3638, 3656?\nAnswer: 3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + z + 3*z = -222, -4*z = 3*m - 246. Suppose -2*a + 0*a + 5*i + 22 = 0, -5*a + i = -m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 16. Let m be y(7). Let c(u) = 3*u - 31 + 32 - 2*u. Give c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i = -3*i - 1064. Put 12, 1, -3, i in descending order.\nAnswer: 12, 1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 + -68232?\nAnswer: -68142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 690 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - -2.05. Let a = -4710 + 4711.2. Let z = 0.198 - 1.198. What is the nearest to q in z, -1\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3641 + -5?\nAnswer: -3646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 2*d**6\/135 - 247*d**5\/9 + 126896*d**4\/9 + 84872*d**3\/3 - 110*d. Factor w(m).\nAnswer: 4*m*(m - 618)**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50, -6\/2593, -4?\nAnswer: -6\/2593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + 1a48?\nAnswer: 1a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1212*d*u - 276263*d - 8*u wrt u.\nAnswer: 1212*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 6*l - 1. Let d be o(-5). Suppose 0 = -d*u + 6*u - 74. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5085, -5087, -5089, -5091, -5093?\n\"Answer: -2*u - 5083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30, 49, 68, 87, 106, 125?\n\"Answer: 19*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(7\/4)\/(v\/v**(1\/9)))\/(v**(-1\/2))**(-41))**(-45) assuming v is positive.\nAnswer: v**(3535\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/3 and 125\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhqhqhhqh. Give prob of sequence hhh.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8916321.9159 - 8917249. Let w = -927 - i. Let z = w - 0.08. What is z rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000114102095 rounded to 6 dps?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*f**2 - 30*f**2 - 9*f**4 + 0*f**3 + 0*f**3 wrt f.\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -866 + 870. Which is the biggest value? (a) -3\/4 (b) 55 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 > 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -22*c**2 + 161*c + 2219. Determine w(-8).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h - 5795289. Let a(v) = 3*v. Calculate q(a(m)).\nAnswer: 21*m - 5795289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - 5. Suppose 11*o = o + 340. Let a(y) = -11 + 4*y - 17 + o. Let m = -3 + -4. Give m*s(f) - 6*a(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-20)\/x*x**0)\/(x\/(((x\/(x\/(x**(1\/5)\/x)))\/x*x)\/x))**(-9) assuming x is positive.\nAnswer: x**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x\/(x*x\/(x*x**(-3)\/x)))*x)\/x*x*x)**(-13)*((x*x\/(x*x**(-8)\/x*x))\/x)\/(x\/(x**(1\/27)\/x)*x))**(-3\/34) assuming x is positive.\nAnswer: x**(1336\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + 5. Let w(f) = -15 + 3*f + 4 + 8*f + 2*f. Calculate 9*p(m) + 4*w(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2*19)\/((-1392)\/5019 - (-36)\/126)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d - -1?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 - 0.21. What is the biggest value in q, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-105)\/(-315))\/((-6)\/(-13796478)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -15 + -5 + 2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*q. Let l = 8 - 3. Let g be 54\/l - 4\/(-20). Solve 2*b = c - g, -c - 4*c = -q*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 9) in base 11?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 2261. Let n = t - 1122. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14675*f + 72683. What is a(-5)?\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 30745.37 to the nearest ten.\nAnswer: 30750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139216254\/5 or -27843250?\nAnswer: -139216254\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011011001 - 10?\nAnswer: -111011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.019 + 80.019. Let w = g + -78. Which is the smallest value? (a) -2\/9 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**4*a))\/(a*a\/a**(-13)))\/((a\/((a\/(a**(-2\/15)\/a*a))\/a*a))\/(a**19*a)) assuming a is positive.\nAnswer: a**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1113, -1121, -1131, -1143, -1157, -1173, -1191?\n\"Answer: -h**2 - 5*h - 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g**(-8)*g)\/g)))\/g**(-3\/5))**(4\/17) assuming g is positive.\nAnswer: g**(-148\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162717377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86239.29 litres to millilitres.\nAnswer: 86239290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-70)\/(-16))*(-55)\/(-77).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(637)*2)**2 + -5*sqrt(637)*-2 - ((2*(-3 + (sqrt(13) - sqrt(208)))*6)**2 + -4).\nAnswer: -2522*sqrt(13) - 7947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 744183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 7 - 5. Let i be (1 - 74 - v)\/2. Let d = i + 88. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118*l - 22 + 869 = -1195*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/15 of a decade in months?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 1729 - 40495 = 0. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1475 - 111. List the prime factors of a.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose a*b - 15 = -2*b. Let m = -2 + b. Is m bigger than 2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 397*l**2*s**2 + 2*l*s**2 + 99*l - s**2 wrt l?\nAnswer: 794*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 - 105*r**2 + 490*r + 600 = 0. Calculate r.\nAnswer: -1, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/28 + 2\/(-8). Solve -r - r - 4 = f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13353?\nAnswer: 3, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394073?\nAnswer: 29, 117037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -2\/5 (c) -3\/2 (d) -1\/124 (e) -46 (f) -2 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10914 is divided by 156?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*11\/((-220)\/24). Suppose 4*w + i = -0. Is -2*(913\/(-2) - w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -56*g**2 - 2297*g + 7324. Give c(-44).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*a**2*c + 7*a**2 + 33*a*c wrt a.\nAnswer: -34*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g + 8, -s + 766 = -3*g. Suppose 3*i - 4*u = s, 2*u + 1266 = -0*i + 5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-15)*(-17)\/(102\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 - 90. Calculate the highest common divisor of o and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1494425052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -13*j**4\/4 + 6*j + 6. What is the first derivative of c(t) wrt t?\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13087\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 3*u)*(2*u - 3*u + 2*u) + (-1 + 1 - 1)*(0*u**2 + 7*u**2 - u**2).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(108)*1 + (sqrt(675))**2*-2.\nAnswer: -1346 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79211 - 11029 = -775*x + 153*x - 788*x for x.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/4*4182\/3485.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/30 - (-1892)\/15. Suppose 11*d + k - 3250 = 0. Calculate the remainder when d is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:21 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 22. Let s be q(6). Let r be 2700\/26 + (48\/s)\/6. Let x = -76 + r. Calculate the remainder when 53 is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2716 is divided by 142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from beeheeoeoyblboe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/24 - -1)*-184. Suppose -28*v + s = -5*v. Solve v*y - 6*y + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*a - 14 = 0, 4*w = -2*a - 3 + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**5\/20 - m**4\/12 + m**3\/6 + m**2\/2 + 3*m + 3. Let j(b) be the first derivative of u(b). Let j(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111638527 a multiple of 1859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799*j + 12*j**3 + 800*j - 41*j**3.\nAnswer: -29*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/10620 and 127\/12.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 less than 16518?\nAnswer: 15448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 + 3*n + 5. Let v be d(4). Let l = -70745 + 70744. Put 58, v, l, 0 in increasing order.\nAnswer: l, 0, v, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6212.4529 - -725608.\nAnswer: 719395.5471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = -2*z, n - 3 = z - n. Sort -3, z, 4 in increasing order.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.17 (b) -367 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2 - 5*r**2 + 7*r**2. Let q(a) = -a + 1. Let h(i) = -3*i + 4. Let g(o) = h(o) - 4*q(o). What is u(g(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606849 is divided by 40455.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16919, 67677, 152273, 270707, 422979, 609089?\n\"Answer: 16919*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - -44) + (327 - 300 - (1 + 38))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 9, v: 5}. Give prob of picking 1 v and 1 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + 203566803.\nAnswer: 203566803.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - -0.6. What is the nearest to -0.1 in c, 2\/5, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19\/5 - 6\/(-30). What is the greatest common factor of 36 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.8 + 22. Which is the second smallest value? (a) j (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/5 (c) -9\/92 (d) 1\/6 (e) -3\/7 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 f when four letters picked without replacement from {r: 3, f: 5, w: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 7 = -2*n, a + 3*n = 7*n - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-5 + 4)*-1). Let w be (-6 - -1)*4\/(-10). Suppose 0 = -2*n - d + 1179999, 0*d + 2*d + w = l. Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/129349 and 15\/729058.\nAnswer: 8019638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2, -6*t + 2*n + 24 = -t. Solve -t*v - 16 - 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + 4.4. Let m = 4 - 8. What is the third biggest value in h, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**3 - 3*q**2 + 6*q + 5. Let o(g) = -g**3 + g**2 - g - 1. Let u(a) = h(a) + 5*o(a). Factor u(p).\nAnswer: p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4103167, -4103168, -4103169, -4103170?\n\"Answer: -i - 4103166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1764*d**3 + 35616*d**2 + 6736*d + 320 = 0. What is d?\nAnswer: -20, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61358 divided by 5578.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 502*j**5 + 1162*j?\nAnswer: 10040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1610329260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -242470*l**3 - 10591*l**2 + 12*l.\nAnswer: -1454820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12013543 - 52?\nAnswer: -12013625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - 0.5. Let v = -0.3 - -0.1. Let p = 4.2 - -0.8. What is the closest to v in b, p, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*d + 262, 8 = 3*q - 5*q. Let i(r) = r**2 - 2*r + 1. Let n be i(7). Calculate the greatest common factor of d and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381372183 and 7274?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 16*u + 7 = m, -2*u - 10 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675 and 880335.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161878722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 0.04812774011466.\nAnswer: -0.24812774011466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooeo. What is prob of sequence eee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)*a)**(-7\/2)\/((a*a**(-2))\/(a*a*a*a**(-4)*a)))\/((a\/(a*a*a**1\/a*a)*a*a\/(a\/a**(-2\/17))*a)\/((a\/a**(-1))\/(a*a**(-2\/7)))) assuming a is positive.\nAnswer: a**(25\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*74\/((-37296)\/(-630)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417852*q + 417953*q + 1313 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13276c1 + -50?\nAnswer: 1327671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -762 + 763. Let o = -0.1 - -0.1. What is the nearest to -0.1 in -1, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129918046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4285, -8954, -14015, -19468, -25313?\nAnswer: -31550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8559868?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 95316*h**2 - 91526*h**2 + 2.\nAnswer: -186842*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1062 and 18246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*(-2)\/(-12)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Let m(u) be the first derivative of -u**3\/3 - 3*u - 2. Calculate m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14850720 and 11430.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*y + 16, -22 = -2*y - 420*q + 416*q for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2541930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2116491 = -o - 15816491. Round o to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -23*k**3 + 4*k**2 - 17*k - 20. Let a = -97 + 212. Calculate the remainder when a is divided by y(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = -30 + 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 21*d = -30. Suppose 23*s - 20*s = 9. Suppose 0 = -2*r + 8, -2*z = -s*z + r + 6. Calculate the greatest common factor of z and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1 + 7 + 4. Let x be p(8). Solve 2*t = x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 220544.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 1, u: 1, q: 1}. Give prob of picking 1 u and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsxxxzzzs. Give prob of sequence ss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + r - 384*r**2 + 2 + 387*r**2)*((-5 + 0 + 2)*(-4*r + 2*r + 0*r) - r + r + 2*r) in the form l + p*r**3 + d*r + m*r**2 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a second?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 254, 495, 728, 953?\n\"Answer: -4*l**2 + 253*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.3 (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**3 - 5*z - 4. Let t(k) = k**3 - k - 1. Let g(a) = h(a) - 3*t(a). What is g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -154 - (0 - (-3 + 2)). Let f = 211 + l. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327 times 16\nAnswer: -5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 36\/(-8))*36. Is 0.1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2961 and 1503558?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -327070 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**3\/2 + 19*r**2\/2 - 5*r. Let v be f(7). Let l(p) = -672*p + 1. Is l(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 287996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-2\/7)\/k)\/k)\/k**(-4))**34 assuming k is positive.\nAnswer: k**(646\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r**5 - 16306*r**4\/3 + 1186798*r**3\/3 + 81263906*r**2\/3 - 6584160*r - 7765800 = 0. What is r?\nAnswer: -42, -3\/7, 2\/3, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2613 - 2610. Let c(p) = p + 1. Suppose 3*n + 2*n = 3*u - 23, 3*n + 15 = 3*u. Let o(g) = -2*g. Let j(b) = m*c(b) + u*o(b). What is j(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*i + 2*b + 86, -5*i - 5*b = -95. Let y = 22 - i. Solve 5*l = 2*u - 1 - y, 0 = -u + 5*l + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -1908, -4349, -7802, -12279, -17792?\nAnswer: -24353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 13*h + 12 = 16*h, 4*h - 51 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2967 is divided by 165.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:18 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*(-87)\/58?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2234 - -8937\/4. Let o(j) be the second derivative of -5\/3*j**3 + b*j**5 - 8*j + 0 + 0*j**2 - 5\/12*j**4. What is g in o(g) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 7) + (5 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26 + 1\/4*p**2 - 105\/4*p.\nAnswer: (p - 104)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 374629477 and 1852.\nAnswer: 374631329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4320 + 4326. Let s(f) be the second derivative of 0 - 1\/77*f**7 - 9\/110*f**5 - 1\/15*f**h + 2*f + 7\/66*f**4 + 4\/11*f**2 + 4\/11*f**3. Solve s(m) = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 312 = -3*l, 5*c - 511 = 5*l + 9. Let q = 148 + l. What is the remainder when q is divided by (-6)\/(-27) + 266\/18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 320, 14 in increasing order.\nAnswer: -5, -1, 14, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 0\/(1*(-2 + 4)). Find the third derivative of -3*g + b*g - 22*g**3 - 20*g**3 - 7*g**2 wrt g.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 550 + 2410310?\nAnswer: 2411300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119869747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5379*0.5.\nAnswer: 2689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 45*h**5\/4 + 1947*h**4\/4 + 13911*h**3\/2 + 35265*h**2 + 37998*h - 16848 = 0?\nAnswer: -18, -78\/5, -8, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*x - 1053 = -111*x - 112*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 2 + (-6 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p**3 - 38*p**2 - 17*p + 13. Let r(a) = 5*a**3 + 13*a**2 + 6*a - 5. Let t(j) = 17*r(j) + 6*y(j). Calculate t(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixuiuihiiiiiiiihii. Give prob of sequence uxh.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -25*n**2 - n + 5. Calculate y(3).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -577*z - 111*z - 600*z - 135*z in the form c*z + q and give c.\nAnswer: -1423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 767, -757, -3131, -6355, -10429, -15353?\n\"Answer: -425*t**2 - 249*t + 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4044846 and 155571.\nAnswer: 4044846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11068 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3. Let x(s) = 8*s**3. Let f be 0\/(2*2\/2). Suppose 7*u - 3*u - y - 1 = f, 3*y = -15. Let o(l) = u*x(l) + 12*w(l). Factor o(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 23*x**2 + 19*x + 53. Let z be s(23). Calculate the highest common factor of z and 1190.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgssssssssss. Give prob of sequence gs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.661421mm in meters?\nAnswer: 0.002661421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11966179 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 26*v + 205. What is j(-13)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.3. Let a = 0.8 + 13.2. Let l = a + -10. What is the smallest value in -4, l, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from dlddrxljdjjlrjc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -x + 2*x + 7, 0 = 3*b - 5*x + 1. Let i = b + 1. Solve 5*g - 17 = i*q, -3*g - 4 + 13 = -3*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + m - 85 = 0, 0 = 3*w - 4*m - 59 - 15. Let r be w\/22 - 1 - 649440018\/(-99). What is r rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h**2 + h + 3. Suppose -10*x + 5*x = 0. Suppose 0*k + k + 4 = x. Is f(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -25. Suppose 0*n + r = 3*n + 5*u, 0 = 2*n + 4*u - 4. What is the remainder when 4 - 1*(-36 - -1) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8274 and 4086174?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 - 46. Suppose l = d - 3. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:48 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 239?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 - 937*n + 114.\nAnswer: -937*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 102712\/(-6660) - 1\/(18\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 39*x**2 - 108*x - 21. Determine r(36).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 40931*q - 40927*q - 156, 0 = 4*q + 3*x - 128 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkzzkkzzzzkkzk. Give prob of picking 1 k and 2 z.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from ymmhayahhhmmawyymhym.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, 3*w + 5*g - 78 = g. Let p = 82 - 69. Calculate the highest common divisor of w and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 149.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72\/203 + -2\/29. Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -41.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.0242948?\nAnswer: 0.0121474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c + 495. Let l be s(0). Let x = l + -201. Suppose 5*v + 4*j - 71 = 662, -2*v + x = 2*j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*b**3 - 1416*b**2 - 30*b**3 + 1415*b**2 + (3*b - 5*b - b)*(-3*b + 6*b + 2*b)*(b + 3*b - 6*b).\nAnswer: 91*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 8*i**2 + 11*i + 2. Let k be o(9). Suppose s = -s - 2*l + k, l = 1. Solve s*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 6. Let u be o(-11). Let g be (-612)\/u - 4\/(-10). Let i = -86 - g. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7283682 millennia?\nAnswer: 8740.4184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y**2 + 71*y**3 + 68*y**3 + y**2 - 140*y**3 to the form z*y**2 + f + o*y**3 + q*y and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-840)*28*2*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 146916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*f + 21 = 5*n - 365*f, 2*n = -5*f - 10. What is the smallest value in 0.34, n, 64?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172480 divided by -1?\nAnswer: -1172480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1261*h**4\/4 - 2323*h**3\/3 + 4126*h. What is the second derivative of f(n) wrt n?\nAnswer: 7566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 10 - -4) + 0 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, -1027 in increasing order.\nAnswer: -1027, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 39*w**2 - 22*w - 456. Calculate g(-7).\nAnswer: 1609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 663644 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2160 and -1\/20240.\nAnswer: 546480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*n - 7*n - 20, 25 = -v - 5*n. Suppose 3*l - 15 = -v*l. Suppose -l = -3*j + 10. Solve 0 = -3*p - 4*r - 16, 4*p + 21 = -j*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 23. Let u = x - -203. Suppose -5*y + 1104 - u = 0. What is the greatest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518776 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21625*l - 810 = -21580*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**3 - j**2 - j. Let t be c(-1). Let d be (t - 27\/4)\/((-2)\/(-48)). Which is greater: d or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2641, -2281, -1687, -859, 203, 1499?\nAnswer: 3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1106 and -47\/56210.\nAnswer: 4440590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from zgkeekkckkkkeeuk.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*q = q + 65, 2*n + q - 67 = 0. Suppose -u - 2*u + n = 0. Let w = 31 + -20. What is the greatest common divisor of w and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(1100) + 0 + sqrt(1100) - sqrt(1100)) + -4 - (3 + sqrt(1100)*2 + (sqrt(1100) + -2)**2*-5).\nAnswer: -210*sqrt(11) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 3*d**2 - d + 1. Let k be l(3). Let a be ((-24)\/5 - k) + 3. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20809*f - 20809*f + 29*f**3 + 207*f**2.\nAnswer: 29*f**3 + 207*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - b + 4*b)*(2*b**2 + b**2 + 0*b**2) - 2 - 4*b**3 + 2 - 8*b**3 - 10*b + 10*b to the form f + z*b**2 + a*b**3 + w*b and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a**2 + 41*a**2 - 14*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (0 - 1) - (11 + -15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-8))\/(48\/16). Put 1.9, 0, n in descending order.\nAnswer: 1.9, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose 8*u - 25 = h*u. Solve 5*n = -3*c - c - 25, -n = c + u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47\/668 - 1005857\/7348. Let m = y + 142. Let l = m - 49\/11. Calculate the common denominator of -32 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -1 + -3 + 3. Let f = d + 2. What is the derivative of 0 + 1 - f*l**2 + 3*l**2 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ccxxxcxxcc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*r - 6)*(-r**3 + r - r)*(-r - r - r) - r**3 + 2*r**5 + r**3 + 8*r.\nAnswer: 20*r**5 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.44531073 + -17.445. What is t rounded to 5 decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 3:01 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(4860))\/((2*sqrt(108))\/sqrt(9)).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) 57 (c) 2 (d) 1\/12 (e) 191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*f = -313*f - 8. Solve 0 = 2*m + 5*y + f, -3*y + 6 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlly when four letters picked without replacement from {y: 2, l: 5, z: 11, n: 1}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7 = 2*j - 19, -3*j = 5*r - 29. Suppose j*f + s + 220 = 0, 5*f - 7*s + 3*s = -344. Let w = f + 132. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 245 = 2*v. Suppose -5*a - 61 = -3*w, 2*a = 2*w - 3*a - v. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 143. Suppose -18*v + q*v = 0. Solve 2*j = 6 - v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4978093, -4978086, -4978081, -4978084, -4978101, -4978138, -4978201, -4978296?\nAnswer: -4978429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.775 - 0.875. What is the closest to 1 in p, -0.5, 5, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 1335*o**2 - 3870*o + 23760.\nAnswer: -5*(o - 3)*(o + 6)*(o + 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z**3 - 13*z**2 - 98*z - 128. Give n(-4).\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/6 + q**3\/6 - 65*q**2. Give l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -26, -55, -102, -173, -274?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11899177 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d + 22. Calculate the remainder when q(6) is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1998\/134423?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**2 + 31*s - 12. Let h be p(10). Let u = 13 - 12. Is (-2342)\/(u - (4 + h + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3 (c) 1\/3 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 101*a - 2770. Give s(27).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000023735618 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-8)*(-4)\/3. Let p = 5 + -3. Let q(x) = 3*x - x + x**p - 3*x - 3 + 4*x. Give q(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/17 + 2568806*a\/17.\nAnswer: 2*a*(a + 1284403)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 88*h**2 + 780*h - 12. Let u(y) = -19*y**2 - 156*y + 2. Calculate 14*u(r) + 3*z(r).\nAnswer: -2*r**2 + 156*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -413b2 - 1798?\nAnswer: -42b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 97, 424, 957, 1690, 2617, 3732?\n\"Answer: -r**3 + 109*r**2 + 7*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1 + 1 + y + 13*y**3 - 2*y**3 + 3*y**2 - 9*y**3. Determine m(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 21*t - 33. Is n(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003546 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1796*h - 1244*h - 892*h + 429*h.\nAnswer: -3503*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -5 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 4*v + 4. Let g be h(3). List the prime factors of g\/(-35) + (-534)\/(-7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4273392 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 - -119) + 0 + (-10 - 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - 2*g - g**2 + g + 22*g**3. Suppose m + 363 = 5*a, 4*a + m = -4*m + 273. Let b = a + -73. Calculate p(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283848692 minus -13.3?\nAnswer: 283848705.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - 225. Suppose -19 = -2*a + n. Suppose v + 2*f - 4*f = 8, 2*v - a = -4*f. What is the greatest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 556. What is the units digit of c(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 3*j - 31. Determine k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by -3.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 38*o = 195, 4 = -3*c - 2*o - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**3 - 6*g**2 + 2*g + 5. Calculate u(-3).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178259 (base 16) to base 4.\nAnswer: -11320021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 416*d - 382*d - 238 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + -2.02. Let x be (3\/36)\/((-3)\/(-8)). Let i = -54661.7 + 54662. Which is the biggest value? (a) x (b) i (c) p (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4\/7 + 24197*x**3\/7 + 141680260*x**2\/7 - 8176631808*x - 57378078720\/7 = 0.\nAnswer: -12288, -1, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/5469535?\nAnswer: 2\/5469535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 16) to base 10\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 1041.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 5*p - 18. Calculate the remainder when w(6) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*c + 13*c + 133 = -790 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 1, 1099, 13 in decreasing order.\nAnswer: 1099, 13, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709636 to the power of 1\/2, to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 - -130. Calculate the remainder when 14 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h**2 + 2*h - 36*h - 14*h**2 + 10*h**2 to o + d*h + y*h**2 and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 10 = 0, 37 = b + 5*n. Let g = 25\/2 - b. Suppose -g*a**3 + 1\/4*a**5 + 0 + 1\/4*a + 0*a**4 + 0*a**2 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214 + -23. Suppose 66 - h = -5*g. Let v = 14 - 1. Calculate the remainder when g is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -f - 4, f - 830 + 837 = -2*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 5*d - 19. Let z be l(-8). Let s(u) = u**3 - 5*u**2 + 4*u + 6. Let i(p) = -p**3 + 5*p**2 - 3*p - 6. Let b(x) = -5*i(x) - 4*s(x). Give b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 + 51*t - 123. Let c(q) = q**2 - 4*q + 4. What is the lowest common multiple of r(-11) and c(5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 3*q + 97. Let t be n(0). Suppose -11*k = -t - 68. Calculate the highest common divisor of k and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1153.01 + -1151.01. Let o = -17243 - -568963\/33. Let l = -15\/11 - o. What is the closest to -9 in l, 1\/7, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = -10, 42 = 4*p + 2*w. Is 2*14*14\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -56*y - 334. What is v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13888 - 7845. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 23 - 94)*(-2*a + 2 - 2 + (-3 + 3 + 1)*(0*a + 0*a - 2*a)).\nAnswer: 408*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300 or -297?\nAnswer: -300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 + 12*d - 5. Let m(o) = -4*o + 16. Let p be m(5). Let t be r(p). Put 0, 7, t in decreasing order.\nAnswer: 7, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-4*w + 6 - 6) + 0 + 4*w + 1 + 0.\nAnswer: 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiiyy. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19828 divided by -1?\nAnswer: 19828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 54*h - 39. Let u be d(6). Let y = -173 + u. What is the greatest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -382, -366, -334, -280, -198, -82, 74?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) 2 (c) -0.07 (d) 0.88 (e) 2\/101 (f) -15.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19366\/1227 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-4\/9)\/f))**0*(f**(-2\/3))**25 assuming f is positive.\nAnswer: f**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 9*i + 6*i - 7. Let n be k(11). Suppose -2*w = 5*l - 266, -2*w = n*l - 97 - 173. What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -40) + 10 - (131 - 143)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmgmmyymyygyll. What is prob of picking 3 l and 1 g?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115414940.\nAnswer: 2, 5, 5770747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 122 = -2. Suppose 40 = -4*n + 5*d, -2*d = n + d + 27. Let k = n + z. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 40 = 3*m, -4*l - 3*m - m + 176 = 0. Calculate the remainder when 211 is divided by l\/(-8) + (-12)\/(-32) + 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -20205?\nAnswer: 20178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2\/9, -1\/4, 3\/71, -0.18, 2\/9?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34\/5 of a minute?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykykykyaakyykykk. Give prob of picking 1 k, 1 y, and 1 a.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.46998 rounded to three dps?\nAnswer: -15.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 49, 0, -186 in descending order.\nAnswer: 49, 3, 0, -14, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s + 18. Let m = -3 - s. Let i(a) = 17*a**2 + a - 8. Let o be i(m). Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -533*o**2*v**3 + 97*o**2*v**2 - 4*o**2 - 12*o*v**3 - 2*v**2 wrt v.\nAnswer: -3198*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8102107 and 26013?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 8*w**3 + 4 - 23)*(w - 6*w + 2*w).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -83.7. Let k = j - -3.4. Let m = 2\/113 + 184\/2373. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-33)\/55 - 1\/(-10). Is -2 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9 + -3.9. Let o = -17 - -22. Which is the closest to 9? (a) -4 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 3*d - 18.\nAnswer: 3*(d - 3)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/3))**(2\/57)*(x**(-2\/7)\/x)\/x**4*(x**5*x*x**(-2\/9))\/(x**(1\/4))**(1\/4) assuming x is positive.\nAnswer: x**(3041\/6384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*o + 6*m, -13*o - 4*m = -10*o - 97. Calculate the remainder when 3271 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30038*d**2 - 20449 wrt d.\nAnswer: 60076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4542534*r**3 + 2907340.\nAnswer: -13627602*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -336, -576, -924, -1386, -1968, -2676?\nAnswer: -3516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31812817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -5\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57772996.\nAnswer: 2, 19, 40009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -3 - 1 - (-46 + 81)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -97 (b) -5 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2. Let i be (-29)\/65 + 9\/15. Let q = 167 - 166.5. What is the smallest value in q, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 335, 884, 1699, 2786?\nAnswer: 4151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 0.3 (b) 5.9 (c) 418\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -965 + 970. Let s(n) = -6*n - 4. Let l be -2 + -2*2\/4. Calculate the remainder when s(l) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-14)\/6)\/(78\/(-22581)). Let a = -15463\/16 + o. Let f = -406347\/24260 - 2\/6065. Find the common denominator of f and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 3*2\/6. Let i(q) = -1601*q**3 - 6*q**2 - 3*q + 10. Let l be i(p). Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36237 times 657\nAnswer: 23807709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((1\/2)\/1). Does 7 divide 21\/(-3)*(1 + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28704, -57409, -86114, -114819, -143524, -172229?\n\"Answer: -28705*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*o, -a - 3*a + 5*o = -31. Suppose -a*n = 20, 0*x = x + 5*n + 20. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 4\/(-3))*3. Suppose 0 = x - 7 - 5. Calculate the remainder when 216\/10 + d\/(-5) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*h = 0, -22 = 2*d + 5*h + 13. Let b = d - -12. What are the prime factors of b\/42 + 95\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -23*u**2 + 367*u + 16 = 0?\nAnswer: -1\/23, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -1\/5 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 636.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3\/2 (b) -3 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342 (base 12) to base 8.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 6*r - 4. Let k be w(8). What is the first derivative of -8 - 12 + 2 - 6*h**3 + k*h**3 wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 959665841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 - 3*o + 3. Let y be i(-3). Let z be -2*15\/y + 0. Solve 0 = 5*k, -b + 2 - 6 = z*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 46*x. Let u(y) = -5*y**2 + 2*y + 2. Let g(n) = -119*n**2 + 49*n + 49. Let v(j) = 2*g(j) - 49*u(j). Calculate k(v(i)).\nAnswer: 322*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*w**2 + 70 - 2*w**3 - 157*w**2 - 7*w**2 with respect to w.\nAnswer: -6*w**2 - 254*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/2)\/((-1)\/(-2)*1). Let i(f) = -2*f + 2. Let n(s) = -s**2 - 5*s + 4. Calculate j*n(g) - 5*i(g).\nAnswer: -2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 486 + -2?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23521\/938 - 9\/134. Let w = j + 1570\/63. Put 0, w, -0.1 in descending order.\nAnswer: 0, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 782056*g*o**2 + 2723424*g wrt o?\nAnswer: 1564112*g*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.054631 grams?\nAnswer: 0.003054631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*t**3 + 0*t**3 - 20*t**3 - t**3 - 2*t**3 + 0*t**3 + (0*t - t + 2*t)*(0 + t**2 + 0).\nAnswer: -35*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*u + 2160 = -169*u + 68*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.6 * 265.56.\nAnswer: -1752.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**2*p**2*y**3 - 2*m**2*p**2 - m*y**2 + p**3*y**3 - p**3 + 6*p**2*y**2 + 45*y**3 wrt y.\nAnswer: 18*m**2*p**2 + 6*p**3 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22021111 (base 3) to base 13.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1498.36 - 139.04. Round v to the nearest 10.\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 396 = -132. Calculate the highest common divisor of 24 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -141 + -1?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 86*t - 84*t. Suppose 15*n + t = 31*n. Calculate the greatest common factor of n and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11\/3)*l)\/l*l*l**(5\/7) assuming l is positive.\nAnswer: l**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1192, -1182, -1166, -1144, -1116, -1082, -1042?\n\"Answer: 3*j**2 + j - 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -81*t**2 - 3*t + 74. Let a(p) = -97*p**2 - 4*p + 74. Determine 5*a(y) - 6*g(y).\nAnswer: y**2 - 2*y - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -10. What is the units digit of (n\/(-5))\/((-6)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 e when three letters picked without replacement from {q: 1, o: 2, e: 7, i: 1, f: 6}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**4 + 2094*r**3 + 13468*r**2 - 20760*r + 7232.\nAnswer: (r + 8)*(r + 226)*(3*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5 + 7. Suppose -z - 3*l = 1, z + 49 = v*z - 3*l. Let m(d) = d**2 - 5*d. What is the remainder when m(7) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 6\/11, -19.\nAnswer: -19, 0.12, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:27 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*c - 1 + 4)*(-1 - 3*c + 1).\nAnswer: -6*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a + 12, -5*n + 5*a = 70. Let g = n - -50. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 968*d + 9383. Determine a(-10).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**2*z**3 - 38*d**2*z**2 + 11*d**2 + 67*d*z**4 wrt z?\nAnswer: -36*d**2 + 1608*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76, 36, 10, -2, 0, 16?\n\"Answer: 7*m**2 - 61*m + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = -2, 20 = 2*w - 5*g. Suppose -11 = -4*m + w. List the prime factors of 30\/m*(2 - 0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*t = 4*w - 140, 0 = 5*w - 4*t - 244. Let z = 66 - w. What is the least common multiple of z and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 140*w**5 - 3005*w**4 + 16700*w**3 - 15875*w**2 - 12340*w - 1820 = 0?\nAnswer: -2\/7, -1\/4, 2, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053393254.\nAnswer: 2, 526696627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -995, -2026, -3057?\n\"Answer: -1031*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -4*a + 5868. List the prime factors of a.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -441002 + 0?\nAnswer: -441002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2203 + 902 = 9*v. Does 31 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(91) - (-3*sqrt(91) + sqrt(91))) + sqrt(91)) + sqrt(91))\/(4*3*sqrt(7)) - (5 + -3*((sqrt(351)\/sqrt(3) - sqrt(13)) + sqrt(208)*-5)).\nAnswer: -217*sqrt(13)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65552*t + 66468*t = 65952 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2.1, 0.02, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151288 - -467.\nAnswer: -150821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 1\/8*v**5 - v - 11\/8*v**3 + 0 + 0*v**4 - 9\/4*v**2 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - -78?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1896*p**3 + 1889*p**3 + 0*p + 0*p.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1663545 and -83\/482226.\nAnswer: 595549110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162940 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + n - 7*n)*(17 - 17 - 4*n**2) + (-n**2 + 3 - 3)*(10*n - 6*n + 9*n).\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12015 and 502983.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 263, 402, 607, 884, 1239, 1678, 2207?\nAnswer: 2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzt when three letters picked without replacement from vzvvvvttvv?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2865, -5634, -8353, -11016, -13617, -16150, -18609?\nAnswer: -20988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12329145*k**5 + 12507348*k wrt k.\nAnswer: -246582900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r**2 - 89*r + 4. Let n be p(11). What is the highest common divisor of n and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 4, j: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(140) - sqrt(35))\/sqrt(5).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1. Let p(u) = 5*u + 4. Give -3*m(h) + p(h).\nAnswer: 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 122359 - 122359.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 c when three letters picked without replacement from {c: 2, u: 1, y: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52885 - 26140. List the prime factors of w.\nAnswer: 3, 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.1069355?\nAnswer: -0.1069355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q**2 + 7*q - 6. Let u(k) = -12*k**2 + 6*k - 5. Let z(v) = 6*i(v) - 7*u(v). Let y be z(-1). Solve g + y = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -946 - -999. Calculate the remainder when 144 is divided by q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 2*g. Let f be (-166)\/6 - 0\/g. Let v = -317\/12 - f. What is the common denominator of 99\/20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*x - 9923 + 47156 = 556*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/3 + n**2\/2 + 1. Let i be k(-1). Suppose 4*d + d - 70 = i. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88387234 is divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574 > 5571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)*k**(-1\/7)*k**(1\/3)\/((k*k**(-1\/5))\/k))\/((k\/k**0)**(1\/17)\/((k*k**2)\/((k\/(k**(5\/2)*k))\/k))) assuming k is positive.\nAnswer: k**(275419\/39270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 4411*i**4\/4 + 3874*i**3\/3 + 3996. Find the third derivative of g(w) wrt w.\nAnswer: 26466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841685253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2510 and 40000.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + (-11 - -8) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 - 5*m + 4. Let j(a) = a**2 - a + 1. Let b(p) = h(p) - 6*j(p). What is b(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 0 + 4)*(4*b - 9*b - 7*b) - b + 3*b - b)*(2*b**4 + 2*b**3 - 2*b**3).\nAnswer: 50*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*a + 4*z - z, -2*z = -4*a + 192. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-50) - 102\/(-15). Suppose 5*x - k - 3 = 0. Is 31 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6356 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -9\/8, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 393 = -25*o - 5*f, 2*f + 2246 = 6*o. Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h + o - 369, -4*h + 367 = -o. Suppose x - 2*l - 22 = 0, 4*x - 2*l = 8 + h. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 6. Let o(f) = -4*f + 1. Let h(i) = -7*i + 3. Let m(n) = -6*h(n) + 11*o(n). Does 5 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 52*a - 5 + 5)*(-3*a - 2*a + 2*a) to h*a + n*a**2 + k and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*z = -x - 249*z - 2, -8 = -3*x + 2*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153652126.\nAnswer: 2, 19, 941, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y = 4 + 76 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072747 divided by 178?\nAnswer: -1072747\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1631*z - 49527 = 76060 for z.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 25*u**3 + 15*u**2 - 13*u - 5. Let f be a(9). Suppose -53775 = -19*n + f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 25*s**2 - 56*s + 848. Let k be f(26). Calculate the highest common divisor of 7038 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:25 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.61112 and -38926.\nAnswer: -38924.38888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652 - (-2 - 5) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/4 + 7*t**2\/2 + 29*t\/4 - 11 = 0. Calculate t.\nAnswer: -11, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/((-1)\/5). Suppose -4*d + 9 = -4*q - 11, 2*d - 12 = 4*q. Let y be g\/d + (-30)\/48. Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-24))\/((-4)\/(-30)). Let r = 9 + f. Suppose -r*k + 122 = 2*t - 0*t, 0 = -t + 5. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + f + 0*f)*(21 + 52 + 8) as i + h*f and give h.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 16632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 571 or 518?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.42 times -21.4\nAnswer: 94.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -5*i**4\/24 - i**3\/3 + 7*i**2 + 6*i. Let s(l) = 66*l + 27. Calculate 27*c(d) + 2*s(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2 + 7. Suppose -a = -1, -7 - 6 = -n - t*a. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + 2*b**2)*(-5 + 8274*b - 4142*b - 4146*b).\nAnswer: -28*b**3 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/2 + 15007*s**2\/2 + 520255*s - 350172 = 0.\nAnswer: -4932, -71, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(1\/10)\/((m\/m**5*m)\/(m**2\/m)) assuming m is positive.\nAnswer: m**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 0.08007.\nAnswer: 3.91993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 345\/60 - (-2)\/8. Let r(f) = -2*f + 16. Let j be r(p). Solve -28 = 3*h - j*k - 4, 0 = h - k + 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) 2 (b) 5 (c) -1 (d) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65514553.\nAnswer: 13, 5039581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from yaayaaaayayayaaa?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3325 and 67165.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6907*b + 58 + 3473*b + 3423*b. Calculate h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {i: 5, s: 8, z: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17))*-1*3.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**1)**(-30)\/(t**1)**45)**(2\/67))**(25\/6) assuming t is positive.\nAnswer: t**(-875\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41642.79782 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1769 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/181025 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + 5. Suppose -q = -2*k - 0*k. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6765.8444 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066489219 to 6 dps.\nAnswer: 0.006649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1357 + -967. Let b = m - 271. Suppose 85 = 3*o + 2*o. Calculate the highest common divisor of o and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -494.258 - -51.252. Let x = y - -449. Let f = 6 - x. What is f rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 >= 32046\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/7193 or 1?\nAnswer: -45\/7193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -97, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*i = 3, 0 = 4*f + 7*i - 3*i. Let l be 1 + (f + -8 - -2). Let x(q) = -q**3 - 3*q**2 + 6*q + 2. What is x(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 14*h + 3. Let g(w) be the second derivative of 1\/20*w**5 + 0*w**2 + w + 1\/12*w**h + 0 - 5\/48*w**4 - 1\/120*w**6. Let g(i) = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/13702 and 49\/156.\nAnswer: 82212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + s**2 - 9*s**3)*(2 - 4 + s + 0).\nAnswer: -9*s**4 + 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 252 + 11*w**2 + 70 in the form m*w + r + l*w**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30*24\/(-15)*5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*h + 63, -5*h + 26 = 4*w - 39. Solve -13*p + 6 = -w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/11 - 1207348*y\/11 + 182211149138\/11 = 0.\nAnswer: 301837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 5, 1\/3, -0.5, 0.057, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of 109*c**3\/2 + 3*c**2\/2 - 3*c. Let w be u(5). Let o = w - 1085. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x - 100. Let i = x - -147. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.00009 + -11. What is g rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 1. Let x(y) = y**3 + 5*y**2 + 4*y. Let s be x(w). Is 7 + (-3)\/(-9)*s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -4\/7*b**7 + 4 + 0*b**6 + 0*b**2 + 0*b + 0*b**4 + 0*b**5 - 1\/3*b**3. What is the third derivative of y(o) wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u*z**4 - 22*u*z**3 - 8*u*z**2 + u*z + 686*u + 154*z**4 + 125*z**3 + z**2 - z + 13 wrt z?\nAnswer: -24*u*z - 132*u + 3696*z + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011100101001011000 (base 2) to base 14.\nAnswer: -b60064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2))*5 - (sqrt(2) + (sqrt(2) - (sqrt(8)\/sqrt(4) + 2)))**2) + -1 + -5 + sqrt(72) + sqrt(2).\nAnswer: -17 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -220\/47, -2.025, 11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104344?\nAnswer: 2, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69 and 948.\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dvdddddd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -59 - 16d38?\nAnswer: -16d93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 - -2c?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -21*z + 16. Let l(w) = 2*w - 4257*w**2 - w + 4265*w**z. Calculate l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -150.015\nAnswer: -30.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-144))\/((-3)\/(-30)*5)*14?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3589 and -0.05?\nAnswer: 179.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -48 + 2209 + 8*(-4)\/(-8).\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -417 + 417 - 3826*l**2 - 4425*l**2 to g*l**2 + z + c*l and give g.\nAnswer: -8251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 444992\/463 at least 961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c*c\/c**(2\/3))*c**(2\/3))\/((c\/c**(-3\/7))\/((c**(1\/3)\/c)\/c))*(c*c**(-1\/3)*c)\/(c*c*c**0)*(c*c\/(c\/c**(-2\/5)*c))\/(c\/c**(2\/17)) assuming c is positive.\nAnswer: c**(-4244\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2422, -4929, -7432, -9931, -12426, -14917?\n\"Answer: 2*u**2 - 2513*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29010176 divided by 1516.\nAnswer: -19136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h - 57*h + 19*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121*33.\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 + h - 2*h**4 + 3*h**4 - 2 as w*h**4 + k*h**2 + i + r*h + n*h**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 43 = -3*x, -35 = -0*x - 3*x - 4*b. Calculate the greatest common divisor of 52 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(28) + sqrt(28) - sqrt(28))*-2 - sqrt(336)\/(sqrt(36)\/sqrt(3))) + -4)**2 + 2*(3 + (((sqrt(56)\/sqrt(2) + sqrt(28))*6)**2 - sqrt(28))).\nAnswer: 44*sqrt(7) + 8338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 166.4 + -166. What is the closest to 30 in g, -0.4, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 0.09. Let g = -84 + 177\/2. Let v = -5 + g. Which is the biggest value? (a) w (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151230 - 5?\nAnswer: 151223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 33. Let o(d) = d**2 - 6*d + 2. Let a be o(8). Calculate the highest common divisor of r and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 19 + 56 = 0. Let k = t - -40. Suppose 4*p + k = p. What is the closest to -1 in p, -0.1, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/5 - (-16 - -22). Let v(r) = 5*r**2 + 9. Let q(j) = 3*j**2 + 4. Give b*v(m) - 7*q(m).\nAnswer: -6*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.02, 38, -3, 5, -283?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 814 + -429. Let j = d + -383. Solve 2*s = -j*x + 6*s + 28, -3*x - 4*s = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 25. Let w be 80\/(-50)*(-5)\/(-2). Which is the closest to -3? (a) w (b) x (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y. Suppose b - 2*t - 2 = 2*b, y = 3*t. Let p be 106\/6 + b\/(-6). Calculate the greatest common factor of 90 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-26)*(o\/(o\/o**(8\/11)))\/o assuming o is positive.\nAnswer: o**(-289\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -32. Let t = -8 - s. Solve -2*v + t*v + 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*n**3 + 60*n**2 + 58*n + 12.\nAnswer: 2*(n + 1)*(n + 3)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/23726417 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/67 + -170\/603. Let j(y) = 286*y - 1720. Let h be j(6). What is the closest to -1 in h, -9\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23875 + -2244315\/94. What is the common denominator of -4\/3 and i?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 2, z: 1}. What is prob of picking 1 z and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.154? (a) -55\/2 (b) 0.2 (c) -1 (d) 1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 0*m**3 - 1\/6*m**4 - 5*m + 0*m**2 - 2. Let q(i) be the first derivative of j(i). Let t(k) = -28*k**2. Give t(q(v)).\nAnswer: -112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 0.31. Let d = -0.5 + -2.5. Put n, -3\/4, d in descending order.\nAnswer: n, -3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -685, 34.5, -4\/5, -3\/7, 1, 3\/5.\nAnswer: -685, -4\/5, -3\/7, 3\/5, 1, 34.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 81 = 4*z. Suppose 0*t - 32 = 2*t. Let o = z + t. Calculate the greatest common divisor of o and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 70\/(-4))*12*3\/30\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 63325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1716 and -4.52626.\nAnswer: -7767.06216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1485, -3142, -4813, -6504, -8221, -9970, -11757, -13588?\nAnswer: -15469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*l - 19 = 0, 2*l - 4*l = 4*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/63 in -1\/9, -4, -0.4, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.9 (b) -3\/38 (c) -4 (d) 1274.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - 41) + (-3 - 2) + (27 - 69)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 14*t + 19*t - 9256. What is the remainder when t is divided by 109?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by 82\nAnswer: -57\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 1. Let s(d) = -d + 13. Let v(m) = -2*m + 22. Let g(b) = 7*s(b) - 4*v(b). What is -g(n) + 2*p(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 27. Suppose -5*u + 158 = -n. What is the greatest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let j(k) = 28*k. Let l(w) = j(w) - 24*x(w). Let o(f) = -6438*f - 1 + 1 + 6444*f. Give l(o(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 10 + -35 + (1 + -3 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(351)\/sqrt(81))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2306, -17590, -58916, -139304, -271774?\nAnswer: -469346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -30\/704119, -0.3?\nAnswer: -30\/704119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1593 - 1589. What is the closest to 1 in -1\/2, 0, 11, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4287.4 + -112.\nAnswer: -4399.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17172 = -3*o, 17*p - 5730 = -o + 22*p. What are the prime factors of o?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(1\/2)\/p)*p*p)\/p**12*p\/(p*p\/p**(-9\/5))*p*(p\/p**(-1\/5))\/p assuming p is positive.\nAnswer: p**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 612\/(612\/(-17))*1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19864*q**2 + 6*q + 239869.\nAnswer: -39728*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1*1)\/(21\/378). Let k be 2\/(-3) + (-66)\/l. Suppose -5*a = 3*x - 5 - 1, -4*a + k*x = -21. Solve w - y = 0, 3 = a*w - 4*y + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cb6 (base 15) in base 6?\nAnswer: 21143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n = 4*i + 37*n - 55, 3*i - 50 = n. Put -3\/2, -4, i in increasing order.\nAnswer: -4, -3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -321 + (3 - (13 + -10)). Let w = 10 + -330. Which is greater: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36093?\nAnswer: 3, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -m - 10, 9 = -3*c + 2*m - 1. Let d(j) = j**3 + 7*j**2 + 2*j + 10. Let l be d(-7). Is (0 + c\/4)*l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 10 = -5*w. What is the remainder when w is divided by 2 - (2\/(-2) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10331729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.6 + -5. Let u be (12\/(-15))\/(24\/(-120)). Which is the closest to 1? (a) 5 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.917706 milligrams?\nAnswer: 0.000005917706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 8, 37*d - 2 = a + 35*d. Let b(m) be the first derivative of -22\/3*m**3 - 12 - 8*m**a + 8*m - 3\/2*m**4. Factor b(p).\nAnswer: -2*(p + 2)**2*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1266496212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611146 divided by 1?\nAnswer: -1611146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655937 is divided by 4790.\nAnswer: 4497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -1214565?\nAnswer: 1214564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1300 and -83\/350.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/(-6))\/((18700\/264)\/85)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/4 + 230*s**3\/3 + s**2 - 4896*s - 9247. What is the derivative of w(h) wrt h?\nAnswer: 3*h**2 + 460*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433300 - 140?\nAnswer: -433440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Suppose 4*d = h*r + 20, 0*d - 2 = d + r. What is the third derivative of d*c**2 - c**2 - 3*c**4 + 3*c**4 - 4*c**5 wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4963315 and 6381405.\nAnswer: 44669835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {b: 15, g: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.1. Let s = i - 0.8. Let q(b) = b**2 - 8*b - 11. Let p be q(9). Is p at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108007.097 + -108007. Let s = -2.9 - -3. Do s and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41813.7 kilometers in centimeters?\nAnswer: 4181370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnnononooonfno. What is prob of sequence ofnn?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826 = -14*a - 8170. Let q = a - -755. What is the greatest common factor of q and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*x - 38, -3*x - 62 = -5*k + 36. Calculate the highest common divisor of k and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o. Let a(x) = -2*x**2 + 122*x - 4. What is a(k(n))?\nAnswer: -242*n**2 - 1342*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33\/64 - 2639\/5056. Let d = c - 467\/1106. Which is smaller: d or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457000000 by 50.\nAnswer: -9140000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**3 - 4*t**2 + 5*t. Let r(n) = -n**3 - n**2 + n. Suppose -2*v = -p - 3 + 2, -v + 3*p = -13. Give v*u(f) + 9*r(f).\nAnswer: -f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 18648*a + 28978992.\nAnswer: 3*(a + 3108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 - 233116593*v**2 + 466233195*v - 233116599 = 0. What is v?\nAnswer: -77705533, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/16)\/(2\/(-3)). Let d = -123\/4 + 31. What is the closest to -0.1 in d, b, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + 2.3. What is the second biggest value in 1, w, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -80*g**2 - 27*g**2 - 18*g**2 - 381*g - 80 + 1391*g = 0.\nAnswer: 2\/25, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*h - 8*h, -4*p + 5*h + 10 = 0. Let v be 1 + p + -2 - 3. Calculate the common denominator of 69\/14 and (v\/(-2))\/(10\/630).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**3\/33 + 52*q**2\/11 + 106*q\/11 + 19. Determine h, given that w(h) = 0.\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -165, 7, -9, 6 in ascending order.\nAnswer: -165, -9, -5, -2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from eececcccccccceccccc.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 633 = 5*f, 2*a + 19*f - 397 = 14*f. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -31 + 35 + 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-480)\/(-25))\/(-6))\/((-107)\/(-535)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1998\/(-86913)*1*3.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 51*z**2 + 405*z - 57. Calculate h(-58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 4*g + 2*g + (-4 + 1 + 0)*(0*g - 2*g + 4*g) + 949 - 949 + 33*g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12485 divided by 1\nAnswer: -12485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/13 - (-2)\/13. Find the second derivative of 2 - 3*w - 34*w**t - 5 + 6*w - 8*w**4 wrt w.\nAnswer: -504*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558120011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 298, 1176, 2632, 4660, 7254, 10408, 14116, 18372?\n\"Answer: -v**3 + 295*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-3)\/6 - -2. Solve s*z - 12 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*v = v - 80, -5*v = -4*f + 56. Let r = -17 + f. Let 0 + 2\/3*j**r + 0*j = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/11 (b) 12 (c) 3 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86249249 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*v - 5*r - 19, -2*v = -3*r - 20. Let g be 8\/(-45) + v\/(-18). Let p = 0.012 - -0.388. Which is the closest to g? (a) 2 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 11:13 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*b + 2949 - 591 = 0 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.222 + -0.22. Let z = l - -0.198. Let y = 315 + -2209\/7. Which is the second biggest value? (a) y (b) 5 (c) z (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3480561414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(252) - (sqrt(252) - (-1*sqrt(252)*-3 + sqrt(252)))) + 4 + (sqrt(343) + (sqrt(343) + 3)*-2)*3)**2.\nAnswer: -108*sqrt(7) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 - 27096*z - 45887076 = 0. Calculate z.\nAnswer: -3387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -300*i**2 + 0 + 301*i**2 + 0. Let d(c) = -2*c**2 + 6*c. What is d(j(f))?\nAnswer: -2*f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*z - 3*z, s = -5*z. Suppose j + 4 - 10 = z. Suppose -2*c + j*c - 5*t = 25, -4*t - 20 = -4*c. Solve c = o + 3*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/105 and -39?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3, -0.18, -6, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4739000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/34938512 and -25\/2.\nAnswer: 34938512","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 45. Let a be j(19). Let n = 31 - a. Suppose -3*v - 138 = n*t - 415, -54 = -t - 2*v. Calculate the greatest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 37, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + d - 961 - 793 = 0, d + 2636 = 3*r. Is 877 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4653 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + z = 168 - 159, 4*s - z = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 9:55 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (sqrt(242) + -1 + sqrt(242)*-1 + sqrt(242) - (-2 + sqrt(242) + 0))**2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.37133 millilitres in litres?\nAnswer: 0.02337133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*w + 61, 4*y - 50 = -2*w + 8. Suppose -y = -3*q + 13. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 13\/6, 2\/86181, 5?\nAnswer: 2\/86181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189456260 rounded to the nearest 1000000?\nAnswer: 1189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w. Let f(i) be the first derivative of 33 + 0*i - 29\/2*i**2. What is f(r(o))?\nAnswer: -87*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -475141366 + 33.5018\nAnswer: -475141332.4982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 5*m + 11. Suppose -30*l - 3 = -31*l. Let x be h(l). Let p = 73 + x. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -331\/2058 + -2\/343. Let w = -0.2 - -0.6. Sort -5, n, w in ascending order.\nAnswer: -5, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118*o**3 - 688.\nAnswer: -354*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, 20, 19, 2, -37, -104?\n\"Answer: -u**3 + u**2 + 13*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149354742?\nAnswer: 2, 3, 53, 191, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-28)*-16*1386\/(-16038)*54?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -13\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 857, 1951, 3493, 5489, 7945, 10867?\nAnswer: 14261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -35. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6448026\/2177 - -20733\/7. Calculate the common denominator of 29\/11 and g.\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 6*k**2 + 5*k. Let l be w(-6). Let y be (-22)\/l + 2\/(-6). Let n = -0.1 - 0.9. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {a: 1, x: 2, r: 2, g: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and 4.04?\nAnswer: -9.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 2*h**2 + h - 3. Let w be y(-3). Let t be (8\/(-24))\/((-1)\/6). Suppose -r = 4*b - t*r, r = -b + 5. Put b, w, 0 in increasing order.\nAnswer: 0, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10419*p = -10410*p - 41724. What is the greatest common divisor of p and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1325, -1463, -1747, -2177?\n\"Answer: -73*i**2 + 81*i - 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 1.5, 1, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*m**2*w + 7*m**2 + 11*m*w**2 + 2137*w**2 - 3*w wrt m?\nAnswer: -14*m*w + 14*m + 11*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**6\/60 - 3*r**5\/25 + 13*r**4\/40 - 2*r**3\/5 + r**2\/5 + 9. Find f such that x(f) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3078 or -3081?\nAnswer: -3078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-11 - -30) - 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-14)*(-26 - -28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.039, -2, 0.12, 0.4 in increasing order.\nAnswer: -2, 0.12, 0.4, 7.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22041 (base 6) to base 5\nAnswer: -44144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7408432*n + 7408329*n - 14816957*n.\nAnswer: -196*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 31*i**2 + 72*i - 186. What is f(33)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 8*l - 5. Let y be m(7). Let v(n) = 12*n**2 - 21*n**y + 10*n**2. Let o(a) = -a. Determine o(v(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3808*m**2 - 161*m + 5. Let d(z) = -5713*z**2 + 243*z - 7. Let s(r) = -5*d(r) - 7*l(r). What is the second derivative of s(u) wrt u?\nAnswer: 3818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Suppose 0 = r - 6*r + 5, -5*k = -4*r - 36. Calculate the remainder when k is divided by z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/9*v**2 - 4\/9*v**4 + 80\/9*v + 0 - 80\/9*v**3 = 0. What is v?\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**4 - m**3 - m**2 - m + 1. Let i(z) = -24*z**4 + 5*z**3 + 5*z**2 - 15*z - 5. Let s(t) = i(t) + 5*x(t). Find the second derivative of s(u) wrt u.\nAnswer: -348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v**2 - 143*v**2 - 871 + 871 - 52*v**2 + 2*v**3 in the form x*v**2 + p + c*v**3 + l*v and give x.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 586\/840 - (-4)\/14 and 4*(32\/32 - 73\/(-48)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6592 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u + 4. Suppose 0 = 4*p - 5*s - 30, -p - 3*s - 1 = -0*p. Let b be (-4 + p - 0) + -77. Let z = b - -79. Give i(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -2 (c) -0.3 (d) 120 (e) 0 (f) 68\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/12 - 4\/(-6). Let l be (14\/49)\/(h\/(-14)). What is y in 0 + 1\/4*y - 1\/2*y**l + 1\/4*y**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 57. Let y(z) = z**3 - 8*z**2 + p + 5*z - 16 - 25. Determine y(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 2. Let n be (2 + 7*-2)*-1. Suppose -6 = 2*a - 3*y, -3*a - y = -7*a - n. What is b(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2 + (-16)\/(-7)). Let l be ((-4)\/r)\/(1 + -2). Let o be ((-10175)\/(-350))\/(-37) + (-4)\/(-14). Sort o, 0.5, l in descending order.\nAnswer: l, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 3*i + 4*i)*(1 - 1 + 2)*(-10*i + 31*i + 68*i) in the form w + u*i + q*i**2 and give q.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*f + 9*f. Let z be (-18)\/(-90) - 14\/10*f. Solve z*n - 2*n = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8776 = -9*h - 8587 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.51002 minutes to nanoseconds.\nAnswer: 30601200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -702 (c) -0.03763 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Let s(i) = 5 - 5*i**z - 5. Let n(y) = 4*y. Calculate n(s(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -3. Let f(n) be the first derivative of 0*n**3 + 1\/4*n**g - 2 - 1\/2*n**2 + 0*n. What is the second derivative of f(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 1, q: 3, u: 1, f: 1}. Give prob of sequence wf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 5. Let r = -0.1 + 0.3. Which is the nearest to r? (a) -1\/4 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 2*w - 3. Let f be ((-2)\/((-1)\/(-1)))\/((-10)\/(-25)). List the prime factors of g(f).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416472 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4\/4 - 6125*m**3\/4 + 703395*m**2 - 143600380*m + 10993314640.\nAnswer: 5*(m - 308)**3*(m - 301)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**1\/p)\/p*p*p))**14\/(p\/p**(2\/5))**(-22) assuming p is positive.\nAnswer: p**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1224 - 2588 - 86*j**2 + 5*j**2 + 4*j**3 + 1364.\nAnswer: 4*j**3 - 81*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b - 3*v, v - 20 = -3*b + 3. Let z = b + 2. Solve 0 = t - 4 + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 21*i**2 - 112*i + 886. What is c(24)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -119, -170, -191, -188, -167?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*a + 402*a + 170*a)*(0*a + a + a).\nAnswer: 866*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/20)\/(1\/(-5)). Let k = 15 + -31. Let i = 11 + k. Sort 0, o, i in decreasing order.\nAnswer: 0, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 397\/3, 0.5, 1\/4, -225, -3, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1726 = -1204*a - 9043 - 46863 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7414155 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-5))\/(624\/40 + -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2864 = 4*r + 389, -5*r - 2*j = -3081. Suppose -1829 = -4*n + r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 0, t - 7388 = g - 1465. Is t a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/5))\/f**(-2)*f*f\/(f\/f**(-3\/7)*f)*f*f*f\/f**(-2) assuming f is positive.\nAnswer: f**(272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -131298, -262613, -393946, -525297, -656666?\n\"Answer: -9*b**2 - 131288*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 2*r - 4. Determine f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 + y - 1. Let a(r) = -5*r**3 - 5*r**2 + 4*r - 6. Calculate a(v) - 4*b(v).\nAnswer: -9*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1592, -2496, -4026, -6200, -9036, -12552, -16766, -21696?\nAnswer: -27360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 31*c**2 - 35*c - 37. Let u be m(-32). Suppose -u*n + 113*n = 65*n. Solve 0 = -3*w + w + 6, n = 5*s + w - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/53)\/(n**12\/n*n) assuming n is positive.\nAnswer: n**(-638\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17. Let n be (-2)\/(3\/(-6) - l). Calculate the common denominator of (-3)\/n - 651\/140 and -1\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 34334238.7\nAnswer: 34334239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -56.6. Put 2\/23, -0.3, -1\/9, o in descending order.\nAnswer: o, 2\/23, -1\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 3, x: 1, r: 1, k: 1}. What is prob of sequence kxke?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 30886633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 13 (b) -26 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7952 is divided by 6578?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*n - 91*n = 184 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vvvsvvvvs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 139588358+-91818\nAnswer: 139496540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002200 + 101112?\nAnswer: -1201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2)*1 - -2. Solve 4*d = -4*o - 16, j = -4*d - d - o - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 13*y + 6*y + 2*y**3 + 7*y to the form c*y + f*y**3 + h*y**2 + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -232672*c**2 - 1. Let a(u) = -u**2. Determine j(a(i)).\nAnswer: -232672*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168861 is divided by 84409?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -11 + 1)*-5. Suppose 190 = 5*u - t. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -76, -84, -92, -100, -108?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 678 (b) -0.06 (c) 0.1 (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4 - 406\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 9*u + 9. Let n be x(-6). Let a = n + 564. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6 + 14 - 9. Let f(d) = -12*d + 2. Let k(n) = -f(n) - 2*x(n). Let l(g) = g. What is k(u) - 8*l(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-13 + (19 - 7) - 4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946541.61 hours to weeks.\nAnswer: 5634.17625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8795, -8764, -8735, -8708, -8683, -8660?\n\"Answer: -q**2 + 34*q - 8828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3571 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 + v - 5*v - 2 + 8*v**2. Suppose 3*b + 15 = 0, b + 21 = 4*c - 0*b. Is x(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 10 + 10 + 5*w**3)*(-54*w + 14*w - 146*w).\nAnswer: -930*w**4 + 372*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1733 divide 39326317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1ba7?\nAnswer: 1ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(54)\/(sqrt(12)\/(sqrt(12)\/sqrt(3)))*3)\/((-1*sqrt(108))\/sqrt(12) + sqrt(9) - sqrt(225)*3).\nAnswer: -1 - sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -15. Let x(y) = -12*y + 58. Let m(b) = 4*j(b) + x(b). Calculate m(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1647 - 89*g**2 - 1647)*(3*g - 3*g - 2*g**3).\nAnswer: 178*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3487*h**2 + 0*h + 3*h - 3656*h**2 to c*h + n*h**2 + m and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - x**2 - x - 1. Let o(z) = -2*z**3 + 3*z**2 + 3*z + 3. Let j be (-1)\/1 + (7 - 2). Let g = j - 3. What is g*o(y) + 3*s(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 2 - 3*f**2 + f**4 - 4*f + 4*f to g*f**3 + h*f + q*f**4 + p + y*f**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9*-3)\/(5\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 166 + 181. Let c be ((-4)\/i - -1)*-12 + -3. Which is smaller: 6.3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**0)*c)**(3\/17))**(1\/20)\/(c*c*c**(-2)*(c*c**(-4\/3)\/c*c)\/c)**23 assuming c is positive.\nAnswer: c**(31289\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1186)\/(-10) - (-8)\/20. Let p be (-4)\/14 + (-1189966)\/o. What is p rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - y = 5769, 58*p - 61*p = 4*y - 17328. What is the highest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*k - 74*k - 60 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877.2679 decades to months.\nAnswer: 105272.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 3 + (4 + sqrt(45) + sqrt(5))**2.\nAnswer: 37*sqrt(5) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24897107 - -13297107. Round g to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -51*t**2 + 3*t - 24. Let u(l) = -17*l**2 + l - 8. Let s(v) = -4*n(v) + 11*u(v). Let i be s(-4). Let k = -189 + i. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-22)\/5 + 62\/5. Suppose -10*t + r*t - 2*a - 14 = 0, -4*a = 5*t + 10. What is the greatest common factor of t and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 smaller than -412569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 20*w + 4. Let d be g(-19). Let i be d*((-4)\/(-5))\/(-2). Suppose i = -n + 12. Calculate the smallest common multiple of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4752)*-3 - sqrt(33) - sqrt(33))*5)\/((-1*sqrt(704)*-5 - sqrt(704)) + sqrt(704)))**2.\nAnswer: 1083\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 132, 79\/2, 0.3, 0.1?\nAnswer: 79\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 45*m**2 + 218 - 42*m**2 + 87*m**2 in the form a*m**3 + w*m + j*m**2 + h and give h.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13823041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + 2.5. Let z = -0.4 + 0.1. Which is the nearest to 2\/7? (a) -3\/2 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/10 + (-8)\/20. Suppose 160 - 5 = b*w. Suppose -5*n = -z + 17 + w, 0 = 2*z + 2*n - 48. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 + 4*n - 7. Calculate z(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 2*t = 19*g + 40605, -3*g + t + 24362 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17023 and 788214?\nAnswer: 805237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/9, -8, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 7*y + 28. Suppose 92 - y = 6*d. What are the prime factors of (-47 + 1)\/(d - 15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 117 = -56*q + 823 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and -55941?\nAnswer: 3020814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10113 divided by -3\nAnswer: 3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u - 66 = 55*u. Let z(o) = -o**3 + 5*o**2 - 5*o - 1. Let l(j) be the first derivative of -j**4\/4 + 2*j**3 - 3*j**2 - j - 71. Give u*z(n) + 5*l(n).\nAnswer: n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 31*h**2 - 40*h + 52. Let o be w(28). Suppose 17*f - 20*f + o = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 11 - x - 5*x. Let z be l(3). Let j = 49 + z. Solve -21 = r + j*i, 3*r + 6 = -i + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 82*w**2 + 5742*w + 141. What is b(-70)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, h: 3, g: 3, k: 2}. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64051 divided by 379?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.2 from 0.049.\nAnswer: 3.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3743 + -2588. Let d = -8114\/7 + y. What is the common denominator of 53\/6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250425 - -75721?\nAnswer: -174704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (180\/(-25))\/6*-5. Suppose -s*k + 70 = -11*k. Let a be 130\/(-14) + (-4)\/k. Sort -1, 1, a in ascending order.\nAnswer: a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 9*u**2 - 9*u. Let l be s(10). Let t(r) = r + 2. Let o be t(5). Let y = l - o. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8024920 - -5274878. Let m = -9110042 - c. Round m to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 70. Suppose i*r - 280 = -64. Calculate the greatest common factor of 432 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + 3. Let o = -3 + 2. Let n = -439 - -441. Sort n, v, o in descending order.\nAnswer: v, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 17*z + 60.\nAnswer: (z - 30)*(z - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114352063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let r(u) = -4*u**2 + 7*u. Let i = -6 - 0. Let c(m) = 4*m + 0*m + 2*m - 3*m**2. Let j(n) = i*r(n) + 7*c(n). What is t(j(h))?\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6535 is divided by 1632.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1821 and 2381268019.\nAnswer: 2381266198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + l = 198 + 393, -3*v + 356 = 2*l. Suppose -118 = 7*x - v. Solve -d = -x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 49\/6 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53862 - -53768.964. Let l = n + 95. Let d = l - -0.036. What is the smallest value in -1.3, d, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 35 = -6*l - 6*x, 5*l + 3*x - 33 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.7. Let l = -769 + 772. Sort -2, 4, i, l in decreasing order.\nAnswer: 4, l, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*x + 26, -h + 4*x - 4 = 8*x. Let p(s) be the first derivative of s**2 - 4*s - 1. Let v be p(h). Solve 0 = v*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -4. What is the closest to m in 0, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4491 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6614076 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u - 732 = 0. Let q = u - -1279\/7. Let g = 3.72 + 0.28. Which is the second biggest value? (a) -2 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11407916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*g - 4. Solve 0*r - r = g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (855\/1026)\/(320\/(-1824))\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/448151 and -1\/55.\nAnswer: 2240755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88041572.\nAnswer: 2, 17, 1294729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:49 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(147) + sqrt(147)) + (sqrt(147) - ((sqrt(147)*1 - sqrt(147)) + sqrt(147)))*-2)**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -539081*j*m**5 - j*m**3 + j*m**2 - 42*j - 5*m**2 - 14*m wrt m?\nAnswer: -32344860*j*m**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-3 - 0 - (-39288)\/36)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -23*f - 81, 3*f - 486 = -2*l - 501 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0345 - -2.3855. Let p = c + -1.42. Which is bigger: -2\/223 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*z)*(110 - 36*z - 109 + 14*z) + z**2 - 2 + 2 + (-z + 5*z - 2*z)*(-1 + 1 - z).\nAnswer: 43*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 13*r**2 - 29*r + 1. Let w be y(-7). Let s = -80 - w. Let x be (s + 0)*76\/(-10). Is -76 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 2*t + 16, -88*n + 12 = -86*n - 2*t - 20 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**2 - 1. Suppose 0 = -6*x - 4 - 2. Let s = -4 - x. Let o(p) = 2 + 8*p**2 + 0*p**2 - 2*p**2. What is s*o(g) - 4*y(g)?\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t*w**4 + 1647*t*w**3 + 1200*t*w**2 - t*w - 4*w**4 + 13*w wrt w.\nAnswer: -120*t*w + 9882*t - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728075.\nAnswer: 5, 29123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6515, -21695, -36863, -52013, -67139, -82235?\nAnswer: -97295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403.52 + -400. Let w = h - 3.51. Which is the smallest value? (a) -4\/3 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose 3*p - 2*p + 4*w - 15 = d, -p - 3 = -2*w. Is p + (-1 - -15) + -2 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25394 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125214?\nAnswer: 2, 3, 41, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b - b + 0 + 3*b + 0 + (0*b - b + 2*b)*(-1 + 1 - 1) + 9*b - 3*b + 3*b + 2*b + 2*b - 2*b)*(b**2 - 2*b**2 + 2*b**2).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -19*h**2 - 1\/240*h**6 + 0*h - 1\/18*h**3 + 1\/360*h**5 + 1\/1260*h**7 - 2 + 1\/48*h**4. Factor b(s).\nAnswer: (s - 2)*(s - 1)**2*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 19*c + 47124. Let k = c + 3195. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 14 - (-3 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 20*b**2 - 4*b**2 - 4*b**2 - 8*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 3, 43, -3 in decreasing order.\nAnswer: 43, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -194, 24, -3, 142, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -154, -161, -164, -157, -134, -89?\n\"Answer: g**3 - 4*g**2 - 2*g - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + (-168 - -241)\/((-3)\/(-6))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156.77385 - 0.06615. What is y rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53058)\/44215 - ((-432)\/10 - -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*x + 9359 = 0, 0 = -4*x - 5 + 13. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.3 + -4. What is the closest to -1\/3 in -2\/13, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9*(3 - -1 - 1). Let g be (v - 0\/(-4))*3. Let d(c) = -4*c + 38. What is the smallest common multiple of 2 and d(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + (-1860)\/(-42). Let j = o + -21. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 570062?\nAnswer: 570056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184581 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: Solve -303 = 129*m + 3*a, -83 = -0*m + 4*m + 3*a - 4*a + 8*a - 2*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, 57, 1, 0.5 in increasing order.\nAnswer: -2\/37, 0.5, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -5 - 34\/2. Let q = v - -72. What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 59*m - 377. Let y be u(6). Solve 5*t + 7 = -4*p, -4*t - t - y = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 12365.\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + w**2)*(-5*w - 1131 + 353 + 238) in the form p*w + u*w**2 + d*w**3 + c and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -408, -899, -1584, -2463?\nAnswer: -3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5844063647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23483588 divided by 56999.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5681 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/15 + 589858*l\/15 - 589868\/3 = 0. What is l?\nAnswer: -294934, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**2\/2 - 4*h + 16. Determine o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682136\/27 or -25263?\nAnswer: -682136\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 849, 857, 879, 921, 989, 1089, 1227, 1409?\n\"Answer: q**3 + q**2 - 2*q + 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133567, 133581, 133595, 133609, 133623, 133637?\nAnswer: 133651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4399527 or 4399519?\nAnswer: 4399527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, 113, -2 in descending order.\nAnswer: 113, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d + 0*d**3 + 1\/24*d**4 + 0 + 6*d**2. Let h(c) = -2*c**2. What is h(g(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 76172*w + 2 + 48060*w + 4 + 49739*w.\nAnswer: 173971*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 6. Let j be y(4). Suppose -4*d - 15 = -d. Suppose 2*w = -w + 15. Put j, d, w in increasing order.\nAnswer: d, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -564, -1187, -2014, -3027, -4208, -5539?\nAnswer: -7002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 60 = -5*r. Suppose -6*m = -m - r. Solve -2*k + 20 = m*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Let y(w) = 2 - 3*w**u - 5 + w**2 - 5*w + w. Let s be y(-2). Is s < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/22, -4, -2, -5.66, 2\/3 in increasing order.\nAnswer: -5.66, -4, -2, 3\/22, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931878045, -931878046, -931878047?\nAnswer: -931878048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/21 and 5\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/9*1*4836\/28210.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 13*q + 2*q + 0*q - 2*q + 4*q - 2*q - q + 2*q + 4*q - q - 2*q + 4 - 2*q - 4 + (q - q - 2*q)*(-2 + 0 + 4) + q + 0 + 0)*(q**2 - q**2 + 2*q**3).\nAnswer: 28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37198.2 - 37199. Which is the fourth smallest value? (a) -2 (b) 1 (c) q (d) -2\/5 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 9 + 0*d**3 + 9\/5*d**5 - 9\/2*d**2 + 0*d + 0*d**4. Find the second derivative of w(y) wrt y.\nAnswer: 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*s = -7*s + 9255, 5*s - 3096 = n. Let d be n\/(-15) - (-6)\/(-15). Let m = -120 + d. Calculate the highest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = a. What is the tens digit of 1230\/70 + a\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9\/10))**(-2)*(r\/(r*r**18*r))\/((r*r*r\/(r\/(r\/r**(-44))))\/r*r))**2 assuming r is positive.\nAnswer: r**(-642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 10*o**3 + 2*o**2 + 2 - 11*o**3 in the form n + i*o + g*o**2 + c*o**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9088 = -5*j + 3*h, 6*j - 10*j - 3*h = -7265. Suppose 4*w = -a + j, w = a + 382 + 71. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 40. Solve 0 = -4*j - 4*f - f - o, -4*j + 3*f = 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 14)*(-96)\/(-6). Suppose 0 = 197*w - c*w - 1540. What is the greatest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:57 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8589.298g in micrograms?\nAnswer: 8589298000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 1876*a - 205326.\nAnswer: 2*(a - 99)*(a + 1037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 take away 343119?\nAnswer: -343119.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1568 and -17\/1232.\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6379, -6491, -6671, -6913, -7211, -7559, -7951?\n\"Answer: n**3 - 40*n**2 + n - 6341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2554, -2376, -2198, -2020, -1842, -1664?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113331203 + -221?\nAnswer: 113330322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368524 - 76090 = 2397*u for u.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*l - 10 = 0, 2*d + 3*l = -0*d + 8. Let w = d + 3. Is (-1 - -123 - 2) + w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 13*b**2\/2 - 7*b - 28. Let s be z(-2). Which is smaller: -32 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/120 + 3*a**3\/2 - a**2. Calculate the lowest common multiple of y(0) and (3*1)\/(15\/(-10) - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -7. Solve 0 = 4*a + s - v, 0 = 4*a - 0*s + 5*s - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/(37*144\/(-322344)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -7*s**3\/4 - 10*s**2 - 11*s + 4 = 0.\nAnswer: -4, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 48. Let p(s) = 121*s + 2. Calculate p(f(r)).\nAnswer: 242*r + 5810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -7*y**4\/2 - y**3\/3 + y**2\/2 - 2*y + 4. Find the second derivative of f(n) wrt n.\nAnswer: -84*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**7\/560 - d**6\/80 - 5*d**3\/2 + 13*d. Let p(v) be the second derivative of f(v). Factor p(w).\nAnswer: 3*w**2*(w - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + v + 34 = 0, -2*u = -5*u - 3*v + 6 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2021*g**2*h**2*n**3 + 6053*g**2*h**2*n - 2*g**2*h*n + h**2*n**3 + h**2*n**2 wrt n?\nAnswer: -12126*g**2*h**2 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 6. Let u be k(6). Suppose -u*v + 6 = -4*v. What is the second derivative of -4*f**3 + 3 + 4*f - 12*f - v wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.102 and 7461066.776.\nAnswer: 7461066.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -79 + 35. Suppose -19 = -4*y - h. Let i(b) = 2*b**3 + b - b**3 - 3*b**2 + 2 + 0*b**3. Calculate i(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**5\/50 + 7*i**4\/40 - 4*i**3\/15 + 463. Factor m(s).\nAnswer: s**2*(s - 1)*(s + 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28882 is divided by 194?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216780323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 - 17767 - 136*b**2 + 17767 + 2 + b**4 - 2 + (-2 + 7 - 4)*(5*b**4 - b**4 - 2*b**4) to w*b**4 + j*b**3 + z + q*b + k*b**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from qfqdqlk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*l + 6*l - 119 = 6*l, -57*l - 1306 = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100809 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2422 and -43\/2.\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from rnfnndr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103292, -206585, -309880, -413177, -516476, -619777, -723080?\nAnswer: -826385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13942792.\nAnswer: 2, 181, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Suppose 2*k + 10 = -4*n, h*n + 3*n + 5*k + 11 = 0. Let i = n - -1. Which is the third biggest value? (a) 1\/2 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-1)\/(3 - 1)). Suppose 0 = -0*v - n*v - 4*b - 18, 2*b = -2*v - 8. What is the tens digit of (38\/(-4))\/(v\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70\/9 + -953\/126. Which is smaller: c or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27723 is divided by 13768.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183729 and 390?\nAnswer: 1837290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -1223, -2729, -4851, -7595, -10967, -14973, -19619?\nAnswer: -24911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 - 11*a + 6. What is the least common multiple of c(4) and 302?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*s = 60*s + 1452 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 329511484 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 20746.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298803 and 27?\nAnswer: 2689227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11862 is divided by 1186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2781 - 908. Suppose g - 19 = 3*n. Is 7 a factor of (-2)\/6 + n\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 21*h + 42. Let m be y(19). Let f be -3*m\/(-78) - (-306)\/39. Solve 4*r = 4*b + f, 0 = 3*r + 5*b - 11 - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2904*k. Let f(x) = -785*x**2 - 4. What is f(u(d))?\nAnswer: -6620074560*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {x: 3, f: 1, k: 1, g: 5, e: 1, s: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/69*-7*24\/(-560)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 10. What is the common denominator of j(4) and 9\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 373, 1428, 3155, 5548, 8601, 12308?\nAnswer: 16663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126670 and 1090740.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3, -h - 76 = 5*v - 16. What is the remainder when (-20)\/((-210)\/h - 4) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkl when three letters picked without replacement from {k: 7, l: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -651, -1168, -1555, -1812, -1939?\n\"Answer: 65*z**2 - 712*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 30. Suppose 5*l = 2*z + 20, l = -0*l + 4*z + 4. What is the greatest common factor of l and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n. Solve 3*o - 7*o = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egeejeigiemeejgjege. What is prob of sequence gig?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 - 1 = -3*j, 0 = 2*f + 2*j. Suppose 9*c - f = 17. What is the third derivative of 3*b**6 - 4*b**c - 13*b**2 + 2*b**6 wrt b?\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -12001112 (base 3) to base 12\nAnswer: -2172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2318.77 - -2318.6. Sort f, 0.2, -3 in descending order.\nAnswer: 0.2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(468)*2*2 + 3)**2.\nAnswer: -720*sqrt(13) + 187209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 1 - 1\/8*t**2 - 1\/4*t = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - -23. Calculate the highest common factor of v and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87283991 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 4*x + 16 = -17*a, 3*a = 4*x + 20 + 4 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261 + -247)\/((-154)\/429).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*w**2 + 2*w - w**2 + 2*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or -2\/31?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2. Let k(y) = -1736186*y. Calculate k(v(u)).\nAnswer: 3472372*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 36. Let x(s) = -s + 20. What is the remainder when x(u) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.06943 millilitres in litres?\nAnswer: 0.04306943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -240 + -954?\nAnswer: -b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 = -g + 1, -2*g = 2*p - 10. Suppose 7*m = g*m + 35. Calculate the remainder when m is divided by 11\/4 + 2\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*q - 24 = 0, 4 = 9850*s - 9852*s + q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -28, -39, -50?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(g + 0*g + 0*g) + 2*g + g - 4*g - g - 3*g + 8*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -18. Which is the second biggest value? (a) m (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933678 is divided by 22744.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -174 - -3a0ab?\nAnswer: 39b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 30*a**2 + 2*a + 54. Give t(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 558840 and 838260?\nAnswer: 1676520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -36\/83 (b) 5 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -388, 5, 2, -110 in decreasing order.\nAnswer: 5, 2, -110, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10215075 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -109. Calculate the common denominator of (-14)\/12*y\/(-28)*19 and 5\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 27 + (-17 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + 2 + 59) - (-2 - -3)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51243186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/10))\/m**(-7)*(m**2)**24 assuming m is positive.\nAnswer: m**(557\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ec + -a5c?\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 951006?\nAnswer: 951000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -415. What is the common denominator of (-2)\/(-6) - (r\/36 + -1) and -95\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = -11. Let h(r) = 9*r**2 - 13*r**2 + 5*r**2 + 1. Let v(b) = 2*b**2 + 2*b + 2. What is t*v(j) + h(j)?\nAnswer: -j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 - z + 2. What are the prime factors of f(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = 24*v + 2. Let p be (23\/(-69))\/(v\/(-6)). Sort p, -5, -3 in increasing order.\nAnswer: -5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000234439402 rounded to six dps?\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11315 is divided by 642?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2007.8 - -2011. Which is the second biggest value? (a) -2 (b) -5\/3 (c) w (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -290 + 3?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148696*y + 769 + 1146 = -148669*y + 349 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1561632?\nAnswer: 1561635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -4\/205255861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*t - 0*t - 7, 0 = 3*l + 9. Suppose -t*a + 0*a - 40 = 0. Calculate the common denominator of 20\/(-32)*(-2)\/a and 67\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 709922 and -11.\nAnswer: -7809142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9581 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 308\/(-210) + (4 - (-76)\/(-12))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*m - 0*m + 287, 2*m = -2*o + 302. What is the remainder when m is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1535403 - 2023?\nAnswer: -1541430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-66))\/((-45)\/(-342))*-3\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7, 32, 55, 58, 23, -68?\n\"Answer: -3*z**3 + 17*z**2 - 5*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.5, 307\/5, 11, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 11*r. Let o be p(11). Let w = 47\/159 - -2\/53. What is the nearest to o in 1, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 + 2 - 4*n**2 - 2*n**2 - 28*n + 7*n**2. Let s be t(-14). Let h = -1 + 4. Solve -h*p + p = -s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30979658 a multiple of 3135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b + -58f?\nAnswer: -4f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (28 - 18 - 0) - 87?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294649862 and 19270.\nAnswer: 3854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h - h + 0*h + h**4 + 5*h wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112013 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p + 3. Let d be (-1)\/((-2)\/26) - -1. Let v(c) = d*c - 3 + 6 + 0*c - c. Let u(g) = 5*i(g) - 6*v(g). Find the first derivative of u(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4 + 3202*p**3 - 1696224*p**2 + 292592936*p + 2450949440 = 0?\nAnswer: -8, 485, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10468000 rounded to the nearest 100000?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3437342 rounded to 3 dps?\nAnswer: -14.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 98\/9 (b) -3 (c) 1.1 (d) -0.05 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5 - 71*k**4 - 4*k**2 + 260*k?\nAnswer: 60*k**2 - 1704*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2369 - -4686. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 123\/6*-2*(-5)\/5. Let i = -4 - -4. Suppose 3*p + i*b = 5*b + d, -34 = -2*p + 5*b. What is the remainder when 27 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 3*c - c)*(-c - 3 + 3) - 9*c**2 + 3*c**2 + 0*c**2 - 5*c**2 - c**2 - 10*c**2 - 5*c**2 - c**2 + 5*c**2 to y*c + f*c**2 + v and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 17*b**2 - b. Let p be l(-1). Suppose 4*w = -o - 4, p + 14 = 3*o + w. What is the smallest common multiple of 20 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 13*o - 52 = -5*g, 4*o = -3*g - 16. Which is greater: -51\/148 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26086*s**3 - 18 + 37 + 26097*s**3 - 19.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -228 + 258. What is the lowest common multiple of i and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4081 - -3997. Put 3, -4, d in decreasing order.\nAnswer: 3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f - 51*f**3 + 46*f**3 + 2*f**2 + 2*f in the form m*f**2 + w*f + s*f**3 + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1104542530?\nAnswer: -1104542521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/49 - 78872\/14. Is i\/(-22) + (-3)\/33 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32203)\/(-39) + ((-6)\/9)\/2. Let h = 826 - z. Factor 2\/13*p + 0*p**3 - h*p**4 + 0 + 6\/13*p**2.\nAnswer: -2*p*(p - 1)*(2*p + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 267363*h + 1604168. Determine r(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 44*d - 270.\nAnswer: 2*(d - 27)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2. Let q(p) be the third derivative of p**8\/3360 + 19*p**5\/30 + 2*p**2 - 67*p. Let k(s) be the third derivative of q(s). Determine x(k(y)).\nAnswer: 108*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*b - 436*b + 52022 = -305*b for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-y**2 - 3*y + 3*y) + 4*y - y**2 + 2*y - 10*y.\nAnswer: -2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 31*s + 231 = 28*s, -4*p + 5*s + 233 = 0. Calculate the remainder when 204 is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 2*i - i)*(-215951 + i + i - 165*i**2 + 2*i**3 + 215948) to v*i**3 + y + u*i**2 + l*i + t*i**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10000110100100101 (base 2) to base 4\nAnswer: -100310211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 13*s**2 - 34.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 128, 511, 1148, 2039, 3184, 4583, 6236?\n\"Answer: 127*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*l**3 + 6*b*l**2 + 17*b + 6737*l**3 - l**2 wrt l.\nAnswer: 12*b + 40422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*d - 37, -20*d + 32 - 251 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17587818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 919166, 5, -9 in descending order.\nAnswer: 919166, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.053 - -2.653. Let v = 2.4 + g. Let o = 0.4 + 2.6. What is the biggest value in -8, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d)\/(d\/(d\/(d\/(d*(d*d\/d**(-2)*d)\/d))*d)))**(-11\/5)\/((d**(-2)*d*d**(3\/5))\/((d*d\/d**5)\/((d\/(d\/(d**(-1)*d)))\/d))) assuming d is positive.\nAnswer: d**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 10*r - 7*r - 105*t = -638, 2*r - 3*t = -14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50211918, 100423830, 150635742, 200847654, 251059566?\n\"Answer: 50211912*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3050 = 21*l + 40*l. Calculate the remainder when 115 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 480. Let d be 4\/14 - p\/(-28). Find the second derivative of -5*f - d*f**4 + 32 - 32 wrt f.\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4289.921 - 4294. Let n = x - -0.079. Let w(u) = u**3 - 3. Let s be w(0). Which is the second biggest value? (a) s (b) n (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*q**3*w**2 + q**2*w**3 - q*w**3 + 61*q*w**2 wrt q?\nAnswer: 840*q*w**2 + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*u + 5. Suppose -5*r = 3*q + 19, 0*r = u*q + 2*r + 2. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -537.8725514 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99336 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6392 divided by 2\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138856 is divided by 138353.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 + 111399652*u + 3102470616430276 = 0.\nAnswer: -55699826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o = -8*o - 36 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 404 - 376. What is the remainder when (-2)\/(-6) + (-1666)\/(-6) is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.097552, -3, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 2}. What is prob of sequence ll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**2 + 2*o - 6. Let w(c) = 4*c**2 + c - 3. Let v(n) = 3*j(n) - 7*w(n). Let q be v(-4). Let p = 1 - q. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 4*h**2 - 3*h. Let u be c(5). Let x(l) = -l**2 + 8*l - 3. Let o be x(7). Suppose -r + 10 = r - o*j, 3*r - j + u = 0. Sort -3, r, 5.\nAnswer: r, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 + 1 + (36 - 60) - 5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and 0.35.\nAnswer: -14.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 62, 110 in decreasing order.\nAnswer: 110, 62, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = 3. Let s be 3 + 1*v\/(-3). Let z = s + 19. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*u**2 + 54*u**2 - 26*u**2 + u**4 + 14*u + (0*u**3 - u**3 - u**3)*(u + 4*u - 4*u).\nAnswer: -u**4 - u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -466 + 231 + 3*d - 33*d + 237 in the form c + o*d and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5 + 149*x**4 + 1387*x**3 - 449*x**2 - 4468*x - 2780 = 0. What is x?\nAnswer: -139, -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1460 - 3*t**2 + 3578*t - 1376 - 3578*t.\nAnswer: -3*t**2 - 2836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u - 142. Let n be z(-21). Let g = n - -252. Let c(y) = 4*y**2 + 5*y + 5. Let r(v) = 5*v**2 + 6*v + 6. Determine g*r(p) - 6*c(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {l: 5, w: 2, g: 1, j: 1, n: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271 - -246. Let w = -16 - y. Is 8 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from {b: 12, v: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -4*j**2 + 0*j**4 + 0*j - 1\/10*j**5 + 13\/120*j**6 + 0 + 0*j**3. Find the third derivative of d(r) wrt r.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12026.3 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7.5. Let s = k - 0.7. Let t = 0.4 + 0. What is the third biggest value in s, -2\/11, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4*14 - -15. Let r = -83 - -95. Calculate the greatest common divisor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17 = -3*m, 49 = 4*l - 4*m + 65. Sort -2, 51, 2, l in descending order.\nAnswer: 51, 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 56 = -y, 4*y = w + 9*y - 14. Suppose -14*r - w*r = -8876. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*w = -57*w + 1944. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -1.6. Which is the second biggest value? (a) 2\/13 (b) 5\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4601.2 - 4601. Sort m, 4, -2\/19, -0.95 in descending order.\nAnswer: 4, m, -2\/19, -0.95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9331836 to the power of 1\/2, to the nearest integer?\nAnswer: 3055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 27*g**2 + 41*g - 22. Let h(p) = -9*p**2 - 14*p + 8. Let u(k) = -11*h(k) - 4*n(k). Let y(q) = -2*q**2. What is u(y(i))?\nAnswer: -36*i**4 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**2 + 33*q - 649. List the prime factors of x(39).\nAnswer: 2, 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 2. Suppose 47*s - 284 = -25*s + s. Which is the fourth biggest value? (a) s (b) 3\/7 (c) w (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 958944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 7.42982 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -19. Let v(o) = o**3 - 11*o**2 - 10*o - 22. Let c be v(u). Calculate the remainder when 68 is divided by 6\/27 - (c - 424\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40555.5 micrometers to centimeters.\nAnswer: 4.05555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3)\/((q**(2\/17)*q)\/q)*q**(-1)*q**(-5)*((q**3\/q)\/((q**(-5)\/q)\/q))\/(q**0*q*q*q\/(q\/q**(-1\/8))) assuming q is positive.\nAnswer: q**(-135\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719 + 10877 = 16*w - 14*w. List the prime factors of w.\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 435\/8, -0.72 in decreasing order.\nAnswer: 435\/8, -0.72, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 679 + -679.3. Let m = -0.5 - -0.7. Suppose 0 = -2*o + 8 - 32. What is the smallest value in o, m, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*p - 20 = 0, 2*d + d + 20 = 4*p. Let v(k) = 11*k - 26. Let l(n) = 4*n - 9. Let c(s) = -8*l(s) + 3*v(s). Let f be c(6). Is d smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 53386242?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**4 - 7*q - 2 - 24*q**4 + 10*q**4 - q + 3*q**4 - 8*q**2 in the form l*q + p*q**3 + h*q**2 + m*q**4 + j and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(704) + sqrt(44)))\/(sqrt(24)\/sqrt(96)).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -588*b**3 + 25*b**2 - 2*b + 1. Determine z(1).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b - -80828?\nAnswer: 80874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/343*119\/(-34).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 2*m**2 - m - 2. Let z = 9 + -11. Let p be g(z). Let d(v) = -8*v + 5*v + p*v. Let q(l) = -2*l**2. Calculate q(d(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 973 and 2224.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (522 + (-1 - 0))\/(11\/143) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -171571?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-51)\/1)\/(-25 - -9 - -13). Which is smaller: d or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 19*p - 21. Let w be j(-6). Let v = 338 + w. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let h = r - -1. What is the closest to -0.1 in h, -5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14724462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 318464605 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 11358270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 26*g - y + 14572005 = 0, -3*y + 18215015 = 5*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -71. Let b = r + -49. Let p = -8 - -4. Put p, b, 1\/3 in descending order.\nAnswer: 1\/3, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeemaageafesfaffgg. Give prob of sequence sea.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4469 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13088, 13092, 13098, 13106, 13116?\n\"Answer: g**2 + g + 13086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010111000000111001 (base 2) in base 16?\nAnswer: d7039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808*-223282.\nAnswer: -180411856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-3) + (301\/(-3) - -103). Suppose -25\/4*n**4 - 459\/2*n**2 + 345\/2*n**3 + 459\/4*n - 81\/4 - 125\/4*n**y = 0. Calculate n.\nAnswer: -3, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27*o + 7. Let r(i) = 54*i + 12. Calculate -5*k(w) + 3*r(w).\nAnswer: 27*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1425708 by 11052.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/249 and 29\/201?\nAnswer: 16683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 15793*q**2 + 31 - 15822*q**2 as l + v*q + b*q**2 and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81821 and 7633?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put -373, -5, 6, 7 in ascending order.\nAnswer: -373, -5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 1\/4 (b) -1\/9 (c) -1.3 (d) -8 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (-39513)\/(-21) + ((-24)\/28)\/(-2)?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-1 + 3\/2). Let w be 18 - (-16)\/(12\/(-3)). What is the highest common divisor of w and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4780 + -2659. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5\/4 + 27*c**4\/4 + 75*c**3\/4 + 73*c**2\/4 + 6*c = 0.\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 634\/5 + -436\/5. Let x = -39 + l. What is the third biggest value in 2\/19, 0.3, x?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 - 133. Let b(y) be the first derivative of -y**3\/3 + y**2\/2 + 2*y + 2. Calculate b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 12. Put i, -3, 1 in increasing order.\nAnswer: i, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196 + -133. Let m = -373 + 417. Let r = o - m. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w**2 - 10*w**2 - 14*w**2 + 10.\nAnswer: 4*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*w + 2702469 + 4317531. What is w rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -38.0637\nAnswer: -266.4459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/110 and -53\/5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*a - 215*a + 40*a**3 + 148*a.\nAnswer: 40*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((6 - 6) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrk when three letters picked without replacement from {r: 5, k: 1, p: 1, l: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3 + 15, j + 2*k + 13 = 0. Let f = -7.1 - -7. Which is the nearest to f? (a) 0 (b) -4\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-11) - (18 - 5 - 16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127368931*h**5 + 64050670*h**2 wrt h.\nAnswer: 7642135860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4752 - -5216. What is the second smallest value in -2, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 6428520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.049 = 15743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6172890 divided by -6\nAnswer: 1028815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1993\/133 - 15)\/(2 - (-430)\/(-210)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m + 63. Suppose r = -2*j - 107, -31 = -3*j + 4*j - 4*r. Let z = -58 - j. What is the tens digit of h(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14350181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 496 - 523. Which is the closest to -0.2? (a) -1\/10 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*o**2 - 8021707 + 8021707 + 2*o**3 - 648*o.\nAnswer: 2*o*(o - 36)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1066464130*z - 1066464130*z - 5*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5188*c**2 + 2624*c**2 + 5160*c**2 in the form t*c**2 + q + p*c and give t.\nAnswer: 2596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 264*d + 18572. Calculate b(-113).\nAnswer: 1509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6 + 18 + 4*u**2 + u**3 + 4*u + 2*u**2. What is the remainder when 32 is divided by a(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104 + 51*a**3 + 1104.\nAnswer: 51*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -54*f**3 - 3*f**2 + f - 6. Let z be o(-2). Suppose 5*c + 4*l - 30 = 0, -2*l = -3*c - 4 - 0. Suppose 2*u + c*u = z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b + 28. Let i be l(-3). Suppose i*x - 3*z + 4*z = 576, z + 432 = 3*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40472960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, a: 4, j: 3, k: 1}. What is prob of picking 1 a and 3 q?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.3 in -7\/3, 8647, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/120 + c**4\/24 + c**3\/6 - 51*c**2. Give n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6461924 is divided by 2153971?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14240, 14222, 14204, 14186, 14168?\nAnswer: 14150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -431 and -722.466?\nAnswer: 311382.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 27 = 5*r, 6*y - 3*y = -2*r + 13. Suppose r*t = -2*u + 67, 4*t - 73 + 9 = -2*u. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/1264 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 15 = 23*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k. Let o be t(-1). Let s = 1 + -7. Let b be o\/s*(-10)\/3. Solve 3*m + b + 4 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/328 and 39\/34210400.\nAnswer: 34210400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39291 divided by 18604\nAnswer: 39291\/18604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 - 130. Suppose 4*j = -6 + 162. Calculate the remainder when 1 + 2 - (-157 + g) is divided by j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11776295737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-144)*-10*276\/(-23)*-2\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4170 divided by 5.\nAnswer: -834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 10*s**2 - 7*s + 14. Let m be w(-9). Let u be (-9)\/(m - 190\/(-15)). Let h = u - -301\/390. Are -1 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -98*5\/2*5. Suppose -f - 5*m + 1961 = 0, 7*m = -2*f + 11*m + 4006. Let o = f + v. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-6))\/((-4)\/(-6)). Let r = 1\/4 + i. Which is the third smallest value? (a) -3\/4 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.3132, 0.06, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 772214064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 38, 58, 96, 158?\n\"Answer: o**3 + o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-4)*(b**15*b)\/b)**(-30\/7))**(2\/35))**33 assuming b is positive.\nAnswer: b**(-4356\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - 4*sqrt(891)*1)*-1 + sqrt(891) + 2 + -1 + -1*(1 + sqrt(891)))**2*-6.\nAnswer: -48114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2031, 2083, 2113, 2121, 2107, 2071?\n\"Answer: -11*v**2 + 85*v + 1957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 2*n + 3. Let j be u(-3). Suppose j*q = 4*q + s - 46, -3*s = -4*q + 38. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 608.\nAnswer: -5\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -379 + 20886?\nAnswer: 2050a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -8\/39*f**3 + 3*f + 0 + 1\/273*f**7 - 1\/39*f**6 + 3\/65*f**5 + 0*f**2 + 2\/39*f**4. Factor u(a).\nAnswer: 2*a*(a - 2)**3*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {w: 12, o: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*x + 300 = 379*x. Suppose 72*p - 66*p = x. Let v be 3\/((-3)\/(-20)) - 0. Solve -b - p = -2*s, 0*s + v = 2*b + 4*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 = 3*d. Suppose d*k + k - 4*t = 4, 0 = -2*t. Solve 2*w + 3 = h, -2*w - k = 3*h + 2*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 30, -4, -2\/11?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192829 or -13305166\/69?\nAnswer: -192829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3839174 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 plus -6417832632457?\nAnswer: -6417832632457.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 - 13*x**2 - 8*x - 18. Let p be o(-6). Let g(n) = -n**3 - 4*n**2 - 7*n - 12. List the prime factors of g(p).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4643.04 or -101?\nAnswer: -4643.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75984, 75976, 75968?\n\"Answer: -8*k + 75992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 428. Let g(l) = 8*l. Give g(c(k)).\nAnswer: 8*k + 3424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 4*j - 1. Let i = 23 - 19. Let h be n(i). Which is the nearest to 0.1? (a) 1 (b) h (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1812\/222241 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d)**(-13\/3)\/(d**(2\/5)*d\/(d*d**(-2\/9)))*((d**5)**30)**19 assuming d is positive.\nAnswer: d**(128222\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/25 + 192296\/(-1300) - (-8 - -6)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -586753\/9 + 65195. Let g = 0 + 2. Put g, 1\/4, x, -1\/16 in increasing order.\nAnswer: -1\/16, x, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4150\/36 + 6\/81*3. Let c = y - 113. What is the smallest value in c, 0.2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/8 + 6\/24. Let j = -2 + q. What is the third derivative of t**4 + 3*t**2 + j*t**2 - 3*t**2 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 2*r**3 + 7)*(187*r**2 + 201*r**2 - 630*r**2) - 3*r**5 - 4*r**5 + 5*r**5.\nAnswer: 482*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {k: 3, r: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -37 + 25. Put -5, 1\/11, i, -2\/9 in decreasing order.\nAnswer: 1\/11, -2\/9, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228*b**3 + 627*b**3 + 595*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 386964837 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/11 - (-556)\/(-1529). Let i(y) be the third derivative of -15*y**c - 1\/24*y**4 + 0*y - 1\/6*y**3 + 0. What is i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32038060 and 536?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 0*n - 5*n)*(-n**3 + 4*n**3 - 2*n**3) + (3*n**2 - 4*n + 4*n)*(-2*n + 2*n + 3*n**2).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.042778, 0, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 less than 388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, b: 3, p: 5, q: 2}. What is prob of sequence qpp?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1995*k + 1645 - 1645)*(0 + 3 - 4) as r*k + w and give r.\nAnswer: 1995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/(-28) + (-25944)\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -20. Let y be ((-3)\/s*(-2 + 0))\/(-1). Solve m - y = -0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -33 + 39 + 9 - 28*m + 8. What are the prime factors of c(-3)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 408540*f**2. Let a(v) = -2*v**2. Calculate b(a(y)).\nAnswer: 1634160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 4\/3, -0.4, -1\/6, 1, 849?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1027 (b) 1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38\/13*p**3 - 42\/13*p**2 + 18\/13*p**4 - 120\/13 - 2\/13*p**5 + 184\/13*p = 0. What is p?\nAnswer: -2, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*p + 2*p + 2 = 0, 0 = -4*b - 4*p + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - p + 7 = 0, 7*t - 5*p + 5 = 2*t. Let z(f) = -f**3 + 2*f + 2*f**2 + 1 + f + 1 - 2*f. What is z(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 14, b: 5}. What is prob of sequence pbb?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24220021 - -320?\nAnswer: 24220341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 413*q - 16521. Calculate v(-48).\nAnswer: -8217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -309*q**5 - 2*q**2 + 614*q?\nAnswer: -6180*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 16*s**2 - s - 21. Let y be i(-16). Let o = y + 2. Sort 1, -7, o in decreasing order.\nAnswer: 1, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -670, -150 in increasing order.\nAnswer: -670, -150, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(540\/9))\/(2\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 75026, 75021, 75004, 74969, 74910, 74821, 74696, 74529?\n\"Answer: -i**3 + 2*i + 75025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/296208 and -145\/1909116.\nAnswer: 1428018768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 19. Suppose -6*y - 7*y - 195 = 0. What is c(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840850380?\nAnswer: 2, 3, 5, 43, 108637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*a - 6794 = -2*a, -3*f - 4*a + 6784 = 0. List the prime factors of f.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -533*o**4 + 1890*o.\nAnswer: -6396*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 4*h - 7*h)*(0 + 5 - 4)*(0 + 9 - 2) + (-5 + 2 + 2)*(-4*h + h - 5*h) + 0*h - h + 3*h + (-2 - 1 - 2)*(h - 2*h + 0*h).\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in 0.6, -5, -1\/22, 33?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152130?\nAnswer: 2, 3, 5, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 250\/(-75)*(-3)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-3)*w*w\/(w\/w**(-4\/5))*w*w**(10\/3)*w**(-4\/11) assuming w is positive.\nAnswer: w**(358\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -6, -19, -48, -99, -178, -291?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35072 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and ((-5)\/2)\/(106\/(-848)).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycyyhyyyccyyybybyyby. Give prob of sequence byyy.\nAnswer: 143\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k = 34*k + 118*k + 1485 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179*t**3 - t + t + 0*t.\nAnswer: -1179*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03377902749 to 6 decimal places.\nAnswer: 0.033779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 8:04 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(4*d - 2*d - 3*d)*(-1278 + 1150*d**3 + 1278) as f*d**3 + y*d**2 + a + s*d**4 + x*d and give s.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/14 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8325504 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 34 + 97 = 0. Suppose 10*s + 6 = 9*s + 3*l, -l - y = -4*s. Solve -3*a + i - 2 = 0, -s*a - 5 = a + i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -1\/8*n**4 + 8*n**2 + 0*n - 1\/120*n**5 + 0 + 11\/6*n**3. Let l(i) be the first derivative of q(i). Give l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529026 + -5.\nAnswer: 529021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j - 12. Let k = j - 1. Find the common denominator of 49\/11 and (-246)\/(-56) - k\/8.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13421760 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4744 - -11de?\nAnswer: 5922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*x + 409*x - 176*x)*(x**2 + 2*x**4 - x**2).\nAnswer: 838*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**2 + 2*b - 1. Let f(v) = 30*v**2 + 7*v - 3. Let d(k) = -2*f(k) + 7*m(k). Suppose -19*h = -84*h + 65. Calculate d(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/15, -12, 142, -1\/57, -4?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/105 or 477267?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 60, 101, 150, 213, 296, 405, 546?\n\"Answer: z**3 - 5*z**2 + 47*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 19. Let t(v) = -v**2 - 5*v + 3. Let f be t(-5). Let b = 10 + f. What are the prime factors of y(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(-66*t + 922 - 922).\nAnswer: -264*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + -3 + 8 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -164.71 smaller than 34\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 6*j + 68. Let t be q(0). Suppose -3047 = 57*p - t*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v**2 + 3*v**2 + 3*v**2)*(0*v - 4*v + 2*v) + v**3 + v**3 + v**3)*(94*v - 94*v - 254*v**2).\nAnswer: 762*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3215 - 2257. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 - 132587*j**2 + 2319677*j - 1126692 = 0. What is j?\nAnswer: 1\/2, 17, 66276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*o = 4*o - 8, 19 = 3*s - 2*o. Let j(i) = -100 + 9*i**3 + 12*i - 91 + 196 - 5*i. Let d(t) = 13*t**3 + 10*t + 7. Calculate s*d(p) - 7*j(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26922 and 222166?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 13*s**2 - 10*s**2 + 45*s**2 - 9*s**2.\nAnswer: 43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 402865, 402861, 402857, 402853, 402849?\n\"Answer: -4*j + 402869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*g + 6*g. Suppose -9 = -3*l - 4*k + 6, l - 2*k - 5 = 0. Suppose l*h = h + g. What is the greatest common factor of h and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 4, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3\/4 + 2400*h**2 + 1920000*h = 0.\nAnswer: -1600, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -17 + 32. Let q(y) = -5*y**3 - 21*y**2 - 147*y - 339. Let w(f) = 4*f**3 + 21*f**2 + 147*f + 340. Let j(h) = p*q(h) - 4*w(h). Factor j(m).\nAnswer: -(m + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 50, -2, -1, 1 in decreasing order.\nAnswer: 50, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 - 2*o**2 - 4. Let g be i(2). Suppose -4*y = -g*c + 11536, 0 = -3*c - 0*y + y + 8642. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 11*k + 3. Which is bigger: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362825 - 54269 = 122*s - 16574. Calculate the highest common divisor of 1495 and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (546\/(-24))\/((-420)\/(-240)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1*3)**2 + 4*sqrt(3)*1 + -2 + -5 + 4.\nAnswer: 4*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/3)\/((-3)\/(-243)) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10722 = 10723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*a**3 + 174718*a**2 - 15*a - 141624239?\nAnswer: -207*a**2 + 349436*a - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12\/7)*(k\/(k\/k**(-37)))\/k assuming k is positive.\nAnswer: k**(-278\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -3*sqrt(539) + 3 + sqrt(539))*-1*2*1 + 0)**2*-2.\nAnswer: -4384 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.47, -2\/7, 1\/8, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 18*h + 15 = -6*r - 16*h, h + 3 = r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 115.\nAnswer: -48\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.3 - 42380590.\nAnswer: -42380608.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**0))\/s)**(-8\/13))**47\/((s**(-1\/2))**(-21)*s\/(s*s**(-6))*s\/s**(2\/3)) assuming s is positive.\nAnswer: s**(943\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 take away -3.2?\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.327269796148 and 9.6.\nAnswer: 9.927269796148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 532 - 221. Let s be -13 + 76788\/90 - (-8)\/10. Let r = s - x. Round r to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/2)*z*z\/(z*z\/(z*z*z**6))*(z**(-2))**5 assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5375922, 5375919, 5375916, 5375913, 5375910, 5375907?\n\"Answer: -3*r + 5375925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -198. Let u be ((-416)\/d)\/(-2 + (1 - 1)). Factor -4\/3*v**2 + 0 - u*v.\nAnswer: -4*v*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. Suppose -2*b - f*s + 0 = -4, -3*b + 6 = 3*s. Suppose -2*c + 58 = 4*w, -3*w + 12 = -2*w - b*c. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -959044, -1916002, -2872950, -3829882, -4786792, -5743674?\n\"Answer: g**3 - g**2 - 956962*g - 2082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpchprcchhphcrchp. Give prob of sequence pp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001933 rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16345 + -653723\/40. Calculate the common denominator of -127\/36 and m.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 5*f + 2. Let y be w(3). Solve y*j = 5*k - 10, j = 5*k - 6*k - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:50 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1044, -4816, -11094, -19872, -31144, -44904?\n\"Answer: r**3 - 1259*r**2 - 2*r + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -298 + 298.2. What is the nearest to 2\/7 in t, -53, 1\/7, -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 1\/5 (c) 123 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25776 - -25925. Calculate the smallest common multiple of 4 and r.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 22*v + 35. Let k be s(-18). Suppose -103*r + k*r = 8. Solve -3*f + 2*g + 32 = -r*g, 10 = -2*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.02 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1169 - -1173. Let c = -4.1 - -0.1. Sort -1\/3, c, 2, p in ascending order.\nAnswer: c, -1\/3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4432*l**2 - 11135*l.\nAnswer: 8864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 4*q**5 + 3*q**5 + (q**2 - 2*q**2 + 4*q**2)*(0*q**2 + 2*q**3 + 0*q**2).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i + i + 0*i)*(-i - 2*i + 2*i) + 2*i**2 - 2*i**2 + i**2 + (0 + 4 - 5)*(-i**2 + 2 - 2) - 7*i**2 + 129 - 129)*(2*i - i + i).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87258121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + (-1624)\/(-154) - 94\/11. Let r(d) = -11*d - 17. Let n(z) be the second derivative of 2*z**3\/3 + 3*z**2 + 2*z. Calculate j*n(l) - 3*r(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 471 + 5?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1365, 4027, 7855, 12843, 18985?\n\"Answer: -h**3 + 589*h**2 + 902*h - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*b**2*t**2 + b**2 + t**4 + 251 with respect to t.\nAnswer: 22*b**2*t + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*r = 8*r - 13, -5*t + 14 = 4*r. Let -1\/3*v**t + 1\/3*v + 2\/3 = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 71. Let b(p) = 24. Let t(k) = 7*b(k) - 2*l(k). Let u = 706 + -695. Let q be t(u). Solve 0 = q*o - 12 - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1805461, 1805312, 1805163?\nAnswer: 1805014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**3*w**3*x - 44*u**3*w**2 + 4*u**3*w*x - 68*u**3 - 2*u**2*x + u*w + 2*w**3*x wrt w.\nAnswer: 18*u**3*w*x - 88*u**3 + 12*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267 and 14625993.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/(-2 + -1). Suppose 6 = 2*l - 0, 0 = -2*u + l - 9. Let b = u - -7\/2. Do i and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2599664*q**4 - 2493769*q**2 wrt q?\nAnswer: 62391936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 + 6*o**2 + o. Suppose 0 = -5*p - 2 - 8. What are the prime factors of l(p)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*-1 + 5.\nAnswer: -8*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**5\/20 - w**4 + 2*w**2 - 223*w. Calculate g(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*f = 16 - 54, -34 = 3*c + 5*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 616 = v. What is the remainder when v is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1675 + 2758. Suppose 97*q = 101*q. Suppose -2*g + 4*p + 280 = q, 5*g + 390 - k = 3*p. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 - 7*z - 8. Give f(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-3)*(-9)\/(-51). Let m(y) = y**3 + 6*y**2 + 5*y + 6. Let j be m(-5). Suppose 7*i - 1 = j. Which is greater: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00425042314 rounded to six dps?\nAnswer: -0.00425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 15 - 37)*(2*j - j - 2*j).\nAnswer: 93*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*s - 3*s**3 - s**3 + s**3 + 29*s - s**2 + 7*s**2 as a*s + g + t*s**3 + k*s**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -6 + 8 - 3. Solve -8*s = -g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3462 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:16 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25509 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 17*u - 4*w, 300*u = 296*u - 5*w - 69 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -6) + 2 + 0 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*d = 14*d + 136. Let l be (-5 + d)*(-6)\/12*30. Solve -12*m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -210420 + 1?\nAnswer: -21041c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-2)*6051864\/(-468).\nAnswer: 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98481014609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 3:52 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 - 0.1. Suppose 0 = 8*q + 13 + 27. Sort -4, c, q in ascending order.\nAnswer: q, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 2, d: 1, g: 1, o: 1, n: 8}. What is prob of picking 1 d, 1 o, 1 p, and 1 n?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 26.7. Let x = -3 - k. Round x to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 8:43 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 934, 1976, 3388, 5164?\nAnswer: 7298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 298008 and 993360?\nAnswer: 2980080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6694.95kg in tonnes?\nAnswer: 6.69495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149085969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(-15 + 19 + 50)*(-m**4 + 3*m**4 - m**4 + (1 - 1 - 6*m)*(2*m**3 - 3*m**2 + 3 - 3)) to b*m**3 + r*m**2 + o*m**4 + l*m + p and give b.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/11)*y**(-5) assuming y is positive.\nAnswer: y**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = -4*l + 2*m, 5*l + 13 = 3*m. Suppose 2*r + 0*u + 4*u = -6, 4*r = -5*u - 3. Let g = -17 - -21. Sort l, g, r in descending order.\nAnswer: g, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 2*g + (-2*g - 8*g + 4*g)*(-1 + 0 + 11))*(47 - 47 + 10*g).\nAnswer: -590*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2684 - 1843. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k = -7*k + 6804. Calculate the greatest common divisor of k and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1006 and -1007 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/748)\/(2\/(-1)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -62, 1\/7, -1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/3446496 and -67\/12637152?\nAnswer: 37911456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -394*z + 8580. Let f be b(15). Are 6\/7 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141711447 to the nearest one million.\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 5778*o**2 - 4193310*o + 29070734.\nAnswer: -2*(o - 1441)**2*(o - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/7, -4, 8\/159, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10*d**4 + 9*d**2 + 2*d - 4. Let y(j) = -j**5 + j**2 + 1. Let q(b) = r(b) + 4*y(b). Find the third derivative of q(p) wrt p.\nAnswer: -240*p**2 + 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**4 - 2*h**3 - 2*h**2 - 2. Let c(l) = 7*l**4 - 10*l**3 - 67*l**2 + 88*l + 132. Let g(u) = -c(u) + 6*o(u). Find f such that g(f) = 0.\nAnswer: -9, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1\/3)*k*k)**(2\/103))**14)**(-2\/9) assuming k is positive.\nAnswer: k**(-616\/2781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 54*w - 291. What is the least common multiple of d(15) and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1805 - 25309\/14. Let a = -251\/28 + g. Calculate the common denominator of a and 110\/8*(-4)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41, 61, 87, 119, 157, 201?\n\"Answer: 3*l**2 + 11*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 - 225\/20*-6. Suppose -3*f - 29 = 115. Let q = f + m. Solve -2*n = -q + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7009.96 kilograms in tonnes?\nAnswer: 7.00996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2431467 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5\/3 - 1061*i**4\/6 + 1577*i**3\/2 + 94175*i**2\/3 + 154700*i\/3 = 0.\nAnswer: -10, -7\/4, 0, 17, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 2*q + 3537. What are the prime factors of q?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let y(v) = 47*v. Give y(x(j)).\nAnswer: -47*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.534\nAnswer: 4.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -105952 divided by -4816\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 475*w - 19. Let y(d) = -155*d + 6. Give 2*n(v) + 7*y(v).\nAnswer: -135*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*l*m + 210*h*l + 12871*m - 341 wrt m.\nAnswer: 3*h*l + 12871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - (-6 + 9)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47\/6 + (-13)\/(-78). Let y(x) = x**3 - 9*x**2 + 10*x - 10. Let k be y(t). Solve 3*j = k*j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22769*k*t**5 + 3877*k*t**3 + 20*k*t**2 + k*t + 5*k - 2921*t**2 - 34 wrt t?\nAnswer: 1366140*k*t**2 + 23262*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/9 + 45\/162. Which is the closest to 0? (a) 3\/2 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfi when three letters picked without replacement from miqmmqmimqiqmqf?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:05 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440)\/sqrt(32))\/(sqrt(15)\/sqrt(3)*2))**2 - (sqrt(110)\/(sqrt(10) - sqrt(10)*2) + -3)**2*4) + -2.\nAnswer: -1301\/16 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + 3.3. Let a = -0.41 - -5.41. Let j = a - p. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6550.6827 to the nearest 10.\nAnswer: 6550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000096244172 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:41 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -0.02223244?\nAnswer: 1.97776756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 231704603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 0, -2 in ascending order.\nAnswer: -119, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -2\/17, -2\/5, 3914 in descending order.\nAnswer: 3914, 3\/5, -2\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26595 and 21.\nAnswer: 186165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-6 - -25 - -10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n**3 - 21*n + 21. Let j(d) be the first derivative of d**4\/4 - d**2 + 2*d + 1359. Determine -42*j(y) + 4*z(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9*10\/(-1590))\/2)\/((-3)\/6). Is x > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 4299?\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4 = -5*t + t, 4 = 4*t + 4*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 92 times 37\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -j + 5*j. Let s = 25 - j. Suppose 103 - s = 5*w. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5 + 1304*w**4 - 30934*w**3 + 79380*w**2 + 730296*w + 874800 = 0.\nAnswer: -675, -2, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 24 + 16 = 0. Suppose -m - 4 = -5*m + 2*l, -4*l + 28 = r*m. Suppose m*a = 589 - 43. What is the highest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f**2 + 8*f - 19. Let v = 26 - 21. Suppose 4*a + 3*d = 5*d + 24, 0 = -3*a - v*d - 8. Does 33 divide m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5\/3 + 74*v**4\/3 + 5*v**3\/3 - 23258*v**2 + 156864*v - 133632 = 0?\nAnswer: -29, 1, 6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 7\/6 (b) 3\/52 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u + 3. Let y = 11 + -14. Let b be -6*y\/24*4. Is x(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3674 - 2842. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839464 is divided by 6218?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5, 4*z = f - 2 + 11. Suppose 4*v - 64 = -20. Suppose d - 5*x + 1 = -v, 4*d - 18 = -2*x. Sort z, 0, d.\nAnswer: 0, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/15 and 103\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*k - 322 - 10 = 0, -2*l - 3*k = -140. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/40 - (251\/(-4) - 2). Suppose -28*t + 47 = -c. Solve 3*b + 8 = 5*g, 28 = 5*b + 6*g - t*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6360 and 113\/20?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 752 and 46448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 35, 49, 89, 161, 271, 425?\n\"Answer: g**3 + 4*g**2 - 25*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*-8.823.\nAnswer: 352.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*s**3 - 10*s**2 + 437*s.\nAnswer: 120*s - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21945, -84301, -146659, -209019, -271381?\n\"Answer: -u**2 - 62353*u + 40409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 9*j**2 - 12*j - 6. List the prime factors of d(-8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/12 + 5*x**3\/6 - 2*x**2 - x + 2. Let d(s) be the first derivative of z(s). Let u be d(4). Solve u = 2*g - 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 7*b - 3. Suppose -2*t + 3*j + 12 = 0, 0*j + 8 = -4*t - 2*j. Suppose 0 = -x + 2*y, 4*x + 20 = -t*y + 3*y. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*g + 153*g - 156*g + 2484 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (34 - -31) + (-125 - 20)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 11*f - 10. Let q be n(12). Suppose -215 = -q*r - 3*r. Let z(m) = m**2 - m - 5. Calculate the remainder when r is divided by z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -502*o*p - 14*o + 112248*p wrt o.\nAnswer: -502*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((3 - 2)\/4). Let l be (-3 + -1)\/u*-4. Suppose l*i - 237 = i. Calculate the remainder when i is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((10\/(-1))\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(8\/(-3) - -1). Let q(h) = -h**3 - 33*h**2 - 31*h + 35. Let g be q(-32). Find the second derivative of 5*l**3 - p*l**3 - l - 5*l**g - 6*l**3 wrt l.\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 935698 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342 + -270. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/(-4)*(-20)\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*w - 7125, -n + 3615 = 3*w + 39. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.9. Let b = -11 - -13. What is the smallest value in b, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 2:23 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2585 and -61\/32230.\nAnswer: 1514810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, 278, 1176, 2420, 4010, 5946?\nAnswer: 8228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 14 = j, 3*q = -q - 20. Let u be (6 + 1 - j) + 1. Let i(y) = 4*y**2 - 7*y**3 + 2*y**3 - 2*y - 1 - 4*y**3 + u*y**3. Give i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 425, 345, 213, 29, -207, -495, -835?\n\"Answer: -26*z**2 - 2*z + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11612388167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 492 in -0.3, -4, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*q - 3*l, -q = 5*l - 8 - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - x**2)*(9 + 2*x - 9)*(-2 + 2 + 1).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2242 + 2241. Put 2\/15, a, -69, -0.2 in decreasing order.\nAnswer: 2\/15, -0.2, a, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 30*h**2. Let t(r) = 18*r. What is z(t(o))?\nAnswer: 9720*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2976190 and 21182?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 4 + 8 - 11. Let q(p) = 2*p - 1. Determine 5*q(j) + 6*z(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1862? (a) 0.029 (b) 0.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13405 + -3?\nAnswer: -13408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130344 + 3?\nAnswer: 130402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, -0.2, -1, -0.01, -16\/5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6519 - 39001\/6. What is the common denominator of -54\/5 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573.82 - 102\nAnswer: -675.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*o - 2*n, -5*n - 49 = -1146*o + 1138*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let x = -4 - y. Let v = 5.00000016 + x. What is v rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.98193703 to 2 dps.\nAnswer: -4.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/119 - -72\/119. Let x = -715 + 710. Sort g, -0.1, x in decreasing order.\nAnswer: g, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 11\/3, -910104, 1\/2 in descending order.\nAnswer: 11\/3, 1\/2, 1\/3, -910104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29593571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*3\/(-9)*(-1 + -11). Sort y, -9, 31 in decreasing order.\nAnswer: 31, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16)\/((v*v**(1\/12))\/v))\/(v**(-2\/3))**(-7) assuming v is positive.\nAnswer: v**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o = -30. Suppose -q = -f - 15, 3*q - 2*f - 66 = -2*q. Suppose 0 = g - q + 2. Calculate the lowest common multiple of g and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3863.27 decades in months?\nAnswer: 463592.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 12139.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k**3 + 70*k**3 - 42*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1406 - -1405 - (-1 - -34).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*y + 0 - 10 = 0, -5*y + 26 = 4*j. Solve 2*t = c + 1 + 3, 3*t - 17 = -j*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88 in -2\/17, 4\/7, -28, 5.09, -0.22?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 14*k**2 - 3*k**3 - 5*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-182) + 36\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 601*m**2 + 863*m + 678. Calculate k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*r + 475*r + 28016 = -135*r - 410*r for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105865417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 24*c**3 - 54*c**2 + 48*c - 15 = 0. What is c?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59167.\nAnswer: 59167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/20 - 5*a**4\/12 + a**3 - 5*a**2\/2 + 346*a. Determine i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5 - 28*t**4 + 40*t**3 + 72*t**2 - 108*t - 108 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 36 - 9. Solve m + 10 = 5*k + 6*m, -m - 6 = -b*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 182*u**2 + 2803*u - 2658. Give o(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -1658, -4905, -11228, -21653?\nAnswer: -37206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*c*q**4 - 4*c*q**3 + 392*c*q**2 - 2*c*q + 2*c + 53520*q**3 + 14000*q**2 wrt q?\nAnswer: -1608*c*q - 24*c + 321120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -40. Suppose -g*u = -0*u - 12. Sort -3, u, 2 in descending order.\nAnswer: u, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1857899, -1857893, -1857885, -1857875?\n\"Answer: j**2 + 3*j - 1857903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 4 + 4 + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(20)\/sqrt(2)))\/(6*sqrt(98)) + 0 + 1 + (-2 + sqrt(539) + sqrt(539)*-2)**2.\nAnswer: 1177*sqrt(11)\/42 + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -51. Suppose -4*l = 4*t - 13 - 35, 3 = l + n*t. Suppose 5*g = 7 + 13. What is the smallest common multiple of g and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(104) - sqrt(104)*2))\/sqrt(8).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 + z**3 - 15*z**2\/2 - 48*z - 2. Let p be i(2). Put -6, p, 2 in decreasing order.\nAnswer: 2, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9448, -3 in ascending order.\nAnswer: -3, 5, 9448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 18*q = -50. Let j = 90 - -587. Suppose 0 = -3*v + 2*h + j, -3*v + 0*v + h + 676 = 0. What is the highest common factor of v and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74304 and 50112.\nAnswer: 2154816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 69. Let f = 7 - x. What is the remainder when 23 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-48) + 5*(-4)\/(-120)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**3 - 2*c**2 + 3*c - 19. Is z(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 32. Suppose 0 = 3*m + 2*u + t, -4*m - 1 = u + 3. Suppose 4*d + d - 125 = m. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -179*h**3 - 18*h**2 + 13*h - 15. Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 + 1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-76)\/5 + 6)*15\/(-102).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 809\/10. Let u(o) be the second derivative of 0 + 3*o + 0*o**2 + 1\/3*o**3 + 0*o**4 - y*o**5. What is j in u(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4896948 and -83\/353388.\nAnswer: 34278636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 10*f - 136. Determine m(10).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/3 + 9382*g**3\/3 - 263154*g**2 + 14430218*g\/3 + 15229060\/3 = 0. Calculate g.\nAnswer: -4774, -1, 29, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 7. Let g = -22 + 81. Let n be g - (-3 - (d + 2)). What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 4*q + 3. Let k be x(-2). Factor 4*z**4 + z**k - 5*z**2 + 2*z**2 - 5*z**3 - 5*z**2.\nAnswer: 4*z**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Solve 6 = z + c*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27856900?\nAnswer: 2, 5, 47, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248 - 183. Let u(v) = -a*v + 1 - 66*v - 68*v + 197*v - 2*v**2. Suppose -2 = -l - 1. Determine u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/21*-1*21\/(-135). Let u(o) be the first derivative of -m*o**3 + 2 + 1\/5*o**2 - 4\/15*o. Determine i, given that u(i) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = -2*v - v, -v = 4*b + 3. Let u = -4 - b. Which is greater: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j = 54*j - 77 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 7:56 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12502931 rounded to four dps?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 12*m + 5*d - 230, 3*m - 46 = 21*d + 44 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2. Let f(s) = -12*s**2. Let n(o) = -9*c(o) - 6*f(o). Let k(z) = -z. Give k(n(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/4112 and 85\/704.\nAnswer: 180928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - 0.11. Let b = w - -0.08. Let k = 4.98 - b. What is the closest to 1\/4 in -2, -3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a century in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 - 0.04. Let j = y + 2.92. Let k = j - 3.2. Which is the closest to -1? (a) k (b) -2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Suppose -k - 3 = -5*b - 1, -w*k + 14 = 5*b. Is (28\/(-8))\/(b\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.27+721609\nAnswer: 721601.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*c**2 + 97*c**2 - 190*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)*1*-53. Let k = j + 207. What is the remainder when k is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6100*r**4 - 2*r**2 + 3058211*r wrt r?\nAnswer: 73200*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8694 divided by 2\nAnswer: 4347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442985.\nAnswer: 5, 19, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - d + 4, 2*n + 9 = 5*d + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414\/(-759)*1\/2.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 15 (b) 0.1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1138 - -53485\/47. Let g = 5\/462 + 12\/77. What is the biggest value in g, a, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**5 + 120*v**4 + 220*v**3 - 2430*v**2 + 1225*v + 3750 = 0?\nAnswer: -5, -1, 2, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 - j**2 - j**2)*(-2*j + 4*j + 5 + 4*j) in the form g + v*j + h*j**3 + i*j**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*i - 35, 2*h + 3*i = -3*h - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21791*p**2 + 2*p + 21789*p**2 - 23 + 0*p + (-p + 3*p - 4*p)*(-3*p + 5*p - 3*p) - 2*p**2 - 6*p**2 + 0*p**2.\nAnswer: -8*p**2 + 2*p - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + w**2 - 2*w + 2. Let l be b(3). Let o = 62 - l. Calculate the lowest common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24591210 divided by -5?\nAnswer: 4918242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1241*a**2 - a + 2690.\nAnswer: -2482*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (279 + 14*l**2 - 279)*(-l + 3*l**2 + l) to c*l + d*l**3 + h*l**2 + o*l**4 + y and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-196)*4\/(-3)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 327024959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -53*b**3 - 26*b**2 - 40*b + 144. Is i(-37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 196\/(-70)*(-111)\/518?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 7 + -9 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 1\/2*-2. Let u = 588 - 586. Solve 4*q = 4, -f = -u*f + t*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 90060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1764 and -9\/7?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1334, -1347, -1360, -1373, -1386?\n\"Answer: -13*v - 1321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 2*u**3 + 2*u**2 + u**2)*(28 - 3 + 48) to n*u + t + o*u**3 + m*u**2 and give m.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 55*j**4\/24 + 5*j**3\/2 - 25*j**2. Let s be t(3). Calculate the highest common factor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (4 - (1 + -5713)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3\/2 + 159*h**2\/2 - 1092*h + 1014 = 0 for h.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(99\/(-8))*156\/(-208)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 544, 566, 626, 742, 932, 1214, 1606, 2126?\n\"Answer: 3*y**3 + y**2 - 2*y + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1048841, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(((r\/(r**(-6)*r*r)*r*r)\/r)\/r)\/r*r)**(-2\/7)*r\/r**(-2\/13)*r**11*r assuming r is positive.\nAnswer: r**(1041\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36924 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**7\/70 + p**4\/12 - 7*p**3\/3 - 4*p. Let a(g) be the second derivative of s(g). What is the derivative of a(f) wrt f?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/3))**(2\/21)\/(o*o**0*o)**(5\/4))\/(((o*o*o**(2\/17)\/o)\/((o*o\/(o**7*o*o))\/o))\/(o**0)**(-3\/19)) assuming o is positive.\nAnswer: o**(-24545\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*s = -12, -y + 22 = -3*s - 2*s. Suppose 3*a - q = q + 6, -a + 5*q = -y. Solve 0 = u - 4*l + l - a, 3*l + 10 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w + 3. Let v be 24\/w - (-3)\/(-7). Suppose 5*h = -2*t - 14, t = -h - 1 - v. Which is the closest to t? (a) -1\/8 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -5*s**4\/12 + 4*s**3\/3 - 147*s. Determine z so that t(z) = 0.\nAnswer: 0, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95486 times 0.3\nAnswer: 28645.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-152)\/(-6))\/((-2)\/(-9)). Let h(i) = -12*i + 11. Let b be h(4). Let v = f + b. Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 + 137. Let i be (-2 - -10)*l\/10. Suppose -3*u + i*s = 9*s - 324, -4*u - 2*s = -432. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4918.000002793 + 4918. What is n rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14841256*-8\nAnswer: 118730048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 500\/40 + (-36)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30279765, 30279839, 30279963, 30280137?\nAnswer: 30280361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*k**2 + (-2 + 2 + 2*k)*(-2873*k - 4305*k + 8112*k + (-4 + 5 - 3)*(-2*k + 3*k + k)).\nAnswer: 1857*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1152 and 143\/19584?\nAnswer: 19584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 11*d - 29. Suppose 0 = 5*f + 311 - 271. Let u be w(f). Let i = 0.3 - -0.2. Which is the third smallest value? (a) u (b) i (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 14}. What is prob of picking 1 b and 1 t?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2834035 divided by 6.\nAnswer: 2834035\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:16 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42811 by -208.\nAnswer: 42811\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*v - 21, -4*v + 24 = 2*o - 38. What is the remainder when (-66)\/(-1) - (3 - -12) is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2411 - 2409. Solve -4*v = t*v - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -14.545.\nAnswer: -14.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 666*h**3 - 5*h**2 - 2*h - 3. Let i be q(4). Let f be (4\/(-14))\/(4\/i). Let v = f + 3040. Calculate the common denominator of v and -49\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*b + 20 = -2*b, 5 = -g - b. Let z(u) = -40*u - 194. Let j be z(g). Solve -4*l - 5*w + 4 = 0, -j*w + 2*w = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 - t - 5. Let k(i) = 8*i**2 - 3. Let g(y) = -5*k(y) + 6*q(y). Let b be g(6). Solve 0 = -5*w + b - 26 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 + w**4 - 9*w**4 + (-16*w - 18*w + 9*w)*(3*w**3 - 2*w**3 + 0*w**3) in the form k*w + c*w**3 + o*w**2 + s + y*w**4 and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-226 - -233) + (-25 - 0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -270 - -302. Let s = -31 + w. Which is the fourth smallest value? (a) -1\/4 (b) 1\/9 (c) -1\/3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - 3. Let h(n) = -n + 5. Let s(r) = -1. Let j(t) = -h(t) - 4*s(t). Let f(k) = -2*i(k) + 5*j(k). Let q(c) = -2*c + 3. What is 5*f(u) - 2*q(u)?\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/120 - 4*s**3\/3 + 6*s**2. Let y(b) be the first derivative of q(b). Let k(l) = -37*l**2. What is k(y(r))?\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38457 is divided by 9551?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 126951*u**2\/2 - 42305*u\/4 - 1\/2 = 0. What is u?\nAnswer: -2\/42317, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 4, -4, 1, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -s + 1 + 1, 2 = s + 5*t. Let w = -1 + 1. Solve w = -s*k + 3*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 18*b - 2. Let n(p) = p + 1. Let l = -364 + 363. Give l*a(o) - 2*n(o).\nAnswer: o**2 + 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*r + 6*r - 19*r)*(2 - 3 + 2)*(-2 + 5 - 1) as t + f*r and give f.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/2, 0.5, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -246310 at least -246315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 44 = -3*m, 4*m = 4*z + 25 + 39. Suppose -16 = 4*q + m. Sort q, 3, -3 in descending order.\nAnswer: 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33714, 67360, 101006?\n\"Answer: 33646*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19014660041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f + 120. Let p be q(11). Let u(k) = -14*k + 6. Let o be u(-6). Calculate the greatest common factor of p and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22763 at most as big as 22763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7972 or -7946?\nAnswer: -7946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.93896 times -330?\nAnswer: -1629.8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4416676, -4416647, -4416600, -4416535, -4416452?\n\"Answer: 9*x**2 + 2*x - 4416687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 978*d + 32870 = 12332 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*s + 8109 - 19629 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gttttgtgtg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 232 + 0 + 1 + 3. Suppose 4*t + 0*t = u. Calculate the remainder when t is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/248 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 + 8 = 0. Let d(b) = b - 6. Give d(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 508.9 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - p - 5 = -4*g, 2*g + 3*p = 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14726 is divided by 508.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -19, 18, 5, -6 in increasing order.\nAnswer: -19, -6, -4, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*c = 20, 9 = 4*k - 2*c + 13. Solve k*l = -18, -l = -5*z + 4*l + 40 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124899 - -124897. Let q = -79\/3 - -26. Which is the nearest to -4\/9? (a) 0.3 (b) 1\/2 (c) q (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2\/15, 3\/7, 5\/6, 182 in decreasing order.\nAnswer: 182, 5\/6, 3\/7, 2\/15, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9396119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (-12 + 20 - -17) - (2 + 4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3\/4, -0.03 in decreasing order.\nAnswer: -0.03, -1\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 1, 4, -1\/1752, -5 in descending order.\nAnswer: 4, 1, -1\/1752, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*x + 4, 2*x - 4*x = -3*n - 3. Let y = 7 + x. Are 1 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o - 2*q, 2*q = 4*o + 7*q - 24. Solve 5*a - 4*s = -o, 0 = 4*a - 3*s + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.036 - -23.536. Let m = -26 + s. Let z = m - -2.50000006. What is z rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/273027 + 1906853\/591922536. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575187031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 2239?\nAnswer: -2239.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:24 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.23, 3\/2, 1\/3, -20, -0.07?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56542 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b07d + 323?\nAnswer: b3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49 + (1 - -1 - 2). Let y be 4\/(-3) + (-4)\/6. Let i = y + w. Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038961 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13693.\nAnswer: 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/30)\/((-8)\/(-2))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61011 - -426211\/7. Let u = -124 - f. Which is the nearest to 2? (a) -0.2 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1. Let p(z) = -2*z**2 + 8*z + 13. Let r = -5 - -11. Let o(y) = r*h(y) - p(y). Is o(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-235 - -243) + -1*-1481*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-21))\/((-1)\/7). Suppose -3*q - g + 6 = -y, -3*q + 20 = -5*y. Put 2, q, -2 in descending order.\nAnswer: 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 11:06 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 21 = -o - 14, 3*o - 5*d = 5. Suppose -o*z + z + t + 25 = 0, -4*z + 21 = 3*t. Calculate the lowest common multiple of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 45. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 2 = -6*z. Let y be (1 - 0)*(6 - 7). Which is greater: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 5, 1 in ascending order.\nAnswer: 1, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 3 - 8 - (-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 91, 1, -8 in descending order.\nAnswer: 91, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -576 + 1341. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + ((-72)\/33 - 3 - 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**3\/57 + 14*d**2\/19 - 81. Let x(c) = 0. Calculate c.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**2*r**3 - 148*k**2*r**2 - 48268*k*r**4 + 2*k*r**3 - 2*k*r**2 + 2*k*r + 303*r**2 wrt r.\nAnswer: -36*k**2 - 1158432*k*r + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7392, -7391, -7392, -7395, -7400, -7407, -7416?\nAnswer: -7427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*g**3 - 231\/4 + 191\/4*g + 39\/4*g**2.\nAnswer: (g - 1)*(g + 7)*(g + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x*y**3 - 2*x*y**2 - 224*x - 13374*y**3 + 6*y**2 wrt y?\nAnswer: 30*x - 80244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1102029 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 5*n + 6. Let k(q) = 13 - q**2 + 12*q - 10*q**2 - q. Let r(l) = -l**2 - 2*l + 2. Let o be r(3). Let m(c) = o*f(c) + 6*k(c). Factor m(j).\nAnswer: -j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23434 + -4828. Suppose g + 122394 = 3*f. Round f to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67682 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -2.9. Let w = 12 + -38\/3. What is the second smallest value in -0.5, w, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -0.4. Let d = -2 + u. Let n = -0.42 - -5.42. Which is the closest to 0.1? (a) -2 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194 = -111*r + 84 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -57. Let s(n) = -80 + x*n**2 + 39 + 41. Let m(j) be the second derivative of -j**3\/3 - 3*j. What is s(m(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -45265123?\nAnswer: -45265142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -40673717.\nAnswer: -40673717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2 (b) -3 (c) 1\/2 (d) 5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-13552)\/1848*270\/363\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22230 (base 4) in base 2?\nAnswer: -1010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 862 - 855. What is the remainder when 300 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 9. Let n be h(-15). Suppose 2*x + 2*z - 19 = -z, 2 = -2*x + 4*z. Sort x, 2, n in decreasing order.\nAnswer: n, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**2 - 225*p = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 - 3*m**3 + 11*m - 53*m**2 - 2 - 25*m + m + 11*m to z + c*m**2 + p*m + g*m**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-195)*-56)\/((-288)\/360).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 27 = 6*i - 3*i, -i = 4. Let y = 1 - -3. Suppose -a*w - y = -7*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/3)*y**14\/y)\/((y**(-12)*y)\/((y**(-16)\/y)\/y)))**(-43) assuming y is positive.\nAnswer: y**(-860\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 10.8. Let r = -13.3 - -14. Let x(k) = -k**2 + 9*k + 3. Let q be x(9). Which is the second smallest value? (a) q (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -607 + 616. Let o(y) = y**2 - 6*y - 2. Let v be o(7). Suppose 6*i**3 - 3*i**3 - v*i**2 - i**2 - d*i = 0. What is i?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w**2 - w**2)*(45*w**3 - 40*w**3 + 64*w**3)*(-8 + 0 + 16).\nAnswer: -1656*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 232774121347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 + 112528430988 - 112528430988.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -33*f**4\/7 - 1689*f**3\/7 + 3159*f**2\/7 - 1119*f\/7 - 318\/7 = 0.\nAnswer: -53, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118965 = 5*c + 2*z + 19007, 2*c - 39980 = -4*z. Is 56 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4 + 8. Let g(m) = 19*m**4 - 20*m + 2. Let k(d) = -d**4 - d - 1. Let f(v) = b*k(v) - g(v). Find the second derivative of f(y) wrt y.\nAnswer: -204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 866413, 1732830, 2599247, 3465664?\nAnswer: 4332081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5\/2 + 18*d**4 - 69*d**3 + 90*d**2 - 75*d\/2.\nAnswer: -3*d*(d - 5)**2*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -10*t - 72. Suppose t*k + 11 = -3*q + 5*k, 0 = -4*q - 4*k - 8. Solve -q*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1777*r = 311*r - 141984 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 373, 570, 769, 970?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*k = 129*k + 180 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 2840930740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*l + 9*l - 11*l)*(-1494 - 340 - 743 - 472) in the form t + z*l and give z.\nAnswer: 36588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1488712 and 4093958?\nAnswer: 16375832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -6)\/(-4 + (-740)\/(-190)). Suppose 0 = -11*q - 8*q + c. Solve 0 = 4*n - 7 + q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.95087 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 7?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1703 - -1700. Is q > 227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 978, 1994, 2984, 3948, 4886, 5798, 6684?\n\"Answer: -13*n**2 + 1055*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 35 = -0*h. Let u = 7 - -9. Suppose 0*j - 5*j = 5*c - 20, j = 4*c - u. Solve -5*d = -h*v + 45, d - v - c*v = -25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -11 + 2 + (-9 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1255 - 421 - 2*n**2 + 11*n - 424 - 419 to p*n + w + x*n**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -30*h - 10*h + 714. What is the remainder when 7279 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 5*y**5 - 50*y**4 + 40*y**3 + 50*y**2 - 45*y = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14959577 and 1306.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/50 + (-28851)\/(-4075) - 67\/10.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0. Let w = 1803 + -1798.996. Let k = 0.004 - w. Which is the closest to y? (a) 0.4 (b) k (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**4\/6 - 2*g - 711. Let q(y) = -2807*y. What is k(q(n))?\nAnswer: -15758498*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3550391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.1, -5, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.2. Let y be (-9 + -1)\/(3 + -5). Let p be 11\/(-9) - (-1 - 0). What is the nearest to p in f, y, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h**2 - 2*h + 4. Let c(m) = -55*m**2 + 4*m - 9. Determine 2*c(r) + 5*d(r).\nAnswer: 25*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/15 - n**4 - 16*n**3\/3 - 33*n**2. Factor o(a).\nAnswer: -4*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496900394 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2514 and 9637.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -99*l**4\/8 - 32*l**3\/3 - 21*l**2. Let w be o(-12). What is w rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/141)\/(4\/(-3055896)*-6). Let c = m + 2709. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353907870 a multiple of 1615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*l + 45 - 22, -4*t - 22 = l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2 - (-5)\/(-10). What are the prime factors of (4\/4)\/(q\/94)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255012 (base 7) to base 12.\nAnswer: 23493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/3 - 44*a**3\/3 - 40*a**2 + 144*a = 0.\nAnswer: -18, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2*n**2 + n**2)*(0*n - 19*n - 19*n)*(-1 - 2 + 5) + 3*n**3 - 6*n**3 + n**3.\nAnswer: 74*n**3 - 76*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 2209 - 3424 = -17. Factor r + 12*q**2 - 2\/3*q**3 - 72*q.\nAnswer: -2*(q - 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*-3*((-2 + sqrt(243))*6 + (sqrt(243) - (sqrt(243) - 2*(sqrt(243) + 4)))))**2.\nAnswer: -13450752 + 497664*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -10, -2, -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*h = -16, 13*h - 33 = -2*y + 18*h. Which is the closest to 3\/5? (a) 0.07 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30762 + 8?\nAnswer: -30756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -5 + (-2 - 1) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227683178 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 10, 32.28, 60.\nAnswer: 0.2, 10, 32.28, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*m - 8*m - 30*m)*(3*m - 2*m - 4*m).\nAnswer: 201*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 364*g - 7257. Determine r(21).\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 736803227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2430 divided by 2430?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 0 = -4*h + 5*c, 5*h - 138*c + 133*c + 20 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/11? (a) -63 (b) 3\/4 (c) -1\/10 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/9889?\nAnswer: -2\/9889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-630)\/((-216)\/12) - 20. Let u(i) = i + 14. Let m be u(-12). Let o be (m\/(-12))\/(4\/6). What is the nearest to o in l, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7423, 683 in descending order.\nAnswer: 683, 1, -7423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -26*x + 1\/20*x**5 + 4\/3*x**3 + 5\/6*x**4 + 0 - 17\/2*x**2. What is the remainder when g(-8) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(1\/5))\/p*p))\/p**(-7))\/(p*p**2)**(-3\/5)*((p\/p**(-8))\/p*p**(-4))\/(p**(-4)\/(p**(1\/7)\/p)) assuming p is positive.\nAnswer: p**(551\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1110)\/3192*20 - -7)\/((-6)\/14)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116004578 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 56*t + 62*t + 74, -2*t = -5*v + 29 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1*261\/24 + -6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2605?\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 50621 + y - 50577. Determine b(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**3 + 3*l**2 - l + 7. Let g(t) = 308*t**2 - 155*t**2 + 7 - 5*t**3 - 151*t**2 - t. Let o(w) = 3*g(w) - 2*k(w). Calculate o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -232 + 212?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9385*k**2. Let h(f) = 25*f + 24. Let o(v) = -31*v - 30. Let u(b) = -5*h(b) - 4*o(b). Determine u(t(z)).\nAnswer: 9385*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 3*v. Let r(h) = 2*h**2 + 62*h - 30. Let c(u) = -5*b(u) - r(u). Factor c(n).\nAnswer: (n - 15)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -2.5. Which is the nearest to m? (a) -1\/3 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c6 - -5c610?\nAnswer: 5ca06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(12\/(-18)) - (0 + 43). Let u = m - -187\/4. Which is the nearest to -1? (a) -1 (b) u (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.374? (a) -7 (b) 3\/2 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p + 5*p + 225*p + 4*p to j + l*p and give l.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.2. Let r = -0.4 - h. Let m = 3.5 + -3. Put r, m, -2 in descending order.\nAnswer: m, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -0. Let q be -20*(148\/(-10) - -5). Suppose s + x*s = q. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558708159.\nAnswer: 3, 43, 71, 61001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 13. Is k*(2 + 0) - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*r = -5*f - 20, -5*f - 19 = 2*r. Sort f, -5, 3, 2.\nAnswer: -5, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 17 = 3*s. List the prime factors of (s\/(-2))\/(2\/(-4)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z + 5 - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 714031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/1200 - 19*x**5\/600 - x**4\/60 + 19*x**3\/15 + 2*x**2 - 2088. Factor l(p).\nAnswer: (p - 19)*(p - 2)*(p + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 3, -3.8, 0.3, 13314?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6375390997627\/229109476 - -61805628\/2221. Let u = q + 14\/1517. Find the common denominator of u and -21\/44.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 11 - 11)*(3*h**4 - h**4 - 3*h**4).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p**3 + 38*p**3 - 69*p**3 + 9*p**2 + 132.\nAnswer: 7*p**3 + 9*p**2 + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((-7 - -7) + (-15 - -6)) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134605 - 16161?\nAnswer: -152766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c**3 - c**2 + 5*c - 5. Let x(u) = 11*u**3 + u**2 - 6*u + 6. Determine 5*x(g) + 6*z(g).\nAnswer: -11*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94, -336, -736, -1294, -2010?\n\"Answer: -79*d**2 - 5*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965 a factor of 96987458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2072547 - -728642.11.\nAnswer: -1343904.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.22 + -2.42. Sort -7, -1, c, -0.4.\nAnswer: -7, -1, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-172 - -170) + (82 + -14 - (-5 - 1))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -64 + 2 - (-8)\/4. Let l = b - -113. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**3 - 11 + 11.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 9:30 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -2184751 and 2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 251, 185, 85, -61?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-6)*2\/15*(352 + -350). What is s in 0 - 16\/9*s + 4\/9*s**3 - m*s**2 + 4\/9*s**4 = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 8)*((4 - 1 - 1)*(-2 + 0 + 4) + 3 + 1 - 3 + 3 + 0 - 1)*(-2 - 4 + 3)*(2 - 3*v - 2)*(-4 + 5 - 2) to the form a*v + g and give a.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (6\/14)\/((-2)\/(-14)). Let o = 4 - 5. Let f be 0\/s - o*19. What is the highest common factor of f and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 - (3799\/551 + (-4)\/(-38)) is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+0.615364\nAnswer: 5.615364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81670 (base 13) in base 15?\nAnswer: 48a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**3 - 5*o**2 - 5*o - 5. Let z(p) = -p**3 - p**2 - p - 1. Let t be 1 + 45 + 0 + -3. Let r = t - 38. What is r*z(f) - i(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - g = 5*v - 12, 5*v - 56*g + 57*g = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 25 + 2*-2. Let l = h - 12. Let y be l\/1*(-4)\/(-14). Which is the closest to 0? (a) -2\/9 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 2*w - 65. Suppose 2*y - w = -2*s, -s - 313 = -5*y + s. Let r(c) = -y + c + 63. Let l(z) = -42*z. What is l(r(b))?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 99.8. Let r = o + -35. Let h = 0.2 + r. Which is smaller: 0.3 or h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*o + 206*o + 20678 = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133746 and 13794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 484, 731, 992, 1273, 1580?\n\"Answer: h**3 + h**2 + 237*h + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1252, 1784, 2316?\n\"Answer: 532*y + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*q - 3*q. Suppose -13*h + 3*g = -8*h - 22, 0 = g - 1. What is the remainder when (-1)\/q - (-273)\/15 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000742030864 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -19, -38, -75, -136, -227, -354?\n\"Answer: -a**3 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6428149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23277562 and 770?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = -304105 + 305233 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a - 463 - 509 = 4*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 16. Let s be (5 + -5)*1*2\/(-4). Suppose s = 3*w - 4*i + 32, i - 23 = -2*w + 4*w. Let y be p(w). Sort y, 1, 3.\nAnswer: 1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 5 + 0 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 - m**2 + 2*m + 1. Let a be 6\/(-4)*44\/(-66). Let k be y(a). Let f(r) = -7*r - 2 - 1 - 1. Let l(q) = -11*q - 6. Give k*f(h) - 5*l(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027449?\nAnswer: 2027449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 97 + 112. Solve -3*u = f + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 13 + 9 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/(2\/10). Let t be ((-4)\/(-2) - v)\/(-2). What is the remainder when 59 is divided by t + 3 + (17 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 475 = 2*n, 4*n - 237 = -k + 698. Suppose 0*t + n = 5*t. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 940.\nAnswer: 439920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/13170 and -543*1\/30 + 9.\nAnswer: 13170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 4*q + 5*q + (-1 + 3 - 1)*(-2*q + 2*q - q) - 2*q + 0*q + 3*q + 2*q - 5*q + 2*q + (0 + 0 + 2)*(5 - q - 5).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 26*p + 5. Let n be u(-26). Let l be (-1)\/(-4) + 14\/8. Solve -m = -l + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19029 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 261011879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2114 = 4*j + 247*j + 898 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.053701113 + -0.0537. Round q to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h - 3*h + 6*h + 8 + h**2. Let k = 28 - 34. Let u be i(k). Solve -u*r = -4*m - 4*r - 30, -2*r = 5*m + 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/11))**(-15) assuming h is positive.\nAnswer: h**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 184. Let o be 1\/(-3) + 7\/12. Which is the second smallest value? (a) d (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3*t + 61 - 22, -4*t = 2*c. Let g(h) = h + 1. Let z(o) = o + 1. Let n(i) = -3*g(i) + 4*z(i). Let k(m) = 5*m + 7. What is c*n(l) - k(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 35*w - 93. Let y be b(-7). Sort 0, y, 89, 1\/9, -2\/3 in increasing order.\nAnswer: -2\/3, 0, 1\/9, y, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57662 and 427223?\nAnswer: 9398906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828 divided by -4?\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(244*n**2 - 15249 + 15249) to t*n**2 + g + x*n and give t.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 3. Let p(u) = 7*u**2 + 5. Let a(k) = -3*p(k) + 5*q(k). Let o(j) = 292*j**2 - 294*j**2 - 44*j + 0 + 0. Give o(a(x)).\nAnswer: -2*x**4 + 44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.2076?\nAnswer: -3.7924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:36 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -255 + 305. Let v = -147.2606361 + 197.260623. Let w = v - y. What is w rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 2.\nAnswer: -85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 754926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108824\/(-7780) + 8 + 6. Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10.4, 3, -10.29, 2?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3, 3, -32941.\nAnswer: -32941, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*s - 204*s + 16725 = 4797 - 9132 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/9*18\/(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35538985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-60))\/(2\/15)*8\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n + 360 + 2*n**2 - 11*n - 2*n.\nAnswer: 2*n**2 + 3*n + 360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y + 23. Calculate i(-8).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 3*b - 4. Let t be a(3). Let s = t - -22. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*f**5 + 2*f**3*x - 68*f**2*x - 3*f*x wrt f.\nAnswer: 2400*f**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 20.76. Let b = s - 5.2. Round b to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (16 - (-40 - -112)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/29, 0.2, -2.8, -5, -1\/8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 - 7*p + 6. Let h be s(6). Let o be (-9)\/12*16\/(-18). Find m such that o*m**3 + h*m + 0 - 4\/3*m**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.9, -7, 4, 0.1, -2\/9, 237 in increasing order.\nAnswer: -9.9, -7, -2\/9, 0.1, 4, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = -2*i + 3*n, -5*i + n + 12 = 0. Suppose -39 = -i*q + 18. Is q greater than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/((42\/14)\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(-104*11\/(-528))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -13, -44, -87, -142?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10696463, -10696417, -10696349, -10696265, -10696171, -10696073?\nAnswer: -10695977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14364 and 4788?\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 205166 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 27462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*y + 104*y + 209*y - 5720 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*i**2 + 6*i**2 - 98*i**2 - 532*i**2 - 208*i**2.\nAnswer: -1173*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47.6797 - -47.6. Let b = -0.08 - l. What is b rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -29, -50, -77, -110, -149?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -3657031?\nAnswer: 18\/3657031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -30*k - 500. Let d be 39\/6 - k\/(-10). Solve -c + c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 0)*(-4 + 3 + 3)*(-14*k + 14*k - 8*k**2) + k - k**2 + 3 - k as x + g*k + i*k**2 and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 44*f**2 + 2*f - 81. Let m be k(44). Suppose 17 = -5*z + 2*n, 3*z = m*n - 4*n - 3. Which is the second biggest value? (a) -0.12 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9239 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 248.10624 hours?\nAnswer: 10.33776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1880 and 216855744?\nAnswer: 1084278720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 15.3?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418345?\nAnswer: 5, 31, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmtynpd. What is prob of picking 1 t, 2 d, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30177, 59909, 89433, 118755, 147881?\nAnswer: 176817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 253997622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 127 + 381. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9628973.194 to the nearest 100.\nAnswer: 9629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 84*z**2 - 576*z + 1280 = 0. What is z?\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**3 - 8*f**2 - 16*f - 3. Let t(p) = -20*p**3 + 24*p**2 + 47*p + 8. Let b(c) = -17*a(c) - 6*t(c). Calculate b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16 - 4 + 20 - 7*f**2. Let l(c) be the first derivative of c**6\/360 + c**3 + 1. Let t(j) be the third derivative of l(j). Calculate t(i(z)).\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1569 and 24?\nAnswer: 12552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1114.6391 and -1924.9.\nAnswer: -3039.5391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107914 and 6861418?\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*m - 2730, -g = 2*g + 2*m - 1622. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 0 + 2 + 2*q**2 + 0. Let p(g) = -4*g**2 - 3. Suppose -2*b + 13 = 3*x, 4*x - 4 = -4*b + 8*b. Let n(d) = b*p(d) + 5*w(d). Differentiate n(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1978 + 4073 - 2095 - 87*x**3 - 65*x**3.\nAnswer: -152*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 2:48 AM?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 5*b**2 - 2*b - 7. Let p be 54\/(-10) + (-2)\/(-5). Let a be l(p). Let q be 1*a\/((-3)\/(-1)). Solve y = -0*y + q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-22)*5992\/16478.\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58653 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.79 - 0.01. Let p = 0.6 + q. Let f = -48.6 + 48.8. What is the biggest value in f, p, -4, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -133\/4. Suppose -b = 3*j - 25, -j + 0*b - b + 9 = 0. Let i be (-1)\/(-5) + j\/10. Is c equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2*-1 - -4. Suppose -4*t = -0*t. Solve t = 5*q - s*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -68, -103, -136, -167, -196, -223?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-4*sqrt(108)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 595 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 25*g**2 + 25*g + 31. Suppose -4*j + 15 = -2*q - 27, -5*q = -j + 24. Suppose x - j = 19. Calculate the remainder when m(24) is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 785.34, -2.7, -0.4?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 8\/9*c**4 + 8\/9*c - 2\/9*c**5 + 8\/9*c**2 - 2\/3*c**3 = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4116274630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 46 (c) 69224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20745 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + 3\/6. Let a = 49 - 11. Let b = a + o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*1490\/5811?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 9. Let g be x(7). Let p = g + 24. Suppose p*f - 4 = y + y, f + 8 = -4*y. Solve 4*h + 8 = -f*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 913*z - 913*z + 47 - 104*z**4 wrt z.\nAnswer: -416*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*k - k - 67, i + 2*k = 24. Let n = i - 4. Is 16 a factor of (-4)\/n - (-7 + (-6175)\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28806.\nAnswer: 2, 3, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12b01 - 5?\nAnswer: -12b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 73 = 29*z + 13. Let s(p) be the second derivative of 0 - 5*p**z + 3\/2*p**4 + 0*p**2 - 14*p. Find the second derivative of s(u) wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from awssvsawwakkwjskv.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/13 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -46a (base 12) to base 11\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 10:48 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, v: 12}. Give prob of sequence vh.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127172697 to the power of 1\/2, to the nearest integer?\nAnswer: 11277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 347 (base 13) to base 9\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let w = -1 - -2. Let h = 3\/4 - 31\/52. Which is the nearest to w? (a) -3\/5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16144 = 594*c - 177*c - 1745 - 5880 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 409 * -745.9\nAnswer: -305073.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m**(-1))**(-2\/17) assuming m is positive.\nAnswer: m**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3869269344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*g**2 + 10761*b**2 - 3299*b*g**3 with respect to g.\nAnswer: -4*b**2*g - 9897*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*u + 696. Let g = u - 151. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjhkvjhjvvv. What is prob of sequence khv?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -13*h**3 + 6*h**2 + 30*h + 604. Is v(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 1058 * -0.13.\nAnswer: -137.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/48 - -12)\/(47\/(-2068))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 2*g + g)*(6 + 1 - 19) as c + i*g and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e - -ddd4a?\nAnswer: ddd2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*m**5 - 260*m**4 + 228*m**3 + 436*m**2 - 156*m - 176 = 0 for m.\nAnswer: -4, -1, -11\/18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2688*r + 2823. Let d(a) = -670*a + 705. Let h(m) = 15*d(m) - 4*v(m). What is the first derivative of h(s) wrt s?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173304 is divided by 1294.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83232836.\nAnswer: 2, 109, 190901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 62*p + 64*p = -69, 3*r + 41*p + 1710 = 413 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 40 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.6? (a) 2\/17 (b) 3 (c) 0.4 (d) 4202 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 48 = -p, n - 21 = -5*p - 5. Suppose -149 = -3*j + n. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 149 = -2*w, -6*o - 12 = -2*o. Suppose 0 = -4*u + 46 + w. What is the least common multiple of 22 and u?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 1018 = 4*f - 2*d - 987, 0 = -4*f - f - 2*d + 36 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:43 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-5)\/((-10)\/(-4)). What is the units digit of v\/(-4) - (-15)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 26, -831 in descending order.\nAnswer: 26, 2, 0, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55532 - -85861. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*g - 245 + 89, 0 = -2*j + 5*g + 104. Let f = -8 + j. What is the greatest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5472 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139026?\nAnswer: 2, 3, 17, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + -7. Let j be ((-5)\/(-10))\/(r\/8). Put -4, 4, j in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - (-33)\/9. Let v(t) = 4 + t - x. Let c(u) be the third derivative of -u**5\/60 + 5*u**3\/6 - 1093*u**2 - 3*u. Give c(v(q)).\nAnswer: -q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u - 1. Let z(l) = 2*l**3 - 2*l + 5. Let p(n) = 4*g(n) + z(n). What is p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d3d3 - 107?\nAnswer: -1d4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 269 = -5*y - 3*w, -y + 142 = 3*w. Let b = y - 115. 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: Let n be 1\/4 - (-2)\/(-8). Let g be 99\/(-6)*536\/(-737). What is the third smallest value in n, g, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/6*(-3)\/72. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l = -61*l + 30 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from {i: 3, t: 1, c: 4, h: 1, l: 1, d: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 36686831.\nAnswer: 403555141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in -3\/7, 23734, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/70)\/(28251\/602 - 47)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79951\/2380 + -29 + 80\/(-70) - (-6)\/8.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j - 5*p - 5, 0 = -3*j - p - 13. Let o = 4 + j. Let v be -1 + 1 + o + 5. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 300\/(-5550) + 5922\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -10) + -7 + 8 + -3 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-6)\/(-4)))\/((-1)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/4*(-16)\/(-2). Let j be ((-2)\/4)\/((-1)\/o). What are the prime factors of -3 + j + 1*2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 4:02 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 810 and 12555?\nAnswer: 25110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 27844565?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10457048, 10457051, 10457054, 10457057?\nAnswer: 10457060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 - 25*r - 1. Suppose 0*z + z = 21. Calculate the least common multiple of u(-6) and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-30))\/(1\/(-9)). Solve 4*j + 4*k = 0, 2*j + f*k = -3*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c - 4. What is the remainder when 25 is divided by z(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4932)\/(-28770))\/((-3)\/(-25)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2 + 14928*g + g**4 - 13*g**3 - 14873*g to the form k*g**2 + i*g + n*g**4 + o*g**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(4 + sqrt(7))*3.\nAnswer: -48 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67388 not equal to 67291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 416405065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991931 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 204.7 to the nearest integer.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123840 and 51989760?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 5 (b) 0 (c) -1\/12 (d) 0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, p: 3}. Give prob of sequence prp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4\/3 + 84*s**3 - 20147*s**2\/3 + 163132*s + 169932 = 0.\nAnswer: -1, 49, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*o, 5*b + 97 = 2*o + 537. Let l = b + -81. Solve 13 = -5*c - 7, 0 = -5*n - l*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/535116?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 1944?\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99343857 to the power of 1\/3, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 915 - -23024?\nAnswer: 23939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + 4*o + 113. Give s(0).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q)*(-5*q**4 + 3*q**4 + q**4).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.3. Let b = m - -0.3. Let q = -6 - -5. What is the nearest to q in 0.4, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 - 4*q + 4. Suppose -4*c + 3*f = -9, -6*c - 42 = f - 61. Let k(u) = 3*u**2 + 3*u - 3. Determine c*m(y) + 4*k(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.99999982 + 10. What is q rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 5503431 = 14352259 - 5120409. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -571 - -570.7. What is the nearest to 1 in s, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, -2\/5, -1\/70, 49767?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1898*l - 51 - 2 - 1400*l - 327*l - 308*l. Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 1880. What is k rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:53 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*x + x = -1, 5*c - 5*x = -10. Suppose 3*i + 33 + 42 = c*g, g = 4*i + 37. Let q = g - 16. Solve 1 = -2*f + q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/11)*s)\/s**(1\/5))**(-4) assuming s is positive.\nAnswer: s**(-576\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 - -59. Let c = 245 - 170. Let r = c - x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 1, -1397, -1, -4 in ascending order.\nAnswer: -1397, -6, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b77 - 1?\nAnswer: -1b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, 0, -32, -3 in descending order.\nAnswer: 16, 0, -3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 1\/10 (c) -2.6 (d) -16 (e) -0.2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times 31.12934?\nAnswer: 74.710416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66314, -132596, -198878, -265160, -331442, -397724?\n\"Answer: -66282*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (9 - 2))\/(-3). Suppose x*h = -11 - 7. Let j(l) = 2*l**3 + 13*l**2 + 14. Let u be j(h). Calculate the highest common divisor of 75 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200092533 to the nearest one million.\nAnswer: 200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/113693880 and -163\/85270410?\nAnswer: 341081640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 550.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-18) - (-6448)\/558. Solve g = -3*w, 0 = 3*w + g + 4*g + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25529 - 15298. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1029a5 (base 11) to base 6\nAnswer: 3311301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0263194 and 6?\nAnswer: -0.1579164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -321, -0.02, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34895, 34886, 34873, 34856, 34835?\nAnswer: 34810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 5*v + 2*v + (-5*v + 2*v + v)*(0 + 7 - 3) + 0*v + 0*v - 3*v in the form p + m*v and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 69188293094.\nAnswer: 69188293093.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0*d**5 + 1\/30*d**6 + 0*d**2 - 3*d + 0*d**3 + 0 + 1\/12*d**4. What is the third derivative of f(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 9*w - 23. Determine h(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 47031291 divided by -1\nAnswer: -47031291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 702185379 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-22) + (3808\/(-385))\/(-16). Suppose 8\/5*x**2 + h - 2*x - 2\/5*x**3 = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 31*b + 221. Let l be j(-7). Solve -l*a = -8*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = -d - w, -5*w - 1092 - 179 = -4*d. Let l be (d\/(-1))\/((-14)\/(-11)). Let u = -1727\/7 - l. Find the common denominator of u and -61\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 + 17098*q + 51296\/3.\nAnswer: -2*(q - 25648)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 9*o**2 + 11*o - 8. Suppose 185 = -c + 208. Suppose 22*s = c*s - 10. Let u be i(s). Solve u*r - 8 = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 6*c + 10. What is the greatest common divisor of c and 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k + 6*k - 2 + 1. What is the units digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4862 - 4482. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120088.\nAnswer: 2, 17, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 38*j**2 - 68*j - 3. Let a be r(-17). Sort a, 0, 2, -7, -14 in descending order.\nAnswer: 2, 0, a, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2. Let a be h(-5). Let b be 2\/4 - 35\/(-2). Let r = a - b. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 40332403344?\nAnswer: -40332403344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16208658 and 16208658?\nAnswer: 16208658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6496 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -2\/9, -1, 64, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 685238 and 6946?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4803 = -48*t - 6003 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 1 (c) 4 (d) -3\/13 (e) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 978\/3861 + (-122)\/1342 and -41\/2899.\nAnswer: 26091","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 166231?\nAnswer: 166233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63.49 - -63. Let x = 0.01 - h. Let u = 0.99 - 0.69. Put x, -1\/5, u in decreasing order.\nAnswer: x, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-138)\/(-5) - 15\/25. Suppose 5*b + g - p = 0, 4*g + 6 + 1 = 3*b. Suppose b*c = 2*q + 16, 3*c = q + 2*c + 2. Solve -4*u = -3*u - q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbmt when four letters picked without replacement from tttmbtbmtttm.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/35)\/((-4)\/5)*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 1:40 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -55, -2\/9, 0, 11, -3, 0.29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:17 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/7, 0.3, 4, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f. List the prime factors of r(16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-1)\/(-2))*(-360)\/(-515160)*-371\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a**2*n**3 + 9*a**2 - 88*a*n**4 - 5 with respect to n.\nAnswer: -45*a**2*n**2 - 352*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**3 + 4*o**2 + 2*o - 7. Let s = -278 + 282. Let r(v) = 2*v**3 - 3*v**2 - 2*v + 6. What is s*r(b) + 3*h(b)?\nAnswer: -b**3 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 20*o = -17*o + 186 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:02 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13365 and 2273535?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -27?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26106.85 meters to nanometers.\nAnswer: 26106850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218953727 divided by -406317909?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10001111 (base 2) to base 6\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/2 - (0 - -1). Suppose s - 5*s - z = u, 0 = 4*u + 5*s + 27. What are the prime factors of 620\/6 + (-2)\/u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 1. Let u(w) = -2*w**2 - 6*w - 6. Let b be 2\/2*(7 - -2). Let z be (-6 + b)\/((-1)\/1). Let p = z + 4. What is p*u(d) + 6*f(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -224*o**2 - 34*o - 17. Let i(y) = -75*y**2 - 12*y - 6. Let s = 3 - 20. Let d(w) = s*i(w) + 6*a(w). Let q(r) = r**2. What is q(d(m))?\nAnswer: 4761*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:31 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 410548 or 208?\nAnswer: 410548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39.6 and -46478.756?\nAnswer: 46439.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 145\/47 (c) 1.993\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12013010 (base 4) in base 16?\nAnswer: -61c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2. Let l(y) = 5*y**3 - 11*y**2 - 2*y. Give 4*c(h) + l(h).\nAnswer: 5*h**3 - 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-6) - (-4 - -5). Which is the nearest to 0? (a) d (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1634433500 to the nearest one hundred thousand.\nAnswer: 1634400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2\/b)\/b)**4)**(5\/14) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133984 + -88662. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 676 (b) -848 (c) -2\/9 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 43 = -4*a + 4*c + 32, 0 = 12*a - 3*c - 81 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**3 - 4*r**2 - 3*r. Let u(q) be the second derivative of 2*q**5\/5 + 3*q**4\/4 + 7*q**3\/6 + 30*q + 2. What is 7*p(f) + 3*u(f)?\nAnswer: -4*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 4:25 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 53. Solve -u + 4 - j = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -23*z**4 + z**2 + 215*z - 52. What is the derivative of t(f) wrt f?\nAnswer: -276*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose -2*j = j. Which is smaller: -4\/7 or j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(612) + sqrt(612)*-2*-2 + 1*(sqrt(612) + -1) - (3*3*sqrt(612)*1)**2) + -5 + -3.\nAnswer: -49583 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 96 = 10*y. Calculate the greatest common divisor of 40 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 12*h**2 + 22*h + 20. Let t be i(-10). Solve -6*m - 16 - 14 = t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03397567057 rounded to four decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1975 and 3950?\nAnswer: 3950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/71))**(2\/3)*((d\/d**43)\/d)\/(d**(2\/153)\/d) assuming d is positive.\nAnswer: d**(-456286\/10863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + ((-29160)\/(-48))\/(-27). Which is smaller: 11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069805*-440\nAnswer: -30.7142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -31*l. Let i(s) = 2*s - 2211. Calculate v(i(d)).\nAnswer: -62*d + 68541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = -91. Let b = g - 26. Suppose 3*c + 4*t - 23 = 0, -2*c + 36 = -t + 6. What is the remainder when b is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 129 = -25. Solve 22 = -5*i - 3*t, -q*i + t - 2 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from ojhohjjrhrjshhjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -10 (b) -11 (c) -2 (d) 3 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-22))\/80*6?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80155 is divided by 40071.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 193 + 16?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 1, 22, 5, -323 in descending order.\nAnswer: 22, 5, 1, -104, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260654743?\nAnswer: 59, 1487, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 282113348 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, e: 6}. What is prob of picking 3 d and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -2\/71, 0.3?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1664 and 139\/7488?\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551215520 to the nearest integer?\nAnswer: 23478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92*o**2 - 84540*o - 43752805 wrt o.\nAnswer: -184*o - 84540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q - 13. Let v be s(-8). Suppose v*m + 2 = -4. Put 3, m, -1 in descending order.\nAnswer: 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119565392?\nAnswer: 2, 1483, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 12*n - 10. Let p be l(4). Suppose -p*x + 115 = -17*x. What is the remainder when 64 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 40*q**2 + 92*q + 29. Does 40 divide h(41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300039 and 1593.\nAnswer: 159320709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (1 + sqrt(425))*-1)*3*-3.\nAnswer: -27 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375436343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*-3*(sqrt(11) + (sqrt(11) - -4*(sqrt(11)*1)**2)) - ((-2*sqrt(99)*5 - (sqrt(99)*2 + 4 + sqrt(99) - sqrt(99)))*-6)**2.\nAnswer: -515376 - 10440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14385 - 4?\nAnswer: -14389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1725 and 335475?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -625969, -1251935, -1877899, -2503861, -3129821, -3755779?\n\"Answer: x**2 - 625969*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**4\/5 + 8294844*m**3\/5 - 2866810066494*m**2\/5 - 5733744556248*m - 14334465076920 = 0. What is m?\nAnswer: -5, 691242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/5 + 3 + -1. Let q be 10\/(-26)*8\/20. Which is the closest to 2\/5? (a) -2\/9 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w**15\/w)\/w)\/w*w))\/(w**11\/w)*(w*w\/w**16*w*w)**(8\/3))**12 assuming w is positive.\nAnswer: w**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/9 - 2*k**2\/3 + 32\/9.\nAnswer: (k - 4)**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**3 - 39*u**2 + 56*u - 53. What is t(-8)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386485 and -0.1.\nAnswer: 38648.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 17*w - 5 = 0. Let x be (18993\/(-30))\/(w*(-1)\/(-2)). Let c = -1273 + x. Calculate the common denominator of -101\/2 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2786502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*k - 12 = 144*k - 5*x, 0 = -4*k + 5*x + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 61 - 27 = 0. What is the remainder when 87 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -1501?\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 3)*(0 + 1 + 0) + 1 + 1 + 1)*((-9*f**2 + 3*f**2 - 5*f**2)*(0*f + 0*f + f) + 2*f**3 - f**3 + 0*f**3) + 21 + 8*f**3 - 21.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1105 - 1102. Let t(g) be the second derivative of 0*g**h + 17*g - 9\/230*g**5 + 1\/69*g**4 + 0*g**2 + 0. Factor t(w).\nAnswer: -2*w**2*(9*w - 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 165, 2, 1, 5, 130, -8 in decreasing order.\nAnswer: 165, 130, 5, 2, 1, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32935 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 6)*(-3*t**4 - 3*t**4 + t**4) in the form q*t**2 + i*t**4 + h + j*t**3 + g*t and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/(7 + (-301)\/42). Find the first derivative of z*g + 173*g**2 - 2*g - 201*g**2 + 8 wrt g.\nAnswer: -56*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 - 4. Let x be 4*2 + (-2)\/1. Let h = -3 + x. Is 3 a factor of b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -5\/6 (c) -10 (d) -1\/5 (e) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjymqyqmyjyyq. Give prob of picking 2 m and 1 y.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*d + 5*a*h**2 + a + 2*d*h + 9*d + 2*h**2 wrt h.\nAnswer: 10*a*h + 2*d + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fztvzvvuffzfvtvvtrvt. Give prob of sequence urf.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -21*p**2\/2 - 11*p - 16. Is x(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2644 - -30?\nAnswer: -2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18822 = 3*c - 50760. Suppose 16*k - 14*k - c = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = -0*s - 312 + 472 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/70 - 13*q**4\/42 + 3*q**3\/7 + 405*q**2\/7 + 653*q. Find l, given that y(l) = 0.\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 11\/6*u**3 + 1 + 0*u - 5\/24*u**4 - u**2. Let f(h) = -2*h + 4. Give -17*f(c) + 6*o(c).\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 129*m**2 - 2388*m + 7661. Calculate g(79).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4165*b = -3851*b + 12560 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 21 + 9 + 9)*(-85 + 85 - 103*x) to the form s*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.9434758 and -0.045568.\nAnswer: 2.8979078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 4*j - 2*j)*(2*j - 162 + 210 + 0*j) - j**2 + 0*j**2 + 0*j**2 to y + u*j**2 + q*j and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.32. Let u = 0 + m. Let r = 3.98 + u. Put r, -1\/3, -0.3 in decreasing order.\nAnswer: r, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*c + 21*c - 301*c as n + r*c and give r.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) + (-20)\/(-12). Let a(g) = g**2 - 2*g + 1. Let i be a(3). Suppose c*u + 2 = 0, i*m - 4 = 3*u + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - (9 + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-3)\/(-6)*14. Let m = 10 + 17. Let f be (36\/m)\/((-2)\/(-3)). Solve 0 = t*c + 20, 0 = 2*x - f*c + 4 - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, j: 2}. What is prob of sequence jggj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 101037651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797, 1524, 2311, 3200, 4233?\nAnswer: 5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeojoeejeoeeeoeoo. Give prob of sequence eee.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23581243\/300 - 157209\/2. Calculate the common denominator of j and -28\/65.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) + (-25)\/(-20). Suppose -3*l = -58 + h. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/(5\/(-420)*-1). Let l be (7\/42*w)\/((-2)\/(-33)). Calculate the greatest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (135\/21 + 3)*105. Suppose -3*k = -3*q - g, -2*q = -3*k + 534 + 457. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.88535*-0.23.\nAnswer: 0.2036305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 2*x + 0*x + (5*x - 5*x + 2*x)*(-2 - 1 + 1) - 2*x + 2*x + 2*x - 2*x + 2*x - 3*x)*(7*x + 9*x - 3*x) as o*x + r*x**2 + y and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c - 16*c - 8*c + 35*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/42 and 27\/3920?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*r - 3. Let o be r\/12 + 17\/4. Suppose 0 = o*d + 4*d - 16. Solve 4*z + d*b = 12, 2*z = z - b + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3557348 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -339*c**4\/2 - 192*c**3 + 2*c - 1153. What is the third derivative of q(y) wrt y?\nAnswer: -4068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 14, j: 2, b: 1}. What is prob of sequence ubu?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 50*d + 1. Determine t(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 17367 = -5641. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 1 - 1. Let c = -42 - -90. Is ((-3)\/i)\/((-3)\/c) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 + 9 = -s, 0 = w - 4*s - 9. Suppose 16*c - 22 = w*c. Suppose -c*g = -g - 139. Calculate the remainder when g is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 9:33 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*f = 73*f + 218. Let c = f + 112. Solve 0*p + p + 4 = -c*u, 0 = 2*p - 3*u - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1150838*p**3 + 2*p**2 - 2*p + 60655.\nAnswer: 6905028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260.87704 rounded to one decimal place?\nAnswer: 3260.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -4\/5, 0.14, -3\/7, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -723*y**4 - 2*y**2 + 235.\nAnswer: -17352*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 9*c. Let i be a(6). Let z(s) = s**2 + 10*s + 30. Let h be z(-7). Calculate the greatest common factor of i and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13701 + 2289 + 3884*u**2 + u**3 - 3884*u**2.\nAnswer: u**3 - 11412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/4, -112566 in descending order.\nAnswer: -0.5, -3\/4, -112566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -195, -321, -643, -1257, -2259, -3745, -5811?\n\"Answer: -16*o**3 - 2*o**2 - 8*o - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -365 - 115. What is the least common multiple of 9 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, f: 1, g: 1}. Give prob of picking 1 u and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - t + 3. Let r be a(0). Suppose r*i - 8*i + 25 = 0. Solve 0 = -i*v + 15, 3*p = -v + 2*v + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 8 + 24. Let j(v) = -v**3 + 15*v**2 + 15*v + 21. Let z be j(c). Suppose 0 = -3*w - 2*k - 0*k + 186, z*w - 2*k - 294 = 0. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 633, -8, 5, 288 in decreasing order.\nAnswer: 633, 288, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*h**3 - 34*h + 141*h**3 + 34*h - 35*h**3 + 26*h**2.\nAnswer: 2*h**3 + 26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 121541463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + 4) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 + v + 7. Let b be y(-4). Solve -5*s = 5*q + 25, b*s = 5*q - 15 - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 74*n**3 + 468*n**2 - 952*n + 640.\nAnswer: -(n - 2)**3*(n + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4464553789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -22\/9, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/18)\/((-3)\/(-18)). Let i be 8 - 3 - (-724)\/(-132). Let k = i + -1\/66. What is the third biggest value in 0.2, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500) + 1*sqrt(500) + sqrt(500) - sqrt(5))**2*4.\nAnswer: 30420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*1*(1 - 8\/6). What is the third derivative of 10*l**2 + 10*l**3 + 220*l**5 + 34*l**2 - 10*l**r wrt l?\nAnswer: 13200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*w**5\/5 - 304*w**4\/5 + 472*w**3\/5 + 32*w**2 = 0. What is w?\nAnswer: -2\/7, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 + 2*b**3 - 68 - 66.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxsx when four letters picked without replacement from xxsxsnxnxsxxfn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5342660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45302?\nAnswer: 2, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -664*y + 49. Let u be f(-6). Suppose s - u = 4*n, -7*s + 4*n + 20229 = -2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4597 + 24*x + 4566 + 4596 + 4599 + 4598 - 22956.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*(6 + -3). Let t(z) = z**y - z - 2*z**2 + 0*z. Let h(p) = p + 1. Calculate -2*h(c) - t(c).\nAnswer: c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8448 divided by -528\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 232163316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 2*x + 11, 0 = 5*q + 2*x - 5*x - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 3*s**4 + 2*s**3 + 6 - 82 + 79)*(0 - 1 + 3) in the form b*s**3 + r*s**4 + f*s + l + w*s**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -18039925.\nAnswer: 13\/18039925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-3 + sqrt(200))\/sqrt(4) + sqrt(50))**2 + sqrt(100)\/(sqrt(2)*-4 + sqrt(2)).\nAnswer: -5*sqrt(2)\/3 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -2 + (0 - -1). Let l(c) = c**3 - 3*c**2 + 3*c - 1. What is the units digit of l(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 22. Let p = -25 + 13. Let f = p + o. What is the remainder when 18 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2976\/11 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14261787 to the nearest integer?\nAnswer: 3776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 244728740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89815 and 460.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 29 = 5*u, 2*u + 18*d - 26 = 22*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -302, -682, -1194, -1826, -2566, -3402, -4322?\n\"Answer: 2*a**3 - 84*a**2 + 2*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641912 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 265 = 5*h, -44*i = -39*i + h - 289. What is the greatest common divisor of 9 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u. Let s be h(-3). Suppose -6*v + 3*v = 4*a + 20, -v + 3*a + 15 = 0. Factor 0 - 6\/5*j**4 - 2\/5*j**2 + 2\/5*j**5 + 6\/5*j**s + v*j.\nAnswer: 2*j**2*(j - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 17. Let y be r(-12). Suppose 0 = -4*p - 15 + y. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -521, -529, -551, -593, -661, -761, -899, -1081?\n\"Answer: -d**3 - d**2 + 2*d - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -117*w - 3. Let x be g(0). What is the second smallest value in -1, 45, x, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 1. Let u(x) = 20 + 20 - 41. Determine -d(h) + 2*u(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -119*t + 128. Let u be a(-6). Which is bigger: 840 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 14*v**2 + 24*v - 3. What is k(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**6\/24 - q**5\/20 - 3*q**4\/8 + 38. Factor s(a).\nAnswer: a**3*(a - 3)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/28, -32\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 172 = 0. Suppose -38*f = 9*f - 1492 - 2550. Is f equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 18*c**2 - c + 27. Suppose -165*g - 468 = -191*g. Give w(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -35*v**5\/4 - 325*v**4\/2 - 1835*v**3\/4 + 3685*v**2 + 15745*v + 15400 = 0.\nAnswer: -88\/7, -7, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 8. Let p(c) = -10*c**2 - c - 13. Suppose 0*v = v - 7. Let f(d) = d + 5*d**2 + 6*d**2 - 4*d**2 + 9. Determine v*f(y) + w*p(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 4*p + 1. Let w(u) be the second derivative of 0 + 2*u**2 - 1\/2*u**4 + 1\/20*u**5 + 0*u**3 - 4*u. Let j be w(6). Determine y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11444, -11461, -11496, -11555, -11644?\nAnswer: -11769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 9648.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/3 - 8*d**4\/3 - 13*d**3\/3 + 22*d**2\/3 + 68*d\/3 + 40\/3 = 0 for d.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -821966.24 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 21*z + 95 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6731 and 0.3389?\nAnswer: -2281.1359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - -2) - 2*(-9)\/48.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 83880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djmjjhmcddmmdm. Give prob of picking 1 c and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-126)\/27)\/((-2)\/3). Let x(t) = t**3 - 6*t**2 - 4*t + 4. What is x(v)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 383.48 + -383. Let d = z - 0.738. Round d to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70.3 - 67.3. Let z = -0.5 - -0.3. Which is the smallest value? (a) -0.3 (b) z (c) f (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-99)*15*(-40)\/(-2)*(-219)\/(-2190).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1073 - -1076. Solve 6 - 18 = -q*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577245.\nAnswer: 5, 315449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 111*y + 125. Is h(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 1:04 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 695270627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174023 - 78474. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9300256696 to the power of 1\/7, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -25*q**2 + 767*q - 4393. Determine v(9).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 10220101?\nAnswer: -10220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/((-6)\/20). Let x = 5 - z. Suppose 2*n + 4*g - 329 = -121, 5*g = 4*n - 455. What is the highest common factor of x and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in ninety-one quarters of a millisecond?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34666 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 34*m**3 - 5*m - 1. Let v(z) = 4 + 10 - 14 + z. Let o(u) = -5*v(u) - x(u). Calculate o(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19548*n - 7 = 3*p + 19553*n, 14 = -3*p + 2*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**3\/3 + 53*s**2\/2 + 2046*s. Determine c(17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45760 by 44.\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -961901 or -961904?\nAnswer: -961904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c\/c**3)**(-24)*((c*c\/(c**(-1)*c))**(-24\/13))**(2\/15) assuming c is positive.\nAnswer: c**(6208\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 13. Let q be i(5). Let a(p) = -q - p**2 - 3 + 2*p**2. Give a(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011122101 + 11?\nAnswer: -1011122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/247 and -30\/32053?\nAnswer: 416689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62*(-2)\/4 - ((-9)\/(-21))\/(356\/2492)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761174209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -6) + (-19 - (-17 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3075.6\nAnswer: -6151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/15841596 and -37\/4398.\nAnswer: 15841596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13138, 18085, 23032, 27979?\nAnswer: 32926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 - 154 - (2 + -2 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) - 2*sqrt(9))*1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12362\/29481?\nAnswer: -12362\/29481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 330.0654 * -8.\nAnswer: -2640.5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12 = -3*s + 14, 4*s - 8 = 0. Suppose -4*n + 8 = -0*n. What is the smallest common multiple of y and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3512*c**2*p**3 + 3924*c**2 wrt p.\nAnswer: 10536*c**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4728*v**2 + 4728*v**2 - 2 - 20*v**4 - 43*v - 9*v**4 + 43*v + (-4 - 1 + 3)*(0*v**3 + 0*v**3 - 2*v**4) + v**4 + 0*v + 0*v.\nAnswer: -24*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by 23\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - 3178?\nAnswer: -3162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*t + 9368 + 160 = -247*t + 339*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(5 + -1 + -2). Let l(r) = r + z*r**3 - r**3 + 0 - 1. Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w + 3*d - 156 = 0, -24*w - 3*d = -26*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34062 in 2\/11, 1598, -3\/2?\nAnswer: 1598","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320 + -331. What is the common denominator of (-1*1)\/((-16356)\/(-1500) + o) and 39\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5604*u**2 + 3633284*u - 15560 = 0.\nAnswer: 2\/467, 1945\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*w**3 - 496*w + 33170 wrt w?\nAnswer: -15*w**2 - 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = z + 4*v, -4*z - 3*v = -11. Let u = z - -3. Let d(y) = -y**3 + 4*y**2 + 5*y - 1. Calculate d(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100837*z**2 + 200086*z**2 - 99249*z**2 + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) + (sqrt(18) - sqrt(2))**2 + 4 + sqrt(2) - (sqrt(8)\/sqrt(2))\/sqrt(2)) - (sqrt(18)\/sqrt(144) - (sqrt(2) + -2 + sqrt(2) + -1 - sqrt(2))).\nAnswer: -75 - 21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(516\/(-40) + 13))\/((-2)\/(-30)). Determine f so that 0*f + 8*f**3 + x*f**5 + 2*f**2 + 13\/2*f**4 + 0 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - 8) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 50. Solve -u = 2*u + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1053\/(-12))\/(-13) - 18\/66*22.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -625 + -31878129730?\nAnswer: -31878130355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - w - 2*w)*(-w + w**2 + w) - 81 - 73 + 9*w**3 + 3*w**2 + 126 as u + n*w**2 + a*w + m*w**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**4 + 4*l**4 + 24*l**2 + 5*l**6 + 11*l**6 wrt l.\nAnswer: 1920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -149 in 1, 2\/9, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 320312289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/x*x\/((((x\/(x**(2\/7)*x*x))\/x)\/x)\/x*x))\/((x\/x**(-6))\/x**(-1\/7)) assuming x is positive.\nAnswer: x**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h - 30*h + 5*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 6a?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -14 + (29 - 49) + 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**7\/9 - z**6\/3 + 11*z**5\/30 + 3*z**4\/2 - 4*z**3\/9 - 4*z**2 + 243*z - 5. Let d(c) = 0. What is c?\nAnswer: -2, -1, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*s = -385, -s = -h + 3*s + 99. Let m = -36 + h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-24)\/32)\/((-1)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 6:01 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 25\/2*t**2 + 0*t**4 - 6 + 0*t**5 + 5*t + 0*t**3 - 3*t**6. Differentiate u(w) wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -373 + 4a67?\nAnswer: 46b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -312, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -16264, 0, 3.1, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k**2 + 2*k + 2. What is c(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7526 + 14301 - 53407 - 3*m + 2*m.\nAnswer: -m - 46632","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1938339 is divided by 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*q + 1 = q, -3*z = -4*q - 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 26617688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -2, -5, 3.\nAnswer: -5, -2, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 13*l + 1. Suppose -b + 4 = -5*b. Let i be -3 + 2 - 3\/b. Is x(i) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/101)*h*(h\/(h**(-8\/5)\/h))\/h assuming h is positive.\nAnswer: h**(1828\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = -5*t + 10620. Suppose -17*p + 693 = -t. Is p a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 + 4 = 0. Suppose -14 = m - b*m. Suppose 0 = 2*y - m*y + 15. Solve -4*r = -y*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p - 39*p - 77*p + 10730 = 0. Calculate the remainder when p is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 23*k**2 + 21*k**2 - 41*k**2 + 21*k**2. Let i(f) = -f. Let o(w) = -2*w. Let g(h) = 10*i(h) - 6*o(h). Give g(b(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -1040?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 - -0.58. Let f = 0.33 + w. Let h = -0.05 + f. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*n**4 + 1 + 46*n**4 + 165*n**4 - 8*n**3 as h + q*n**4 + k*n + l*n**2 + y*n**3 and give q.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1152)\/(-560))\/(104\/130)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 0*u**3 + 399*u**2 - 391*u**2 + u**3 - 14. Let h be k(-8). Suppose -h*b + 124 = -b. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 918 and 18?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 18. Let s = -96191.99844 + 96176. Let q = b - s. What is q rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91774594.\nAnswer: 2, 83, 552859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 1 - (4 - 6). Suppose -a + 72 = 5*t, -5*t + 2*a + 66 = -t. Suppose h*q - 5 = t. Solve 0 = 3*w + w - q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94724 is divided by 1691?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5874, -27, 3 in descending order.\nAnswer: 3, -27, -5874","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (7 + 3 - -1). Let v = y + -8. Sort 2, -5, v in decreasing order.\nAnswer: 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 - 4*p + 8. Let n(t) = 13*t**2 - 7*t + 16. Let l(g) = -11*d(g) + 6*n(g). Let v be l(-6). Let j = 59 - v. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 - 133 = 5*y. Suppose -y*n + 3*j + 1540 = 0, 4*n + 2*j = 847 + 363. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -37 + (9 - -1 - -7) + -53.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43353, -43318, -43313, -43344, -43417, -43538, -43713?\nAnswer: -43948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -2\/69 (c) 75 (d) -3\/7 (e) -0.033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -128827.1\nAnswer: -219006.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-10) - 26\/(-5). Suppose -a - 12 = -i*a. What are the prime factors of 2 - (-47 - 1)\/a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4*u + 23, 7*u - 28 = 2*a + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a)\/(a*a**(9\/4))*(a*a**5)\/(a*a**5) assuming a is positive.\nAnswer: a**(-55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5153 = -x, 3*x = 2*t + 2*x - 3436. Suppose -7*o = 240 - t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 - 177*w - 1102. Let c be m(77). Round c to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598127297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9621.91152 rounded to the nearest ten?\nAnswer: 9620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(-3 + 1). What is the units digit of y\/(-1) + (-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-852)\/(-80) - (168\/(-20) - -7)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 15*t + 64 = 27*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8642 - -22509. What is y rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5882 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 59 + 22)*(-2*f - f + f).\nAnswer: 100*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -5*z**4\/24 + z**3\/6 + z**2\/2 + z. Let t(u) be the first derivative of k(u). Determine t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**6 + 379*j**5 - 2*j**2 - 61*j wrt j.\nAnswer: 240*j**3 + 22740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4007887 - 36*o - 4007887.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 573282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 3, -2, -9, -18?\n\"Answer: -x**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n + 28. What is a(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*r + 75 = 107, 0 = 3*v + 5*r - 43. What is the remainder when v is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 3 - (-340)\/5. Suppose 5*l + l = z. Calculate the greatest common divisor of 84 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 20 = 9*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254267284.\nAnswer: 2, 63566821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**2*t*t)**43)**17 assuming t is positive.\nAnswer: t**1462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 34 + 42 + 1909*n**2 + 602*n**2 + 12.\nAnswer: 2511*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/16 + y**3\/4 - 3*y**2 + 7*y - 108. Solve h(w) = 0 for w.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 times -0.3?\nAnswer: -283.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + c**3 + (3*c**2 - 2*c**2 - 4*c**2)*(-5*c + 4*c + 2*c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37\/13 in -1\/4, -0.4, 0.1, -1\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + 3 - 8) - (-1 + 22)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from {g: 6, k: 5, i: 1, l: 1, u: 6}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 60.4. Let q = 0.29 - -15.71. Sort 4, q, f in descending order.\nAnswer: q, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12 (b) -1\/2 (c) 451 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 292950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-17) + (-4224)\/(-68) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 + 3*i + 5. Let h(z) = -z**2 - 2*z + 8. Let v be h(-5). Calculate the remainder when d(v) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -23, -4\/239.\nAnswer: -23, -0.1, -4\/239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 36 = -4*z. Let b = 44 + -24. What is the smallest common multiple of z\/2 + -4 + 7 and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6382 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 778770 and 51918.\nAnswer: 778770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 1179 - 3915. Let n = -2579\/42 + 473\/7. Find the common denominator of n and (-6)\/(-8) - 1 - (-4655)\/c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 59*r**3 - 2*r**2 - 6. Let k(n) = 177*n**3 - 7*n**2 - 17. Let u(y) = 8*d(y) - 3*k(y). Find the third derivative of u(w) wrt w.\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 72\/5 of a gram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7156, 32112, 73692, 131884, 206676?\nAnswer: 298056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:57 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-270)*3*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 - 0 - (5 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - 2*h)*(-7*h - 7*h + 7*h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557656 is divided by 207.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 5. Let s be k(-5). Let y = 0.2678 + 0.1322. Sort 2\/13, s, 1\/4, y in increasing order.\nAnswer: s, 2\/13, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 1, f: 2, w: 3, z: 2, p: 10}. What is prob of picking 1 p, 1 l, and 1 f?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -2*d**2 + 7\/24*d**4 + 0*d - 1\/2*d**3 + 15. Determine n(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v + 6. Let r be i(-5). Let s be (2 - 1) + 54\/r. Let t = -3 - -3.1. What is the closest to t in -0.1, s, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeddd. What is prob of sequence dde?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 1. Let a be i(4). Suppose -10 = -a*d + 35. Is 14 a factor of (-40)\/6*(-72)\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -48*f + 723. Let r be n(15). Solve r = -5*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h. Let m(k) = 11*k**2 + 3*k. Let f(l) = -m(l) + 6*r(l). What is the second derivative of f(t) wrt t?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 21, 23, 17, -3, -43, -109, -207?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - 3*u**4 + 3*u**4)*(6 + 4 - 5) + 2*u**4 + 7*u**4 - 20*u**4.\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 200117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13513 = 19*a + 37*a + 17679. Is -561 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2. Let c(a) be the third derivative of 89*a**5\/24 + 67*a**3\/2 - 171*a**2. Let t(w) be the first derivative of c(w). What is t(v(b))?\nAnswer: -890*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 426\/(-284)*8\/(-636)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.4, 25\/6, 2, -7, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15850 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxusxuuxxfsx. Give prob of sequence uu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135.464118 - 0.318882. Let t = k + 136. Let l = -0.21700177 + t. What is l rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -1574, -2341, -3108, -3875, -4642?\nAnswer: -5409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343836?\nAnswer: 2, 3, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*w + 40*w + 21 + 512 = -1043 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 56*y. Let c be n(-2). Let t = c - -1010\/9. Let d(s) = s - 1. Let f be d(2). What is the nearest to -2 in f, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = 4*v + 6, 5*h = -2*v - 8. Let g be (-287502)\/(-210) + (-14)\/245. Suppose -9*d + g + 2744 = h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-273)*((-4)\/(-8))\/((-2)\/(-12)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 38*f - 16511. Calculate j(111).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3\/2. Let w = 216 + -212. Let x = -748\/7 + 107. What is the nearest to 1\/2 in x, n, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/3))\/(g**1\/g))**35\/(((g*(g*g**(-2\/7)*g)\/g)\/(g**(-3\/2)\/g))\/(g**1*g\/(g\/(g*g**(-7)\/g))*g)) assuming g is positive.\nAnswer: g**(593\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40766184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77*((-28)\/(-49))\/4 - -12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -59 + (1 + -1 - (8 - 14))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -468 - -471. Find the third derivative of -32*i + 2*i**2 - 3*i**4 + 20*i**3 - 19*i**3 - 21*i**b + 5*i**3 - 10*i**3 wrt i.\nAnswer: -72*i - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n - 56*n + n**2 + 35*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, j: 2, x: 2}. Give prob of picking 2 k and 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569 at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/39 and 16\/15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j**(11\/2)*j*j**(-42)*(j\/(j*j**(2\/27)))\/j*j**(1\/5) assuming j is positive.\nAnswer: j**(-9281\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from eeeeeevveeveeee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9891.579cm to micrometers.\nAnswer: 98915790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7915*g + 276. Is m(2) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 12, 1, -28, -81, -164?\n\"Answer: -o**3 + 8*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5*v + 1158 + 102, 4*v + k + 993 = 0. Calculate the common denominator of (v - 1)*(-2)\/48 and 2\/2 + (-67)\/(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 + q + 3. Suppose 2*w + 2*a = -0*w, 2*a = 5*w - 21. Determine s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 14 = -6. Suppose -2*h = -2*c - 26, 0 = -195*h + 192*h + 2*c + 28. Solve l*f + 2*t = -14, 2*f - 4*t + h*t = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/405 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11401161998 + -11401176745.8399928. Let m = f - -14759.84. Let y = -12 + m. Round y to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:56 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -1387*b**7\/21 + 75*b**4\/4 - 1726*b. What is the third derivative of f(p) wrt p?\nAnswer: -166440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-638)\/9 + 8\/(-216)*3. Let y = i - -73. Suppose 0 = -5*w - 3*a + 21, -3*w = -3*a - 2*a + 1. Solve -y = -q + w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 757564 and 3908?\nAnswer: 740140028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17081464 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76757 is divided by 494.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.001 and 11.172.\nAnswer: 11.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000011 (base 2) in base 12?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-211)*(-7)\/21. Let o = 1059\/422 + t. Which is the second biggest value? (a) 1 (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = 2*q. Let b(g) = g**2 - 9*g - 4. Let r(i) = -i**2 + 8*i + 3. Let f(z) = q*r(z) - 5*b(z). Solve f(x) = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -143*k**2 + 50*k + 16. What is g(3)?\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4 and -20\/9783.\nAnswer: 39132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -31*r**2 - 3*r + 1. Calculate x(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/60 - i**3\/6 + 3*i**2. Calculate the remainder when 94 is divided by q(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*i + 30 = 0, -o + 14 = -3*i - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(11)*2 + 0 + -3))**2 - (2*sqrt(1331)*-4)**2*2.\nAnswer: -169043 - 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 2:07 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:18 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_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 w = -4.818 - -0.118. Let a = 0.025 - 8.725. Let p = w - a. Put 0.2, -1\/4, 5, p in increasing order.\nAnswer: -1\/4, 0.2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -178\/7 (b) -178 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/4 - t**3 + 3*t**2\/2 + 4*t. Factor d(o).\nAnswer: 3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4770 from -0.3.\nAnswer: 4769.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 6864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(0 - 2 - 4*u + 3).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-14 - -86) - 52\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6823335619\/3723 + -1832752. Find the common denominator of y and 151\/1752.\nAnswer: 29784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1210 and 78320?\nAnswer: 861520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - 123. Let x be (-26)\/j*3\/2. Let f be (2 - -3)*4*x\/5. Solve 0 = -f*s - 3*o + 25, 3*o + 8 = 5*s - o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/255078 and -23\/197136?\nAnswer: 75503088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(((a\/(a*a*(a\/(a\/(a*a**0)))\/a*a))\/a)\/a)\/a)**5)**(5\/2)\/(a\/a**(1\/9)*a*(a\/(((a**(2\/25)*a*a)\/a)\/a))\/a)**(2\/39) assuming a is positive.\nAnswer: a**(-439564\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12304 and 641346.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 + 2*q**2 + (2*q - q + 2*q)*(-q - 16*q + 3*q) + 2*q**2 + 3*q**2 - 4*q**2.\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1912?\nAnswer: 9560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14454 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: Solve -526*s - 928 = -758*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from afffrrf?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.299 - -3.299. Which is the nearest to -0.1? (a) -8 (b) n (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -822 - 1225 = -2*t + 3*k, 996 = t + 4*k. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.037 - -0.433. Let k = -0.17 + g. What is the nearest to -1\/3 in k, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 217 - 217 + 47*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/60 - t**4\/24 - t**3\/2 - t**2. Let p(j) be the first derivative of m(j). What is the derivative of p(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022200201121 (base 3) in base 9?\nAnswer: 1280647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -8*q + 24. Suppose 4590 = -7*p + q*p. Let g = 6473 - p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563111 is divided by 264?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223102022 (base 4) in base 12?\nAnswer: 192376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:56 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125424509.\nAnswer: 7, 131, 136777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.338963959 to 5 dps.\nAnswer: -0.33896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -33953.47314?\nAnswer: -33955.47314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*i - o - o, 12 = 2*i + 2*o. Sort -1, -2, i in ascending order.\nAnswer: -2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -498, -1011, -1552, -2127, -2742, -3403, -4116?\n\"Answer: -j**3 - 8*j**2 - 482*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -94. Solve -4 = -o + 3*y, o + y - 3 = -c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**5 + 4100*p**4 + 1117905*p**3 + 100589510*p**2 - 209086660*p - 308562360 = 0.\nAnswer: -274, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 2\/5 (c) 5 (d) -1\/2 (e) 0.3 (f) -1149 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (2*sqrt(128) + 0)**2 - (sqrt(648) + -1)**2.\nAnswer: -137 + 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 33*k + 429 = 0. What is the greatest common factor of k and 364?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + f. Let w(a) = 29*a + 23*a + 24*a - 75*a + 2 - a**2. Suppose -b = x - 2*b - 3, 0 = -2*x - 5*b - 29. Calculate x*y(g) + w(g).\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**4\/4 - j**2\/2 + 6. Solve k(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = -n + 20, -2*n = -4*o + 68. Solve 15*p = o*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 14, 0.2, 321, -1, 7 in increasing order.\nAnswer: -1, 0.1, 0.2, 7, 14, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 times 66\nAnswer: 25.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + -12 + 5 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -13, -39, -85, -157, -261, -403, -589?\n\"Answer: -x**3 - x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 30 + 12. Let l(i) be the third derivative of 0*i**h + 1\/3*i**4 + 0 + 8*i**2 + 0*i + 2\/15*i**5. What is the second derivative of l(u) wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/8 and (-14)\/(-12)*(-242)\/(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68176*j**3 + 6*j**2 - 4*j - 1141?\nAnswer: 409056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 8*s**3\/3 - s**2\/2 + s + 363. Give d(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 5\/3 (c) -0.4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2304)\/sqrt(12) - sqrt(108)*-4.\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t, 2*y - 12 = 5*y + 4*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*k*r**2 + k*r + 207514*k + 4*r**2 + 14*r + 333 wrt k.\nAnswer: -78*r**2 + r + 207514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + n)*(-35*n + 58 - 58).\nAnswer: 70*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31034011 (base 5) to base 16\nAnswer: -3d9dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 15*f**2 + 12*f - 12. Let x = 166 + -180. Let z be l(x). Let n be (-2)\/((-48)\/(-20))*18\/(-3). Solve n*h - z = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5 - o + 0 + 3 - o**2. What is s(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 5*v + 8090 = 11*u, -2*u + 4040 = -5*v. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 2*x + 2*x + (-11 - 9 + 6)*(x - 3*x + x)*(-3 + 6 + 3) in the form w*x + r and give w.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -986 - -1029. What is the closest to -2 in -2\/5, w, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9056*f**2*w*y - 141*w*y + 34*w + y + 1 wrt f?\nAnswer: -18112*f*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-32) - (-9)\/2. Suppose -8\/5*g + 0 - 8\/5*g**2 - 6*g**p + 38\/5*g**3 + 8\/5*g**4 = 0. What is g?\nAnswer: -1, -2\/5, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65487 + 104724. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 27920 = -2*u + 59778, -o + 21935 = 4*u. Suppose 18*q - 21907 - o = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -52, -117, -228, -397, -636?\n\"Answer: -2*q**3 - 5*q**2 - 2*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2063, 4131, 6203, 8279, 10359?\n\"Answer: 2*h**2 + 2062*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -20 (b) 26\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3070145.\nAnswer: 5, 13, 149, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 26*q**2 - 17*q + 8. Let d(u) = -19*u**2 - 9*u + 3*u + 28*u**2 + 1 + 2. Let b(y) = -6*a(y) + 17*d(y). Let s(n) = n. Give b(s(x)).\nAnswer: -3*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h = -43*h + 47*h - 407592. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 6*w**2 + 2*w - 1. Let y be b(4). What is the highest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and -130004.\nAnswer: 377011.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.9 + 35. Let s = d - 2.1. What is the second biggest value in -2, s, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16*n + 10. Let r be l(-5). Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 47. Let d be g(21). Suppose -5*u + 2*u + 56 = d*j, -50 = -3*u + j. Calculate the remainder when 28 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 less than -72889?\nAnswer: -73928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43729173?\nAnswer: 3, 1619599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29 and 0.62639882?\nAnswer: 29.62639882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1840 (b) -37 (c) 0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 165114 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 67*j**2 - 3*j - 10*j**2 - 17*j**2 - 37*j**2 - 468 = 0.\nAnswer: -12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-36)\/(-576)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/20 - 5*q**4\/6 - 11*q**3\/6 + 7*q**2\/2 + 109*q - 3. Calculate f(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 148\/28 + 4\/(-14).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -435 = 1\/3604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1890*k**2 + 18699*k - 2002. Calculate z(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2\/7))\/b)\/b*b*b**(2\/15))\/((((b\/(b\/b**(1\/6)))\/b)\/b)\/b)**1 assuming b is positive.\nAnswer: b**(683\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 3*p**2 + p**2)*(-4 + 4 - p) + 5*p**3 - p**3 - 2*p**3 - p**3 + 3*p**3 - 3*p**3 + p - p**3 - p - 128*p**3 + 35*p**3 - 24*p**3.\nAnswer: -115*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o + 4 = 17*o. Let z = -48 + 52. What is the derivative of 1 - 13 + z*c**2 + 9*c**o wrt c?\nAnswer: 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*v - 114 = 0, -m - 3*v - 13 = -40. Calculate the smallest common multiple of ((-5)\/15 + 1)*6 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:53 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14441 greater than 14441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 3103302?\nAnswer: 3103311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*x**2 - 801*x**5 + 54*x**2 - 7*x**2 + 158*x + 153*x - 313*x wrt x?\nAnswer: -48060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + (-510)\/50 + 116\/5. Solve -u*b + 6*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, and 1 x when three letters picked without replacement from {z: 1, f: 1, w: 2, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-2)*(-7)\/((-140)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/43, -2\/7, 0.4, 0, -3, 7, -44 in descending order.\nAnswer: 7, 0.4, 2\/43, 0, -2\/7, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/169, 3, -12 in descending order.\nAnswer: 3, 2\/169, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-153*16)\/18*-8 is divided by 360.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/54*3*13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -4, 14 in descending order.\nAnswer: 14, 8, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4\/9, -19, 9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a + 93. Suppose 0 = 4*u - 3*w, -2*u - 2*w = 2*w - a. What is the units digit of (-140)\/(-15) + (-1)\/u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1353*n**2 + 1487*n wrt n.\nAnswer: 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 + (0 - 6 - -30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/10 + 6\/4. Let v = y - 7. Let w be (3\/v + 7)\/(-1). Are w and -4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -36. Let x = 813 + -805. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-12)\/(-36)*-21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*m + m = -598, m + 1 = 0. What is the highest common factor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 3*k**2 + 6*k + 10959. Give y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 29*w**2 + 4*w - 71. Calculate the least common multiple of 65 and m(29).\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*n**2 - 129*n**2 + 257*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 2*k**4 + 3*k**4 + (-47*k - 11*k - 24*k)*(2*k**3 + 2*k**3 - k**3) in the form j*k**2 + v*k**4 + f + g*k**3 + d*k and give v.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5302 + 5339. What is the nearest to i in 4, -1\/3, 0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16192726370 rounded to the nearest one million?\nAnswer: 16193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3\/4 - 15*k**2\/4 + 456*k + 5184 = 0. What is k?\nAnswer: -16, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33133 + 2?\nAnswer: -33131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107302528 is divided by 2318.\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 163*o**2 + 2441*o - 7. Determine s(-15).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(252) + 2)**2 + (sqrt(252) - (sqrt(252) - -4*sqrt(252)*-1)**2) + -4.\nAnswer: -138*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 305*b + 310.\nAnswer: -5*(b - 1)*(b + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8278*r**4 + 8278*r**4 + 230*r**5 + (-3*r + 2*r**2 + 3*r)*(-3 + 3 + 2*r**2)*(2*r - 2*r - r).\nAnswer: 226*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2142243134?\nAnswer: 2142243131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o - 2*o**2 + 2*o**2 + o**2 + 2. Suppose y + 45 = 2*l, -l = -3*y + y - 27. Suppose 5*z = 15, -2*p - 4*z + l = p. Calculate g(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*p + 3 = 0, -3*p = 2*r - 7*r + 63. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1269764 and 821612.\nAnswer: 13967404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/23*i**3 + 2\/23*i**4 - 8\/23*i + 16\/23*i**2 + 0.\nAnswer: 2*i*(i - 2)**2*(i - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0 + 0 + (-3*l + 0*l + 2*l)*(4*l + 6*l - 5*l) + 2 - 2*l**2 - 2)*(5*l - 6*l - l - 4).\nAnswer: 18*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 546 = 11*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30242826\/1639 - -18452. Let d = l + 47527\/3278. Calculate the common denominator of 29\/50 and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c - 1. What is l(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -54. What is the lowest common multiple of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155567\/590436 - 5\/1988. What is the common denominator of j and 125\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29 + 29 + 18*h**2 + (-h - 2*h + 2*h)*(-h + h - 2*h) + h - h + 2*h**2 + 2 - 2 - 2*h**2.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/20 - 11*z**4\/24 - z**3 + z**2 - 14. What is the second derivative of c(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-2))\/(-2))\/(11\/(-22)*6\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/612 and 49\/17097240?\nAnswer: 51291720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -22916121.96 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l + 12. Let m be g(10). Let a = 70 + -67. Suppose 5*p = -u + 86 + m, a*u = -p + 472. What is the remainder when u is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 77. Solve -3 = -4*r + 2*w - n, 0 = 5*w - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-875))\/((-8)\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = l + 2*q + 45, 2*l - 2*q - 16 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 269240 and 1144270.\nAnswer: 4577080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 9*s + 8. Let v be o(6). Let p be 57\/(-76)*-12 - (6 - (-1)\/(-1)). Solve v = -3*b + 5*r, p*b + r = 4*r - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -2531?\nAnswer: -2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -4 + -3*sqrt(720)*4 + (-1*sqrt(720) + -1 - sqrt(720)) + -1)**2 + 5.\nAnswer: -564619 - 8064*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6123*v - 3177*v - 3074*v.\nAnswer: -128*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1882*f - 105 - 99 - 93 + 297.\nAnswer: 1882*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4851 or -5017?\nAnswer: -4851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (23 + -2 + (263 - 218) + -14)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-102 + 253 + 31)*(0 - 2*t - 5 + 3) in the form o*t + c and give c.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 1, q: 2, o: 2, a: 1, m: 1}. What is prob of picking 1 n, 1 q, and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j - 5. Let g(y) be the third derivative of y**4\/3 - y**3 - 5*y**2. What is 7*d(k) - 6*g(k)?\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o**3 - 32*o**3 + 0*o**2 + 0*o**2.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16388.\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/54*(-3)\/(-39).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 - 195. Let q be 1 - (-585)\/x - (-6)\/10. Solve 9*k = 4*k + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 472, 504, 536?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66 + -68)\/(-2 - 6\/(-4)). Solve t*n = -4*d + 16, 4*d - 4*n + 12 = 6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/114420 and -79\/240282.\nAnswer: 2402820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4994*h**3 + 2 + 1538*h**3 - 4124*h**3 - 2*h**2 - 968*h**3.\nAnswer: -8548*h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 13. Let i be 10\/k*(-99)\/6. Solve -3*f - 2*f = -r, f - i = -2*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2209.248 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77291 to the power of 1\/2, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/148422 and -77\/6.\nAnswer: 148422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124*n - 148*n + 2 + 65*n)*(-2*n + n + 0*n).\nAnswer: -41*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 6*g - 12 = -122 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12)*0\/((-126)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 15. Let p = 293 + -291. Sort v, 0, 3, p.\nAnswer: 0, p, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -67. Suppose -6*p - 2*x = -3*p - v, 0 = -p + 2*x - 3. Let g be -2 + p\/(15\/(-6)). Is -1 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1758 + -451. Suppose -3*b - n = -20870. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, a: 4}. What is prob of sequence xaaa?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 20211?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 14. Let c(n) be the first derivative of -n**2 + 8*n + 1. Calculate the remainder when c(u) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1033, -2360, -3687, -5014, -6341?\n\"Answer: -1327*k + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902 and 675928.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27*((-481)\/(-39) - 12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.994 + -0.094. Let s = 5 - z. Let v be (18\/45)\/(17\/(-5)). Put v, s, 3 in descending order.\nAnswer: 3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 311126?\nAnswer: 5\/311126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -9*y**5\/20 + y**3\/2 + 10*y. What is the second derivative of o(h) wrt h?\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 28*y**3 - 4*y**2 + 10*y - 11. Let b be t(2). Suppose -k = a - 42 - 1, 0 = 4*a - 5*k - b. Calculate the smallest common multiple of 6 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -27*k. Suppose -5*m - 3*s - 27 = 0, 5*s = -2*m - 35 + 9. List the prime factors of y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117757, 235449, 353141?\n\"Answer: 117692*p + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 - s**4\/12 + s**3\/6 + 11*s**2\/2 + 4*s. Is l(0) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -33102 (c) -0.0457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 70424.88m?\nAnswer: 7042488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*l**2 - 37*l**2 + 4*l**3 - 33*l**2.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -156739?\nAnswer: -156739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - (-2 - -5)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6412 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 2*z = 17*z. Put -171, -3, 2, z in descending order.\nAnswer: 2, z, -3, -171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 0*y + 0*y)*(-3*y - 3*y + 3*y) - 2*y**2 + 3*y**2 + y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208551 (base 9) in base 4?\nAnswer: 2200013032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 29*p**4\/12 + 15*p**2 - 13*p. What is the derivative of c(t) wrt t?\nAnswer: 58*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 t when three letters picked without replacement from {t: 6, n: 2, f: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 63217 (base 12) to base 2\nAnswer: 11111101101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104607 and 1182.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:36 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 - 8*d + 338 - 690.\nAnswer: -8*d - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2733, -5464, -8195, -10926?\nAnswer: -13657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*6\/8*2. Let n = 113 - 112.6. Let l = 6419.7 + -6419. Put n, i, l, -0.1 in ascending order.\nAnswer: -0.1, n, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2348625.\nAnswer: 3, 5, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*q = -39. Let o(f) = 9*f + 4*f + 28*f - 10*f - 119. Calculate the remainder when o(5) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3531?\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.53, 2\/13, -20, -5?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 - 5. Let w(s) = -s**2 + 2*s + 2. Let x(f) = -f**2 + 5*f + 4. Suppose -v = 3*v - 20. Let o(t) = v*w(t) - 2*x(t). What is 2*n(y) + 5*o(y)?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 452 and 92999.\nAnswer: 371996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.49 (b) 1\/4 (c) 9081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y + 5*a, -4*y + 4 = 4*a - 3*a. Find the common denominator of 1 + y\/(32\/20) and -51\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 4*j**3 - 3*j**3)*(-2 + 3 + 0)*(19 - 20 + 36).\nAnswer: -35*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627050 and 6700?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 1. Let n(b) = 398*b + 5. Let x(w) = -n(w) - 2*v(w). Is x(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 37590*c. Let i(l) = -l. Calculate i(g(n)).\nAnswer: -37590*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 2)*(-1391127 + 27)\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 14. Let j(c) = 17*c**2 + 3*c - 2. Let l be j(f). Calculate the highest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*h - 57*h + 74*h - 62*h + 5*h.\nAnswer: -150*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/2 - (-1 - -1). Let o(x) = 44*x**3 - 2*x**2 + 1. What are the prime factors of o(f)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a + 346 + 24 = -38 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.91308 hours to milliseconds.\nAnswer: 82487088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 10*x = -40, -125*x + 120*x - 25 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208.62 - -208.5278. Is n greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 4717?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -23, -35, -47, -59, -71?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1 + 5\/5). Suppose -5*a + 4*q + 43 = b, -5*q = -5*a + 21 + 19. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6182047372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1\/(2 + -8)). Suppose -r = 4*q - 88. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*i - 4 + 2, 4*i = 4*b - 20. Let v = -0.94 + -0.06. What is the second smallest value in 1\/5, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4594?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 380*u**2 + 13*u - 6. Let k(y) = -574*y**2 - 20*y + 10. Give 5*k(v) + 8*n(v).\nAnswer: 170*v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0429436476 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w - 130 = -j + 260, j - 2*w - 16 = w + 6 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -332 - -5?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*(17464\/(-8) - 4). Suppose 48108 = -28*t + 30*t + 2*b, t = -4*b + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4397 * 193701.\nAnswer: -851703297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/86 and 103\/14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.706759 milligrams in nanograms?\nAnswer: 8706759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567)*-6 + ((sqrt(567)*-1 - sqrt(567))*-6 - sqrt(567) - sqrt(567)) - (-3 + sqrt(567) + -1)*4) + 4)**2 + -5.\nAnswer: 4320*sqrt(7) + 82043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 14*h + 27. Let q be y(-9). What is the remainder when 22\/q - (-4000)\/18 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 251 + -234. What is the highest common factor of b and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let r = -8 - -18. Let x be ((-2)\/5)\/(m\/r). Solve 5 = 3*n + x*d, n + d - 6 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*d - 6, 7*l - 2*l = -d + 3. Solve -14 + 2 = -d*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -17. Let h = -66691 - -66691.1. What is the closest to h in x, -2\/13, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/78 and 23\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*b**2 + 13*b**2 + 11*b**2)*(49 + 39*b**2 - 49).\nAnswer: 1638*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 148.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 6. Let j = g + -35. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/120 - 3*u**5\/20 + u**4\/24 + 2*u**3 + 8*u**2. Let z be b(-9). Solve -z*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 8 - 28. Determine n, given that -26\/3*n**y - 8\/9*n**3 + 8\/9 + 70\/9*n**4 + 8\/9*n = 0.\nAnswer: -1, -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:25 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 28377584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11924*s - 908. Does 27 divide g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 141, -0.1, 5, -1\/2, 11\/7, 20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 1190.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790893?\nAnswer: 3, 87877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1716160 (base 8) to base 10.\nAnswer: -498800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -45. Does 20 divide (72\/(-42))\/(t\/(-280)*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -5. Let b be (-1)\/(-9) + (26 - (-4148)\/(-153)). Sort 2, b, m, 4.\nAnswer: m, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 13 + 42*h**4 + (h - h - h)*(-2*h**3 + 2*h - 2*h) to the form m*h**2 + n*h + c*h**3 + k + l*h**4 and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5823135.57 - 0.644.\nAnswer: -5823136.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 b when three letters picked without replacement from bbhgp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**6\/12 + 5*a**3 - 7*a**2. What is the derivative of i(f) wrt f?\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -29. Let v = -9252091.00053 + 9252025. Let g = v + z. What is g rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -6*i**7\/7 + 8*i**3\/3 + 10. What is the third derivative of g(b) wrt b?\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306986899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbl when three letters picked without replacement from bhbll?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = -33*g + 2*f + 85, 3*g - 51 = f for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287 and 10660.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 232. Let z(i) = -71*i - 2. Let c be z(1). Let b = c - p. What is the remainder when b is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4 - 1 - j + 8*j**2 - 3. Calculate n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72609 = -2*t + b, 3*b - 65514 = -4*t + 79669. What are the prime factors of t?\nAnswer: 31, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804*d = -820*d + 400 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -629, -608?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -3*k - t + 5*t, k - 103 = 5*t. Suppose 2*b = c + 47, 5*b - c = -0*c + k. Calculate the greatest common divisor of b and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -4400 + 4424. Solve 3*y = f + 3, -3*f + o*y - 2 - 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. Suppose -v = x - 22, b*x + 2*v = 3*x - 28. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 206\nAnswer: -31\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -1.2?\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4*f + 2*f + (-16 + 16 - 6*f)*(-1 + 0 - 2) - 5*f + 2*f + f)*(-4*f + f - 5*f).\nAnswer: -112*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/18 + 2*u**3\/3 + 24*u. Factor z(m).\nAnswer: 2*m*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Let t = o - 0. Let d = -0.2 + 0. Is d at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19334913 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -5. Solve 4*q + 10 = c*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-1) + 24\/10*(-14550)\/(-3492)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/p)\/p**(-6\/7) assuming p is positive.\nAnswer: p**(9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 60849 + 4151 = 0. Does 84 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2102?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15 - (-132)\/(-60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 68*f.\nAnswer: 2*f*(f + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326723 is divided by 31872.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*sqrt(7)*1*-1.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.36097t to micrograms.\nAnswer: 3360970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*8\/4*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - 3*g)*(-1 + 1 - 2*g) + (g - 2*g - 3*g)*(1 + 1 - 4)*(-2*g + g - 2*g).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 2*u - 2. Suppose 6 = -3*z, 11 = -3*c + 4*z + 49. Let t = -6 + c. Let b be (-3)\/1 + 0\/t. Give v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 103*f**3*j - f**3 + 41*f**2 + f*j wrt j.\nAnswer: 103*f**3 + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 346 = 86. Let v = 58 - y. Suppose -32 = v*u + 4. Let g(m) = -m**2 - 3*m + 6. Calculate g(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*c + 77*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 936. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39, -73, 5 in decreasing order.\nAnswer: 39, 5, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 18*t - 20. Let j be r(-20). What is the hundreds digit of (369\/(-4))\/(j\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 23 - (246 + -226) - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139188098*s + 87310649.\nAnswer: -139188098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 6731 = 4*i - 6765, -3*w - 30 = -4*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0382 minus -1.07?\nAnswer: 1.0318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 8*o**2 + 2*o + 3. Let w(n) = 3*n**3 + 25*n**2 + 6*n + 9. Let v(s) = -7*c(s) + 2*w(s). List the prime factors of v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 155*q + 66 + 59 - 190.\nAnswer: -155*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 337435696127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -120687 divided by 2463\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 3 + 11 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 877 - 592. Suppose -278*a = -c*a. Suppose 4*b**3 + a - 26\/7*b**4 + 6\/7*b**5 - 16\/7*b + 8\/7*b**2 = 0. What is b?\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -583*k + 547*k + 589320 = 0. Is 36 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 579 = 303. Suppose -x*h = -59*h - 12. Calculate the remainder when 40 is divided by -4 - h\/((-12)\/44).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2\/3*s**2 - 76\/3 - 74\/3*s = 0?\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-315) - (-136)\/1224\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*q**5 + 11*q**5 - 24*q**5 + 2*q + (-q**3 + 2*q**3 - 2*q**3)*(-3 + 3 - 2*q**2).\nAnswer: 4*q**5 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 797 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20238, 40480, 60722?\n\"Answer: 20242*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/6 + -2)*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 53*i - 25. Calculate l(-16).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80032168 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -3469?\nAnswer: -3122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f - 160 - 20 = 0. Let s(n) = -5*n**3 - 5*n**2 + 5*n + 3. Let l(a) = 5*a**3 + 4*a**2 - 4*a - 2. What is f*s(x) - 5*l(x)?\nAnswer: -5*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r)\/((r\/r**(5\/4)*r)\/r)*(r**(2\/7)*r*r)\/r**(3\/8) assuming r is positive.\nAnswer: r**(-103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f = -614 - 116 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let z be (4\/(-3))\/(g\/(-6)). Are -4 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 - 124*f + 1. Calculate d(31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:41 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27407, 27435, 27465, 27497?\nAnswer: 27531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*h**3 - 139*h**2 - 208*h wrt h.\nAnswer: -66*h - 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/3 + 2*p**2 + 3*p - 95. What is i(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvaaia. Give prob of sequence am.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 5*d - 3. Let t be g(-3). Let j(r) = 6*r**2 + r + 1. What is the tens digit of j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*4)\/(-2*sqrt(7)*3).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69\/112 - -3\/7. Let k = h + 41\/48. Find r such that 2\/3 + k*r**2 - 4\/3*r = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.067 - 0.167. Let m be 10\/((-2)\/3*3). What is the nearest to r in -2, m, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 - 4864*u**2\/5 - 2967016*u\/5 - 11790368\/5.\nAnswer: -2*(u + 4)*(u + 1214)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 greater than or equal to -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 51 - (0 - (-1 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*t + 869*t - 874 = 408*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 3*c + 2*c)*(-2*c + c + 0*c) - 15*c**2 - 17*c**2 - 8 + 33*c**2 to the form p*c + b + y*c**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 376314756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43737642*x**2 + 41465301 wrt x.\nAnswer: -87475284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 917 + -896. Solve -19*y = -r*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6842 + -6841.6. Suppose 5*p - 35 = -5*w, -24 = -w + 4*p + 3. Put w, a, -3 in descending order.\nAnswer: w, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 3. Let s be q(1). What is the tens digit of s + -5*(-6 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 98163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 304191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 183124*i**2 - 366260*i + 183132.\nAnswer: 4*(i - 1)**2*(i + 45783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqss when four letters picked without replacement from {s: 2, q: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 215037.3 months in decades?\nAnswer: 1791.9775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2397*p + 839*p + 2146*p - 339066 = 0 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -720\/7*i**2 - 2\/7*i**4 + 0 - 52*i**3 + 0*i.\nAnswer: -2*i**2*(i + 2)*(i + 180)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19492200 and 12994800.\nAnswer: 38984400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(605) - (sqrt(605) + -2*(sqrt(605) + (sqrt(605) - (-2*sqrt(605) - sqrt(605))))) - (sqrt(605) + 1 + 4))*-6)**2 + 2 + 5.\nAnswer: -38016*sqrt(5) + 1765211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 <= -208\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -16. Let s = c - -14. Suppose s = f - 2. Solve 0 = -4*z + 3 - f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 281, 549, 791, 995, 1149, 1241, 1259?\n\"Answer: -2*l**3 - l**2 + 285*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*n + f, -38 = -2*n + 7*f - 2*f. Suppose -26*q + n*q = -21. Solve q*l = -2*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21 - -112.79. Let j = s + -113.000046. Round j to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -24 + 12. Let l(j) = -10*j - 85. Let s(u) = -14*u - 86. Let g(h) = v*l(h) - 7*s(h). Find the first derivative of g(f) wrt f.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.949555mm?\nAnswer: 0.000009949555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23.81? (a) 5 (b) -2\/19 (c) 259.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6222 and 8042850?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 165*x - 1572. Give f(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2\/7 (c) -2\/7 (d) 8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 159710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -342, -651, -1082, -1629?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*j + 2)*(94*j**3 + 9*j**3 - 6*j**3) in the form t + x*j + u*j**2 + d*j**4 + i*j**3 and give d.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 5)*(0 + 3 + 1)*(-5 + 0 + 3)*(-67 + 97*q + 79 + 39*q) to the form v + p*q and give v.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 5*r + 18, -v + 4*r + 12 = 0. Let x(l) = 2*l - 4 + 12*l**2 - 4*l - 7*l + v*l. Is 6 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -0.5, -0.1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5565\/(-53))\/(-6*(-119)\/(-612))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + z - 90. What is b(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 5*t + 4*d, 7*t - 290 = 2*t + d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*b - 21*b - 16*b + 18*b)*((-3 + 3 + 7)*(0 - 7 + 1) + 1 - 6 + 3).\nAnswer: 3212*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5996802 in -5, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1494, 1580, 1722, 1920?\nAnswer: 2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3398 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdds when four letters picked without replacement from ggdddggssdggsdsdg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -7*m**6\/6 - 2*m**3\/3 - 115*m**2\/2 - 133. Find the second derivative of p(q) wrt q.\nAnswer: -140*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -0*j + 4. Suppose 9*u - 5 = 4*i + 14*u, 2*i = 5*u + 35. Which is the closest to j? (a) 3 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(2\/20)\/(12\/(-30))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93653 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 22 = -2*q + 5*f, 2 = -2*q - 5*f. Let c(p) = p + 6. Let a be c(-3). Suppose -5*y + a*y = -8. Solve q*n - 18 = 2*w, -2*w - y*n = -w - 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at most -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + l**2 - 17*l - 18. Let s be q(-1). Solve 5*p - p + 5*j = -22, s*j + 10 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.17 + 606224209354.\nAnswer: 606224209350.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = l - 5*g, 15 = 5*l - 2*g - 0*g. Let q = -234 + 233.5. Let h = -3.1 + 3. What is the closest to -1 in l, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.74128784 rounded to 2 decimal places?\nAnswer: -9.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 25. Suppose 0 = -y - d*y - o + 3112, 3*y = 2*o + 3127. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -556, -555, -552, -547, -540, -531?\n\"Answer: q**2 - 2*q - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/72 and 79\/69816.\nAnswer: 209448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 105\/(-5)) + ((-1)\/3 - 20920\/5640)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, -15, -34, -55, -78, -103, -130?\n\"Answer: -f**2 - 14*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21464 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5 - 148*u**4 - 544*u**3 - 528*u**2.\nAnswer: -4*u**2*(u + 2)**2*(u + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.40053 + -1.90053. Let v be 2\/6 + (-213)\/693. What is the second smallest value in v, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v - 142. Let d(f) = -2*f - 51. Let w(b) = -11*d(b) + 4*x(b). Give w(-14).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -653, -2.5, -579?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/7)\/(a*a**(-3\/5)\/a*a)*(a*a\/a**(6\/7)*a*a*a)\/(a*a**(-5\/4)*a))**(6\/11))**(-41) assuming a is positive.\nAnswer: a**(-58917\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*o - 6, -10 = -2*z + 2*o + 2*o. Which is the nearest to 4? (a) -3\/2 (b) 2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -13 (b) -2\/19 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 2081*i - 26 + 116 - 31 - 30 to the form m*i + w and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -551*z**2. Let k(l) = 25. Let h(t) = -2*t + 250. Let x(c) = -4*h(c) + 40*k(c). What is w(x(i))?\nAnswer: -35264*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -535 + 470 - x**3 + 0*x - 17*x wrt x.\nAnswer: -3*x**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j - 208. Suppose 20*m = -30 + 950. Calculate the remainder when v(m) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y**2 - 13*y + 9. Let h(v) = 533*v. Calculate h(j(q)).\nAnswer: 7995*q**2 - 6929*q + 4797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 4*l - 4. Suppose s + 13 = 4*h - 8, 0 = 4*s + 4. Let a be o(h). Calculate the common denominator of a\/3 - (-33)\/27 and 44\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - (1 + 0)) + (-506 - (74 + -570)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2788 and -0.05?\nAnswer: 139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*-140*(-150)\/(-424200).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -28*v**4 - 2*v**3 - 2*v - 45. Let d(t) = 27*t**4 + 3*t**3 + 3*t + 44. Let m(i) = -4*d(i) - 6*j(i). What is the derivative of m(r) wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -76. Suppose 8*x - 308 = 4*x. Let s = x + -386\/5. What is the nearest to 0.1 in j, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 739?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 - -167. Let p(b) be the second derivative of 5*b**4\/24 + b**3\/6 + 2*b**2 + 3*b. Let f(c) be the first derivative of p(c). What is f(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 2, -20, -740, 24, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -0.4 (b) 4 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11110110100110010 (base 2) to base 4\nAnswer: -132310302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 - 4*b + 4. Let a be q(4). Suppose a*x - 130 - 626 = 0. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-330)\/12 - 1)*(-16)\/40. Do 0.1 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8583.93 + -8692. Round r to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348794 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 242 = 0. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + w**2 + 6*w**2 + 6*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 150 - 34. Let j = -27 + l. Solve 2*w + 2*f = -j, -4*f - 11 = -6*w + 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148192 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: Convert 4.083292 millilitres to litres.\nAnswer: 0.004083292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 12*r**4 + r**3\/3 + 9*r**2 - 8004*r - 10177. Differentiate p(h) with respect to h.\nAnswer: 144*h**2 + 2*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/52)\/(((-1071)\/8619)\/3)\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*h + 18, 3*k - 3*h - 21 = 7*k. Suppose 0 = 4*x + 8, -3*g = -6*g - 3*x + 9. Let v be (6\/g)\/(1 + k). Which is greater: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 10*y - 7. Let l be u(9). Let n = -6 + 8. Let v be 42\/10 + (-1)\/5. Solve -l*z = n + v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -179 - 3?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000450560515 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose -12 = -3*k - n*k. Find the second derivative of 4 + 2*l - k - l**2 wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10928*g + 10927*g - 43720*g + 10931*g + 10932*g. Let i(j) = -j**3 - 2*j - 1. Let z be i(-1). Let t(b) = b**z - b**2 - 19*b + b**2. Determine t(m(u)).\nAnswer: 4*u**2 + 38*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9 = 5*x. Suppose -4*z + x*i = -26, 2*i - 1 = 4*z - 25. Solve -30*f**3 - 33*f - 14*f**z - 38*f**4 + 4 - 2*f**2 - 4 + 37*f = 0 for f.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1501 is divided by 615.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 1200734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) -35\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 1. Let g be z(2). Let c be 9\/6 - g\/(-6). Factor -3*o**2 - 3*o + 12*o - 2 + o**2 - 2*o**c.\nAnswer: -(o - 2)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n + 4. Let v(h) = 6*h - 5. Let r(f) = 3*v(f) + 2*w(f). What is the remainder when 26 is divided by r(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45*43*10\/15050.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -7. Suppose -4*q = n*h - 32, 3*h + 3*q + 25 = 7*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, -1, -3, -371 in ascending order.\nAnswer: -371, -5, -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493 + q**2 + 536 - 1029.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n**3\/n)\/n)))\/n*n*(n\/(n\/n**(-4)))\/n*n*n*(n\/n**(-1\/3))\/n*n**(-6) assuming n is positive.\nAnswer: n**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-487)\/(-11))\/(641\/7051). Is 2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 19 = -22, -5*r = 3*o - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 - x. Let l be n(-1). Let s(f) be the third derivative of -f**6\/120 - 2*f**5\/15 + f**4\/24 + f**3\/2 + 1051*f**2. Determine s(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8747618 = -49*m - 8742620 for m.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 3*c = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 32*k - 652014 + 652005. Let y(r) = 13*r - 4. Suppose u - 12 = -2*u. Determine u*x(p) - 9*y(p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let v = 223 + -118. Suppose -12*m + 129 - v = 0. Solve 0 = m*u - p - 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (804\/24 - 21)*(-3 - 93\/(-30)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 7521, 14874, 22227, 29580, 36933?\nAnswer: 44286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -334679593\/43692 + 252754\/33. Let j = 4\/331 + b. What is the closest to 1 in -1\/2, 0.5, -0.3, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 9 - (-3 - -15).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3159174 and 1448?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 36 = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -1 - (-72 + 82 + (15 - -1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76013376 and 1072.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20 - 220*g**2 + 20*g + 12*g**3 - 32*g**3 + 205*g**2 - 5*g**4.\nAnswer: -5*(g - 1)*(g + 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2\/2 + 534573*f\/2 - 267285 = 0. Calculate f.\nAnswer: 1, 178190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1993, 2004, 2041, 2116, 2241, 2428, 2689, 3036?\n\"Answer: 2*q**3 + q**2 - 6*q + 1996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/31 (b) -0.1 (c) -4 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 1, b: 1, c: 3}. Give prob of sequence rb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + -68 + 98)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v + 1. Let u be g(-1). Let n = -3 + 11. Suppose 2*l = n - 4. Sort u, 6, l.\nAnswer: u, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 511.4 - 512. Let i = -10 - -5. Put 0.4, t, 4\/7, i in descending order.\nAnswer: 4\/7, 0.4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/((c\/c**(-2\/9))\/c))\/c*c**(1\/6))\/(c*c*c*c*c**(-6)*c*c*c*c*c**(-1)*c))\/(c**(-8)\/(c*c**(1\/6)))**(4\/11) assuming c is positive.\nAnswer: c**(41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -v - 21, -3*v = -4*l - l + 30. Let m be 9\/v + (-51)\/(-135). Let t = 5 - 7. What is the closest to 3 in t, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 1)) + (-19 - -8) - 28.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (207\/(-18))\/(-23)*4*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 45. Let z = 104 + -104.1. Which is the closest to 0.1? (a) l (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 6*k. What is the second derivative of t(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251735619 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) + (-31)\/(-5). Let j = b + -4. Suppose 2*a - 176 = -4*h, -j*h - 62 = -a + 34. Calculate the greatest common divisor of 23 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 3*g - 1. Let k be s(3). Is 1*(2 + k) + 22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p + 2. Let z be (0 - -3)*2\/(-3). What is the tens digit of x(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244 (base 7) to base 8.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 4)*(1 - 1 + 1) + (-2 + 2 + 1)*(1 - 6 + 3))*(-1475 + 1475 + 91*x).\nAnswer: -455*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 + 91 + 95 - 2*b - 276 - 132*b**2 in the form y*b + g*b**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 24*t + 62. Give q(29).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1035)\/55 - -25 - (-8)\/(-44)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306443534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 219\nAnswer: 1\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -32 + (-3 - -2) - (-6 - -8). Let z be (-129)\/27 + 8\/(-36). Is (-5444)\/(-14) + z\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 542, 3, 5\/769?\nAnswer: 542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 9 (b) 1\/10 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4952?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26*s. Let v(n) = -23*n + 8840. What is v(i(d))?\nAnswer: 598*d + 8840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/10 - 17*y**4\/4 + 2*y**3\/3 + y**2 - 13*y - 1. Find the second derivative of s(u) wrt u.\nAnswer: -12*u - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323830 is divided by 1398.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 60. Let s = d - 17. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(5) - -1*(5 + sqrt(5))))*4.\nAnswer: 16 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + -98 - (-20 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1313\/19 - -69. What is the nearest to 0.2 in q, -4, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 42. Let w be h(-25). Calculate the greatest common factor of w and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9433565 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 54096*j - 594935 = 0. What is j?\nAnswer: 11, 54085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704568 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 8*w**2 + 5*w + 26. What is m(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.166, 0.3, 0.5 in ascending order.\nAnswer: -0.166, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 260517241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2264311 (base 8) to base 15\nAnswer: -c2a9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3331 (base 4) to base 13\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -40. Which is the closest to 0.2? (a) 0.2 (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 - 2*l**3 + l - 458*l**2 - 220 + 3*l**4 + 113 + 38*l**2 in the form g*l**3 + r + n*l**4 + j*l**2 + p*l and give j.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015823 rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2071 + 2314. What is the smallest common multiple of 9 and v?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656520.7ml in litres?\nAnswer: 656.5207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/419, -14 in increasing order.\nAnswer: -14, -5, 5\/419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*x = -426. Let m = x + -72. Suppose -14 = -29*a + 31*a. Is a bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 965 = 2711. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 - 35*p**5 - 36 + (-2*p**2 - 5 + 5)*(-4*p**3 + p**3 + p**3).\nAnswer: -31*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/8 or -66898.89?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15742576?\nAnswer: 2, 983911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 6*b**2 - 8*b + 7. Let x be n(7). Suppose 3*g - 5*l = 48 - 19, 0 = -3*g - 3*l - 3. Solve -4*m - 5*v + 18 = x, g*m - 7*m + v = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11050728 to the nearest integer?\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-25) - (-5302)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197293 is divided by 242.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58556 divided by 8\nAnswer: 14639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(108)*3.\nAnswer: 2 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 18, 72, 178, 354, 618, 988, 1482?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684915559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 628293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + -11. Let c = b - -26. Suppose 2*o - c*k = 4, 0 = -4*o - 4*k + 15 + 5. Solve -o*d - 5*p = -3*p - 2, 2*d - 11 = -3*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/3 - 8494*y + 50972\/3 = 0. What is y?\nAnswer: -12743, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20168664 is divided by 22945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -1.251?\nAnswer: 1.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*s - 3 - 11*s - 21*s + 2*s**2 + 9*s + 80*s in the form y*s + o*s**2 + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6741247 and 1957?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29012 + 29014. Solve o**r + 0*o**3 + 0 - 1\/3*o**4 + 2\/3*o = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 25 = -6*p. Suppose -p*h = 3*m - 336, h - 3*m + 221 = 3*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {c: 1, e: 1, i: 1, q: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-18 + 16 - 13 - -7) - -142.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjobbbojjbjbqbqqb. Give prob of picking 1 b and 1 q.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2698382 or 2698327?\nAnswer: 2698327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 34*b + 111 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, -211, -895, -1853?\nAnswer: -3085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 252.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767466109.\nAnswer: 767466109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -174932 times -0.3?\nAnswer: 52479.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuuuyyuuu?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 480194 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:13 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44867 + 72027. What is the thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84433 and 8046832.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*h**5 + 4973*h**4 + 49*h**2 + 5*h - 36 wrt h?\nAnswer: -840*h**2 + 119352*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 43. Let f(q) = 2*q**2 + 1. Let a(i) = i**2 + 3*i + 2. Let r(b) = -5*b**2 - 17*b - 11. Let p(l) = -34*a(l) - 6*r(l). Give y*p(u) + 5*f(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 15\/(-6))\/((-11)\/(-68031 + 7)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4716165l to millilitres.\nAnswer: 471.6165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -23. Let h be g\/(-2) + 24\/16. Find the second derivative of 4*n - 6 + 4 + h*n**2 + 2 wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11312 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:25 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(1 + 2*b - 14*b - 4*b).\nAnswer: 16*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - j - 4*j - 604 = 0, 1704 = 3*g + 3*j. What is the remainder when g is divided by 192?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 - 1 = -2*n + 2*a, -277 = -5*n - 4*a. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 8 - 2. Factor -21 - 9*o - 6 - 3*o**l + o - 10*o.\nAnswer: -3*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.78 - -0.22. Let z = 26.2 - u. Which is the third smallest value? (a) 1\/5 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 2107\nAnswer: -48461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -53 (b) -3 (c) -0.3 (d) -0.21 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545 (base 8) in base 11?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11 + 3*x - 8 + 4. Let g(z) = z - 4. Let t(y) = 9*g(y) - 2*i(y). Is t(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.35 + -14.55. Let t = 1 - 6. Which is the closest to u? (a) -2\/9 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*t, -2*z + 121*t = 119*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5172\/7 or 740?\nAnswer: 5172\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -170679*a**2 + 28*a + 115. Let h be s(-5). Round h to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + o**4 + 2 + (20*o**3 + 15*o - 15*o)*(-o - 5*o + 4*o).\nAnswer: -39*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 + 30 + -6) - (13 - 10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/(sqrt(8)*-3) - sqrt(14) - (sqrt(140) + sqrt(140)*2)\/sqrt(10))\/(sqrt(32) + (sqrt(2) - sqrt(18)*3)))**2.\nAnswer: 1183\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdydxyyyyyddxydy. What is prob of sequence ydx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a - 7. Let s = 441 + -438. Let y be 6\/s - (-4)\/1. Let m(j) = 8*j + 7. Calculate y*h(f) + 7*m(f).\nAnswer: 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.036 + 2.966. Let b = 2.9 - q. Sort 3, 0.5, b.\nAnswer: b, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.256 and 0.\nAnswer: -2.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 124 = 4*l. Suppose -3*u - l = -4*k, 2*k = 2*u + 11 + 7. Which is the smallest value? (a) u (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -4*m**7 - 2*m + 10\/3*m**3 + 0*m**5 - 20 + 0*m**2 + 0*m**4 + 0*m**6. Find the third derivative of o(k) wrt k.\nAnswer: -3360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 30057.51 grams?\nAnswer: 30.05751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 75006.\nAnswer: 375030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*h**4*q**2 - 60*h**4*q - 128*h**2 + 10*q**2 wrt h.\nAnswer: -408*h*q**2 - 1440*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/4*1*8. Let b = t + -20. Let r = 50 - -20. Calculate the highest common divisor of r and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*a - 14 = 78*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 497, -4, 3, 5 in descending order.\nAnswer: 497, 5, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-7680)*860*8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 300 + -288.05. Let r = 12 - m. What is the smallest value in 1\/5, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 - (-70)\/25). Suppose t = -t - 3*k + 256, -y*k - 422 = -3*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, 3, 49, 1 in ascending order.\nAnswer: -5, 1, 2, 3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3002 = -k - 3006 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - f + 1. Let d(x) = -18*x**4 + 42*x**3 - 29*x**2 + 5*x + 3. Let j(n) = -d(n) + 3*v(n). Let j(q) = 0. What is q?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/20)\/(-1)*25\/(-70)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**3 + k**2. Suppose 2*n + 10 = 6*h - 2*h, 4*h - 15 = -3*n. Calculate w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-22)*v)*v**(-9\/8)\/v)\/(v**(-2\/105)\/(v\/(v\/v**(-30)))))**(2\/39) assuming v is positive.\nAnswer: v**(-653\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51\/2 + (-6)\/(-12). Let p = -15 + k. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l**3 + l + (2*l**2 - 2*l + 2*l)*(521*l - 257*l - 136*l).\nAnswer: 257*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:16 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxccxcccccccc. What is prob of picking 1 x and 1 c?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4382198*c**2*o**3 + 835*c*o - 6500*o**3 wrt c.\nAnswer: -8764396*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Let z = g - 9. Which is the closest to 2\/7? (a) z (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17431 <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = -3*o - 23, -4*t - 5*o - 9 = 0. Suppose 5*y = 2*y + 6. Factor 3*r**y + 2*r**3 + 3*r**3 - r**2 + 3*r**4 - 10*r**t.\nAnswer: -r**2*(r - 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 - (-2)\/(-6). Let t(i) = 4*i + z*i + 0*i. Let o(d) be the second derivative of -d**4\/12 + 15*d. Give o(t(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:47 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**3 - 6*x**2 + 95*x - 6. Let n(t) = 14*t**3 - 6*t**2 + 96*t - 5. Let y(u) = 4*n(u) - 5*r(u). What is the tens digit of y(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27349 divided by 1\nAnswer: -27349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 23200 = 29886. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003 minus 6?\nAnswer: -3009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21492 and 3132.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.1954 - -0.7634. What is i rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 - -150. Suppose a + 34 = f. Sort -2, a, -1.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (11 - 18 - -18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12 = -2*u, -2*d - 2*d - 3*u = -48. Let y(v) = v. What is the tens digit of y(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -575*y - 6360. Determine p(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14232 (base 8) in base 3?\nAnswer: 22122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 20*r - 6. Let w be j(-19). Suppose -q + 19 = -2*t, 1 = 2*t + q + 14. Let x = w - t. Solve -5*d = 5*a + x - 6, 4*d + a = -15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 924*a**3 + 3*a**2 - a**2 + 3*a - 910*a**3 - 3*a**2 + 5*a to x*a + f + n*a**3 + d*a**2 + m*a**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -5. Let u = -16682806.999893 + 16682782. Let f = h - u. What is f rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 2) - 6 - (-321 + 392 - 12)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 + 5) - (-8 - (-9 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526714*y - 1053619*y + 526903*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 5*l + 17. Let j be d(7). Let q(h) = h**2 + 2*h + 3. Let g be q(-2). Solve -g*v = -2*v + j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3305*36\/(-126)*(-14)\/130. Let b = 1290\/13 - j. Which is smaller: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y + 3*n + 1250, -n = y + 313. Let t be (-13)\/52 + y\/4. What are the prime factors of (t\/(-8))\/((-2)\/(-8))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 264 + -262. Sort -3, 1, -2\/5, p in decreasing order.\nAnswer: p, 1, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 6*g**2 + 4*g - 16. Calculate the lowest common multiple of b(6) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45, 3, 1\/109, 21\/17?\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13416 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7178.369t to grams.\nAnswer: 7178369000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547464.\nAnswer: 2, 3, 22811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 285749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 20, -49, -116?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16624327 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*q**3 + 6*q**2 - 701.\nAnswer: 45*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 + -116. What is the smallest value in 3\/4, -1\/3, 1\/8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 10881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11101111 (base 2) to base 16\nAnswer: -ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-1)\/(-5)*(-75)\/45\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/15 + 124*o**2\/15 = 0?\nAnswer: -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/45 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 2116.819217?\nAnswer: -2117.119217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 35055*m - 562160.\nAnswer: 5*(m - 16)*(m + 7027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 6)*(-4*z**5 + 2*z**5 + z**5) + (z - 5*z**4 - z)*(-1 + z + 1).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4618.\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 57, 78, 85, 72, 33?\n\"Answer: -v**3 + 2*v**2 + 30*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -6*c**4\/11 + 32*c**3\/11 + 138*c**2\/11 - 68*c\/11 - 96\/11 = 0?\nAnswer: -3, -2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 40. Let v be p(-18). Calculate the common denominator of 125\/156 and 2*(-194)\/v*1.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117058?\nAnswer: 2, 107, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*s - 71*s + 6500 = 128*s for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 1. Let k = -2 - s. Let p = -118\/3 - -40. Put k, p, -5\/2 in descending order.\nAnswer: k, p, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 130197.\nAnswer: 1041576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.94 - 10. Let d = i + -0.34. Which is the biggest value? (a) d (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/43, -6534, -2\/21?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2 - 1) + 35. Suppose 0 = -2*a - 6*a + f. Factor 2\/7*y**2 - 2\/7*y**a + 0 + 4\/7*y - 4\/7*y**3.\nAnswer: -2*y*(y - 1)*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(420\/(-36)) + (-115)\/275\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2885*o**4 - 5*o**3 + 3*o**2 - 5215466*o wrt o.\nAnswer: -34620*o**2 - 30*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106 * -0.3.\nAnswer: 31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 7 in increasing order.\nAnswer: -5, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 16 = -2*m. What is the greatest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5518912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289177296.\nAnswer: 2, 3, 733, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4765, 9450, 14137, 18826?\n\"Answer: c**2 + 4682*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11410796?\nAnswer: 2, 2852699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7821 in -5, 4, 9, 23, 2\/13?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141945 = 5*y + 5*d, y - d = 17340 + 11041. What are the prime factors of y?\nAnswer: 5, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30793*k**6*n**3 + 2*k**2*n - 104*k*n**3 + 254 wrt k.\nAnswer: -3695160*k**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.8 (b) 0.1 (c) -2303 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -69, -151, -261?\n\"Answer: -14*j**2 - 12*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/(-174))\/(10\/6 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_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 z(o) = o**3 + 2*o**2 + 2*o + 3. Let n be z(-2). Let r be 6\/24*0 + (3 + -4)*1. Which is the closest to n? (a) 2\/3 (b) r (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 31 = 5*s, -13*g + 17*s = 19*s - 135 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -467*j**2*w**3 + 39*j*w**3 - j wrt j?\nAnswer: -934*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5263 + -5233. What is the greatest common factor of d and 5385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**2 - 3. Let j(m) = 41*m**2 - 14. Calculate 11*h(q) - 2*j(q).\nAnswer: 6*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1666)*2)\/(sqrt(32)*-4).\nAnswer: -7*sqrt(17)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-130)\/(-6) + (-2 - -5). Suppose 0 = x*s - 67*s - 3. Solve 5 = s*h + 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -21. Let l be (5 - -1)*(-12)\/(-9). Suppose -3*r + l + 2 = -i, -5*i + 2*r + 15 = 0. What is the lowest common multiple of i and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 156, 316, 476, 636?\n\"Answer: 160*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124.5 + -124.51354. Round p to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 55748 and -102.34.\nAnswer: 55645.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195 * 3663.\nAnswer: 714285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 409*m + 5852. Give p(214).\nAnswer: 1786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + q + 4*v + 16 = 0, -4*q = -v - 10. Suppose q*y = -4*y + 1386. Let x = 452 - y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 - 199. Solve 0*r + 12 = -n*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*y = -0*y + 22, 3*y = 5*j - 71. Suppose 42*q - 1760 = 20*q + 12*q. What is the highest common factor of q and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from {g: 1, n: 2, l: 2, t: 9}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104066, 208139, 312212, 416285, 520358, 624431?\nAnswer: 728504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(56)*-2 + (sqrt(56) - sqrt(224)*3 - sqrt(56)))\/(sqrt(32)\/(2*-2*sqrt(4))).\nAnswer: 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*s**4 - 3969153*s**2 + 168184022.\nAnswer: -116*s**3 - 7938306*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/202734 and -5\/16.\nAnswer: 1621872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 59841?\nAnswer: -5983b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 13930?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 6*b**2 - b - 4. Let n be u(-6). Let y be n\/4*(0 + 8). Suppose 3*x + a - 5 = 4, y*x - 5 = a. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 43120620 divided by 33980\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 42*a - 15 = 0. Let u = a - 5. What is the remainder when 316\/10 + (-4)\/u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 20*y + 25. Let q be o(-20). Solve 3*g + 2*g - q = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {z: 1, o: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -346?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 5. Let y be q(0). Let o = -22503 + 22506. What is the closest to y in 0.1, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6804.2119 to the nearest one hundred.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2281*x**3 + 525346*x - 262680*x - 262666*x.\nAnswer: 2281*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60)\/120*1\/(-2) + 57406\/8.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 32.5. Let t be 10\/(-25) + (-44)\/(-10). What is the closest to -0.18 in t, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -9)\/((-3)\/(-2400)). Round m to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/1727 and -24\/20567?\nAnswer: 226237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2841 and -71\/350.\nAnswer: 994350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -19. Let d be (-3)\/(-15) - z\/(-5). Suppose -i = 2*j - 10, -2*j + d*j - 26 = 3*i. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63880, -63861, -63844, -63829?\nAnswer: -63816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 0*t**3 - 1\/30*t**4 + 0 - 5*t**2 - 1\/150*t**5 + 0*t. What is g in m(g) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.401381 milliseconds to hours.\nAnswer: 0.0000153892725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 25*c + 40*c + 387, 3*l - 5*c - 4 = 23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d**2 + 7. Let w(c) = -21*c**2 - 12. Determine 11*m(k) + 6*w(k).\nAnswer: -5*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10118799 to the power of 1\/2, to the nearest integer?\nAnswer: 3181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 1)*(3*p + 0*p + 0*p)*(1 + 4 - 4)*(0 - p + 0) - 6*p**2 - 7 + 7 + (4*p + 0*p - 3*p)*(-2*p + 6*p - 5*p) - 8*p**2 + 10*p**2 + 16*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10)*20\/12. Let q = 9 + -9.1. Let m = -77 + 74. Which is the closest to q? (a) i (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -1\/12269, -165, -0.1 in ascending order.\nAnswer: -165, -5\/4, -0.1, -1\/12269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 6. Let i = 12 - 13. Let k = 2 + i. Which is the third biggest value? (a) k (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20222, 40522, 60816, 81104, 101386, 121662?\nAnswer: 141932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15850, -63402, -142654, -253606, -396258, -570610?\nAnswer: -776662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/40)\/1*(-54)\/(-27)*-2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 4*r + 14*r + 9 = 4*x + 119, r - 20 = 5*r for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Let b be (0 - (-504)\/22) + ((-5967)\/(-297) - 20). Differentiate -22 - 98*j**2 - b + 13*j**n + 98*j**2 wrt j.\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7775 is divided by 939?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 0*r**3 - 2*r**3 + (-3*r**2 + 2*r**2 - r**2)*(-4*r + 5*r + 0*r + (4 + 2 - 4)*(-4*r + 0*r + 2*r) - 4*r - 5*r - 17*r).\nAnswer: 57*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d - 2*d)*(212 - 484 - 1092) as m + r*d and give r.\nAnswer: 2728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -26. Let b(n) = -n**3 + 30*n**2 + 73*n - 58. Calculate the remainder when b(32) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -g + k, -3*g + 12 = 3*k. Suppose -4*p = -4*h + 22 - 6, -h = 2*p - 10. Suppose -m = -g*m + h. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 4*k + 115. Let c = -53 - k. Solve -5*q - c = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 1. Let r(n) = 6*n + 4. Suppose 9 + 3 = 3*s. Let c(x) = s*i(x) + r(x). Let z(w) = -3*w. Calculate z(c(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/24 and (13\/4628*-30)\/(9\/(-20)).\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 5*b - 427 = 22*i, 0 = -4*i - 5*b + 1608. What is the remainder when i is divided by 131?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 75*v**2 - 5563*v + 43. Determine m(46).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 10*b**2 + 7*b + 65. Calculate the remainder when 290 is divided by u(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146*(-22683)\/(-6) - (-5)\/(10\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9039*b + 189790 + 261764 + 63669 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 4*v**3 + 3*v**3)*(2*v**2 - 3*v**2 + 5*v**2) + 47*v**5 - 37*v**5 + 438*v**5 + 22*v**5.\nAnswer: 466*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191225 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162842743 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, 2, 1967201 in descending order.\nAnswer: 1967201, 14, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27c11c (base 13) to base 3\nAnswer: 1211020022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(-12*3285\/2640 - -15)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01756, 0, -2\/3, 3, -4\/5?\nAnswer: -0.01756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 7. Is 4 a factor of x\/(-42) + (-88)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3664947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 6) to base 4.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2\/2*0. Suppose h = 4*c + 16, -c = -y - 6*c - 21. Let l be 2\/(y*2)*-13. Calculate the highest common factor of 104 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10855840 divided by 40.\nAnswer: -271396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:56 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3874, -3868, -3852, -3826, -3790, -3744, -3688?\n\"Answer: 5*l**2 - 9*l - 3870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2. Let y(v) be the first derivative of v**4\/24 - 3*v**2 - 2. Let n(k) be the second derivative of y(k). Determine n(a(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -18041731\nAnswer: -72166924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 + 7989324*t - 63914784 = 0. What is t?\nAnswer: -2663116, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 9*r**2 + 3. Let s be y(-9). Suppose 0*p - 4*p + 3*d = -s, -p - d = -6. Find the first derivative of n**3 - 3 + 6 + n**3 + 2*n**p wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(0 - (-2 + 4)). What is the least common multiple of (-2)\/(-10) + n\/5 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*j - 135*j - 1 + 157*j to the form p*j + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18497291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*6*(sqrt(2) - sqrt(50)))**2 + 3.\nAnswer: -960*sqrt(2) + 18460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-500)\/95) + 3\/(-4). What is the second smallest value in -0.3, -2, q, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lixxlllxlllliixxlxz. What is prob of sequence xxx?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 10*q - 5. What is n(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 1678 - 846 = 0. Calculate the remainder when 200 is divided by k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 32*l - 40. Let x be (-438)\/(-803) + 760\/(-22). Calculate b(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2816536 and 410.\nAnswer: 14082680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 14003.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*z + z - 87 = 0, 2*j - 2*z - 42 = 0. Let q = -3 + j. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152576499?\nAnswer: 3, 503, 101111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1753.\nAnswer: 4\/1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26 + ((8 + -9)*-4 - 7). Solve -f*z + 22 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(7) + sqrt(7)) - (3*(sqrt(7) + -2 + sqrt(7)))**2.\nAnswer: -288 + 74*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10421.95 + 8414.9. Round f to the nearest 10.\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 204?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3188 + -5?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**8*b*b)\/((b\/(b\/(b*b**(1\/3))))\/b))\/((b\/(b\/b**(1\/6)))\/(b*b**5)) assuming b is positive.\nAnswer: b**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065?\nAnswer: 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 3, -2, -7, -12?\n\"Answer: -5*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*y + 23. Let t be 0\/(-1 - (y + -8)). Suppose 3*f - 9*f + 15414 = t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqllutoqqttqqq. What is prob of sequence to?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-3)*3\/2. Let g = r - 0. What is the first derivative of 0 + g*h + 0*h + 1 wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(117) + (sqrt(117) + 0)*-6 + sqrt(117) + sqrt(117))*5 + 4)**2 + 5.\nAnswer: -90*sqrt(13) + 26331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1173)\/(-34))\/((-1)\/(-2)). Suppose -4*h + 2*o - 240 = -8*h, -h + a = 5*o. Calculate the highest common factor of h and 472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = 4*o, 0 = 3*x + 2*o - 10 - 13. Suppose 4*u = -5*k + u + 278, -u = -4*k + 219. What is the highest common factor of x and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let q be 6\/4*1040\/540. Let p = -32\/9 + q. What is the third smallest value in 1.1, d, p?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-154)\/33*(-6)\/7. Let w be ((-1)\/2)\/(m\/8). Let j be (-1 + 7\/5)\/2. What is the smallest value in 3, -4, j, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnnrjjrcc. Give prob of sequence cjrn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17 - (-525)\/(1 - -20). Which is the second smallest value? (a) m (b) -0.04 (c) -4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324613 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: What is the remainder when 13936 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22828 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(242) - (sqrt(242)*1 + -3)) + ((4*(sqrt(242) + -1 + sqrt(242) + sqrt(242)))**2 - sqrt(242)) + -5).\nAnswer: -34857 + 1067*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 94. List the prime factors of (-952)\/x - 5\/60*4.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/11 and 46\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6582191 is divided by 1715.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 94\/(-14) + (-2)\/7. Let l(z) = 12*z - 1. Let p be l(1). Let c = p + f. Put c, 5, 3 in decreasing order.\nAnswer: 5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**18*q*q)\/q**(-4\/31)*q**(-3\/32)*q\/((q\/(((q\/q**(5\/8))\/q)\/q))\/q) assuming q is positive.\nAnswer: q**(19255\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Let p = 5.12 + -0.12. Let j = 5.2 - p. Which is the smallest value? (a) -0.5 (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.057? (a) -25 (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 3. Let s be h(3). Calculate the highest common divisor of 15 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 0)\/((-24)\/(-16)). Let d(k) = -p*k**2 + 6*k**2 + 10*k**2 - 2*k**3 + 14 + k**3. Is 7 a factor of d(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459105 divided by -5?\nAnswer: 91821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*a**2*s**3 - 5*a**2*s - 20850*a**2 + 4923*a*s**3 - 175*a*s wrt a.\nAnswer: 30*s**3 - 10*s - 41700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, i: 4, k: 9, j: 1, t: 4}. Give prob of picking 4 t.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 + w**4\/3 - w**3\/2 + w**2. Let f be g(7). Let x = f + 27. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 4. Suppose 3*o - 4*o + 5 = 0. Suppose -o*f = 2*f - 7. Let r(u) = 1. Suppose 24*c + 12 = 28*c. Determine c*r(d) + f*b(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 - (1 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(931)*-3 + sqrt(931)).\nAnswer: 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*f - 5657 - 3062 - 4761 = -134*f for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 11:09 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - a0?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h**5 + 0*h + 0*h**3 + 10*h**2 + 0*h**6 - 43\/105*h**7 + 0 + 77\/24*h**4. What is the second derivative of v(t) wrt t?\nAnswer: -1032*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*j - 22, 9*o - 4*o - 30 = 5*j. Let g(w) = -w**2 - w - 1. Let i(f) = 7*f**2 - 2*f - 135. Let y(s) = o*g(s) - i(s). Differentiate y(v) wrt v.\nAnswer: -22*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.8 and 2.093?\nAnswer: 22.6044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -591\/2044 + 1\/292. Sort x, 4\/9, 5 in decreasing order.\nAnswer: 5, 4\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 1, a: 3, d: 1, e: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -111647 less than -0.3?\nAnswer: 111646.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1635 - 1630. Which is bigger: p or -150?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = -3. Let z = 3.8 + -0.2. Let a = z + -4. What is the nearest to y in 4\/7, a, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1308\/(-218))\/(2\/6 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151810768.\nAnswer: 2, 9488173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 6*c - 5*h = 5, 4*h - 4 = 0. What is the third biggest value in c, -0.1, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95827823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 2512 - 2057. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 97 = 2*d + 107, d - 25 = 5*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3543034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6 - 3*k**3 + 4*k**3 - 3*k**2 - 2*k**3 - 3. Let n be w(-3). Let j(d) = d. Determine j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4282203 litres in millilitres?\nAnswer: 428.2203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20125419.\nAnswer: 3, 43, 156011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -649.3067 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2814 + -2819. Which is the nearest to -4? (a) -1\/4 (b) z (c) -12 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/75383 - -2788880\/21936453. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1718971540 to the nearest one million.\nAnswer: 1719000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-10 - -8) + -24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/20 + q**4\/3 + 23*q**3\/6 - 10*q**2 - q + 321. Calculate z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12*s**2 - 1325*s + 20979. Determine l(19).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -499, 11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:08 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*c = 2*j - 51, 3*c = 3. Let k(n) = 69*n**2 + 32*n + 5. Let w(p) = 14*p**2 + 6*p + 1. Let u(s) = j*w(s) - 2*k(s). What is u(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 5 = -12*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, -1.3, 5\/379, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215486 or -215473?\nAnswer: -215486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2. Let n be (-1216)\/144*3\/2*-39. Let g(t) = -11153*t + 988. Let a(k) = -136*k + 12. Let h(b) = n*a(b) - 6*g(b). What is i(h(x))?\nAnswer: 141512*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10244, -40997, -92252, -164009, -256268, -369029?\n\"Answer: -10251*l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1189 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 9*p**3 + 0*p**4 + 73 - 2*p**4 + 29 to c*p + g + b*p**2 + k*p**4 + d*p**3 and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 168, 97, -84, -429, -992, -1827, -2988?\n\"Answer: -9*c**3 - c**2 - 5*c + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from wkd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9617 is divided by 62?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1 + 1 + -2. Let b be (-29)\/(-4) - (-3)\/(-12). Suppose -4*p + 13 = -b. Put i, p, 4 in descending order.\nAnswer: p, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-12))\/(h**10\/h*h*h)*(h**(-3))**(-2\/39) assuming h is positive.\nAnswer: h**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Let s(t) = 6 - h*t + 9*t - 3. Suppose 2*j + 10 = 7*j. Let m(n) = -17*n - 13. What is j*m(p) + 9*s(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 906 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*l**3 + 659*i*l - 672*i wrt l.\nAnswer: 3*i*l**2 + 659*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-138 + 177)) + -20 + -2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11571381.679146 + 11571392. Let z = 10.32 - h. Round z to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33329.3 and 5.\nAnswer: -166646.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243 - 114 - 107 - (-8 - (0 - -2)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -465229\/78470 + 1\/5605. Find the common denominator of -91\/24 and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-6 - 5) + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -2*s**6\/45 + s**5\/6 - 5*s**3\/9 + 2*s**2\/3 + 5848*s + 2. Determine g, given that l(g) = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228\/(-18)*57\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/2 - 603*s**3 - 35295*s**2\/2 - 147726*s - 300510 = 0.\nAnswer: -371, -18, -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161399?\nAnswer: 3, 101, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 235726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000000110111011111 (base 2) to base 3.\nAnswer: -11221100210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*v**3 + 93*v - 8874?\nAnswer: 60*v**2 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {r: 1, c: 7, m: 6, w: 2, g: 1}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -246 + 438. Put v, -1, -5, 2 in descending order.\nAnswer: 2, -1, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 22*b + 59. Let w be v(-6). Let t(m) = -18*m**3 + 2*m**2 + 2*m + 1. Calculate t(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59830 - 9333775543\nAnswer: -9333835373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 169066480*g\/3 - 1786467166224400\/3.\nAnswer: -4*(g - 21133310)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 936 - -838. Suppose 5*d - 4864 = -l. Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3863*b**3 + 3990*b**2.\nAnswer: -23178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -22*m**3 - 8*m**2 - 8*m + 6. Let b(i) = -15*i**3 - 5*i**2 - 5*i + 4. Determine 8*b(p) - 5*z(p).\nAnswer: -10*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -56*b + 77. Let p(o) = -3*o + 4. Give 4*d(j) - 77*p(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.118543 + 0.11796879. Round a to five dps.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8*a**3 - 37*a**2 + 18*a + 22. Let t(z) = 17*z**3 + 80*z**2 - 38*z - 46. What is 13*g(d) + 6*t(d)?\nAnswer: -2*d**3 - d**2 + 6*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.119 smaller than -138165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3966 and 0.038886?\nAnswer: 154.221876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**4\/6 + 40*v**3 + 3600*v**2 + 26*v - 11. Factor w(m).\nAnswer: 2*(m + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (16 - (-4 + -9 + 6))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 + 630 + (-2)\/(-1). Let g = -653 + n. Do -37 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 214*p = -212*p + 34, 3*t - 50 = 4*p. Sort -1, 1, 5, t, 2.\nAnswer: -1, 1, 2, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7 = 18. Let b(t) = -t**2 + 7*t - 13. Let m be ((-78)\/15)\/((-4)\/10). Let j(d) = 2*d**2 - 14*d + 27. Let c(a) = m*b(a) + 6*j(a). Give c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5092993360.\nAnswer: 2, 5, 7, 13, 139, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 19}. Give prob of sequence nnnj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o + 3096 + 1116 = -628. Suppose 3*w + 2*w - 110 = 0. What is the greatest common divisor of o and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834548696.\nAnswer: 2, 104318587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3921 is divided by 556?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1220103?\nAnswer: -1220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/5))**(-14) assuming t is positive.\nAnswer: t**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011110101011 - 1?\nAnswer: -10011011110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22676 and 1247514471?\nAnswer: 5669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t + 3*v + 1521, 0 = 4*t - 5*v - 1527. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5963 * -1.1.\nAnswer: -6559.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 3, 4\/379, 4.7?\nAnswer: 4\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15797739 is divided by 532?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18569659\/123292 - 1958\/13. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -28, -36, -44, -52, -60?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6236 and 404?\nAnswer: 629836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*t = 19*t + 39*t + 1932 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 465 + -464. Is 19\/16 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -5, -3 in increasing order.\nAnswer: -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900) + 2 + 1)) + -5)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137 or 2\/3?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*k, -3*s + k + 9 = -2*k. Let a(q) = -2. Let i(b) = b + 11. Let y(j) = s*i(j) - 11*a(j). Calculate the remainder when y(-12) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.5, -124, 0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1142, -2271, -3394, -4511?\nAnswer: -5622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -37*g**2 - 209*g - 6. Calculate the smallest common multiple of x(-5) and 81.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14666, -30323, -45980, -61637?\nAnswer: -77294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*a - a - 15 = 0, 5*k + 25 = 4*a. Let y = -12 + 17. Suppose -9 = n - 2*s - 3*s, y*n - 2*s = 1. Sort 0, n, k in decreasing order.\nAnswer: n, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 198*a - 17513. Calculate c(89).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 206556830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026028789 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36210322 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 13. Let d(r) = -5*r**2 + 30*r. Let a(w) be the first derivative of 3*w**2\/2 - 50. Let j(o) = -10*a(o) + d(o). What is j(g(z))?\nAnswer: -20*z**4 + 260*z**2 - 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 0*n**2 + 25 + 4*n - n**3 - 2*n**2 + n - 3*n**2. Let v be w(-5). Let y = 6.9 + -1.9. Sort -1, y, v, -2\/7 in increasing order.\nAnswer: -1, -2\/7, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t + 26950 = 44*t. List the prime factors of t.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36936 - -8?\nAnswer: 3693e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(3*u + 2*u - 4*u) + (0 - 6 + 5)*(-3 + 3 + u) + 2 - 2 - u - u - u + 3*u - 15*u + 16*u + 13*u to t*u + b and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 17 = 3*w + 1, 3*w + 16 = -s. Let v be 15*(-1)\/(-6)*s\/(-2). Solve 3*b = 4*z - 17 - 3, -v = -2*b - 4*z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l - 15 = 0. Let z(f) = f**2 - 2*f - 5. Let d be z(l). Solve -3*c - d = -2*t, 2*c - 1 = -4*t + 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40202 - 40202 - 75*h**3 + 71*h**3 - 4*h**2 + 4*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -2*l**2 - 2*l - 1\/390*l**5 - 1\/52*l**4 + 0 + 0*l**3. Let r(j) be the first derivative of c(j). Factor r(d).\nAnswer: -2*d*(d + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18500017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/9)\/((-185)\/(-1665)). Solve 3*n - 2*z + 9 = 6, -v*z + 17 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -426 + 429. Let a = 172\/21 - 55\/7. What is the third biggest value in a, -0.5, 26, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from {o: 1, x: 2, f: 1, s: 2, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 15*o**2 - 9*o + 22*o**2 - 17 - 14*o**2. Let h be n(8). Let m be (-150)\/(-3 - 0)*(-10)\/h. Solve -q - 4*q = -m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79351007*z**2 + 16*z - 1604483?\nAnswer: 158702014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (-10)\/25 - 21\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 4 (b) -0.069 (c) -22240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k - 3*k)*(5*k + 2 - 2)*(-3 + 3 + 13*k).\nAnswer: -130*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*-2*(-4)\/24. Let x(i) = 2*i + 4 - 174*i**2 + 353*i**2 - 180*i**2. Give x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -10. Suppose t = -2*t + c. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -751*y**2 + 152 + 51 - 831 wrt y?\nAnswer: -1502*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-28))\/(5670\/(-9261)))\/(10\/1440*12).\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*h - 84 + 84)*(2 - 2 - 3*h**3) to l*h**2 + n*h**4 + m*h + u + x*h**3 and give n.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65900 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 27*l**4 + 17*l**3 - 4*l + 373. Let d(h) = -134*h**4 - 86*h**3 + 22*h - 1865. Let b(a) = 2*d(a) + 11*k(a). What is the derivative of b(c) wrt c?\nAnswer: 116*c**3 + 45*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 + 0*h**5 - 4*h**5 + (-2*h**5 - 4*h**5 + h**5)*(-85 - 88 + 38).\nAnswer: 671*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.369, 0, -4, -3, 2, -1\/3 in increasing order.\nAnswer: -4, -3, -2.369, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/32 - (-22)\/(-8). Let a be 3\/d - (4 - 6). Let -1\/4*c**4 + 0*c**3 - a*c + 0 + 3\/4*c**2 = 0. Calculate c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/10*-10*1. Put 0.13, q, -4 in decreasing order.\nAnswer: 0.13, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 + 65*k**4 + 600*k**3 - 7920*k**2.\nAnswer: -5*k**2*(k - 12)**2*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5012 and 77.\nAnswer: 55132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12. Suppose 2*b - l + 12 = h, 0 = 2*b - l - 3*l + 18. Let z = b + 9. Solve r - 9 = z*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -50 + 13 + (-7 - 0) + -12.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (0 - 6)\/(3\/(-34))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/7 + 122759248*n\/7 - 1883729121190688\/7 = 0 for n.\nAnswer: 30689812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 165544 = 3*f - 165487, -2*f - 58 = 4*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -192914 > -193007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1668270 and 22.\nAnswer: 18350970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72919385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319402936 and 315477.\nAnswer: 2874626424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60\/11? (a) 0.3 (b) -39 (c) 3\/2 (d) -4\/5 (e) -2\/63 (f) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -1210.\nAnswer: -1210, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 0*y + 0*y - 2. Let k(l) = l - 8. Let s = 11 + 1. Let j be k(s). Let q(t) = 2*t - 2. Determine j*q(w) - 3*u(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24580 - 12341 = -w + 5*k, -4 = k. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -144, -139, -132?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23431 (base 9) to base 4\nAnswer: -3310231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -833502 (base 13) in base 15?\nAnswer: -407a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221634.\nAnswer: 2, 3, 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -33. Let b(w) = w**3 - 9*w**2 + 12*w + 13. Let g be b(l). Is 7 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 12. Suppose -3*q = 4*v - 52, -2*q = -v - 0*v - 20. Let t be m(q). Suppose -4*l = -z - 85, t = 5*z - 14 - 1. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11191 and 5890?\nAnswer: 111910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105.28 + 110.28. What is the fourth biggest value in -5, b, -23, -0.5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187119.\nAnswer: 109, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 7, x: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 23*w - 98. Let h be q(-6). Solve 4*z + 40 = h*a, -a + 10 = a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y - 40. Let k = 7 - 17. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**6\/120 - r**5\/20 - 3*r**2\/2 + 2. Let f(q) be the second derivative of z(q). Find the third derivative of f(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24882508.\nAnswer: 2, 7, 888661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6248 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283018 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - -27. Let w be (-80)\/1*(-5)\/2. Let m = w - u. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*121.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, 530, 19, -5 in increasing order.\nAnswer: -5, -4, 3, 5, 19, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-11\/6)*q)\/(q\/q**1))**45 assuming q is positive.\nAnswer: q**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4480489 to the power of 1\/2, to the nearest integer?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 463646833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -17 - 3. Suppose -f + 26 = 4*w, -k = -3*w - 2*f + 2. What is the remainder when 14 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100346 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: What is the third root of 159183259 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/8015 (b) -0.1 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(88)\/(sqrt(1152) - sqrt(1152)*2 - sqrt(1152)) + 0.\nAnswer: -3 - sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 3:42 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*198\/(-42) - 72\/126.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a + 6. Let k = 11 - 8. Let z(u) = 13*u - 18. Let o(y) = k*z(y) + 8*p(y). Let i(x) = x - 1. Let g be 6\/(-4 - -1) + 3. What is g*o(h) - 5*i(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4514a1 (base 14) to base 10\nAnswer: -2347045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v**2 - 2. Let w(m) = 2*m**3 + m**2 + 3. Suppose -61*r = -57*r + 16. Let p be 2 - ((0 - -7) + -2). Calculate p*w(u) + r*g(u).\nAnswer: -2*u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igf. Give prob of picking 1 i and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 3*o, -2*h + 24 = -o. Suppose h*t - 550 = 5*t. Calculate the remainder when t is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 16*t**2 + 15*t - 2. Let k(h) = -6*h**2 - 9*h + 1. Let i(u) = 2*k(u) + n(u). Let g(p) be the first derivative of 3*p**2\/2 - 2. Determine i(g(c)).\nAnswer: 36*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4242 = -2426*p + 2628*p. Solve -15*y - 5*a = -12*y + 5, 5*y - p = -a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 23 - 1 - 3*d)*(41 + 49 + 39 - 5).\nAnswer: 372*d - 2976","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -69 + (-33 - (-193 + 104))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flq when three letters picked without replacement from {l: 3, f: 5, q: 1}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5791\/11 - -526. Find the common denominator of q and 51\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 5 (c) -0.21 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 164*h**2 + 1546*h**2 + 1455*h**2.\nAnswer: 2837*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -197. Find the common denominator of 151\/24 and (4 - (h + 2))\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.899 and 9.1.\nAnswer: 10.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*d - 47 = 0, -29*m + 9*d = -m + 13*d + 348 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*p + 410*p + 243*p in the form m*p + u and give m.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 1 - 1)*(2471*y**3 + 3288232*y**2 - 3288232*y**2).\nAnswer: -7413*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - 10*c**2 + 7*c + 2. Give r(6).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -78?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 30 + -18 - -9\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1722d (base 14) to base 8.\nAnswer: 161311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.065, 1, 0.4, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 126\/99 - (-18)\/66. Which is smaller: d or -23\/170?\nAnswer: -23\/170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 16, x - 5*x + 6 = 2*u. Let h(v) = -v - 3. Let z(y) = 29*y + 3. Let g(i) = -80*i - 9. Let q(r) = 4*g(r) + 11*z(r). Determine u*q(w) + 4*h(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q - 20, 4*n - 4*q = 24. Let v = n - -53. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*r + 72*r = 3560 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740 smaller than 1628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -26*t**2 + 6. Let c be u(-1). Which is greater: c or -316\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 901023, 901022, 901021, 901020?\n\"Answer: -i + 901024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + 1a6d0?\nAnswer: 1a6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475854.75 minutes to weeks.\nAnswer: 47.2078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 472198547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose -4*n - v - 24 = -5*v, i*n - 3 = -v. Let m = n - -2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 460*g + 524*g + 82*g - 310*g + g - 2*g - g + (6*g - 4*g + 2*g)*(1 - 3 + 4) - 2 + 2 - 4*g to the form t*g + w and give t.\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -20790*w. Let y(a) = -2*a. What is t(y(k))?\nAnswer: 41580*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74708 and 361912.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -69529, -3, 22, 4 in decreasing order.\nAnswer: 22, 4, 3, -3, -69529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -471\nAnswer: 4\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 8*i + 85. Sort 1\/4, i, -7.\nAnswer: -7, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 13) in base 9?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 4*p - 3 - 15, 2 = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17514 is divided by 1023.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4014, -3126, -2244, -1368, -498, 366, 1224?\n\"Answer: -3*f**2 + 897*f - 4908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l - 667 = -135*l - 20443 for l.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 8:48 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 smaller than 67924.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*j - 42*j + 45. Solve 0 = -4*r + 2*l + 4 - 6, -j*r - 4*l + 30 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5977.3836 minus -4?\nAnswer: -5973.3836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/10 - 2*i**2 - 3233*i. Let k(f) = 14*f - 15. What is q(k(c))?\nAnswer: -1176*c**2 + 2520*c - 1350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2 + z**3 - 4 - z**2 + 3 + 0*z - z + 2*z. Let w(b) = b**3 + 6*b**2 - 6*b - 6. Calculate -w(g) - 6*y(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -2520?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2146748607\/12328 + 174136. Is l at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 9. Calculate d(5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3399152 take away 8.193?\nAnswer: -3399160.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o*o**0)\/o)))\/o)**(-50\/3)\/(o**(-10)*(o\/(o\/o**(-5)))\/o*o*o) assuming o is positive.\nAnswer: o**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 160847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -92 (b) -5\/3 (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10978 or -10974?\nAnswer: -10974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 3, 0, -2, 2 in increasing order.\nAnswer: -50, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 91.1. Let x = -2 + 2.02. Let a = -2.02 + x. What is the closest to a in 3\/5, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -4*w**3\/3 - 150*w**2 + 304*w - 258. Factor d(r).\nAnswer: -4*(r - 1)*(r + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-101 + 77 - 88)*(-f**4 + 2*f**4 - 3*f**4) as y*f**2 + l*f**3 + b*f**4 + s + z*f and give b.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/11 + 18*v**3\/11 + 52*v**2\/11 + 48*v\/11.\nAnswer: 2*v*(v + 2)*(v + 3)*(v + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Let p = -0.9 - -0.7. Let n = -0.1 - p. Which is the third smallest value? (a) n (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*y = 427 + 1171, 5*u - 1594 = -2*y. Let k = -254 + 224. Find the common denominator of (u\/(-8))\/(k\/(-10)) and 19\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1207, 1204, 1199, 1192, 1183?\n\"Answer: -x**2 + 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 23045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (12 + 2)) + 1 + 110 + -231 + 119.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 10*z + 164 = 0. List the prime factors of -3 - z\/28 - 3\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g**2 - 4*g**2 - g**2 - 5*g**2. Determine n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 50381406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8648 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*u + 4, -3*a + 3*u + 31 = a. Let s(q) = 5. Let k(t) = t - 15. Determine a*s(v) + 2*k(v).\nAnswer: 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1467.808 kilograms to milligrams.\nAnswer: 1467808000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -468600 divided by 660?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3658780045 and 6185.\nAnswer: 6185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9914877 and -0.11?\nAnswer: -1090636.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 29214?\nAnswer: 5842.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 27, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1217\/16794 + -1\/622. Suppose 66 - 62 = 4*f. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 + -14?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 154 = 52 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75933979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(0*h + 0*h - 2*h**3) - 2*h + 2*h - 15*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 9) to base 4.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:08 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -9*o**3 - 359*o**2 + 72908*o - 555680 = 0.\nAnswer: -115, 8, 604\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*k + 4*k - 11*k)*(0 - 6 - 3)*(0 + 0 - 2*k) + (-7*k + 4*k + 2*k)*(k + 2*k - k) + 0*k**2 - 4*k**2 + 2*k**2.\nAnswer: 500*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 1, d: 4, i: 3, z: 3, r: 1}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*x - 59*x - 1116*x - 1 - 1 - 2)*(-1 - 4*x**2 + 1).\nAnswer: 6004*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 11:46 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y + 6*y)*(y - 5*y + y) + 65 + 15*y**2 - 65.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 638 and 8?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28607670 by -6487.\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = -227*n - 84*n - 14*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50176 and 1519?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l**2 - 16*l - 3 + 6 + 10*l**2. Let i be p(-7). Calculate the highest common divisor of i and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 25 = z, z = -5*a - 305. Let l = -36 - a. Let v = -12 - -25. Calculate the remainder when l is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 - 120. Solve -5 = 2*h + 3*n - r, -3*h + 5*n = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 25*z**2 - 126*z - 1059. Is q(-9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*d - 96*d + 12. Solve d*o + 2*o = -4, -5*z = -5*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140 + -0.4.\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.096 + -1.016. Let h = j - -0.92. Let l be (-3)\/3 + 11\/13. Put 1.2, l, h in decreasing order.\nAnswer: 1.2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110 (base 2) in base 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/300)\/((122\/(-671))\/((-324)\/22))\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001100 - -110100001011110?\nAnswer: 110010110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 2)*(11 + 18 - 22)*(5*h - 2*h - 5*h)*(4 - 2 + 1) - 18 + 18 - 2*h to the form y*h + z and give y.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.13831, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9008094 microseconds to nanoseconds.\nAnswer: 900.8094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, -218193 = -11*m + 8*m + 2*x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4307841 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -1\/240*m**6 - m**2 + 1\/120*m**5 + 0 + 0*m**3 + 1\/24*m**4 + 0*m. Factor p(t).\nAnswer: -t*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13685 - 15727. Which is smaller: -0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**2 + 77*w - 430. What is r(16)?\nAnswer: 3618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15180985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 665485001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 677, 676, 675, 674, 673, 672?\n\"Answer: -x + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7808, 0.4, 0.14, -1\/5 in decreasing order.\nAnswer: 0.4, 0.14, -1\/5, -7808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 - 23 = 0. Let q = 1.164 - 0.164. Which is the third biggest value? (a) g (b) q (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + (-89 - (-30 + -81)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(567)*-3*-5 + -3)**2 + 4).\nAnswer: -255176 + 1620*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.01 * -272338\nAnswer: 275061.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y = 8*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4141.\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 2189*g**4\/24 + 2426*g**3\/3 + 2046*g**2. Differentiate d(l) with respect to l.\nAnswer: 2189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(475) + sqrt(475) + 0)*5 - sqrt(475)) + 0))**2*4.\nAnswer: 5540400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/13, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 3, k: 2, o: 9}. What is prob of sequence gkgk?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10298)\/(-8) + 9\/12. Let u = 2386 - p. Find the common denominator of -19\/20 and 2 + -6 - u\/(-132).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.894 - 3.894. What is the closest to 0 in 19, s, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*u + 5 = 0, 3*p - 5*u - 9 + 22 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 27 = -6*m. Suppose 8*n - 20 = 3*n. Solve 0 = 4*z - 3*v + 1 - m, -z + 3*v + n = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/26 and 39\/14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3483319, 6966546, 10449763, 13932964, 17416143, 20899294, 24382411, 27865488?\nAnswer: 31348519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -10*w + 11*w. Let c be (4 - (w + -1))*2. Let q(u) = 3*u**2 - u - 1. Let z be q(c). Calculate the greatest common factor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 17*b - 1. Let c be s(-24). Let f = c + 766. What is the lowest common multiple of 7 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4236, -8439, -12642?\n\"Answer: -4203*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -72. Let a(c) = -11*c**4 + 9*c**3 + 15*c**2 - 48*c - 43. Let h(m) = 6*m**4 - 4*m**3 - 8*m**2 + 24*m + 22. Let j(d) = i*h(d) + 4*a(d). Factor j(u).\nAnswer: -2*(u - 3)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**3 - 11326147*a**2 + 70315657*a?\nAnswer: -24*a - 22652294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/25 of a litre?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*f - 121, f - 14*t + 13*t + 29 = 0. Let z(n) = n**2 - 2*n - 5. Let v be z(7). Let p = f + v. Solve -p*c = -3*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 18072*k + 689624.\nAnswer: -2*(k - 9074)*(k + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - (sqrt(300)*1)\/sqrt(5))\/(sqrt(192)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-45)\/(-48)) - ((-216)\/(-30))\/9. Sort 5, a, 3, -71 in decreasing order.\nAnswer: 5, 3, a, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*((-2*(sqrt(2299)*2 - sqrt(2299)) + sqrt(2299))**2 + 4).\nAnswer: -6909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7195 times -0.3?\nAnswer: -2158.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + 2 - (-15 - 27) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7766597?\nAnswer: 101, 131, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 713774693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 24 = -4*j - 0*r, -2*r = 4*j - 36. Suppose 4*w - 12 = 0, -5*z = -3*w + 16 - j. Suppose z = 8*b - 3*b - 605. Is 36 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.894195 - -1.36514. Let l = n - 0.47. What is l rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 19*c**2 + 0*c**4 + 40 + 1\/6*c**6 - 12\/5*c**5 - c + 0*c**3. What is the second derivative of d(n) wrt n?\nAnswer: 20*n**3 - 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 180\/(-480)*(-2)\/18*-2. Put 1\/3, c, -3, -0.3, 9 in ascending order.\nAnswer: -3, -0.3, c, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*g**5 + 4*g**2 + 294214*g + 4?\nAnswer: -4160*g**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1391548, -2783096, -4174642, -5566186?\n\"Answer: b**2 - 1391551*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/11392 in 2\/13, 4, 0.3, -116?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-6))\/((-6)\/(-72) + 0). Solve -7*n = -2*n + x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 - 5*r + 3. Let p be l(5). Suppose -n - 5*a = 22, -p*a + 5 = -4*a. Suppose -17 - 7 = -n*g. Solve 0 = -4*z - 0*z - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8)\/t**(6\/5))**(1\/17))**45 assuming t is positive.\nAnswer: t**(-414\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169642809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167 - -187. Let q(w) = w**3 + 7*w**2 - 4*w. Let n be q(-6). Calculate the greatest common factor of n and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**7\/70 + 9*c**6\/40 - 9*c**5\/10 + 43*c**2. Factor u(p).\nAnswer: -3*p**2*(p - 6)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 2, m: 1, d: 1, r: 3}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03317931 less than 0.431466?\nAnswer: 0.46464531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2 + 95 + 0*u - 1\/2*u**4 + 1\/3*u**3. Calculate q(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 123 + 32 - 3*s)*(-2*s + 3*s - 3*s).\nAnswer: 6*s**2 + 98*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1340414 + 1?\nAnswer: -1340413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*z + 3924 = -4266 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3696 and 649.\nAnswer: 218064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + o - 15. Let v be h(-5). Solve v = -7*b + 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**4 - 3210*n**3 + 2359*n**2 wrt n?\nAnswer: 24*n - 19260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4500 - 4\/5*w**4 - 8809\/5*w**2 + 5820*w - 388\/5*w**3 = 0.\nAnswer: -50, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 529 + -532. Which is the third biggest value? (a) -0.05 (b) 2\/7 (c) v (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*o**2 + 1523*o**2 - 526*o**2 + 60*o**3 - 470*o**2.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 11) to base 12\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4 + 127*k**2 + 133*k**2 - 5 - 258*k**2. Let n(q) = -q**2 + 1. What is 4*n(d) + r(d)?\nAnswer: -2*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 7736*t**3 - 3740356*t**2.\nAnswer: -4*t**2*(t + 967)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 + 5*t. Let w be q(5). Suppose -3*m - 6 + 3 = w. Do -2 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 67. Find the second derivative of 101*f + 26*f**b - 67*f**4 - 28*f**4 wrt f.\nAnswer: -828*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 2*k, 5*c - 128 = 4*k - 125 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 22 (c) 10 (d) -4 (e) 2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 603.1204547 to 1 decimal place.\nAnswer: 603.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3412 - -0.6588. Is -84.22 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*k + 32. Suppose 3*d = 5*m - 2142, k*d - 7*d = -3*m + 1288. What are the prime factors of m?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -84 in increasing order.\nAnswer: -84, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-22)*((-12150)\/4320)\/(15\/(-12)).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m**2 + 0 + 0 - 101*m + 104*m.\nAnswer: 31*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 17, a: 1, z: 1}. What is prob of sequence az?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2156 or -2089?\nAnswer: -2089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1886 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 - 3*l - 2. Let h be c(4). What are the prime factors of (-324)\/(-42) - h\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14542996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**2 - 1. Let q(d) = -2. Let u(g) = g - 4. Let n(o) = 4*q(o) - 2*u(o). What is m(n(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = 3*i. Suppose 7*z - i*z - 38 = 2*w, 0 = z + 2*w - 10. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2056*q**4 + 9*q**3 - 488*q**2 - 104504610*q + 2 wrt q.\nAnswer: 24672*q**2 + 54*q - 976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3359647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -110. Factor 4*w**4 - 8*w**3 - 20 - 56*w**x - 56*w - 84*w**2 + 92*w**2.\nAnswer: 4*(w - 5)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {f: 3, a: 1, i: 6, j: 9}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 14. Suppose 15*s = o*s - 1488000. What is s rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5434 + 4?\nAnswer: 5438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05348 less than 7?\nAnswer: 6.94652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/120 + x**5\/60 - x**4\/24 - x**3\/3 + 2*x**2. Let w(r) = -2*r - 9. Let v be w(-6). Let i = 3 - v. Calculate o(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7236333 (base 8) in base 6?\nAnswer: 105022535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 10*i**7\/7 - 35*i**4\/4 + 8*i. What is the third derivative of b(l) wrt l?\nAnswer: 3600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 13, 1\/1557, 2\/5, 4, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 5, -1, 2\/103, 18, -0.02?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684279 is divided by 683774?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-34)\/(30 + -234) + (0 - (-51478)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 7*g - 36. Suppose i - g + 4 = 0. Suppose i*f = 5, 0 = -2*w + f + 9 + 4. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409155.\nAnswer: 3, 5, 27277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayyaaaaaaayaayyayaa. What is prob of picking 4 y?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*-3 - (-8008)\/624 - 861\/990. Let z = -0.3 - -1.3. Which is the biggest value? (a) z (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1272 and 34980?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 743 - 406. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 10*t**2 + t - 5. Let r be l(10). Suppose 3*d + 3 = f, -4*f - d = -17 + 5. Suppose 0 = f*b + 2*b - 10. Sort -1, b, r in decreasing order.\nAnswer: r, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560472 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: Collect the terms in l**2 - 68006603*l**3 + 68006612*l**3 + 27 - l**2 - 27.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 4*s + 3*s + 5 - 2*s**2 + s**3. Let j be i(5). Let h = 3 - 3.5. Which is the second smallest value? (a) h (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -w + 2*z, z - 2438 = -5*w - 0*z. What is the derivative of -25*j**4 - w*j**2 + 488*j**2 - 20 wrt j?\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*m + 332, -3*t + 7*t = -2*m + 262. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 3. Let g = -1 + 6. Find the third derivative of 2*z**2 - 3*z**g + 5*z**y - 4*z**2 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654 divided by 6?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 287 + -1110?\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000567271 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 959*p**2 + 1097 - 1097 - 2870*p**2 + 956*p**2 + 955*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/16)\/(((-6)\/(-10))\/((-396)\/(-165)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3112232 - 1201320?\nAnswer: 1310312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 3702.1071?\nAnswer: -7404.2142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 97*s**2 + 363*s - 306. Calculate m(-93).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 10. Let v be d(8). Suppose -z + t + 8 = 0, 4*z = -2*t - v*t + 64. Factor -12 - y**2 + z.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(4\/3)\/n)*((n*n\/((n*n**(6\/11)*n)\/n))\/n)\/n)**44*(n\/n**(-1))**(-2\/37)*(n*n*n*n**(-7)*n)\/n*n\/n**(-3) assuming n is positive.\nAnswer: n**(-4304\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:00 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2 (c) 0.54 (d) 4 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 40 = -4*j - 6*o, 0 = -4*j + 2*o - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 0.6 in ascending order.\nAnswer: 0.6, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 times 88?\nAnswer: 1.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 16*w**2 + 13. Give q(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugaaugavonau. Give prob of sequence vug.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16) - (-10)\/(440\/(-99)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -17. Suppose b*i - 3*x = -9, -6*i + 2*i = 3*x - 9. Let r(p) = -p**3 - p**2 + 35000. Let h be r(i). What is h rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4957\/8 - 620. Which is the closest to 0.1? (a) m (b) 2 (c) 6 (d) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/9, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-12 - -16 - (-6 + 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8628 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 10:21 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1)\/(4\/324). Suppose z + 46 = -2*k + k, 0 = 2*k + 4*z + 94. Let w = r + k. What is the remainder when w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, v: 1, a: 1, l: 1, r: 1, h: 2}. What is prob of sequence lar?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 112 or 6544.3?\nAnswer: 6544.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 + 1. Let i(g) = 2674*g**3 + 2292*g**2 + 573. Determine i(u) - 573*s(u).\nAnswer: 2674*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1725.3 - -5.\nAnswer: 1730.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8, 2*m - 123 = 10*y - 15*y. What is the remainder when y is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.5, 2, -270, 1\/3 in descending order.\nAnswer: 8, 2, 1\/3, -0.5, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -2*b**2 + 16*b - 6. Let f be w(4). What is the nearest to f in 0.2, -1, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 139 (b) 4\/3 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 10 = g - 2*g, w + 12 = -5*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 62*w**2 + 568471. Let i(k) = -7*k. Determine i(y(x)).\nAnswer: -434*x**2 - 3979297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6124 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459, -997, -1677, -2571, -3751, -5289, -7257?\nAnswer: -9727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = -8*g + 6894. Let x = 246 + g. List the prime factors of x.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 16 - -5) + 11 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1399\/126 <= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*4*(-98)\/12. Suppose -i = x + x. What are the prime factors of 3\/(-12) - x\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 + 8 = 0, x + i - 6 = 0. Do x and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - -43?\nAnswer: 6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 706.2 + -706. Let j = -3 - -2.84. What is the third smallest value in z, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4862 (b) 0.3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*i = -2*i - 9, 2*y + 8 = 4*i. Let o be (0 - 1)\/((-2)\/4). Suppose 4*z + 2 = s, 4*s + y*z = o + 6. Solve -s*r - 1 - 5 = 0, w - r - 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 + 17558?\nAnswer: 17608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935 - 935 + 34*y**2.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22569 * 0.175.\nAnswer: 3949.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1805 - 1025?\nAnswer: -2831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 1259982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.368? (a) 0.5 (b) -12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g + z, -3*g = -5*z - 43 + 9. Suppose g*k - q + 1 = 0, 0 = k + q + 8 - 1. Sort 7, -3, k in decreasing order.\nAnswer: 7, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 15) to base 11.\nAnswer: -22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + (20 - -4) + -9 + -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -76. Let y(s) = -s**2 - s. Let t(r) = 2*r**3 - 2*r**2 - 4*r - 1. Let g(z) = t(z) - 4*y(z). Give g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-172)\/(-60))\/((-4)\/(-5)). What is the closest to -2\/7 in y, 33, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 - 93*h**3 - 68*h**3 + 8 + 8*h**2 + 8 wrt h?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b2a (base 16) to base 4.\nAnswer: -2230222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 63729072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 803*r + 806*r + 346, 2*q = 5*r + 152. Is q at least 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-1)\/(3\/(-32)). Let h = x - -13. Let y = -10 - -21\/2. Sort y, h, 2\/7 in decreasing order.\nAnswer: y, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5214*t - 13548 = -5218*t. Is t a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Let p be ((-1)\/z)\/(1\/(-12)). Suppose 0 = -3*t + p*y + 121, -5*t = -0*y - 4*y - 191. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*11*(-5 + 6). Suppose 0 = -5*l + q - 46. Let v(x) = x**3 + 6*x**2 - 6*x + 11. Let o be v(l). Solve o*y = -5*w + 27, 2*y - 24 = -2*y - 4*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265548 divided by -5.\nAnswer: -265548\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.86 (b) -218 (c) 164 (d) 4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/768 and (0 - (-4272)\/396)*1*2\/(-16).\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -24*k**2 + 3*k + 3. Let m be g(-1). What is the remainder when 25 + m + 71 + 1 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2*j**2 - 6)*(1596 - 3215 + 1607) in the form d*j**2 + l*j + z and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(19\/(-2394)*9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmh when four letters picked without replacement from mmmmmmhhm.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*y - 8. Let c(f) = -f**3 + 9*f**2 + 7*f - 4. Let u(o) = o**3 - 8*o**2 - 7*o + 3. Let w(h) = y*c(h) - 3*u(h). What is the tens digit of w(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrdoooraoodd. Give prob of sequence oa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*14352\/368*(-5)\/105.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 13*g + 9 + 12.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -23) + (-1 - -1 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {f: 12, t: 3, y: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-2))\/((-1)\/9). Suppose -t + 4 = 3. Suppose -2*b + t = 5*f, -5*b + 7 = 2*f - m. Round b to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 + 0)\/2 - -23. Suppose u = -8*p - 38. Let b = -0.3 + 0.3. What is the nearest to b in 0.4, -2, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196681.\nAnswer: 196681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 187900*u - 7141642. Determine f(-38).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -40616034\/17 and -2389177 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205535 is divided by 464?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*b**3 - 4*b + 0*b + 5*b + 1115*b**3 - 548*b**3.\nAnswer: 11*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 16*m**2 + 16*m - 3. Let j be l(-15). Let x be (j + 16)*-27*2. Suppose x = -3*f + 7*f. Calculate the lowest common multiple of f and 2.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225710*y - 2 + 2 + 1937069*y.\nAnswer: 1711359*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 17. Let t(g) = g**3 + g**2 - g. Let r be t(p). Suppose 2*m - 16 = -r. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162873653 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 165 + 463 = 2*b, g - 4*b - 64 = 0. Suppose -x - 31 = -5*z, -9 = -x + 2*z - 34. Let c = g - x. Calculate the remainder when c is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m + 2*m - 3*m. Let x(g) = 4*g**2 - 5. Let i(t) = -7*t**2 + 10. Let v(k) = 3*i(k) + 5*x(k). Let y(f) be the first derivative of v(f). Give y(c(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 16*x + 9*x - 1 to the form k*x + u and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315750, 315751, 315752, 315753, 315754?\nAnswer: 315755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2 - 9\/(-3)). Let c(o) = -o**3 - 2*o**2 + 3*o + 1. Let p be c(v). Is 0 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/7)*h*h)**(-2)\/(h**(-8)*h*h\/(h**(9\/2)\/h)) assuming h is positive.\nAnswer: h**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1870 times -3?\nAnswer: 5610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1956 divide 22058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57973, 57986, 58013, 58060, 58133, 58238, 58381, 58568?\n\"Answer: t**3 + t**2 + 3*t + 57968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105496 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 6 + 51 + 43)*(-2*d + 2*d - 2*d).\nAnswer: 2*d**2 - 200*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, -105, -200, -9.\nAnswer: -200, -105, -23, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f - 4. Does 9 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121.2+-633336515\nAnswer: -633336636.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -123*n + 890. Let u be r(8). Is u equal to -98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 0.7 (c) 9.5 (d) -5.63 (e) 1 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 250 = 5*t, 3*t + 2*d - 156 + 8 = 0. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000033023 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 466 = 3*d + 46, 5*d - 719 = -2*u. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*i**2 - 103*i**2 + 35031524*i - 35031524*i.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 11*j + 11. Let k(n) = -6*n**2 + 54*n - 54. Let o(u) = -2*k(u) - 11*p(u). What is the remainder when o(-18) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*j - 44, -j + 23 = -0*c + 2*c. Let v be (-2)\/2*1 + 12. Let f = j - v. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (52\/(-7))\/((-314)\/1099) and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.501 + 2.501. Which is the fourth biggest value? (a) -0.3 (b) -2\/5 (c) g (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-2\/5)\/d)**(-26)*(d\/(d*d**(-2)*d))\/d**(1\/6) assuming d is positive.\nAnswer: d**(-443\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*k**2 + 73*k**2 - 159*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164289508*-0.5.\nAnswer: -82144754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g**3 + 8*g**2 - 8*g - 14. Let q(d) = 6*d**3 + 5 - 4*d**3 - 3*d**2 + 3*d - 8*d**3. Calculate 8*q(x) + 3*r(x).\nAnswer: 3*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 10\/(-55) + (-102)\/44.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 16473*c**2\/2 - 61821*c - 74196.\nAnswer: (c - 8244)*(c + 6)*(2*c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = w - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.4. Let y = -8.56 + 79.46. Let h = y + -50.9. Is d > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10527276 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 9 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/6913 - -615249\/27652. Calculate the common denominator of (266\/(-12) - -2) + -2 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 466464 by 4.\nAnswer: 116616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12\/43 + -213\/301. Let q = -699 + 429. Let b be 6\/q - 1\/((-20)\/(-4)). What is the fourth biggest value in -5, s, b, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6040018684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*p = 3*v + 9, -5*p = 0. Let w = 24 - 22. Put -3, v, 3, w in descending order.\nAnswer: v, 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16251 + 84*a + 16251 - 103*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-1 + 3 - 4)*(89 - 89 - q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 33 + -8 + -1 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -33, -96, -215, -408, -693, -1088, -1611?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2022, -3811, -5614, -7437, -9286, -11167?\n\"Answer: -z**3 - z**2 - 1779*z - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146356, -292716, -439076, -585436, -731796?\nAnswer: -878156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:36 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*c. Suppose -2*j + 6*j = 2*b + 14, c = -5*j - 2*b + 31. Let h(a) = -2*a + a**2 + 7*a - j*a. Let w(f) = -f**2. Give w(h(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 624 (base 13) to base 8\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - 2.4. Which is the biggest value? (a) l (b) 8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 542*d**2*t**3 - 828*d**2*t**2 + d**2 + 10*d*t**6 - t**2 wrt t?\nAnswer: 3252*d**2 + 1200*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**3 - 108*c + 216 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698, 2384, 5194, 9128, 14186?\nAnswer: 20368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/((c\/(c*c\/(c\/(c*c*c**(-1\/2)))))\/c))\/c))\/c**(2\/3)*(c**(-4\/3)*c)\/(c*c*c\/(((c*c*c*c**(-2\/9))\/c)\/c)*c) assuming c is positive.\nAnswer: c**(-103\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let y(l) = -374*l + 1 - 354*l + 708*l. What is y(k)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2. Let r(l) = -l**2. Let y(t) = -c(t) - 6*r(t). Let m(p) = p**3 - p**2 + 2. Let s be m(0). Let q(x) = 2*x**2 + x**s + x**2. Calculate y(q(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/9)\/c**2)\/(c**(-1\/4))**0 assuming c is positive.\nAnswer: c**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v\/((v*v\/v**(-5\/4))\/v))\/(v\/v**(-4)*v**(2\/7)*v) assuming v is positive.\nAnswer: v**(-267\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*b - 6, 101*b - 106*b = -8*q + 77. Solve 5*r + 10 = -x, 2*r + q = -10*x + 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l - 5*y + 75, -2*l - y + 25 = 0. Calculate the highest common factor of 34 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.02, 6\/11, 1\/6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3354*k + 12007 + 38303 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33194552 and -0.2.\nAnswer: 33194551.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 18. Let q be p(15). Is -0.02 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 2*x**3\/57 + 4*x**2\/19 - 24*x\/19 + 31. What is t in m(t) = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55004 + 99450 - 1358 = 12*p. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -s*l = -71 + 3. Let c = -4 - -16. What is the remainder when l is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -12*h + 16. Suppose -20 = -p - 3*p. Is h >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 25*v**2 + 159*v - 108. Calculate p(9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 2. Let q be c(4). Let k(s) = 7 - 12 - s - 3. Determine k(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9277.92 + -357\nAnswer: 8920.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3d7 (base 14) to base 4\nAnswer: 30021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/2142 and 79\/6.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1256, -1259, -1264, -1271?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 x when four letters picked without replacement from {g: 7, x: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.2, -5\/4, 1, 0, 91, -8 in increasing order.\nAnswer: -8, -5.2, -5\/4, 0, 1, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-2)*(-33)\/(-1485)*-30*-1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181716067369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8051 is divided by 608.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-19)*z\/((((z\/(z\/z**(-8)))\/z)\/z)\/z) assuming z is positive.\nAnswer: z**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -190472826542?\nAnswer: -190472826544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 0. Suppose -z*d = -12*d + 20. What is the greatest common factor of 44 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/9 at most as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/90)\/(1374\/37098).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*d - 3 + 815. Calculate the greatest common divisor of d and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97302 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(sqrt(243) + -1 + sqrt(243) - sqrt(243)))**2 + 2 + (2*-1*sqrt(1728))**2 + 0.\nAnswer: -810*sqrt(3) + 17894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 227. Let k = y + 1890\/11. Which is the closest to 2? (a) 2\/7 (b) -3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.1 (c) -2 (d) 3\/5 (e) 197.95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/70 and 52\/273497.\nAnswer: 2734970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 83 - 85 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94466624 to the nearest integer?\nAnswer: 9719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - ((-84)\/36 + 3 - (-8)\/6). Let f(x) be the third derivative of -1\/156*x**4 + 2\/195*x**5 - 2\/13*x**s - 1\/780*x**6 + 0 + 0*x + 32*x**2. Factor f(m).\nAnswer: -2*(m - 3)*(m - 2)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*j**2 - 5 + 106*j**2 + 7)*(-1 + j + 1).\nAnswer: 80*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -2)\/(-6 - -7) + -1088. Let b = u + 1550. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21622 + 0.044.\nAnswer: 21622.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.772 in -65, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49583 + -46083. What is the remainder when u is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, 1, 8441, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 510001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/67788 and -51\/4304?\nAnswer: 271152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -0.2 (c) -2\/9 (d) 30936\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 + 1060\/15 + 4. Suppose -59 = w + h. What are the prime factors of -2 - -1 - 2 - w\/1?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**2*v**3 - 1522*s**2*v**2 - 17*s**2 + 1742*s*v**3 + 4*v**3 wrt v.\nAnswer: -12*s**2 + 10452*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1323432 and 45144.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 0*a + 0*a + (5 - 5 - 2*a**4)*(-1 + 5 + 0) - 2*a + 2*a - 2*a**4)*(-2 - 3 + 2).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**2 + 985*i - 985*i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 9)*1*-3. Let t = 3 + g. Let n be t\/(-4) + (-6)\/(-12). Solve 3*b + 2*k - 9 = 0, n*k = -3*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 31*y**2 + y. Let u be (13\/(-26))\/((-1)\/(-2)). Let f be l(u). What is the units digit of f\/12*(-146)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/7 + 38*l**3\/7 - 166*l**2\/7 + 106*l\/7 + 312\/7 = 0. Calculate l.\nAnswer: -1, 3, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/10*(418\/4 + -2). Let r = z - 1. What is the remainder when r is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -39, 5, -1, 4044, -6.\nAnswer: -39, -6, -1, 1, 5, 4044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -7 (c) 0.041 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) + 11\/2. Suppose -j*b + 58 = -72. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 325\/225 - 5\/3. Let f = 0.1 + 0.1. Which is the nearest to g? (a) 1 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfg when three letters picked without replacement from {l: 3, f: 5, g: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20*c**2 + 14*c - 3. Calculate l(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72240 + -38755. Is 158 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 112? (a) 102 (b) 1 (c) 5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdqqqzqzqqddqqdddq. What is prob of picking 1 q, 1 z, and 2 d?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 26. Calculate h(14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3 - 8 = 5*a, -4*a - 5*f - 4 = 0. What is the nearest to 2 in 0, a, -5, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51cc (base 15) in base 11?\nAnswer: 11aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 54561806*p - 54561806*p + 5*p**3.\nAnswer: 5*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 30*s = 0. Suppose 5*d + 6 - 56 = s. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.858 plus 0.3?\nAnswer: 1.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + r = -r + 24, -2*r = 5*w + 21. Let k(u) = 4*u**4 - 4*u**3 + u**2. Let y(l) = l**4 - l**3 + l**2. Let n(p) = w*k(p) + 15*y(p). Factor n(x).\nAnswer: -5*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -3 + 0)**2.\nAnswer: -12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*338*(-5)\/10. Suppose 3 = f, x = 2*h - 2*f + 23. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 1, h: 2, y: 1, l: 1}. Give prob of picking 1 l, 1 h, 1 q, and 1 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 17*j = -10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*34\/816*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 5*c**2 - 4*c - 2. Calculate the least common multiple of r(6) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53387297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/(1830\/(-60)))\/((6\/63)\/(-1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41516 (base 9) to base 13.\nAnswer: c612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 14*j + 158. Let l be u(-7). Suppose 0 = l*q - 31 - 2. Solve f + z = -4, 7*z = -q*f + 3*z - 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 105 = -1. Suppose -2*m = 4*p - 90, k = p - 0*p - 3*m. Let q = p - 18. Solve -x - q = 3*l, 5*x = 3*l - 5*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1102)\/232 + (4 - (-2 - -1)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3.1. Let d = z + 2.1. Let o = -5 + 9. Which is the second smallest value? (a) 2 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49030, 199401, 450020, 800887, 1252002, 1803365?\n\"Answer: 50124*p**2 - p - 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -308262922 and 647.\nAnswer: -308262275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -16*s**2. Let f(p) be the second derivative of -23*p**3\/6 - 833*p. Determine i(f(a)).\nAnswer: -8464*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 19. What is the units digit of 6 + -6 + 85*b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3)*3497\/(-538))\/(-5).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 37. Let s = -87 - b. Let i = -41 - s. What is the highest common factor of 91 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/25)*d**9*d\/d**(8\/9)*d*d*d\/(d*d*d*(d**24*d*d)\/d*d*d) assuming d is positive.\nAnswer: d**(-4043\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -37*x**3 + 9*x**2 - 17*x - 1. Let a(o) = 9*o**3 - 2*o**2 + 4*o. Calculate -9*a(r) - 2*y(r).\nAnswer: -7*r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*c**3*s**2 - 1104*c**3 + 2*c**2 - 245100*c*s**2 wrt c.\nAnswer: -96*s**2 - 6624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/(w\/((w*w**4)\/w)))\/((w**(-2\/11)\/w)\/(w**0*w)) assuming w is positive.\nAnswer: w**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 21. What is the greatest common divisor of 60 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 * 70.\nAnswer: -3500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 29813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3016, 3014, 3012, 3010, 3008?\nAnswer: 3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8174 - 2140?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - 1*(-1 + sqrt(1216))**2) + sqrt(1216) + sqrt(1216) + sqrt(1216) + sqrt(1216) + 1 + -2.\nAnswer: -1218 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*w - 64, 0 = 2*w - 5*i - 50 + 12. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + c - 11575 = 0, 33*c = 2*m + 38*c - 7721. What are the prime factors of m?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 38*r - 101. Does 67 divide t(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16524083663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrrrzo. Give prob of sequence zr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 194.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 27350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6111 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - 3)*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-40)\/(-6))\/10*-1. Let d(j) = -j**2 + j + 1. Let u be d(-1). Which is the nearest to q? (a) 0.3 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*d + 71*d - 680*d = 4998 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = g - 3*w, 5*g + 4*w = -10 - 21. Let x be ((-4)\/(-3))\/2*g. List the prime factors of (x\/6)\/((-1)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21705.\nAnswer: 3, 5, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 1 - 2\/5*h**5 + 0*h**2 + 0*h - 1\/4*h**4 - 1\/6*h**6 + 0*h**3. Solve n(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.588*-0.2.\nAnswer: -0.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345 or -381?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = 33*d - 81. Calculate the greatest common divisor of d and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -21*n. Let q(r) = 12*r - 45*r + 17*r + 18*r. Calculate d(q(b)).\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*o = 9, -3*o = -2*p + 2 - 1. What is the remainder when 20 is divided by (0 + (-1)\/p)*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 965 (b) -2\/17 (c) -0.5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g*g\/(g*g**(-2\/41)))\/(g**(-2\/7))**(1\/50) assuming g is positive.\nAnswer: g**(-13959\/7175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22473 and 64?\nAnswer: 1438272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -3 - (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40\/((-9)\/13671*-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = -1. Let o(n) = n**2 + 4*n. Let d be o(-4). Suppose d*b - 2*b**y + 4*b - 2*b = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 15*y**2 + 7*y + 60. What is l(-15)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -47*n**2 - 38*n - 205. What is v(-5)?\nAnswer: -1190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, -2\/17, -1\/3, 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 126\/12*(-32)\/(-6). Suppose 4*n - 196 = -3*n. Calculate the greatest common factor of n and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/630 and (-4)\/9*3201\/264?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -743, -1099, -1455?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1034311 - -434?\nAnswer: -1033322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 10) to base 9\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0131124 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -14*c**2 + 702*c - 146. Give t(49).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 3:24 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s + 3. What is the remainder when 303 is divided by d(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/(-164)*(-88)\/121*2\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.98 and 0.2.\nAnswer: -19.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -39*r + 7. Let b(k) = -39*k + 8. Let o(w) = -6*b(w) + 7*g(w). Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -9)\/(-4) + (-1 - 0). Suppose -2*n + 724 = 3*u + u, d = 3*n + 4*u - 1088. Is n a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204*d**4 + 376033*d**3 - 9662291*d**2 - 9*d + 2?\nAnswer: 4896*d + 2256198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 45.3. Let o = k - -10.06. Let i = -0.295 + o. Round i to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 7*h + 15*h**2 - 12*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 + 183. Let j(a) = -a**3 + 3*a**2 + 2*a + 1. Give j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*w**2 + 2*w**2 - 11*w**2 in the form a + d*w**2 + c*w and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 344 + 255237?\nAnswer: 255603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11110 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-1\/3)*x*x)\/x**(-3))**(-1\/5) assuming x is positive.\nAnswer: x**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-1*sqrt(196) - sqrt(196) - sqrt(196)).\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2216, 2027, 1654, 1097, 356, -569, -1678?\n\"Answer: -92*d**2 + 87*d + 2221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*15\/6*-4)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 570928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -18. Let o = 2.1 + f. Let q be (4\/(-6))\/(2\/(-4)). Sort o, 2, q.\nAnswer: o, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - 8 - g + 2 + g**2. Let k(u) = -u. Let l(f) = -d(f) + 6*k(f). Does 10 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1071)\/(-170) - (9 - 3) - (12696\/80)\/23.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1457 + 1457 + 392*q**2 - 124*q**2.\nAnswer: 268*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/18 - (-4)\/(-18). Let v(k) = k**3 - 3*k**2 - 8*k + 6. Let h(p) = p**3 - 3*p**2 - 7*p + 5. Let r(l) = -7*h(l) + 6*v(l). Give r(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 46 - 49 - (19 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 137234, 137236, 137238, 137240, 137242, 137244?\n\"Answer: 2*b + 137232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**2\/4 + 11*r + 39\/4 = 0.\nAnswer: -39\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**21\/i*i*i*((i**(-3\/22)\/i)\/i)\/i*i assuming i is positive.\nAnswer: i**(437\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l - 31*l - 33*l + 50*l - 39*l + 94*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*k + 5, 0 = h + 51*k - 47*k - 27 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60214 and 421498.\nAnswer: 421498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a. Let y(f) = 6*f**2 + 7. Let u(b) = -b**2 - 1. Let n(h) = -14*u(h) - 2*y(h). Determine l(n(t)).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let l be v(1). Suppose 403*h - 418*h = -36 - 9. Solve -4*d = -l*u + 8, 0 = -h*d - 3*u - 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6028\/123 and 48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6\/35, -0.2, -7\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(325) + 1 - (sqrt(325) - (1 + -1 + sqrt(325))) - ((sqrt(325) - sqrt(325)*-1 - sqrt(325)) + 5 + -1))*-4)**2 + 2.\nAnswer: 9218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - f + 15. Let m be y(3). Let r = -2.2 + 1. Which is the second biggest value? (a) r (b) 0 (c) m (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -15. Let l = 18 - o. Suppose -2*s + l = s. Solve 6 = b + s*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2107 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588604306.\nAnswer: 2, 19, 15489587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 + -132. Suppose i*o - 8172 = 46*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**2 + 708132*h + 41787577452 = 0.\nAnswer: -118022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-372)\/217*(-14)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/9310 and 131\/46060.\nAnswer: 875140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1298)\/236)\/((-66)\/372)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455122605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 41253 and 4909278\/119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 410 = 5*f, 4*r + 5*f - 3*f - 772 = 0. List the prime factors of r.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5916)\/42)\/((-4)\/14*22\/44). Which is greater: 985 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 4*d**2 + 0*d**2)*((4 - 13 + 1)*(-1 + 4 - 1) + 0 - 6 - 4) in the form r + w*d + p*d**2 and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1019 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 6649.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 46*q + 510. Calculate w(-22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let t(f) = f**2 - 2*f - 4. Let s be t(-3). Let g be ((1\/2)\/(6 - s))\/1. Is g less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2269958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -2.5, 0.06, -13, 2\/19?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*-10)\/(1\/(-2)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -113037 and -0.4?\nAnswer: 113036.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 3*p + 4*p)*(6*p + 2*p - 2*p + (p - 4 + 4)*(0 + 1 + 1))*(8 + 10 - 20 - 55*p).\nAnswer: 880*p**3 + 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 1, p: 1, i: 1, c: 2}. Give prob of picking 2 k and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 925765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -611\/161783 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.56 - -5.56. Which is the second biggest value? (a) s (b) 8.6 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-65 + 3369*f**2 + 65 + 452*f**2)*(1 - 5 + 0) in the form y*f + n*f**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1030435521 (base 6) to base 3\nAnswer: -202121111202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 134 - 129 + 394 - 123.\nAnswer: -9*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 69*m - 20. What is s(23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v. Let b(a) = -3997221*a**2. Determine b(m(d)).\nAnswer: -99930525*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from vqvvvqvvyuyvlvvyvvdv?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**3 + 5*n**2 - 5*n + 5. Let d(a) = 4*a**3 + 3*a**2 - 3*a + 3. Let o = -34 - -24. Give o*d(c) + 6*h(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -24*((-6)\/8)\/1. Let r = 112932 - 112086. What is the highest common factor of z and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*z - 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:58 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2128230 and -0.8.\nAnswer: 1702584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 - 166 - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 14. Let t = b + 44. Calculate the remainder when t is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 + -141. Let g = -1 - -3. Which is the second smallest value? (a) r (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11508 to the nearest 100.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 9) in base 3?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 - 5*f**4 - 4*f**3 + 3*f**2 + 2*f + 3*f**4 - 2*f + (-2*f**2 - f**2 + 2*f**2)*(0 - f**2 + 0) - f**4 + 2*f**4 + f**4 - 2*f**4 + 1 - 1.\nAnswer: -f**4 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((11\/6)\/(-11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-24)\/2028*-1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3048711, 3048688, 3048657, 3048624, 3048595, 3048576, 3048573, 3048592?\n\"Answer: f**3 - 10*f**2 + 3048720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*a + 8*a**2 + 19*a**2 - 25*a**2 - 2 - 2*a**4 as l*a + z*a**4 + d + h*a**2 + t*a**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 474771749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 42.931.\nAnswer: -42.931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)\/(((f*f\/((f*f**0\/f)\/f)*f)\/f)\/f))**45*((f**(1\/3)*f)\/f*f\/f**(-1\/2))**(-31) assuming f is positive.\nAnswer: f**(-1627\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/30519 and 76\/2187.\nAnswer: 7416117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 5 (b) 4 (c) -1\/19 (d) 1 (e) -135\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/48)\/(18\/(-24)). Suppose u = -4*x - l + 27, 0 = -u + x + 6. Solve 0 = i + i - 5*y - 18, 5*y - u = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 10 = 10*i. Let n(r) = -1290 + 4*r - i*r**2 + 1290. Let v = 1 - 5. Let l(f) = -14*f**2 + 11*f. Give v*l(q) + 11*n(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 3*v + 0*v)*(3761 - 3761 + 24*v**3) - 3*v + 3*v + 20*v**4 in the form k*v**4 + t + f*v**2 + n*v + c*v**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -225, -448, -671, -894, -1117, -1340?\n\"Answer: -223*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 3*j + 1. What is the remainder when b(-2) is divided by (-16)\/(-56) + (2 - (-36)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-4)\/(4\/(-5)). Let t be ((-1)\/(-3))\/(y\/36). Suppose -4*z - 4*b + 4 = 0, 9 = 4*z + 15*b - 16*b. Solve -t - z = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1098*x - 27930. Give g(25).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*l = -3*s + 5673, 3*s - 5685 = 5*l. What is the greatest common factor of 42 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhyhghhghpmh. Give prob of picking 2 y and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65\/4 - 589\/36. Let y = -7 - -7.6. Let k = y - 0.7. Sort k, o, 8.\nAnswer: o, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0) + (3 - -1). Let d = -4.050576 - -0.050576. What is the biggest value in d, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5659 = -147*j - 6471 - 9772 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -9663.\nAnswer: 4\/9663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.15 and -53511835809.\nAnswer: -53511835807.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 549804 to the power of 1\/2, to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/10)\/t*t)\/(t**(22\/7)*t) assuming t is positive.\nAnswer: t**(-269\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(66) + (sqrt(66)*-2 - sqrt(66)) + sqrt(66)))\/sqrt(3)*2)\/((-1*sqrt(2156))\/(-6*sqrt(36))).\nAnswer: 72*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z + 149*z**4 - 9*z + 223 - 14*z + 30*z wrt z.\nAnswer: 596*z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2638671 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 0.4, 3\/5, 2\/3 in decreasing order.\nAnswer: 2\/3, 3\/5, 0.4, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/5)*c\/c**(2\/3))\/(c**(-7)*c**(2\/19)) assuming c is positive.\nAnswer: c**(2459\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 10*w - 4. Suppose -t + 19 - 3 = 0. Suppose -6*i = -8 - t. Let h be n(i). Solve u + h = 4*l, 4 = 4*l - 2*u + 3*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:58 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 428*k**2 - 4825*k - 967651. What is h(-422)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/12, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4720 - 8792 + 4421)*(2*h - 1 + 1).\nAnswer: 698*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 22 + 2*m - 27. Let j be (-1)\/((-2)\/16) - 1. Let x be k(j). Which is the nearest to 1? (a) x (b) -1\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 3, z: 2, n: 6, t: 1}. What is prob of picking 1 z and 3 n?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 193*o**4\/24 - o**3\/2 - 2*o**2. Let k be j(3). Let w be (k\/6)\/(2 - 1). What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + w = -7, -3*n + 1361*w = 1366*w + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.126279 tonnes to grams.\nAnswer: 2126279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/(25\/(-7050)). Suppose -t = -6*k + 231. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 786 and 24?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01825 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10*l. Let h(y) = -7*y. Let b(i) = -7*h(i) + 5*k(i). Suppose 2 + 4 = 3*o. Let p(t) = -4*t + o*t + t + 3*t. Determine p(b(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*d + 7*d + 4*d)*(2*d**4 + 39*d**3 - 39*d**3).\nAnswer: 54*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -717?\nAnswer: 4\/717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/2 - 584642*a - 170903134082 = 0.\nAnswer: -584642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 52*m**2 - 152*m + 1195. Is j(8) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/108 and 3699\/(-72)*((-4)\/18)\/(-2)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/6*(7708\/18800 + 2\/(-8))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u - 2*u**2 + 1\/120*u**6 + 0*u**3 + 0*u**5 - 1\/24*u**4 + 0. Find the second derivative of q(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-368)\/(-24)*-6*3. Let k be (-4 + 40\/6)*m\/(-1). Suppose -4*u = 4*x - k, 5*x + 3*u = -u + 923. What are the prime factors of x?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425204*s**5 - 2*s**3 + 1904650*s**2.\nAnswer: 25512240*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:29 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1831344 and 25\/848.\nAnswer: 97061232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/4 + 3*m**2\/2 - 2*m - 12. Let b(n) = -n**2. Give b(i(d)).\nAnswer: -9*d**4 + 18*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13484954 and -2.\nAnswer: 13484952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 169804164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -54. Suppose -208 = -5*h + b. Suppose 7*t - h = 9. Solve -2*x = 3*p - 2*p + t, p = 3*x + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 77600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16005976 is divided by 55384?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/21 - 14\/3. Let s(g) = -g**2 - 5*g + 2. Let v be s(r). What is the third derivative of -h**5 + 0*h**4 + 4*h**5 + 0*h**4 - h**v wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4078, 4639, 6066, 8791, 13246?\n\"Answer: 72*l**3 + l**2 + 54*l + 3951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 3*u**5\/5 - 6*u**2 - 4. What is the second derivative of f(p) wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8*s - 60. Suppose 0*l = 5*l + 2*j - 1, -s = -5*j. Is l\/(-2) + 66\/4 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/27*600\/420.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 z when four letters picked without replacement from {r: 6, i: 1, p: 4, z: 4, a: 2}.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 + -0.32. Let j = d - -0.052. Let s = j - 15.722. What is s rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = 0. Let h(b) be the third derivative of 0 + d*b - 1\/3*b**3 + 1\/60*b**5 + 0*b**4 - 2*b**2. What is the first derivative of h(m) wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Let i = -0.2 + 0.16. Let o = i - 2.96. Which is the second biggest value? (a) l (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*j + 833 = 0, 3*t + 16*j = 19*j + 861. List the prime factors of t.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-180) + (-4)\/(-10) - (-128590)\/(-547470). Suppose -5*d = -11 - 9. Suppose -4*c + f - 8 = 0, -3*f = -d*c + 8*c - 8. Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-3)\/2 - 0). Let g be (-3 + 0 - 3)\/(2*1). Which is the second biggest value? (a) g (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.31 less than 22?\nAnswer: -81.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*d**2 - 130*d**2 + 333*d**2 - 128*d**2.\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489691 < -15\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 530956712 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 11*d + 15*d + 80, 2*d = 0. Let w(t) = -2*t + 41. Let v be w(s). Solve g - v = -13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3))**(-14\/11)\/(d*d**16*d*d*d**7\/d) assuming d is positive.\nAnswer: d**(-811\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*y + y + 71 = 0, 3*p + 4*y = 91. Calculate the remainder when 61 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let s(d) be the third derivative of -d**5\/30 + 9*d**2. Calculate q(s(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:58 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15733045*h + 1652 = -15733163*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -10587\/883?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-15)*1*(-15)\/(-1). Is a not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/9)*g\/(g**2\/g))\/(g**7\/g**(-2)) assuming g is positive.\nAnswer: g**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-54)\/63*(-35)\/160.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3332 (base 5) to base 7\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.8 - 31.2. Which is the third biggest value? (a) -5 (b) 5 (c) n (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 9. Let s(q) = 6*q + 3. Suppose -n - 3 = 1. Let g(w) = 13*w + 7. What is n*g(k) + x*s(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(75) - (sqrt(75) + 2 + sqrt(75)))**2*-4 + sqrt(108)*3 + sqrt(108) + -2 + 2.\nAnswer: 184*sqrt(3) + 632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9389073?\nAnswer: 3, 3129691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213064455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**3 + 4*v + 6. Let k(u) = -u**3 - u + 1. Let m(z) = 4*k(z) + r(z). What is the derivative of m(y) wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635037*l = 634711*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*v - 1229 = 49*v + 1876 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/15))\/((s*s\/s**5)\/s))\/(s**(-1\/3))**(1\/58) assuming s is positive.\nAnswer: s**(1413\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 7420754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 12*j**2 - 19*j - 15. Let b be l(-7). Suppose 43*q - b = 38*q. Solve 0 = m + 2*o + 6, -o - 9 = -q*m + 2*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1664 times 207.89\nAnswer: 345928.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 11:29 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/24)\/((-21)\/12). Let i(s) = s**3 + 8*s**2 + s + 8. Suppose 2*h = 4*q - 8, 5*q - 42 = 5*h - 12. Let c be i(h). Are p and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*h = 20*h - 77*h + 2790 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4676, -9106, -13562, -18056, -22600?\n\"Answer: -2*o**3 - o**2 - 4413*o - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3586 divided by 163?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -83*i**4 - 260*i**3 - 2569*i**2 - 4080*i + 31. Let t(z) = 8*z**4 + 26*z**3 + 257*z**2 + 408*z - 3. Let v(x) = 6*a(x) + 62*t(x). Factor v(u).\nAnswer: -2*u*(u - 34)*(u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009372 rounded to 4 dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 749 and 151405?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 9*o - 4. Let p be z(9). Let f(q) = -417*q + 12. Let c be f(p). What is c rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*l + 112*l - 1274. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.145247 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t**(-1))\/((t**(-2)\/t)\/t)**(-2\/127) assuming t is positive.\nAnswer: t**(-1151\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3040243432 + -1?\nAnswer: -3040243433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-100))\/((24\/(-10))\/(-2)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*t - 12, 0*t - 2*t - 6 = -f. Suppose -2*a = -6 - 2. Sort a, -4, f, -1.\nAnswer: -4, -1, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472126?\nAnswer: 2, 236063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, x: 10, w: 1, g: 2}. What is prob of picking 1 x and 3 n?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1122126 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -403417.0786 to the nearest 10.\nAnswer: -403420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139503 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/192)\/(1\/(-9)). Let r = 0.6 - 0.1. What is the closest to 0 in r, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73512 is divided by 14669?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44926 is divided by 343.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*l = 3*l - 11, -2*t + 10 = 4*l. Solve 2*p = -t*x - 4, 2*x + p - 2 = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -38*r**3 + 7*r**2 - 20939*r + 7. Let h(m) = 22*m**3 - 4*m**2 + 10469*m - 4. Determine 7*h(o) + 4*q(o).\nAnswer: 2*o**3 - 10473*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b - 4*l + 9, 5*b - 4*l = -27. Let t be (19000\/b)\/((-7)\/(-210)). What is t rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33320521459844 - 0.1.\nAnswer: -33320521459844.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3790000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j*r**3 + 2*j - 9*r**3 - 19*r**2 wrt r?\nAnswer: 18*j - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/50 and (3 + 46)\/((-330)\/(-3))?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0, 4, 43?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 <= -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309*b - 24 + 6*b**3 - 1177*b + 24 + 18*b**3.\nAnswer: 24*b**3 + 132*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbddvdlcbbclbbvl. What is prob of picking 2 d and 1 v?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:09 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-51)\/34)\/((-2)\/4). Let k be -4 - (122\/(-1) - 3). Suppose -y*q = -20 - k. What is the remainder when 181 is divided by q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-284)\/(-14) - 2\/7. Suppose 8*h = 5*h + 90. What is the greatest common divisor of b and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11)*-1 - (sqrt(891)*2)**2)*-1 - (sqrt(891) + -4 + sqrt(891) + -1)*-5.\nAnswer: 91*sqrt(11) + 3541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 2, u: 1, x: 1, c: 1}. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119371039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:12 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-570)*95*159\/(-2014).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.193 - -0.107. Sort q, 5, 0, 0.02 in ascending order.\nAnswer: 0, 0.02, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -912 by 6.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/7 + 57984*l**3\/7 + 40000665*l**2 - 240302286*l.\nAnswer: 3*l*(l - 6)*(l + 9667)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53170948711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 172 * -582\nAnswer: -100104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 1572082*f + 786042*f - 12*f**3 + 786040*f + 13.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 - 191*j**2 + 6. Let u(r) = -5*r**3 - 190*r**2 + 4. Give -2*b(i) + 3*u(i).\nAnswer: -7*i**3 - 188*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -64*x + 1004. Is 9 a factor of q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -25*q**4 - 190*q**3 - 220*q**2 + 120*q = 0?\nAnswer: -6, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 352947779*u + 47086413?\nAnswer: 352947779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Let y = 4.19 + 0.01. Let a = y + -0.2. What is the nearest to -0.2 in -0.4, a, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 10*y**2 - 16*y + 14. Let s be m(-15). Suppose -20*z = -21 - s. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8405 - 4925. Suppose 3*a + 708 = p - 2*a, -5*p - 5*a = -x. Round p to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 24 = -5*q, -5*q - 3*u + 4 + 24 = 0. Suppose -9 = q*f - 44. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1652211 centimeters in millimeters?\nAnswer: 1.652211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)*(2 - 4). Let h be (s + 6)*5*2. Calculate the highest common divisor of 16 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**5 - 951*l**4 - 1827*l**3 + 144087*l**2 - 327552*l + 108108 = 0.\nAnswer: -13, 2\/5, 2, 11, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/6)*o\/(o**1*o)*o**(-3\/7)*o*(o\/(o\/o**(-2\/25)))\/o*o assuming o is positive.\nAnswer: o**(341\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 3, 2.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 1.48, -0.12, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 312972\nAnswer: 12518.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3 - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4087*b**4*r - 2*b**3*r + 5*b**2*r - 174477*b*r wrt b?\nAnswer: 49044*b**2*r - 12*b*r + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25337 * -7.71\nAnswer: 195348.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/14)\/((-60)\/(-200)*375\/270)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -18. Suppose -2*g - 3*z = -21, 0 = -d*g + 3*z - 0*z + 27. Calculate the smallest common multiple of 4 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099150 times -0.2?\nAnswer: 219830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 8*r + 14. Suppose v = s + 2, -s + 5*v - 10 - 12 = 0. Let t be g(s). Which is the nearest to -6\/5? (a) 2\/3 (b) t (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14122925 and -5.\nAnswer: 70614625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11217 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -12. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52301 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/6)\/(6\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 807989739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 274834 bigger than 274835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 981 - 1781. What is the remainder when 1594 is divided by s?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62689 + 62689.00035847. Round r to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 97500.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000602 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 5*o - 1. Let n(d) = 4*d**2 + 5*d. Let y(i) = -3*m(i) - 2*n(i). Calculate the remainder when 15 is divided by y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.041, 1\/4, -2, -12, -7 in descending order.\nAnswer: 1\/4, -0.041, -1\/2, -2, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3510*u**2 - 5137*u + 6. Let g(c) = 10532*c**2 - 15416*c + 16. Let w(k) = -3*g(k) + 8*i(k). What is the second derivative of w(o) wrt o?\nAnswer: -7032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1911569578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4167 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 763.02mm in kilometers?\nAnswer: 0.00076302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**8\/560 + h**5\/120 - h**4 - 13*h. Let k(p) be the third derivative of q(p). What is the derivative of k(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491 = -3*a + 487. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8065973\/88 - -91660. Find the common denominator of 48\/11 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 7*r - 7. Let j be g(5). Suppose 4*d = -8 - 4. Which is the second biggest value? (a) 0 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, d: 7}. What is prob of picking 2 d and 2 b?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 24*w = 2. What is the least common multiple of 4 and (9\/(-15))\/(w\/(-40)*-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5783, -11567, -17289, -22919, -28427, -33783, -38957?\n\"Answer: 5*q**3 + q**2 - 5822*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -893\/16. Is -1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u**2. Let m(n) be the first derivative of -n**3 - 7*n**2\/2 + 330. Calculate f(m(y)).\nAnswer: -90*y**4 - 420*y**3 - 490*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(8) - sqrt(2)) + ((sqrt(135)\/sqrt(5))\/sqrt(9))**2)*-1.\nAnswer: -3 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245976.\nAnswer: 2, 3, 37, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(52)*4)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -8*x + 7*x - 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 21. What are the prime factors of (26*18\/42)\/(d\/(-14))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18166 = 3*v - 8957. List the prime factors of v.\nAnswer: 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12477 + -4314. What are the prime factors of l?\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 9*a + 17. What is the units digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-1 + -16 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 + 215. Solve -t = 50*w - 47*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 30*d + 43. Let c(x) = x**2 - 32*x + 44. Let i(w) = 2*c(w) - 3*n(w). What is the remainder when i(20) is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 6*z - 12*z + 6*z = -5*z - 90, 4*z = 2*i - 62 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814375787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12407 = z, 5*y = -3*z + 11526 + 9147. Let s(v) = -49*v + 109. Let d be s(-14). Suppose -y = -6*x - d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = q - 30, 0 = -r - 0*q - 2*q + 4. Calculate the lowest common multiple of r and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16697\/9 + 1855. Which is the closest to -1? (a) -0.1 (b) z (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 138. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7694046 is divided by 5729.\nAnswer: 5728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2\/s**(2\/3)*(s\/(s**0*s))**(-8)*(s\/(s*(s*s**(-1\/5))\/s*s)*s*s\/s**2)**(-2\/19) assuming s is positive.\nAnswer: s**(404\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 69. Let c = -14 + g. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046191 to five dps.\nAnswer: -0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - -9.04. Let y = j + -7.5. Let x = 185\/56 + -24\/7. Which is the smallest value? (a) x (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -35*u. Let q(z) = -671*z + 1296*z - 2 - 642*z. What is n(q(c))?\nAnswer: 595*c + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*b**3 + 97*b**3 + 104*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944882 is divided by 4947.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -126996630 divided by 86\nAnswer: -1476705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2\/3*i**4 - 2*i**3 + 4\/3 - 2\/3*i**2 + 2*i = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3*o - 12*j**3 + 54*j**2*o + 3*j**2 + j*o - 2*j - 46*o + 78 wrt o?\nAnswer: 2*j**3 + 54*j**2 + j - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 932*f**3 + 101*f**2 - 36*f + 7. Let x(b) = -451*b**3 - 51*b**2 + 19*b - 4. Let c(g) = -6*l(g) - 11*x(g). What is the third derivative of c(m) wrt m?\nAnswer: -3786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3.0005. What is r rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(7)*-2)*1 + sqrt(8)\/(sqrt(4) - -3*sqrt(36)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 120?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388*i**3 - 1349.\nAnswer: -1164*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 583 and 10600?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*b + 379 = -5*m, 5*m + 605 = -3*b. Let q = m + 188. Let i = 157 - q. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 + c**2 - 2*c + 1. Let a(r) = r + 1. Let y be a(0). Let v be t(y). Suppose 4*l = -l + 2*f + 25, 0 = -v*f. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**2 - v + 540. Does 36 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12283, -48972, -109965, -195136, -304359?\nAnswer: -437508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*p - 3 - 277*p + 3.\nAnswer: -572*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 2:18 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 = 5*y - 25, -m + 2 = 0. Solve 32 = 4*i - 3*z, i + y*z + z = 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = 5. Suppose m - 8 = l*m. Which is the closest to -2\/7? (a) m (b) 1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (141\/6 + 10)\/(2\/(-36)). What is the common denominator of 4\/(-6) - (-154)\/6 and (q\/270)\/((-2)\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025546694.\nAnswer: 2, 601, 809, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 13*m + 22. Calculate the lowest common multiple of 1 and i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1010181 and 18.\nAnswer: 6061086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11)*d**(-2\/51) assuming d is positive.\nAnswer: d**(-563\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 + 41. What is the remainder when i(0) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 312\/(-117) + 140\/21. Solve -2*v = 15*m - 14*m + 13, 3*m = l*v + 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 14*p + 70 = 0. Let h = 13 + p. Solve -h*r + r = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*k - 2 - 108*k + 72*k.\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2417 by 6.\nAnswer: 2417\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from vnnvqqwwnvunuux.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 9*u**2 - u - 14. Let c be z(-9). Let w(j) = -2*j**3 - 6*j**2 + 4*j. Let s(h) = 2*h**3 + 5*h**2 - 3*h. Give c*w(b) - 6*s(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.543 minus 13483.6?\nAnswer: -13592.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) 1\/95 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9603039955 - -0.06.\nAnswer: 9603039955.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-2 - 22) - (3 + 6)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 4959?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/230940 and -131\/3695040.\nAnswer: 3695040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.51? (a) 0.2 (b) 1.3 (c) -0.2 (d) 2 (e) -3 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -75, -202, -439, -822, -1387?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktktkttwtwqkktaaktaa. Give prob of sequence ak.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((-4)\/4 - 0) - -16. Suppose -19*z + c*z = -150. Differentiate -37*n**2 + z*n**3 - 32 + 37*n**2 with respect to n.\nAnswer: 90*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15.4 (b) -9\/19 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (sqrt(3) - sqrt(2100)\/sqrt(7)))*-3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1020804, -4, -3.\nAnswer: -4, -3, 1020804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, n: 2, d: 1, h: 5, k: 1, r: 2}. Give prob of sequence hcrn.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c = 60*c - 1800. What is the lowest common multiple of c and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*126419.\nAnswer: 2654799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*q**3*r**3 - 6*k**2*q**3*r - 17*k**2*q**2*r**2 - 2*k**2 + 6*q**3 - 3*q*r**3 + q*r**2 wrt q?\nAnswer: 6*k**2*r**3 - 36*k**2*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4293961.3 to the nearest ten thousand.\nAnswer: 4290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(300))*5 - 1*(sqrt(300) + -5))**2 + 0.\nAnswer: -800*sqrt(3) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-1764))\/(2\/(-112)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*x - 72 - 48 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 5:35 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212*t**3 + 470*t**4 - 467*t**4 + 165*t**3 - 1 + 2*t**2 to r*t + l*t**4 + o + n*t**3 + y*t**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2307825663903 - 107.\nAnswer: 2307825663796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 1. Let u(f) = 1. Suppose -30 = -4*k - 34. Let s(t) = k*i(t) + u(t). Let h(w) be the first derivative of w**2\/2 - 41. Determine h(s(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncnc when four letters picked without replacement from {c: 13, o: 5, n: 2}?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n = 16*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 + 7*d + 4. Let z(f) = 3*f**2 + 4*f + 2. Give 3*l(m) - 5*z(m).\nAnswer: 3*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 7:57 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -3*z - 27, 5*z - 64 = -3*s + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + d - 3*d in the form j + q*d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**5\/40 - 7*u**4\/24 + 2*u**3\/3 + 2*u + 21. Find x such that c(x) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7))**(-34)*(b**15\/b)\/(b*b**(3\/19)) assuming b is positive.\nAnswer: b**(-230\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -289*k - 298. Let a(i) = 72*i. What is -4*a(h) - n(h)?\nAnswer: h + 298","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 + (2 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 v, and 2 k when four letters picked without replacement from {v: 4, k: 2, n: 1, e: 1, d: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3010 and -7\/215?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*h + 105*h - 42*h as z + k*h and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 461*c - 928. Determine y(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -754 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 152623 (base 7) to base 13\nAnswer: 10750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**7\/(n**11\/n**1) assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -3\/8, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + t + (-3 + 2 + 0)*(-4*t + 5*t + t) - 2*t + 0*t + 0*t + 0*t + 0*t - 3*t + (-2*t + 2*t + t)*(4 - 3 - 4).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -3. What is the least common multiple of 10\/45 - (-158)\/18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128250 is divided by 16029.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.5695 to 1 decimal place.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 144 - 5?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.82 + 1.28. Round c to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.135 - 0.365. Suppose 2*j - 60 = 17*j. Which is the closest to -5? (a) -2\/17 (b) j (c) h (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v + 3*v - 216 = 0. Let z(a) = -a**2 + 29*a - 93. Give z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -450 + 455. Suppose 2*h + 5*q = 30949, 2*h + g*q = h + 15462. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684067279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/60 + a**4\/3 - a**3\/3 - 13*a**2. Let o be s(6). Solve 4*r - 2*r = -o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + (-1 - (-8)\/(-5)). Which is the third smallest value? (a) -0.1 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 4. Let c(u) = -u**2 - u + 4. Let w(q) = -3*c(q) + 4*m(q). What is w(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6.2. Let q = -0.24 + -0.26. Let h = 55\/147 - 2\/49. Which is the third smallest value? (a) q (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -27, 7, -0.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = p. Let s(t) = 134*t + 1477. Let z be s(-11). Suppose -4*m = 5*d, p*m = m - z*d. Solve -15 = 5*a - 2*i - m*i, 4*i = 4*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 571 or 591?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7.7. Let u = 3.3 - h. Let f = 1844\/10021 + -2\/911. What is the second smallest value in u, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 1. Let h(p) = -3*p + 7. Let s(t) = 6*f(t) + h(t). Let u be s(1). Let a = u + 11. Which is greater: -3\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272294953*g**4 + 1113457479*g?\nAnswer: -3267539436*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 389.9819 + -390. Let p = -1 + 1.015. Let g = o + p. Round g to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2650 + -2?\nAnswer: 264a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -31*z**4\/6 - 19*z**2 + 30*z - 74. Let l(a) be the first derivative of k(a). Differentiate l(g) with respect to g.\nAnswer: -124*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 191 + -167. Suppose 21*v - q*v = -33. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118515 by -9.\nAnswer: -39505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -532749687291 minus -0.2?\nAnswer: -532749687290.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*j + 1102 + 1780 - 992 = 0 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 5. Let o = -1 - p. Suppose 4*d + o*y = 220, -4*y - 164 = -3*d + 1. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 = 3*o, -l + 2*o - 2 = o. Let v(w) = w**3 - 2*w**2 + w - 1. Let j be v(l). Let n be -1 + j\/((-1)\/2). Is n > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 9. Let t be j(-7). Let n(i) = 2*i + 2 + i**t + i**2 + 0*i**2 - i**3 + 0*i**2. What are the prime factors of n(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6889, 13874, 20859, 27844, 34829?\n\"Answer: 6985*s - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -383*z**4 + 3*z**3 - 2334*z wrt z.\nAnswer: -4596*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 16*a**3\/3 + 5*a**2 - 12*a. Let d be m(1). Let i = d - 11. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -101106633?\nAnswer: 101106640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/168)\/((3\/3)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1764*-519.\nAnswer: 915516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:00 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q - 40*q + 19*q. Let v(z) = 888*z. Give v(w(b)).\nAnswer: -888*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110100111000101110011 (base 2) to base 12.\nAnswer: 4113043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/111*(-2)\/(-36)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284 and 1562?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.0458\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 531*i**6\/20 - 13*i**5\/4 - i**4\/4 - 911*i**2 + 2. Find the third derivative of g(p) wrt p.\nAnswer: 19116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0291720286 and 5.48539?\nAnswer: 5.5145620286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 b when four letters picked without replacement from bbkbbkekkkekkkebe?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 285814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 6, s: 1, i: 7}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 15 = -4*k, -294*k + 298*k - 2*f + 34 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 + 1)*(3 + 2 - 4)*(-1 - 2*v + 1)*(3*v**3 - 3*v**3 - 2*v**3).\nAnswer: -40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 9*k + 22. What is the smallest common multiple of -1*84\/(-10)*5 and y(0)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/3 - 5*l**4 + 28825*l**3\/3 + 86555*l**2\/3 + 28860*l + 28864\/3 = 0.\nAnswer: -176, -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.22571ml in litres?\nAnswer: 0.03122571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*m + 36*m - 9390 - 10485. Calculate the greatest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-36)\/78\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695)*6 + sqrt(2695))\/(sqrt(396)*6).\nAnswer: 49*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j**4 + 0*j**2 - 8 + 0*j**3 - 6*j + 6\/5*j**5. What is the first derivative of o(b) wrt b?\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 0.1 (c) 9 (d) 0.4 (e) -0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1652, 1699, 1818, 2045, 2416, 2967, 3734?\n\"Answer: 6*c**3 + 5*c + 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 607093*i + 1821288.\nAnswer: -(i - 607096)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: (-12)\/285*(-10)\/4\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 3*j**3\/2 + 5*j**2\/2 - 24*j. Let d(v) = 4*v + 2. Let l be (-2)\/(-7) + (-165)\/(-35). Give l*d(y) - 2*m(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:35 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 79*f**2 + 5*f + 6. Let y(d) = -d**3 - 5*d**2 + 4*d + 18. Let v be y(-5). Let h be t(v). Suppose 0 = -x - 5*w + h, -2*w = -2*x + x + 319. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/7 + 16*m**3\/7 - 44*m**2\/7 + 48*m\/7 - 18\/7.\nAnswer: -2*(m - 3)**2*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741632 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*w**3 - 3 + 483*w**3 + 3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -270?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -2\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - ((-920)\/48 - -42)) + 1.\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -121 or -534527\/4444?\nAnswer: -534527\/4444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, b: 9}. Give prob of picking 3 b.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1606\/150067?\nAnswer: 1606\/150067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (7 - (11 - 9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 508*g - 1356. Let y be s(5). What is the greatest common divisor of 64 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q. Let j(z) be the third derivative of -28*z**2 + 0*z**4 + 0*z + 0 + 0*z**3 - 1\/60*z**5. Calculate u(j(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5. Let u = 0.27 - -0.03. Let m = 0.1 + u. Which is the nearest to i? (a) m (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -395, -842, -1465, -2270, -3263, -4450, -5837?\nAnswer: -7430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 1)*(2*g + 2*g - 6*g) + 5*g - 5*g + 6*g)*(132*g + 32*g - 475*g).\nAnswer: -3110*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39004993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024644809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 773505067 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2012 (base 3) to base 13\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.0481 - -0.5581. Which is smaller: c or -0.01?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001 = -25*f + 389 - 288 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let d be l(-9). Let q(b) be the third derivative of -b**5\/60 + 11*b**4\/24 + 17*b**3\/6 - 11*b**2. Let s be q(d). Is s < 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 756\/7*(-4)\/(-6). What is h in 168*h**3 + t + 32*h**5 + 308*h**2 - 12*h**5 + 108*h**5 - 266*h**4 - 300*h - 118*h**4 = 0?\nAnswer: -1, 1\/2, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*b + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7012, 14017, 21018, 28015?\n\"Answer: -2*b**2 + 7011*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 2:01 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**20\/(x*x*x**(1\/9)\/x*x))\/(x**13*x*x*x*x**(-4)\/x) assuming x is positive.\nAnswer: x**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 3 - 3)*(242*j - 63*j + 62*j).\nAnswer: -5061*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 127 - 323. Let l(j) = j + 13. Let s be l(-6). Calculate the greatest common factor of s and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 27. Let b be u(-27). Let g = 0.25 - 0.16. What is the closest to -2\/7 in b, -2, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 266\/70 + (-12)\/3 + (-26)\/(-5). Let s = 137 + -80. What is the second derivative of -14*k - 10*k**i - 57 + s wrt k?\nAnswer: -200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 2\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18308, 18298, 18288?\n\"Answer: -10*k + 18318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c + 1034. Let b(v) = -20*v - 4144. Determine -4*b(i) - 17*k(i).\nAnswer: -5*i - 1002","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14894824 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 8 = j + 10, j + 4*v = -15. Suppose 0 = -x - 0*x + 3. Suppose -2*s - x*s = 20. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28702 + 2353525\/82. Let p = d + 2083\/328. Find the common denominator of 3 - 476\/24 - -3 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876 = -43190*m + 43117*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0007 and -0.7019.\nAnswer: -0.7012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191884 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4 = -g, -2*g + 6*g + 2*a = 26 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 879.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002013119 rounded to 6 decimal places?\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3 - 621*c**2 + 7012*c + 37920 = 0. Calculate c.\nAnswer: -632, -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3234 - 5468?\nAnswer: -86a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**3 + 1429*x**2 + 531*x + 1056. Give b(179).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18 + 172\/1935\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3224698364 to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 132*c + 256.\nAnswer: 2*(c + 2)*(c + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/60 - m**4\/24 + m**3\/6 - 2*m**2. Let v be n(-2). Let w = 15 - v. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 17*d**2 - 32*d - 29. Let c = -1394 - -1379. Give h(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {c: 1, x: 3, e: 2, w: 3, z: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = 7*s. Let d = s + -2. Is d at most as big as 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 + 12*v**2 - 9*v - 22 = 0. Calculate v.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(104)*-2 + sqrt(104) - sqrt(104)) + sqrt(104)))\/(-5*sqrt(64)\/(sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3)))) + -2.\nAnswer: -28*sqrt(13)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 20 + (2 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 20*z + 14*z + 6*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 48*w = 49*w + 1, 0 = -3*n + w - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from pgghgvhbhbphbg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -61. Suppose 0*q - 2*q = -2, 3*q + p = -3*h. Is h at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 2*x - 2*b + 188, 0 = -x + 91*b + 415 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**9\/3024 + y**7\/420 - y**5\/120 + 7*y**3\/3 + 6. Let j(x) be the third derivative of l(x). Factor j(n).\nAnswer: -n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -17*f**6\/6 + 2*f**5\/5 + 9*f**2 - 2*f - 1492. Find the second derivative of l(g) wrt g.\nAnswer: -340*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -71\/5. Let y = 1\/20 + t. Factor -y*b**3 + 0*b**2 - 1\/2 + 3\/4*b.\nAnswer: -(b - 1)**2*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130103 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468399 is divided by 97893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-5) + -3)\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 - (((-1 - -7 - -6) + -12 - 5) + 14)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:24 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -490 + 562. What is the common denominator of (-2*(-177)\/99)\/2 and (-54)\/r*(-140)\/(-18)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-2)\/8)\/((-82)\/(-86100)*75).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 652408?\nAnswer: -652413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/65)\/(((-558)\/10)\/9)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-3)*-3*9\/27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vddd when four letters picked without replacement from dvddddvvdddddddd.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 87373537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - 3*z - 3. Let w(p) = 0 - 1 - p - p**2 + 0*p**2. Suppose 0 = -3*q + q + 10. Suppose -3*b = 2*b - q. Calculate b*f(d) - 3*w(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -269, -393, -513, -629, -741?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*f - 25, 3*d - 2*d - 5 = 0. Let c = f + 11. Suppose -9 + c = -q. Solve 4 = 5*j - q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -29, -36?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1002, -1006, -1010, -1014, -1018?\n\"Answer: -4*j - 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 + 322749*q**2\/2 + 8680737789*q\/2 + 8680415043\/2.\nAnswer: 3*(q + 1)*(q + 53791)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9017.00001 - 9079. Let j = 62 + p. What is j rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bskjb. Give prob of sequence sj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -243 + 356. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 415*i - 201. List the prime factors of k(4).\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. What is the second biggest value in r, -3\/5, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 take away 673?\nAnswer: -677.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 7. Let u be ((-24)\/n)\/((-1)\/12). Let k = -8 + u. Calculate the greatest common factor of 20 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -80*o**3 - 5*o**2 - 5*o + 2. Let f(u) = 200*u**3 + 12*u**2 + 12*u - 6. Calculate -5*f(z) - 12*x(z).\nAnswer: -40*z**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150931 and 178904?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + d = -2*x + 650, 2*d + 650 = 5*x. Suppose -4*t + x = -154. List the prime factors of t.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 301 - -6?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose 58*d + 26*d = -42*d + 63504. Suppose 6*i + a*i = d. List 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 b(f) = 6*f**2 - 4. Let y(i) = -7*i**2 + 4. Let x(r) = 5*b(r) + 6*y(r). Let u(d) be the first derivative of x(d). Let w(z) = z. Determine u(w(v)).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and 44?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 12:31 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 16, 25?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 3:57 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 5*d - 3. Let w(t) = t**2 - 5*t + 3. Let p be 0\/5 + 0 + 2. Let f(q) = p*l(q) + 3*w(q). What is the units digit of f(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 940*v - 22*v**3 - 16*v**2 - 940*v wrt v?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 396 + 504 = 5*t, 0 = d - 4. What is the lowest common multiple of t and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.3 - 5. Let x(j) = -j**2 - 5*j + 4. Let k be x(-5). Suppose k = 5*l - 4*l. Sort n, -1\/3, l in decreasing order.\nAnswer: l, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25255451207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 8) to base 6\nAnswer: -1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + b + 35 = 7*k, -2 = 3*k + 4*b. Let n be ((-595)\/28)\/5 + k\/(-8). Let r(w) = w**2 + 2*w + 1. Determine r(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 731954 * -0.32\nAnswer: -234225.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -186892138*m*v**2 - 221497703*v**2 wrt m?\nAnswer: -186892138*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226392371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 18*n + 180. Let r(z) = -3*z - 8. Calculate the lowest common multiple of n and r(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/20 + 5*r**4\/6 + r**3\/6 + 6*r**2 + r. Let m be h(-10). Which is the closest to 0? (a) -4 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 3 - 3 - -5 - -20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 7*k + 3. Let g be d(7). Suppose 302998 = g*z - m, 547308 = 4*z + m + 143306. What is z rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 4*s**2 - s + 5. Suppose -1 = -c, 4*y + 3*c = -18 + 5. Is f(y) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/12 - d**2. Let q be (-16)\/(-10) - (-13 - 126\/(-10)). Let l(s) = 6*s**q - 521 + 1046 - 525. What is l(y(k))?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -11235 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**8\/252 - 4*d**7\/315 - d**6\/90 + 2*d**2. Let o(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19226 is divided by 1746.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340 - 9*c**2 - 98 - 82 - 72 + 6*c**2 - 88.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -7\/4 (b) 1.85 (c) -0.1 (d) -838 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 21. Suppose -3*k - 9 = 0, -3*j - w = -2*k - 27. Suppose j*u - 4*o - 420 = 0, -452 = -4*u - o - 12. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1399 - 989 + 364)*(-z + 2*z + 0 - 6) in the form a*z + q and give a.\nAnswer: -2024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 1416 = -9*p. Is p\/4*(-836)\/(-114) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6138 = 130*y - 5228 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2198 and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1 - 2 + 3*i**3 + 0*i**3. Let w be p(1). Suppose 5*v - 3*k = -0*v + 42, -23 = -w*v - 5*k. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70449 + -70446. Let i(n) = -7*n - 2. Let k be i(-2). Solve -5*a - k = c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000113302 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14 = 2*i, 0 = -54*i + 58*i - 3*c. Let k(q) be the second derivative of -1\/10*q**5 + 8*q - 1\/3*q**i + 0 - 1\/3*q**4 + 0*q**2. Solve k(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26846 + -0.32846. Sort -1, -2, -87, m in descending order.\nAnswer: m, -1, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrsrrrrrrrrrrrr. What is prob of picking 3 r?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54850974 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h**2. Let m(t) be the third derivative of t**5\/24 + 4*t**3\/3 - 20*t**2 + 2*t. Let b(q) be the first derivative of m(q). Give b(s(n)).\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -258 and 3?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 1, a: 2, h: 2, i: 1, d: 1}. Give prob of picking 1 i and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-8 + (1 - -1)). Let o = u - 12. List the prime factors of (-6 - -3)*8\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbss when four letters picked without replacement from srrsmbbm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -2 - (-1709 - -1694)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 37 + 10 + 2*f**3 + 32. Suppose -s = 3*s - 16. Is r(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 6*n = -1480. Suppose -3*h + 223 = -2*a - 24, -5*h = 5*a - n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 272064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -67. Suppose 4*z + 486 = s*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 24*f + 32. Let k(r) = -5*r**2 + 119*r - 162. Let l(v) = 11*a(v) + 2*k(v). What is the lowest common multiple of 3 and l(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + (55 - 67 - -71)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -11033?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*n + 969 = 3*n, -4*n = -12. Let u = t - 127. What are the prime factors of u?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 - 5*s - 17. Let a(b) = 3*b - 5. Calculate the remainder when a(6) is divided by j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 0. Let s(z) = -69*z + 1. Let a be s(-1). Calculate the greatest common divisor of a and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14136, 14137, 14138, 14139, 14140, 14141?\n\"Answer: f + 14135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and -146.3.\nAnswer: -102.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 20*n**2 - 22*n + 10. Let d(c) = c**3 + 19*c**2 + 21*c - 9. Let z(k) = -5*d(k) - 4*g(k). What is the units digit of z(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9355 - 0.0245. Is j <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 11:41 PM?\nAnswer: 565","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 t when four letters picked without replacement from oooooooootoootoootoo.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53*(-55)\/4081)\/((-4)\/70)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 619006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114833, -229701, -344569, -459437, -574305, -689173?\nAnswer: -804041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 - 2*c - c - 4*c + 3*c - 2*c + c + 0*c + (-4*c + 0*c + 2*c)*(3 + 0 - 1).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 + 26*o**2 - 4*o**2 + 37*o**2.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lel when three letters picked without replacement from aeaifalila?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1250) + -1 - sqrt(1250) - (-5 + (3 + sqrt(128) - sqrt(128) - sqrt(128) - sqrt(128)))**2.\nAnswer: -517 - 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-8)\/(-10))*2177658\/(-259245)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 1326*c + 65203. Determine n(-46).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -134721 in 0.3, 0.08, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*p - 10*p + 2644 - 2349 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646 + 26*c + 646.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbyqwwwquuyyyyuuyywq. Give prob of sequence wq.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 0*h**2 + h**4 - 8*h**2 + 5*h**2 - 11*h**3 + 5*h in the form p*h**2 + k*h**4 + w*h + d + u*h**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 12*j**2 + 9*j + 34. List the prime factors of z(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 4*a + 118 + 50 + a.\nAnswer: 3*a + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7125 + 7142. Solve 0 = 4*j - 2*g + 8, -b*g + 12 = -5*j - 14*g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 839865 by 14235.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-120))\/(6\/(-270)*2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d + 116. Let z be y(-11). Let t be z\/15*3*(0 + -2). Determine w so that 1\/2*w**4 + 0 - 3\/2*w - 5\/2*w**t - 1\/2*w**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 16, 0.3, -2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfg when three letters picked without replacement from fghg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.748 in 2, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**3\/3 - 3*p**2 - 3*p - 12. Let o = -56 + 56. Suppose o = -5*l - 5 - 25. What is a(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110\/3 - 26\/3*c**2 - 83\/3*c - 1\/3*c**3 = 0 for c.\nAnswer: -22, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - g - 5 = -2*n, -5 = -g + n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34923 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -53 + 52 - 52*m**2 - 3*m**3 + 53*m**2 - 5*m. Let v(i) = i**3 - i**2 + 1. Give h(w) + v(w).\nAnswer: -2*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 42*s + 44. Let i be b(-41). Let p(f) = 219 - 3*f**2 - 218 + 0*f**i - f - 2*f**3. Let a(v) = 3*v**3 + 4*v**2 + v - 1. What is 3*a(d) + 4*p(d)?\nAnswer: d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -47, -102, -179, -278?\n\"Answer: -11*g**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -479747 - -479745. Suppose 4*p - 2 - 6 = 0. Suppose -h - 1 = p. Sort -1, h, u in ascending order.\nAnswer: h, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(-3*a - a**2 + 3*a) + 2*a**2 + 0*a + 0*a - a**2 - 2*a**2 + 5*a**2 - 2 + 54*a**2 - 2 - 60*a**2 + a**2 + 0 + 0.\nAnswer: -2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z + 27*z + 120 = -11*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*x + l**2 - 54*l*x - 4995*x + 2 wrt l.\nAnswer: -4*l*x + 2*l - 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)*w)**33\/(w\/(w**(3\/5)*w)*w\/w**(2\/5))*(w\/w**(-1\/4)*w*w\/(w*w*w**(-6\/11)*w))**(-19) assuming w is positive.\nAnswer: w**(1271\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1\/3, 0.5, 1, -65 in descending order.\nAnswer: 1, 0.5, 1\/3, 2\/11, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-4 + 0 + 0 + -5 + 6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 22*i - 10. Suppose 0 = -4*b + 4*t + 56, 4*t = -0*b - b - 6. Let a(k) = 7*k - 3. What is b*a(v) - 3*l(v)?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1860 by -5.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 1.49 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*o - 24 = -v, v + o = 3. Suppose 3*a = -0*a + v. Let -y**3 + y**3 + 2*y**4 + a*y**3 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7681 + 7673. Sort h, -1, -31, 3 in descending order.\nAnswer: 3, -1, h, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 102. What is the remainder when -4 + d\/(-39) + (-7728)\/(-39) is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 - 9792076*b\/9 + 2176016\/3.\nAnswer: 2*(b - 1632012)*(3*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 - 147 + 446 - 154 - 5*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1612, -2443, -3274?\n\"Answer: -831*z - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1255 in 60.9, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*x + 4*x + 90*x**5 + x**2 - 34*x wrt x?\nAnswer: 5400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-45)\/(-55))\/(1203\/35288).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, 1278481, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(120)\/sqrt(4) - sqrt(30)))\/(sqrt(90)*3) + -4 + 2*-2*sqrt(300)*2)**2.\nAnswer: 640*sqrt(3) + 19216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n\/(n*n**(-21)\/n)))*n**(-5\/4)\/n*n**(-31)\/n**(-16\/9) assuming n is positive.\nAnswer: n**(-305\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -19*m**7\/105 + m**6\/20 + 5*m**5\/2 - m**3\/3 - 156*m**2. Find the third derivative of p(r) wrt r.\nAnswer: -912*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/5 and -23\/735.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/20 - (-676)\/10. Suppose 3*d - k - k - 58 = 0, -5*k = -4*d + w. Find the third derivative of -g**2 + 22*g**3 - d*g**3 + 2*g**4 wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 1\/14 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**11\/a*a**(-2\/31))\/(a**2*a*(a**(3\/7)\/a*a)\/a) assuming a is positive.\nAnswer: a**(1629\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -11 (b) -2\/7 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and -336322027604.2.\nAnswer: -336322027614.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/600)\/((-2)\/(-2)) + (-2257)\/(14783350\/524)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 31*j**4 - 29*j**4 - j**2 - 2*j**3 - 30*j**4 - j + 88*j**4 as f + q*j**2 + g*j**3 + u*j + t*j**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 20265108*n - 34222883520972.\nAnswer: -3*(n + 3377518)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 + 53 + 43 - 4*n to the form v*n + z and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-3 + 2) - 4) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.145 + 0.055. Round p to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6430169498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200672207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + 2*l)*(6*l - 3*l - 2 + l).\nAnswer: 12*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 4*q**2 + 5*q - 2. Let w = -2 - -5. Let h be j(w). Suppose -b - h*b + 10 = 0. Solve z = -b*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-120)*6)\/(2\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:27 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -1\/3 in descending order.\nAnswer: 0.3, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-23)\/4)\/(20*(-12)\/(-960))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*s + 1, 133*s - 130*s - 2*p = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1238*u = 4*q - 1237*u - 14, 2*q - 1 - 3 = -2*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*v - 119*v + 11671. Which is bigger: v or 1062?\nAnswer: 1062","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (156\/12 + -12)*2. Let -2\/3 + 5\/3*a + 1\/3*a**3 - 4\/3*a**k = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Suppose d*t - 3*t = -4*q + 20, q - 4*t = 5. Suppose 3*l - 421 = -q*r, 202 = 2*r + 4*l + 28. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2526 - 260?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 370, 1335, 3218, 6325, 10962, 17435, 26050?\n\"Answer: 51*d**3 - 4*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*i**3 + 1851*i**2 - 2*i - 1976091 wrt i?\nAnswer: -207*i**2 + 3702*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 35 = -4*d. Suppose -280 = -5*k - 30. What is the highest common divisor of k and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -10. Let g = m + 1. Differentiate 3*v**4 + 30*v**2 + 3 - 30*v**g wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 6. Let j be (-1 + x)*(-45)\/30. Suppose 1 = -j*k + 7. Calculate the greatest common factor of 16 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/270*-30 - -3 - 1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82418*k**4 + 166460*k**3 - 656088*k**2 - 12976*k - 64 = 0.\nAnswer: -4, -2\/203, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**4 - 324*b**3 - 5024*b**2 + 1296*b + 20160 = 0.\nAnswer: -60, -21, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.046202556 and -0.16679.\nAnswer: -0.212992556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 16) to base 5.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*151.4\nAnswer: -605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -321441203 (base 6) in base 7?\nAnswer: -66203316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 2*z - 2. Let s(f) = -f**2. Calculate o(w) - 4*s(w).\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*2*1 - (-168)\/48)*(79 - 85)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 - -117?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 6*i**2. Let w be q(6). Let t be -1 + w\/(3 + -2). What is the units digit of (-4 + 2)\/(t\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**2 + 14*c**2 + 1440*c**3 + 9*c**2 - 4*c**2 - 1434*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*v - 2444713 - 1007562 + 549683 = 0. List the prime factors of v.\nAnswer: 2, 11, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4707, 8749, 12791, 16833, 20875?\nAnswer: 24917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 13 + 2 = -2*s, 40 = -5*s + 8*z. Solve -w - 21 + 14 = s for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from nzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 3*v - v + 0*v - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -3*a**2\/2 - 3. Let k(g) = g. Determine k(m(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 678.95487.\nAnswer: 678.45487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**3 - 43*a**2 + 484*a + 528. Calculate t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 43*r**5\/60 + r**3\/6 - 5*r**2 - 65*r. Give l(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1031*0.1\nAnswer: 103.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0\/5)\/(-3)*2\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466, 927, 1386, 1843, 2298, 2751, 3202?\nAnswer: 3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6 and -2 - (-234)\/32 - 3\/(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**17 assuming t is positive.\nAnswer: t**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21211 + -10?\nAnswer: -21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2314\/10709?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 19 + 39 - 1 + 30.\nAnswer: 2*d + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2538 by 846.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.019 + -6.981. What is the fourth smallest value in 4, w, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*d**2 - 1 + 4)*(-1 + 2*d + 1) + (0*d**3 - 2*d**3 + d**3)*(1 + 3 - 2).\nAnswer: 6*d**3 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1364, 6, -14, -1\/4, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -28*y**2 + 17*y - 46. Let s(w) = 3*w**2 - w + 4. Let z(v) = m(v) + 9*s(v). Determine z(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - t**3 + t**4)*(-5 + 2*t + 5)*(1 + 1 + 0).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 65*a**2 + 13*a - 15. Let y be k(8). Suppose 2*v + y = 7*v + g, 5*g = -5. What is v rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 21546 = -2*q, q - 7*j = -j + 10790. What is the highest common factor of 34 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 * 39\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 4158.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 1. Suppose 3*t + 3*j - 2 = 7*t, -t + 4*j - 7 = 0. Suppose 0*z - z = -2. Let c(w) = 4. What is t*c(f) + z*l(f)?\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (205\/102 - 2)\/(60 - (-7260)\/(-120))?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*d - 409 = -1701 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 375.05 - 360. Let k = 15 - x. Which is the second biggest value? (a) 3 (b) 4\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12904*o**2 - 6544*o**2 + 111*o**3 - 6360*o**2.\nAnswer: 111*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-21)\/(z\/(z*(z\/z**7)\/z)))**18 assuming z is positive.\nAnswer: z**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5196 and 14?\nAnswer: 36372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1142, 1227, 1314, 1403, 1494, 1587, 1682?\nAnswer: 1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -7*u - n, 2*n + 8 = -3*u. Solve u = 5*r + 3 - 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 13*w + 50 - 7*w as y + h*w and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from eetteeggggetegggt.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39176026 and -11.\nAnswer: 430936286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 13. Let o(f) = -47*f. Determine s(o(l)).\nAnswer: -47*l + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4920229.\nAnswer: 23, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(0 - -1) - 1. Let w(d) = d**2 - 2*d + 3. Let j be w(3). Let b = r + j. Calculate the least common multiple of 2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*h + 10, 0*h + 4*q = 2*h + 4. Let z(t) = -2*t - 8. What is the smallest common multiple of z(h) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*w + 3*f - 52, w + f = 8. Let l(a) = a**3 - 35*a**2 + 63*a + 106. What is the smallest common multiple of w and l(33)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1435?\nAnswer: 1435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**5\/30 - 7*k**4\/24 + 5*k**3\/6 + 5*k**2. List the prime factors of s(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 48. What is the nearest to 1 in -11, p, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) + (-150)\/(-625)*(-10)\/3. Which is smaller: 12\/583 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5 + 2*k + 1 - 3*k - 3. Let v be d(-2). Suppose 5*h = -4*w - 38, -v*w + 49 = -3*h + 4. Put -4, -5, h in descending order.\nAnswer: -4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*f + 121*f**2 + 40*f**2 + 281449 - 25*f**2 - 4*f**3 - 281449 = 0. Calculate f.\nAnswer: 0, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let i(k) = k + 8. Let q be i(-6). Let a(o) = -3*o**2 - 4*o**q + 2*o**2 - o**2. Give z(a(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407781*t + 15*t**3 + 815563*t - 407784*t + 8*t**2 - 8*t**2.\nAnswer: 15*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022053 less than 16.54152?\nAnswer: 1022069.54152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 858?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -12642533?\nAnswer: 12642515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6085 is divided by 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - -13) - 6 - 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/3)\/h**(1\/3))**(2\/29) assuming h is positive.\nAnswer: h**(-10\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27646758, 55293516, 82940274, 110587032?\nAnswer: 138233790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6457179*j**3*y**3 - 736*j**3*y**2 + 3*j*y**2 - 56*y**2 wrt y.\nAnswer: -38743074*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**3 + 36*t**2 - 2*t**3 + 144*t - 146 + 43 - 25 - 3*t**2. Factor q(h).\nAnswer: -3*(h - 24)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4477.051ml?\nAnswer: 4.477051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 386, 799, 1352, 2039, 2854, 3791, 4844?\nAnswer: 6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -16, 4, -3, -11 in decreasing order.\nAnswer: 4, 3, -3, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10*(-5)\/30)\/(-5))\/(2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00276625 to 5 dps.\nAnswer: -0.00277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 0.59. Which is the nearest to -2\/5? (a) 3 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14116787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/10)\/(((u\/u**(1\/23))\/u)\/u))**(-2\/3) assuming u is positive.\nAnswer: u**(-263\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 565*v**2 + 4908*v**2 - 17 + 67*v wrt v?\nAnswer: 10946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 + 636 = -4*h - j, 0 = h + 2*j - 35. What is the remainder when 4463 is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -1, 0, -129, 5 in increasing order.\nAnswer: -129, -1, 0, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 28) + 15 - -11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 48*o - 177. Calculate the remainder when 658 is divided by l(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 17*q - 8 - 1 - 2*q + 1 + (1 - 2 + 0)*(2*q - 2*q + q) + 5*q - q + q + (-1 - 1 + 1)*(q - q - q).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 3\/7, 0.2, -1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1692 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2468 + -17305\/7. Let j = -467\/231 + 52\/21. What is the common denominator of j and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 14*o - 48. Let t(v) = -1. Suppose 0 = -3*m - 6, 0 = 2*z - 3*z + 3*m + 2. Let g(n) = z*j(n) - 4*t(n). Factor g(f).\nAnswer: 4*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 1, -8 in descending order.\nAnswer: 1, -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(15\/7)*(l*l\/l**(3\/11))\/l*l assuming l is positive.\nAnswer: l**(298\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 352976744 to the power of 1\/2, to the nearest integer?\nAnswer: 18788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + (-1 - (3 - 10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:08 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 812425982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2229*n**2*r - 5264*n**2 - 10312*n*r - 2264*n + 1 wrt n?\nAnswer: 4458*r - 10528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39168 and 3840?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 29942?\nAnswer: -29940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 107\/10*s**2 - 7\/10*s**3 - 81 - 1\/10*s**4 + 711\/10*s = 0. Calculate s.\nAnswer: -9, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/63004 and 91\/94506?\nAnswer: 189012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7984199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - 0.48471.\nAnswer: -0.42471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 7857?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlll when four letters picked without replacement from lzzllzlzllzzzl.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from mihvmmvhhmhmmmsvv?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*c - 49, 7*c - 262 = -5*u + 4*c. Suppose -m = -14*q + 11*q - u, -2*q - 4 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 5:23 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 9*t + 2. Let n(b) = -b - 1. Let d(i) = -m(i) - 5*n(i). Determine d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 7*f - 3. Let m(b) = -2*b**2 + 7*b - 2. Let u(n) = 4*m(n) - 3*q(n). Let d be u(3). Solve p - 4*y = 7, -7 = d*p + 3*y + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554 = 256*z + 4566 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1939?\nAnswer: -2\/1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3406977*-0.4.\nAnswer: -1362790.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide (-19)\/(247\/46709)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h**5*l - 12*h**3*l**3 + 4*h*l**3 - 35*h*l wrt h.\nAnswer: 160*h**3*l - 72*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4325.86 and 215675.\nAnswer: 220000.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Does 1923 divide 651897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - 3*y + 5. Suppose w = 5*w. Let c be (-2)\/(w - 3\/(-6)). Calculate g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1411441000 to the nearest 1000000.\nAnswer: -1411000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -10*c + 9*c. Suppose 7*h + 251 = 3*h + b, 4*h + 256 = -4*b. Let u = h + c. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.926? (a) -0.2 (b) 2\/9 (c) 8722\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 9) to base 16.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-86)\/(-4) - (-2)\/(-4). Suppose -4*j = 4, 4*j - 6 = -5*y - 0. Let g be -45 + 48 + 12\/y. Solve 2*c + 3*c = 2*k - g, 2*k + d = -5*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -1\/5 (c) 2\/9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22277 - -2873753\/129. What is the common denominator of 113\/30 and a?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 1. Let f be -4*3\/(-6) - 1. Let p be (0 - f) + 1*6. Does 14 divide t(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/((-176)\/(-72)))\/(0 - (-3)\/1). Solve 2*p + 13*j = 12*j + 6, z*p + 4*j - 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-5 + 13)) + 4 - -25 - -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 times -98757.6?\nAnswer: -6616759.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -36352, -4.\nAnswer: -36352, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21583*v**4 + v**3 - 103754 with respect to v.\nAnswer: -86332*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s - 89. Let g be p(14). Sort 3, g, -2, 1\/102 in increasing order.\nAnswer: g, -2, 1\/102, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8449 divided by 22\nAnswer: 8449\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 47*g**2 - 49*g**2 + 2*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 210112002210 (base 3) to base 10\nAnswer: 423624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-28) - (-117)\/12. Solve 6 = -3*b, -2*b - o = -a + 2*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkkk when four letters picked without replacement from {v: 4, k: 3, a: 5}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -290.742 + 290. Let x = -0.8 - o. Let d = x - -0.0613. Round d to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118533.\nAnswer: 3, 39511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 3*g + 12)*(-1 + 1 + 2*g)*(0*g + 3*g - 4*g).\nAnswer: 6*g**3 - 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 132*f**2 - 4022*f + 457. Give d(-48).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(8)\/sqrt(4)) + (5*-2*sqrt(3) - sqrt(3)))**2 + -3.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -311*o**2 + 64*o + 40. Let z be d(-20). What is z rounded to the nearest one thousand?\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 6. Let c(x) = x**3 + 4*x - 5. Let w be c(2). Let b be o(w). Suppose 0*v + 4*v = b. Solve -4*k = 1 + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 31 = 3*s, 3*s - 6*s - 3*o = 27. Let l(j) = 0 + j + 7 - 3. Calculate l(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128835?\nAnswer: 3, 5, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 173*k - 653. Determine p(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(833))**2 - (sqrt(1700) + -1)**2).\nAnswer: -3472 + 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 9 + 5 - 10 + 0.\nAnswer: -3*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 129 = -435 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1005048*s**3 - 3551*s + 19 wrt s?\nAnswer: -6030288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.88913 nanograms in micrograms?\nAnswer: 0.02688913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 34\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2316 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -50*n + 339. What is a(6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 d when three letters picked without replacement from {l: 9, m: 2, j: 2, d: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14580 - 10340. What are the prime factors of n?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2561, -3 in decreasing order.\nAnswer: 2, -3, -2561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1540440 - -1044?\nAnswer: -1535352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2 (b) 3\/2 (c) -0.3 (d) 0.1 (e) -32\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-5))\/((-2)\/(-10)). Let m be 4\/4 + 10 + -9. Suppose 3*v - k*v + 1 = -m*b, 24 = 2*b + 4*v. Calculate the lowest common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33446.\nAnswer: 2, 7, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 + -167. Are r and 34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2539*w**3 - 2*w - 3009 wrt w.\nAnswer: -15234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgsx when four letters picked without replacement from {x: 8, z: 1, g: 1, v: 1, s: 1}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 212 - 147. What are the prime factors of t?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95752549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 14 + (5 - -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 86*a**3 + 10*a**2 + 10*a - 3. Let t(d) = 87*d**3 + 12*d**2 + 12*d - 4. Let u(p) = -4*k(p) + 3*t(p). What is the tens digit of u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 20 - -1 - (-16 - (2 + -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 90*c**2 - 10*c - 896. Let x be p(-90). Find j such that 2\/15*j**x + 2\/3*j**3 + 4\/5*j**2 - 8\/15*j - 16\/15 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 11*c - 24. Let v be b(-7). Suppose -u + 5*a = 5 + 2, 0 = -v*u + 2*a + 8. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 7*j + 29. Determine y(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66b3ab + -2?\nAnswer: -66b3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(242) - (3 + sqrt(242))) - ((sqrt(242) + -1)*-4 - sqrt(242)))*3)**2.\nAnswer: -4950*sqrt(2) + 54675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 17*t + 10. Suppose -7*v + 86 = -5*v - r, 5*v - t*r = 216. Let c(g) = -86*g + v*g + 42*g - 4*g**2. Let m(j) = -2*j. Determine c(m(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 57*q + 52 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62.9 + 61.9. Let a = 0.3 - 0.8. Let u = -0.1 - a. What is the third biggest value in u, p, 2\/15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/(w\/(w\/(w**(2\/7)*w*w)*w)*w*w*w))\/w)))**(-3) assuming w is positive.\nAnswer: w**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20.14 in 3\/5, 0.5, -1\/6, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 9*y + 10. Let r = 32 + -26. Solve 4 + r = -y*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-7))\/(19\/532). Is 19 a factor of ((-190)\/(-4))\/(4\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -4.00437418?\nAnswer: -3.80437418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115881\/8, -4, -2\/5.\nAnswer: -115881\/8, -4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-230)\/(-115))\/((-1*1)\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40629 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 25.9. Which is the smallest value? (a) k (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = b - 10. Let h(x) = -6*x - 2. Let y be h(b). Solve -5*d + 3*k = -0*k - 40, -y*k - 35 = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 53*l**2 + 2*l - 30. Let q be c(4). Calculate the greatest common divisor of 59 and q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(190) + ((sqrt(190) - (sqrt(190)*-4 - sqrt(190)))*3 + sqrt(190) - sqrt(190)))\/(((sqrt(110) + (-1*sqrt(110) - sqrt(110)))*-6)\/(-1*sqrt(176))).\nAnswer: -28*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 459158 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 551893*l + 551893*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 95*h**2 - 13*h + 289. Is k(70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*l - 658 = 0, -5*l + 1847 = 5*v + 202. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -2. Suppose y*m + 4*m - 33 = 0. Suppose -168 = m*x + 3*s, -37 + 311 = -5*x + s. Round x to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -65\/2 (b) 1 (c) 1\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.9. Which is the closest to w? (a) 3\/2 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*k + 31760 = 123*k + 231*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.29 * 347\nAnswer: 447.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11086 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/1678040 and 17\/182067340.\nAnswer: 364134680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000386483 rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (43 - 44) - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyywyywyzwwuwtyr. Give prob of sequence tur.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 28*u**4 + u**5 - 28*u**4 + (u - 4*u + 4*u)*(-u**4 + 0*u**4 - u**4) - 2*u**5 - 1 + 1.\nAnswer: -3*u**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 - 157. Let a(u) be the third derivative of -u**4\/4 - u**3 + u**2. Calculate the smallest common multiple of 16 and a(v).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*y**2 + 94*y**2 - 415 - 34*y**2 + 112*y**2 wrt y.\nAnswer: 514*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 10*q = 0, 0 = n - 4*q + 6. Let d be 0\/((-4*2)\/2). Suppose d - 9 = s. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2137*a - 2832*a - 37732 = -345810 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64390 divided by 12878?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672 = 1463*s - 1505*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 532*a - 3179. Determine n(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1543614 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-437)\/57)\/(-13)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - 10. Let d = 73 - 74. Let b be (7 - d)\/(-23 - -25). Solve v*f = 2*f + b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 10:56 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16 - 2786\/(-175))*10\/(-4). What is the second biggest value in 5, m, 26, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 + -193. Find the second derivative of 4 - 214*t - g*t - 11 - 47*t**4 + 435*t wrt t.\nAnswer: -564*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjw when three letters picked without replacement from ffwwfffvfjzwq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 105157651\nAnswer: 42063060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 11) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -21 - (1 + -3). Let o = -16 - m. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2152521 to the nearest 1000.\nAnswer: 2153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6221884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)\/(4*sqrt(4)\/sqrt(2)))**2*-4 + -1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 395104?\nAnswer: 8297184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - 1 + 0*g + 7*g)*(17 - 31 + 19) to the form s + t*g and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 320 + 5. Let n = 65 + h. Solve d = -x + 3, -n*x + 12 = 3*d + 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 7*u - 5*s - 96, 3*u + 4*s = 72. Suppose -j + 18 = 3. Calculate the remainder when ((-18)\/j)\/((-4)\/310) is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4 + 4. Suppose 2*h - 2*i + 4*i + 4 = 0, -a*h + 2*i = -10. Suppose 0*c = 3*c. Sort c, h, 2 in decreasing order.\nAnswer: 2, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-20))\/(2\/(-5)). Suppose 2*i = -5*p - 2*i - 5, 0 = -4*p - n*i - 3. Solve 4*a - p = 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from ixxiiwxwxwexwwxxw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7985 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (-9 - -47) + -37 + -2 + 1\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4168*d + 4165*d + 827*d**4 + 2*d**2 - 2 - 889*d**4 - 1442*d**4 - 2*d**3 as y*d**4 + r*d**2 + h*d + q*d**3 + n and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = g, -5*g + 50 = -2*d - 73. Calculate the remainder when g is divided by 1 + 18\/4 - 28\/(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, 6, -0.007, -0.0761?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41.942 - 42. Let w = 4.042 - b. Let m = w - 4. What is the nearest to -1 in -4, 4\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043353411 (base 6) to base 11.\nAnswer: 6464a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1652 and 23?\nAnswer: 37996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2, 26, -2\/19, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - 84321?\nAnswer: -84320.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 114*c - 417. Determine l(-60).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 2.06. Let t = 71248.5 - 71248. Put -7, 1\/5, m, t in decreasing order.\nAnswer: t, 1\/5, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1738177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 76 = 3*k, 5*k - 3*k + 56 = 3*a. Suppose -4*o - a = -0*o, -5*i = -o + 121. Let f = i - -103. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 476 and -0.09.\nAnswer: -42.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times 231784?\nAnswer: 34767.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*k - 56. Let i = 0 + 4. What is the remainder when i is divided by (-4)\/k - 38\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 9.75. Let h = o + 132.75. Let k = 136.0081 - h. What is k rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161562.\nAnswer: 2, 3, 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (11\/(-66))\/(8\/(-291)) and 131\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92, 562, 1388, 2654, 4444, 6842, 9932, 13798?\n\"Answer: 14*m**3 + 94*m**2 + 90*m - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w**2 + 8*w - 4. Let p(f) = f + 2. Let n(q) = d(q) + 4*p(q). Is n(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 10*o - 2. Let z = 108 - 103. Let y be l(z). Let a = -449 + 4945\/11. What is the closest to y in a, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 9*h - 3. Let j be m(6). Let i be 2 + -1 - j\/(-7). Which is the closest to 0? (a) 3 (b) -2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -751316 rounded to the nearest 1000?\nAnswer: -751000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-5 - -11)) + -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 340564 (base 9) in base 16?\nAnswer: 31c4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90653 and 9415?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362041 is divided by 140.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490892 is divided by 162929?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-29 - -15) - 17 - (4 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.719 - 0.119. What is the third biggest value in p, 5\/6, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z - 14*z + 2*z + 4*z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1056 (base 15) to base 3.\nAnswer: -11202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4239*a - 225960 - 2946 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*b = 151 - 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 43, 66, 87?\n\"Answer: -w**2 + 28*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 98 = 5*k, k = -6*w + 2*w + 34. Let g be 4\/(-30) - (-11)\/(330\/544). What is the highest common divisor of k and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 1. Let w(i) = i**2 - 7*i - 4. Let a(y) = -y. Let o(n) = 5*a(n) - w(n). Suppose -2 = k - 11. Suppose -6 = g - k. Give g*b(c) - o(c).\nAnswer: c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2192 + -453746\/207. Which is the third biggest value? (a) t (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 775252, 1550605, 2325958, 3101311?\n\"Answer: 775353*o - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(-78) + 480\/(-126)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*9 - 0 - ((-34)\/459 - (-53504)\/(-864))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 1. Let q(r) = r. Let s(i) = 3*a(i) - 4*q(i). Let o be s(3). Let u be o\/(0 + 1 + -3). Solve 1 = -y - u*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:18 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2998 - -3034. What is the remainder when 1538 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 11. Let m = -3 + -7. Let v be m\/(-18)*(-8)\/20. Which is the nearest to 1\/3? (a) -5 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 8*h + 3. Let o(c) = -15*c - 6. Let z(v) = 11*f(v) + 6*o(v). Let u(t) = -t. Let y(p) = -6*u(p) + z(p). What are the prime factors of y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/14 - (-34)\/(-52). What is the closest to -1 in t, 1\/6, 8, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 3:36 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*k - 231 = -51*k + 366. Let l(v) be the second derivative of 0 - 5\/3*v**k + 0*v**2 - 5\/12*v**4 - 13*v. Solve l(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 44465.247 microseconds?\nAnswer: 0.0000005146440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**13\/h*h\/h**(12\/5) assuming h is positive.\nAnswer: h**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 51440211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2890929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 7*s**5\/30 - 5*s**2. Let p(h) = -5*h - 4*h + 14*h - 7*h. Give x(p(b)).\nAnswer: 56*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 5*g**3 - 4*g**2)*(-12*g - 8*g + 4*g).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-91080)\/(-2208) + (132\/48 - 2*1)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuntuu. What is prob of sequence nut?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aknnassaaknh. What is prob of picking 1 k, 1 a, and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**3 - 14*t**3 - 14*t**3 - 10*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 3*sqrt(132))*-4*6)\/((sqrt(1452) + 2*sqrt(1452))*-6).\nAnswer: -8*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/(-152)*(-16)\/102?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v + 1. Suppose -215 = 10*q - 175. Let m = -5 + 3. Let s be m\/((16\/4)\/q). Give i(s).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 1. Let s(f) = -3*f**2 + 7*f - 7. Let m(t) = -9*t**2 + 22*t - 22. Let y(a) = -6*m(a) + 21*s(a). Give 15*b(w) - y(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803411 times 0.5?\nAnswer: 2401705.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002668 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121180 and 48472?\nAnswer: 242360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 15*h**2 + 37*h - 56. Give s(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-6) - (-2)\/3. Let h(d) = d**2 - 2. Let g be h(m). Find the third derivative of -4 - g*i**2 + 4 + 2*i**6 wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79, -113, -157, -217, -299, -409?\n\"Answer: -q**3 + q**2 - 30*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.034 + -5.366. Let t = y + 5.1. Let g = 187 + -186.94. What is the closest to g in 0.2, t, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 - -1212?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*k + 20, k + 4*q = -2*k - 2. Let s(h) = -k*h**2 + 1 - 1. Let v(d) = -77*d**2 - 78*d**2 + 156*d**2. What is v(s(i))?\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -de + a1?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 182911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80\/1027 - 6\/79. What is the nearest to 1\/5 in -5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 275?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022128756 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = t - 8*t. Put 2, t, -47 in increasing order.\nAnswer: -47, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 (base 10) in base 16?\nAnswer: -1d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2575 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/198540 and -143\/330900?\nAnswer: 992700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c + 66*c + 35*c - 1760 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232*z**4 - 369*z**2?\nAnswer: 5568*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26 + (-4)\/(-8)*-4. Let s = w + -13. Solve -5*n = s - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -870, -1741, -2612, -3483, -4354, -5225?\nAnswer: -6096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 92.2. Which is the closest to z? (a) 4 (b) -0.1 (c) 1\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 4*l**2 + 2*l**2)*(8 + 2 - 13)*((1 + 0 + 2)*(-2*l - 2*l + 2*l) - 3*l + 3*l - l + 3*l - l + 0*l)*(0*l - l + 3*l).\nAnswer: -90*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924, -912, -900, -888?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7745554215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 2*v**2 + v. Let w be m(1). Let f = w + 0. Let r(j) = 3*j - 1. Let d be r(1). Solve -5*q - 10 = 0, f*k = -4*k - d*q - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1900) + sqrt(1900)*2*-3 - sqrt(1900)) + -5*((sqrt(114)\/sqrt(6) - sqrt(19) - sqrt(19)) + sqrt(19))*-4*-3)**2.\nAnswer: 615600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*n = -13*n + 60, 3 = 2*j - n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:40 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j**2*x - 187*j**2 + j*x + j + 375*x + 1 wrt j.\nAnswer: -18*x - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2997, -5, 10, 5 in decreasing order.\nAnswer: 10, 5, -5, -2997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2\/151, -39, -4\/3, -2\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-13 - (5 + -6)) + 4 + 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 5. Let a be z(-5). Suppose 2*w - c = 4*c + 28, -5*c = 2*w - 28. Let m = a + w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + (-9 - (-13 - (-12 - -9)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*j + 198. Let l = 72 + j. What is the common denominator of -3*l\/(-6) - -2 and 9\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/6*9*(-1)\/(-4). Factor -24*w**3 + o*w**5 - 3*w**3 - 8422*w**4 + 8413*w**4 - 15*w**2.\nAnswer: 3*w**2*(w - 5)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/6)*w*w*w\/(w\/(w\/(w*w**(-6)*w))))\/((w*((w*(w*w**7*w)\/w)\/w)\/w*w*w)\/w**(6\/11))*((w\/w**0)\/w)**(-2\/19)*w**(-6\/5)\/w**2 assuming w is positive.\nAnswer: w**(-2141\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12222 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 17*o = 20*o - 15 - 18, -4*c + c = -7*o + 117 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 386267*u**5 - 6*u**4 + u**3 + 6142*u**2 - 1858 wrt u.\nAnswer: 23176020*u**2 - 144*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/(-30))\/(4\/18). Let l(y) = -2*y**3 - 3*y**2 - 3*y. Let o(j) = -9*j**3 - 13*j**2 - 13*j. Calculate s*o(k) - 26*l(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 125\/50*46\/5. Let s(m) = m**3 - 20*m**2 + 6*m - 66. What is the hundreds digit of s(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10*h**2 + 10*h - 7. Let p(w) = -28*w**2 + 31*w - 21. Let z(q) = 2*p(q) - 7*v(q). Let o = 14 - 9. Is z(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 53 (b) -2\/31 (c) 2\/9 (d) 0.035 (e) 8 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -302402043 (base 5) to base 11\nAnswer: -760582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1449636, -2899233, -4348828, -5798421, -7248012, -8697601?\n\"Answer: f**2 - 1449600*f - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 6. Give m(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20379 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*a*b + 5*a*i**2 + 38*a - 20*b*i**2 - 2*b*i wrt b.\nAnswer: -7*a - 20*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*l = -l + 34, -5*j = -4*l - 141. Let i = 27 - j. Solve 0*s + s = -i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(720)*-4) + ((sqrt(180)*-3)**2 - sqrt(180)).\nAnswer: 43*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-2)\/1) + 550. Suppose -2*b - 4*d = -102, -12*b + 36 = -11*b + 5*d. What is the greatest common factor of b and i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*x**3 - x**3 + 24*x**3)*(5*x - x - 2*x) + (-3 - x + 3)*(0*x**3 + 0*x**3 + x**3) to c*x**3 + p + z*x**2 + f*x + g*x**4 and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31502 and 1368.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11496 divided by 10.\nAnswer: 5748\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2117607 and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 0, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + a - 1, 0 = o - a + 2. Let s be (o\/2)\/(1\/6). List the prime factors of (8*2)\/(s - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -x*y**3 + 38936*x*y**2 - 43043*x wrt y?\nAnswer: -3*x*y**2 + 77872*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 7*f**2 + 11*f - 5. What are the prime factors of i(-9)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11 - 11 - j + 2*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9623363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 118 = -2*v - 2*v, 66 = -2*v + 2*h. Let q = v - -57. Let d = q - 19. Calculate the remainder when 10 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 2*c + 0*c + (-3 - 1 + 1)*(-3*c + 2*c + 0*c) - c + 0*c + 0*c + 5 + 11*c - 4 + 3*c.\nAnswer: 13*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1843 + -36849\/20. Find the common denominator of 5\/6 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0181291407 to five decimal places.\nAnswer: 0.01813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + 0 + 1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 19. Let i be m(-6). Let t be ((-215)\/i)\/((-2)\/(-4)). What is the second derivative of 5*j**5 + 0*j**5 + 430*j**4 + 2*j - t*j**4 wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -3 (b) -21 (c) 17 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -442\/763 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567875 is divided by 2642?\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 163, 161, 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (34 - -18) + -19 + -21\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 12 + 9)*(0*n - 4*n + 3*n + 9) to the form z + s*n and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3009.\nAnswer: 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 357, 815, 1445, 2241, 3197, 4307?\nAnswer: 5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2183, 5624, 11373, 19442, 29843, 42588, 57689?\nAnswer: 75158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3310 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s - 1. Let u(k) = k**2 + 2. Calculate -c(q) + u(q).\nAnswer: 2*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 330*m. Let x(v) = 1228*v. Calculate n(x(c)).\nAnswer: 3015968*c**2 + 405240*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 - 122*s**2\/5 + 123*s\/5.\nAnswer: -s*(s - 1)*(s + 123)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 7*s**3 + 136 + 94 - 363.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4867 + 9654 = -610*w + 1711 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2258, -2257, -2254, -2249, -2242, -2233?\n\"Answer: a**2 - 2*a - 2257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 + (3 - (7 + -2))) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.51 - -0.11. Let f = -1.3 - y. Let l = f - 2.4. Which is the second biggest value? (a) -2\/11 (b) -16 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 17.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 2:20 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 8, 20, 36, 56?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -472515 (base 10) to base 9\nAnswer: -800146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -41*n - 700 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**7\/2520 - m**6\/240 + m**5\/120 + 5*m**4\/2 + m**3\/6 - 48*m. Let g(h) be the third derivative of u(h). Determine g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 7. Let i(k) = -5*k**2 + j - 3 + 4*k**2 - 11*k. Let w be i(-11). Solve -2*a - 23 = 5*m, w*m = 2*a + 3*a + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720 is divided by 844.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-1)\/2*59*(-57829)\/57829\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27960916 rounded to the nearest one hundred thousand?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - 14\/35. Suppose 5*b = -a*b - 15, 5*b = 2*w - 19. Suppose -4*f + 100 = 7*h - 3*h, -h = w*f - 21. What is the common denominator of h and -91\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjnoe. Give prob of picking 1 j and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -997569, -997579, -997589, -997599?\nAnswer: -997609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i)**(44\/5)\/(i**(-1))**(1\/13) assuming i is positive.\nAnswer: i**(579\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)\/(c\/c**9)*(c\/c**(-7))\/c**(-4\/9) assuming c is positive.\nAnswer: c**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -57 and -3151\/55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-640)\/(-1040) - (-22275)\/(-33345).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95)\/(-26) + 434\/(-124). Let w = -3 + 2.8. What is the nearest to v in 5, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(102) - sqrt(102))*3 - sqrt(102)) + 5*(sqrt(102)*-1 - sqrt(102)))\/((sqrt(216) + 2*sqrt(216) - sqrt(216))*-5) + 4)*3 + -2.\nAnswer: 17*sqrt(17)\/20 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - f = 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 + -175. Calculate the lowest common multiple of p and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u*u*u*u**(-2\/27))\/u))*u*u*u\/(u\/(u*(u*u\/u**2)\/u)*u))\/(u**3\/(u*u**(-3\/5))))**(-1\/13) assuming u is positive.\nAnswer: u**(-44\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1730 (base 11) to base 9\nAnswer: 3026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*w - 12, -45 = -5*g + 2*w - 17. Let n(i) = 1 + 4*i**2 - 3 - 2*i**2 - 2*i. What is the units digit of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6*(2 + 88\/(-38)). Let v = 4 + -5. What is the closest to v in -3, -1\/5, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 81 + 1de91?\nAnswer: 1df12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h + 79 = -236. Is 12 a factor of 2*h\/14 + 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = t + j - 5, t - 4 = 2*j. Suppose 0 = -3*x + 3*w, 0 = -4*x + t*w - 3 + 5. Let m = 31 - x. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373537?\nAnswer: 107, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 4*r**4 + 0*r**4)*(-2*r + 2*r + r) - 2*r**5 - 2*r**5 + r**5 - r**2 + r**2 - r**5 + (-2*r**4 + r - r)*(-6 + 4*r + 6).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.19 - 0.91. Round a to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 184*o - 7797. Determine l(109).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 16257.\nAnswer: 1\/16257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/(-3*(-2)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/4200 + 47*i**6\/1800 - 2*i**5\/25 + 40*i**3 - 15*i**2 - 1. Let a(p) be the first derivative of x(p). Factor a(h).\nAnswer: h*(h - 1)*(h + 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + 8 + (-24)\/(-2). Let i(f) = 0*f - 6*f**2 - 1 + 2*f + 4*f + s*f**2 - f**3. What is i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/20)\/(120\/75)*-40. Solve 5*h + 0*h = -a for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -821*a**3\/2 - 2625*a**2\/2 - 2*a + 165. Differentiate q(c) wrt c.\nAnswer: -2463","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 1, o: 2, d: 2, c: 1, j: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 2}. Give prob of sequence eae.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**3*s*s*s**(-1)*s**(-2)*s**1*(s\/(s\/s**(-4\/7)*s)*s**(-1\/5)*s)**(1\/13) assuming s is positive.\nAnswer: s**(-937\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 9*r**2 + 12*r + 8. Determine k(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzhziqhppmihph. Give prob of sequence ii.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.29? (a) 3\/2 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42204912*u**2 + 222232869*u wrt u?\nAnswer: -84409824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 - j**2 + 4*j + 4. Suppose 0 = 10*m - 12*m + 6. Let q(t) = -6*t**3 - 3*t - 3. Determine m*b(r) + 4*q(r).\nAnswer: -3*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.5159 rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50 and 0.8802224055?\nAnswer: 50.8802224055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8613 + 32430. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 131. Suppose 2*z = -v + 825, x = -4*v - 5*z - 35 + 3338. Is 62 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4009*a + 20. Let c(k) = 875966*k + 4368. Give 5*c(y) - 1092*r(y).\nAnswer: 2002*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**3 + 2*z**2 - 4*z + 2. What is j(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392105792005 - 371.\nAnswer: 392105791634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -14, 2\/45, -4?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603868.2ml to litres.\nAnswer: 603.8682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 - 231*w**2 + 1770*w + 492. Determine c(-84).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*u**3 + 11*u + 0*u**2 - 11*u + 0*u**2.\nAnswer: -203*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {g: 1, o: 1, a: 1, c: 2, m: 1, i: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-84)*(-35)\/(-30))\/(2\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8336\/95 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30246768 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/160 + 25*w**4\/64 + 9*w**3 + 342*w**2. Factor v(k).\nAnswer: 3*(k + 9)*(k + 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, f: 11}. What is prob of sequence ffaf?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 45 + 5*t**3 - 46 + 91 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3003 and -2\/39.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or 297690.2?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 = -4*i + i - 27. What is the least common multiple of i and 505?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 87*p**2 + 438*p - 528.\nAnswer: 3*(p - 1)*(p + 8)*(p + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -28. Let s = -17 + f. Suppose -z = s, -1175 = 2*t + 5*z - 360. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -100.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/5 + 11038*g**3\/5 + 13317114*g**2\/5 - 1086480990*g + 5419076796\/5 = 0 for g.\nAnswer: -2919, 1, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 0 - (5 + -4). Let u(q) = 2*q**2 - l*q**2 + q**2. Let j(y) = -y - y + 0*y. Determine j(u(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 459*a**2 + 20*a*c**2 + 143*a*d - 15*c**2*d + 101519*c*d wrt a?\nAnswer: 918*a + 20*c**2 + 143*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(-5 + 6 + 12)*(-14*m**4 - 8*m**3 + 8*m**3 - m**4 + 4*m**4 - 2*m**4 + (2*m**3 - 4*m**3 + 3*m**3)*(-2*m - 1 + 1)).\nAnswer: 585*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -93*m + 95. Let j(t) = -47*t + 37. Give 5*j(r) - 2*p(r).\nAnswer: -49*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -278689.\nAnswer: -4\/278689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 22, 1, -3, 4 in decreasing order.\nAnswer: 22, 4, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 190620 divided by 5295?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -10*z + 6. Suppose -5*d + z = 2*t - 4, 3*t = 0. Let n(g) = 72*g**3. List the prime factors of n(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**4 + l**3 + l - 1. Let i(t) = 2*t**4 - 3*t**3 - 3*t + 2. Let a(b) = -i(b) - 3*n(b). Differentiate a(w) with respect to w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353015775?\nAnswer: 3, 5, 7, 53, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 15 - 22 + 16)*(8*u - 10 + 10).\nAnswer: -320*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 2*w + 19. Let n(y) = 2*y**2 - 2*y + 18. Determine 4*c(m) - 5*n(m).\nAnswer: -2*m**2 + 2*m - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/6 + 4)\/(-7 - -5). Factor v*x**2 + 0 - 1\/4*x.\nAnswer: x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 30. Let h(x) = -x**2 - 21*x + 2. Let c be h(-21). Suppose c*t = 5*q - 54563 - 2939, 3*q - s*t - 34504 = 0. Round q to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/14*-6)\/(((-32)\/7)\/16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2212\/(-728))\/79*520\/(-16)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 7*c - 2*c - c**2 - 3. Let q be g(3). Suppose 0 = 3*a + l - 40, -2*a + 5*l = -q*a - 38. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6546, -13125, -19684, -26223?\n\"Answer: 10*n**2 - 6609*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61 and 469694?\nAnswer: 28651334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-286 - 16*o + 286)*(4*o + 0*o - 2*o + (o - o + 2*o)*(2 + 0 - 4)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.101464 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q - 22 + 22)*(0*q - 3*q + 0*q)*(12*q**2 - q**2 - 3*q**2)*(5 - 4 - 2)*(2*q + 0*q - q).\nAnswer: -384*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 2*y - 1. What is the units digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + 62. Let i = -46 + d. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-1340)\/3482)*(-15)\/(-72). Let m = 215\/67 + x. Find the common denominator of -11\/24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and -9\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 1, v: 1, l: 3, y: 3}. What is prob of picking 1 l and 1 y?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2222 + 4450 = 313*s - 9826 - 717 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8263 from 827.5132.\nAnswer: 9090.5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8588 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 1. What is the remainder when 7 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + o**2 + o**3)*(3 + 3 - 2) + o**2 - o**2 - 6*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 10:43 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87656521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.3 times -0.010292?\nAnswer: 0.2603876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 = 0, -437 = -2*d - 4*g + 1429. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1, -51.\nAnswer: -51, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 704 - 717 - (0 + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3957 - -5497. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*s - 46, r - 2*s = -53 + 70. Suppose -3*d = -d - 2*w - 40, 2*d - 4*w - 38 = 0. What is the highest common factor of d and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*a = 27, 487*m - 485*m - 3*a = -9 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*c - 131, c - g - g = 47. Solve -p - c + 42 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-14))\/(92\/(198352\/110))*2\/35\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + t - 9 = 3*t, 2*w = 2*t + 4. Let j be 2 - (w\/(-10))\/(3\/6). Solve 24 = 4*z + o + j*o, 0 = 5*z - o - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2126945.9776 rounded to the nearest 100?\nAnswer: -2126900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -224, -226, -230, -236, -244?\n\"Answer: -i**2 + i - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -22, -131, -316, -589, -962, -1447?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3979513.914 rounded to the nearest one hundred?\nAnswer: 3979500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 0 + 2 - 4 - 9*k + 6*k - 7*k + (2*k + 0 + 0)*(0 - 1 + 2) + 5*k - 4*k + k.\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -303*k*p*y**2 - 28*p*y**2 + 4*p*y - 2*y wrt k?\nAnswer: -303*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2\/7, 1, 18, -1\/4, -129?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12868 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3635\/2, -24.6, 4 in increasing order.\nAnswer: -3635\/2, -24.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 3, v: 1, q: 2}. Give prob of sequence vq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 384098335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7115 + 7119. Let f(r) = 2*r**2 + r - 1. Calculate f(n).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2147 - 1862. What is the highest common divisor of k and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 5*s**2 + 2*s + 21. Let o be j(6). Let k(v) = 5*v**2 + 8*v - 2. Let z be k(o). What is z rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -99. Let q = 7 - -15. Let h(j) = j + 1. Let z(a) = 5*a + 5. Calculate q*h(l) + w*z(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413.6126 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071784134 to 5 decimal places.\nAnswer: -0.00718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 9 - 11 - 82*m - 185*m + 22.\nAnswer: -267*m + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 517 + 233. Suppose 3*w + 2*w - 118 = 3*a, -3*a = -12. What is the remainder when t is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(931)*1 + sqrt(931)) + 5 - (-5 + (sqrt(19) - 2*sqrt(1216)) + sqrt(19) + 4))**2.\nAnswer: -168*sqrt(19) + 3760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*z - 2984715 = 2595405. What is z rounded to the nearest one thousand?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31903194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m + 1 - 17*m + 0. Suppose -6*s - 2 = 4. What are the prime factors of a(s)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 8 + 3. Suppose 4*c + h - 1 = 0, -3*x + 2*c = -5. Is x >= 2\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, 1 y, and 1 j when four letters picked without replacement from {x: 3, y: 3, j: 1, q: 5, o: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-22)*(-1242)\/5589?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46559131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - 26*z + 40. Calculate n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 62220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**2*m*s**6 + 16*a**2*m*s**4 - 3*a**2*m*s + 20*s**2 wrt s?\nAnswer: 360*a**2*m*s**3 + 384*a**2*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -90. Let f = y + -40. Suppose r - 242 = -2*r - l, -250 = -f*r - 5*l. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 5*z + 3. Let y be q(-3). What is the units digit of 2\/1*y\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*1*-6)\/sqrt(11).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 37 - (40 + -99)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1947 = 458*q - 331 + 446 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5556 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41626, -43738, -45838, -47920, -49978?\nAnswer: -52006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y**2 - y + 3. Let s be o(2). Suppose 0 = -a - 3*v + s, -a + 4*v + 42 = 2*v. Suppose -a = -c + 23. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18752650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -c, -5*f - 9 - 16 = -4*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -944*t**5 + 9645*t**4 - 3*t**3 + 965*t**2 + 18022*t + 3 wrt t.\nAnswer: -56640*t**2 + 231480*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2. Let d(x) = 582*x. Determine b(d(c)).\nAnswer: 677448*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by ((-36)\/14)\/(59\/(-826))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -338, -472, -824, -1502, -2614, -4268, -6572?\n\"Answer: -18*k**3 - k**2 - 5*k - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-13) + (-24)\/(-1170). Let f be ((-2)\/24)\/((-6)\/16). Which is the closest to -1? (a) -2\/13 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 695 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c. Suppose -5*h + 1 = 6, 0 = -4*g - 3*h + 197. Let j(a) = 50 - g - 3*a. Determine s(j(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11416369, 11416372, 11416377, 11416384?\nAnswer: 11416393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15650 by 12.\nAnswer: 7825\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 31 - ((-1)\/(-1) - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12197 - -12196. Which is the nearest to 26? (a) 0.5 (b) -28 (c) u (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 7. Solve x = -2*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 69. Let k be t(0). Suppose 0 = 3*q - 1 - 5. Let h(i) = -k + 69 - i**2 + q*i**2. Let s(r) = 8*r**2. What is s(h(n))?\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 2 z when four letters picked without replacement from {g: 1, c: 4, m: 2, z: 2, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 4*l**2 + 5*l + 2. Let j(y) = -y**2 + 5*y - 18. Let h be j(5). Let t be (-11 - -2)\/((-1)\/2). Let w be t\/(-81) - 94\/h. What is n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffjfjfifjfjjfiff. What is prob of sequence jji?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -o + 47715 - 47726, -11*t - 4*o = 35 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + b?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:29 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 5*z - 60 - 65, 5*z = -3*s - 66 + 181 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 69?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854393145.\nAnswer: 3, 5, 61, 281, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -20, -t + 2*s - 7*s - 30 = 0. Let g = -2\/43 - -100\/301. Which is the closest to g? (a) 4\/5 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.653 + -12.412. Round c to 1 decimal place.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 179*p = p - 812 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/8)\/((-2)\/(-8)). Let n = 8 + k. Let h = 6450.2 - 6450. Which is the smallest value? (a) -1\/3 (b) h (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (3 - 0) + (-49 - (-57151)\/871).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0 - 12. Let i(y) = -y**3 - 8*y**2 + y + 3. Let q be i(-8). What is the smallest common multiple of g and (-41)\/q + (-12)\/60?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*j - j + a, -232*j = -109*j - 125*j - 4*a - 88 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*(-4)\/(-3). Suppose -i = x - 0. Let h = -6 + 5.6. Which is the second smallest value? (a) h (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5017752.\nAnswer: 2, 3, 69691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 936587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2826622 by -68942.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 787 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**2*h**(2\/5)*h*h*h*(h\/(h\/(h**(-2\/3)\/h))*h*h)\/h*h*h assuming h is positive.\nAnswer: h**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 = -5*x - 66, -3*c - 5*x + 97 = 0. Suppose -c*l - 1985 = -9977. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 408 and (14 + -16)*-15 + -1*3.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.02141 (b) -7 (c) 42 (d) 3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364606 (base 10) to base 3.\nAnswer: 200112010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41655, -41602, -41547, -41490, -41431, -41370?\n\"Answer: r**2 + 50*r - 41706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -5 (c) 688\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-4 - 3*h + 4)*(-167046*h + 304*h**3 + 167046*h).\nAnswer: 912*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -2*c - 14*c - 333 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -5\/3 (c) -3 (d) 179 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, e: 2, g: 2, o: 1, c: 2}. What is prob of picking 2 c and 1 o?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0264739m?\nAnswer: 2.64739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 112.3. Round n to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 less than -9?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6221 divided by 6\nAnswer: 6221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1329 + 1339. Solve 5*j - u = t, 5*j - t - 25 = -3*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560655 (base 7) in base 11?\nAnswer: 208aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 4, -0.3 in increasing order.\nAnswer: -0.3, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 1 + 13 = -4*p + i, 7*i + 28 = -7*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 357377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 7:51 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.598102525 rounded to 1 decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13016091 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1187*d + 299122. Give w(252).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 >= 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 59*i - 78. Let c(y) = -122*y + 158. Determine 5*c(j) + 11*v(j).\nAnswer: 39*j - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 34*h**2 - 32939*h + 20*h**2 + 32939*h + 15*h**2.\nAnswer: h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 + (-268 - (-142 + 30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-50))\/(-11)*(-60)\/(-8)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 19*x - 71920 = 0. Suppose 22*m = 23*m + x. What is m rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-6))\/(-4))\/(8\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 3 + 2*t**5 + 45 + (-2*t**2 - 3*t**2 + 3*t**2)*(5*t**3 - 5*t**3 - 3*t**3).\nAnswer: 8*t**5 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/17)*a*a)\/a*(a*a\/a**27)\/a assuming a is positive.\nAnswer: a**(-411\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.5, 0.05, -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 161 times -5\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1139 + -1146. What is the smallest value in 0.5, 3, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 171\/(-36) - 5\/20. Suppose -4*l = -l. Sort -1, l, b, 2.\nAnswer: b, -1, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzrrzzzzzzzzzrz. Give prob of sequence rzzr.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v, 1 - 15 = -2*h + v. Let f(b) = -b**3 - b + 1. Let k(t) be the second derivative of 7*t**5\/20 + t**3 - 7*t**2\/2 - 6*t. Calculate h*f(j) + k(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0451 * -4.2\nAnswer: -0.18942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -715, -5, -3, 2, 1, 0 in increasing order.\nAnswer: -715, -5, -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1461 + -464. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2253236\/165 - 13656. Is 1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 5*d + 14. Determine l(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 767 - 767.5. What is the third biggest value in 1\/3, h, -970\/7, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:09 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/7)*t)**(16\/5)*(t*t\/t**(-1))\/(t\/t**(-4\/7))*(t**(-3\/8)*t**(-1\/4))**(1\/4) assuming t is positive.\nAnswer: t**(7569\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 2*j - 1. Let b be d(2). Let s = -6 - b. Suppose 180 = s*p + 2*p. What is the greatest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.12 (b) -1\/5 (c) -0.5 (d) 1\/2 (e) 0.1 (f) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2 + 76*p - 37. What is the remainder when n(12) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33)\/(-4))\/11*(9000 + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**3 + 2*l**2. Let v(h) = 19*h**3 - h**2 - 5*h - 20. Let m(d) = -29*d**3 + 2*d**2 + 8*d + 32. Let y(q) = 5*m(q) + 8*v(q). What is 5*b(f) - 6*y(f)?\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018538866 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, 3 in decreasing order.\nAnswer: 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -2)\/((-5)\/(10 + -5)). Solve 0 = c*p - 0 - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.08, 808, -2, 15 in descending order.\nAnswer: 808, 15, 0.08, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*m - 3 = 5, 0 = -a - 4*m - 5. Let c = 8 - 10. Is c < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 21*i - 74. Give m(-7).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22624467947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 1, k: 2, z: 4, u: 2, v: 3}. Give prob of picking 1 v, 2 k, and 1 u.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689249641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -368, -548, -716, -866, -992?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, e: 2, h: 5, i: 4, z: 2}. Give prob of sequence zaea.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1612 and 57040.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6110 and 6530?\nAnswer: 3989830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4555373*n**2 + 19077173*n wrt n?\nAnswer: -9110746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286 + -256. What is the greatest common divisor of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -78.1. Let l = -8 + b. What is the third biggest value in 0.3, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 + 20*v + 65. Let k be j(-6). Let b = k - 282. What is the remainder when b is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*k + 33 + 25, 0 = -5*j - 3*k + 222. Suppose -2*s**5 + 16*s**4 - 14*s**3 + j*s - 26*s**3 - 36 + 33*s**2 - 13*s**2 = 0. What is s?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -1) + 0 + 131 + -140 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1663\/1021 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4298147, 0.4, 29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1456 - -1456.5. Suppose 0 = -f - 6*f + 42. Which is the closest to -3? (a) -2 (b) -4\/9 (c) f (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)*c)\/(c*c**(-21)))\/(c**(7\/2)*c\/c**(-7\/4)) assuming c is positive.\nAnswer: c**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225.0289 + 0.0289. Let h = -224.999208 - z. What is h rounded to five dps?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.858\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 4. Let q be j(17). Let m be 202\/10 - (-17)\/(-85). Solve 7 = m*h - q*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 1. Let m(p) = -p**3 + 10*p**2 - 11*p - 10. Let g be m(j). Let l = -41 + g. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z - 4. Let x(g) = -14*g - 9. Let w(a) = 13*k(a) - 6*x(a). Let f = -4 - -10. Let v(b) = -b - 2 + 3*b + f*b. Give -6*v(d) - 7*w(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:51 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -42c?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*b. Suppose x - b*x = -8. Find the third derivative of x*j**2 + j**6 - 4*j**2 - j**2 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - b**3 + b + 23*b**3 - 4*b**4 + 3*b**3 to the form c*b**3 + z*b + h + v*b**2 + i*b**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 11 = -2*n, -8*b + 6*b - 18 = 4*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmbmmbmmmbmmm. Give prob of picking 1 m and 2 b.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2 + 2)*(-4 + 3 + 0)*(1 + 1 + 0)*(-52826*v + 7639*v - 26492 + 26492).\nAnswer: 90374*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 130*d**2 - 241308*d + 725040.\nAnswer: 2*(d - 380)*(d - 3)*(d + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2994318 and 0.027?\nAnswer: 80846.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g**2 - 5*g - 5. Let z(a) = -a**3 - 6*a**2 + 2*a + 2. Let x(b) = -b**3 - b**2 - b - 1. Let j(n) = -2*x(n) + z(n). Calculate 5*j(c) + 4*y(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 - (-7)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212386 - 183345*g + 212386.\nAnswer: -183345*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0.4 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a**3 - 4*a**3 + 2*a**3 - 2*a**2 + a. Let j be n(1). What is the third derivative of j - 8 + r**4 - r**2 wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -684*a**3 - 5*a**2 + 839*a + 63. Let p(n) = -685*n**3 - 6*n**2 + 838*n + 76. Let v(r) = 5*p(r) - 6*z(r). Find the second derivative of v(b) wrt b.\nAnswer: 4074*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194*h**2 - 37*h**2 - 152 + 152)*(4*h**3 + 6*h**3 - 13*h**3).\nAnswer: -471*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 + 0.28. What is the smallest value in -5, g, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 64.4. Sort 0, -2, j, 3 in descending order.\nAnswer: 3, j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:56 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -8*i - 2. Let q(k) = 170*k - 1 + 170*k - 341*k. Let t be q(-4). Sort i, t, 1 in increasing order.\nAnswer: 1, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5965 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11396 is divided by 285.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 191*n. Let b(t) = -131870*t. What is b(l(y))?\nAnswer: -25187170*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31085469271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107559?\nAnswer: 3, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3)\/3))\/(3\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 736954120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 38.32. Let r = p - -2.7. Let t = -0.02 + r. What is the nearest to t in -5, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 133 = 37. Suppose 0 = 44*p - 36*p - 16. What is the second derivative of 3*j**p + x*j - 34*j - 11*j**2 wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u - 4*h, -4*u + 11 = 4*h - 5. Calculate the greatest common factor of 4 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 2807.\nAnswer: -280.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -78?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104.96 and -0.0707?\nAnswer: 7.420672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 10 = 2*g, -g - 4*i = 3 + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-1)\/12*-4*18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2481*j**2 + 39716*j + 312. Calculate i(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 3:20 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, -23, -27, -13, 25, 93, 197, 343?\n\"Answer: h**3 - 23*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120322320303 (base 4) in base 7?\nAnswer: 106345440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 21*i - 44. Let s = -177 - -294. What is the remainder when s is divided by d(17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0 + b + 3 - 3 + (2*b + 2*b - b)*(-4 + 2 + 0))*(3*b**2 + 0*b**2 - 2*b**2).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/(-10) + -8 + (-2)\/5. Sort -2\/7, -0.3, g in decreasing order.\nAnswer: g, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/11 + 6*o**3\/11 - 15*o**2\/11 - 152*o\/11 - 240\/11 = 0. Calculate o.\nAnswer: -4, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1580 + 1580. Solve 7*p - 3*p + 20 = g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-705)\/188*24\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -145991*j**4 - 516*j**3 - 268324505*j**2 wrt j?\nAnswer: -3503784*j - 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 0. Suppose 20*f = 19*f + 8. Suppose -8 + 0 = -f*d. Solve -q + 3*t = d, 5*t + 3 - 8 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 7. Determine x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -11)*(-480)\/(-128). Calculate the highest common factor of z and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-2)\/(-2))\/((-3899)\/(-1114)). Which is the closest to 0? (a) l (b) 3.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 4 + -1)*(5 - 4). Sort -3, g, -4 in ascending order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3337, 10497, 22455, 39229, 60837?\n\"Answer: 3*y**3 + 2381*y**2 - 4*y + 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*u**5 + 272*u**3*y - 2*u*y - 19*u - y - 242 wrt u.\nAnswer: 1400*u**3 + 1632*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 78*l**2 - 529*l - 153. Determine j(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -3206?\nAnswer: 160.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 7*p - 5. Let z be t(6). Let v be -1 + -3 + z + -2. Sort -3, -2, v in ascending order.\nAnswer: v, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 36*l + 4. Let k be o(18). Suppose k*n - 522 = v, -2*n + 5*v = n - 400. Suppose 3*j = j + n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - -2) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = 5*k, -5*m = -3*k + 1 - 3. Let j be 1\/3*k*9. Suppose 4*r = -0*c + 3*c + 8, 2*r + 2 = 3*c. Solve -15 = c*g + j*d, -3*g + 5*d + 33 = 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310326 (base 8) to base 4.\nAnswer: 121003112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**2 + p - 3. Let t(l) = -3*l**2 - 1. Let w(o) = 2*o**3 - 4*o**2 + 5. Let a be w(3). Let v = -21 + a. Give v*u(m) - 5*t(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2741397, 2741388, 2741371, 2741340, 2741289, 2741212?\nAnswer: 2741103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -63*o**2 + 22*o. Let n(g) = -12*g**2 + 4*g. Let r(q) = -33*n(q) + 6*x(q). Let b(p) = -23*p**2. Determine r(b(d)).\nAnswer: 9522*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -16\/153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pmmp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4897.29242 to the nearest integer.\nAnswer: 4897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (10869\/(-75) - 8\/100). Calculate the highest common divisor of 2175 and g.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -21. Let v(g) = -6*g + 13. Let w(i) = -3*i + 6. Let j(l) = o*v(l) + 7*w(l). What is the tens digit of j(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*s + 770*s - 123 = 141*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3574 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010185 - 1010185 - 13*t**2.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47390 and 4169?\nAnswer: 197568910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*t**2 + 3 - 62*t**2 - 3.\nAnswer: -125*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 + -12.7. Let g = -0.004 + 22.004. Let b = -22 + g. Is b smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 192 = -3*v. Calculate the highest common factor of v and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*k - 13 = -55, -3*j = 5*k + 103. Let q be ((-4 - 3) + 9)*j\/(-4). Let a(v) = -2*v - 25. Let r(h) = h + 12. Give q*r(c) + 6*a(c).\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/64*71936\/11240.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4505, -13, 90 in ascending order.\nAnswer: -4505, -13, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 + -4.1. Let s = -0.008 + -5.592. Let p = s + i. What is the nearest to 1 in 2, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12114, -12057, -11984, -11889, -11766, -11609, -11412, -11169?\n\"Answer: b**3 + 2*b**2 + 44*b - 12161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxkxxxkkxxxxxmmuxxse. What is prob of sequence xu?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose -h*q + 4 = -2*j, 4*j - 16 = -4*q - 0*j. Solve -2*t = -r - 3*t + q, 0 = r + 4*t - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 9*w + 5. Let g be (12\/(-8))\/((-2)\/8). Determine p(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (1 + sqrt(252))) + 2 - (-2 + 1*sqrt(252)) - -1*-2*(0 + sqrt(252))*-2) + 5)**2.\nAnswer: 288*sqrt(7) + 2332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 1, e: 4, c: 2, q: 1, g: 2}. Give prob of sequence cce.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i - 36*i = 40. Solve i*r = 10 - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 104 = -4*r + r, -3*l - 105 = -3*r. Let t(q) = 12 + q**2 + 33*q - 14 - r*q. Determine t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14960*f - 29920*f + 14960*f - 6*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) + (-1390)\/4. Suppose -251 = -2*u - 77. Let y = l + u. Round y to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/2 (c) -0.2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(2) - sqrt(4)\/sqrt(98) - (sqrt(4)\/sqrt(2) + 1))*6.\nAnswer: -3 - 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3301652 + 1?\nAnswer: 3301653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52486*l - 4 + 6 - 2.\nAnswer: 52486*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 557674?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212670 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4 + 438478*k**3 + 3507720*k**2 + 5261544*k = 0?\nAnswer: -219231, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 105 + (-5 - (1 - 4)) + (-774 - -770)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*m**4 - 524132*m**2 + 100408099 wrt m.\nAnswer: -288*m**3 - 1048264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 208\/(-364)*2009\/(-2). Let w = -569 + o. Solve -x - 12 = -w*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((252\/(-1485))\/(-14))\/((-37)\/(14985\/(-54))).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 1.2. Let x(h) = h**2 - 29*h + 194. Let u be x(12). Which is the smallest value? (a) q (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572189.\nAnswer: 71, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**28*s*s**(-7) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14935*i**2 + 2*i + 12234 wrt i?\nAnswer: -29870*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*u + 2*c, -u - 2*c = 4*u - 75. Let z = u - -31. Calculate the remainder when z is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 6 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4426*f + 4*n - 320 = 4344*f, 3*n - 2 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5131562 is divided by 7515?\nAnswer: 6332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 21*l**2 - 220*l - 605. Determine g(-16).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -24*t**2 + t - 38. Let d be b(-5). Let f = d - -645. Factor 8\/5*s - 2\/5*s**f - 6\/5.\nAnswer: -2*(s - 3)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*x = 250, 3*h = -h - 5*x + 497. Let c be ((-560)\/15 + 0)*(-3 - 0). What is the greatest common factor of h and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 1539215109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -n - 4*b, 3*b - 20 = 5*n - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18013072 and 90065360?\nAnswer: 90065360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -505*t**4 - 50*t**3 + 397628*t**2?\nAnswer: -12120*t - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 60 = -3*d, 3*d + 3*a = -7 + 79. Calculate the highest common factor of 273 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*x - 65, 0 = 3*o - x - 85 + 14. Let q = -33 + o. Does 14 divide q\/2*(-5)\/((-30)\/(-84))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201731199 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 4. What is f(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c + 24. Let b(s) = 12*s - 40. Let v(u) = 5*a(u) + 3*b(u). Let z(j) = 20*j + 10. Let t(o) = 7*o + 3. Let m(g) = -10*t(g) + 3*z(g). What is m(v(d))?\nAnswer: -60*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5937.3807 rounded to the nearest ten?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ana. What is prob of sequence na?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-3 + 8)) + 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzuzccncznczuzud. What is prob of sequence nnz?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1166100\/(-20111) + 67 + -9*(-1)\/(-1).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5076779 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 18 = 3*n - 2*o, -2*o = n - 3. Let t be 1\/(-7) + (-34)\/n. Let u be -2*(t\/(-5) - -1). Which is the second smallest value? (a) u (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z + 4 + 6*z + 24*z + 22*z - 35*z. Calculate s(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -1\/2, 68.\nAnswer: -1\/2, 68, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-590)\/(-5250) + 1628\/(-10175)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29944\/11 - -2722. Which is the second biggest value? (a) 3\/7 (b) 0.107 (c) i (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1086079035 to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -3 - 7\/(7\/(-744)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.9987697 hours?\nAnswer: 0.1249487375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/105 of a week in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1341396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148924738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*f = 0, -2*i = 2*f + 2 - 6. Suppose -i*d + 30 = -30. 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 h(z) = z**2 + 229*z + 8121. Determine h(-44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27795 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -23 + 48. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30454251 - 17?\nAnswer: 30454233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -142, -135, -128, -121?\n\"Answer: 7*u - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273032, -548451, -823870, -1099289?\nAnswer: -1374708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423300 by -102.\nAnswer: 4150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 404.03 + -406. Let t = 2 + q. Let i = -3.97 - t. Is 0 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from gggghfrfgrrfgzr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**2 + 5627*l + 87799. What is p(-15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392 and 48?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24266 - 3*u + 12113 + 12153 + 6*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, -46216717 in decreasing order.\nAnswer: 1, 0.5, -46216717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**4\/4 + t**3\/3 - 3*t + 3. Let r(v) be the first derivative of a(v). What is the second derivative of r(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5)\/c)\/c*c\/(c**2*c*c)*c**(-1\/5)\/c**(-2))\/(c*c**(2\/7)*c\/c**(-3)*(c\/(c*c**(-4\/7)*c*c))\/c**(-1\/3)) assuming c is positive.\nAnswer: c**(-1301\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, d: 1, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 21864.75 centuries?\nAnswer: 2186.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*x - 10 - 32, x + 5*s = 5. Calculate the remainder when 0 - -1 - x\/1 is divided by (-4)\/7 - (-2301)\/413.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*-289.7\nAnswer: -19120.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 48 from -0.6043231.\nAnswer: -48.6043231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3717, -4376, -5773, -8154, -11765, -16852, -23661, -32438?\nAnswer: -43429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 5)*(3 - 3 + 2) - 2 + 3 + 3 + (-2 + 2 + 2)*(1 - 4 + 7))*(-2*h - 4*h + 5*h + (0 - 3 + 2)*(h + 0*h + h) + 7 - 2*h - 7) as j*h + r and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3546?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 3*z**2 + 3*z**2 + 5*z.\nAnswer: 2*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -9. Let m = c + 34. Suppose -14 = -3*v + m. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -630 + 110. Let i = 104 - r. Solve i = -2*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.39 + -0.4. Let k = q - -0.04. Let y = k - -1.97. What is the second biggest value in y, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 15 = -g. Let f = g + 9. Suppose 4*n + 48 = s + f*s, -4*s - 3*n = -57. What is the remainder when 46 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 19*p**2 - 4*p + 9. Let h be b(10). Suppose 65 = 3*g + d, -3*d + h = -0*g + 3*g. What is the greatest common divisor of g and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.024990053 to one dp.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -242 and 3.6.\nAnswer: -871.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 362*u - 239*u + 13 - 12 + 303*u to d + b*u and give b.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7909210.9469 take away -2026?\nAnswer: -7907184.9469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q - 3*q)*(18 - 646*q**2 - 18 - 566*q**2) to the form c + h*q + f*q**3 + m*q**2 and give f.\nAnswer: 2424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1934, -2, 3 in ascending order.\nAnswer: -2, 3, 1934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.8778 millennia in years?\nAnswer: 142877.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62863363 and -2?\nAnswer: 125726726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147219684*f**3*r + 957362*f**3 + 5*f - 2 with respect to r.\nAnswer: -147219684*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - f**3 + 3*f**3)*(-4 - 1 - 1) - 623*f**3 + 1073*f**3 + 2846*f**3.\nAnswer: 3284*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + n**2 - n - 1. Let d(h) = -2*h**3 - 3*h**2 + h + 1. What is c(o) + d(o)?\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.50798 rounded to 2 decimal places?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 0*f**2 + 0*f + 5 + 5*f**4 + 5\/6*f**6 + 4*f**5 + 0*f**3. Let q(b) = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 41598?\nAnswer: 291186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 8*k + 9 = 0, -2*z + 4*k + 69 - 75 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/777 and (15\/12)\/(140\/32) - (-17)\/(-14).\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 289 - 284. Solve z*p - 763 = -758 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 9) to base 11.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1725*s + 9124. What is the hundreds digit of f(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -35 (b) -1\/3 (c) -0.4 (d) 3 (e) -150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 316*p + 6310. Determine o(-16).\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-4)*148\/18. Let z = -25 + a. Let p = -67\/259 + -1\/37. What is the second smallest value in z, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 22 - (-98)\/(-11)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, q: 2, t: 2}. Give prob of picking 2 t and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3805385*y**3 + 1902675*y**3 + 2*y**2 + 1902669*y**3 - y**2 - y**2.\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/667744 and 79\/106232.\nAnswer: 4674208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 6. Let b be z(6). Let y = 164 + -160. Solve 3*k + 10 = g - 3*g, -5*g - y*k - 11 = b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.133 and 276?\nAnswer: 275.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 l = -13526 + 13883. Solve l = 7*c + 413 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -87. Suppose -19 = 2*x - s, -2*s = -2*x - 0*s - 24. Let w = b - x. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z - 3*z + (3 - 2 - 3)*(-z - z + 3*z) + 2 + z - 2)*(-4 - 12 + 1)*(22*z + 1 - 1).\nAnswer: 660*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -208, -303, -398, -493, -588?\n\"Answer: -95*w - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13242901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11651836 * -0.3.\nAnswer: -3495550.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171) + 0)**2 + 4*(-5 + 2*sqrt(19)).\nAnswer: 8*sqrt(19) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b**3 + 7*b**2 + 10*b + 4. Let x(l) = 4*l**3 - 2*l**2 - 3*l - 1. Let y(z) = z**3 + 10*z**2 - 2*z - 13. Let w be y(-10). Calculate w*x(a) + 2*g(a).\nAnswer: 2*a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11700005*m - 40. Let o be u(-8). Suppose -3*t + o = 6*t. What is t rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7034 + 2.8.\nAnswer: 7036.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 391 - 3*c - 29*c**2 + 101*c**2 - 391 as k*c + g + u*c**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 12. Suppose -2*c + 19 = -3*q + 2*c, 4*c - 18 = 2*q. Let k be ((-1)\/q)\/(2\/(-6)). Sort -2, t, k in ascending order.\nAnswer: k, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 1067517*r + 1067455*r)*(-r**3 + 2*r - 2*r) in the form q*r**4 + a + u*r + v*r**2 + f*r**3 and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((0 + 0)\/(-3) + -2). Is -3 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) -4 (c) -50 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 48 = 39. Calculate the highest common divisor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrrqqqrrrr. What is prob of picking 2 r and 2 q?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5*w + 16 + 47.\nAnswer: -5*w + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**3 - 13*t**2 + 9*t - 9. Let z(c) = 2*c**3 - 3*c**2 + 2*c - 2. Let f be ((-1)\/((-15)\/(-54)))\/((-4)\/(-10)). What is f*z(o) + 2*n(o)?\nAnswer: -2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1968)\/(-861))\/((-8)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*t + 2)*(2*t**3 - 2*t**3 - 3*t**3).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -19*h. Let c(f) = 259*f**2. Determine d(c(b)).\nAnswer: -4921*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5. Calculate the smallest common multiple of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416827 at most as big as 33\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 6*v + 0*y - 2 = 2*y, 80 = 20*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -174\/13, 9, -0.3, 1 in ascending order.\nAnswer: -174\/13, -0.3, 3\/5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 1)*-4 + -2*sqrt(98))**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2241378*j**3 + 9*j**2 - 2*j. Is q(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/4)*p)\/p)\/p)**(7\/10)*(p\/p**(1\/7))**(-44) assuming p is positive.\nAnswer: p**(-2161\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*f = 246*f - 40. What is the remainder when 498 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((6 + -7 + 6 - 0) + 5 + -145).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from vooiovvvoooi?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 14113 = 40789. Suppose -j = -5*r + 6781. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8795.028 hours to days.\nAnswer: 366.4595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 929 + -606. List the prime factors of j.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(12\/(-7)) - 5586090\/(-56568).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1834535 and 8805768.\nAnswer: 44028840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 17*n**2 + 6*n - 10. Let t be o(-8). Solve -12*s + t*s + 24 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923402 (base 16) in base 3?\nAnswer: 200000210102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**3 + 3*h**3)*(28 + 6 + 21)*(2*h + 3 - 3)*(2*h - h - 2*h).\nAnswer: -220*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h + 3*i - 1230, i + 829 = 2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4040, 13, -6, 1.\nAnswer: -6, 0, 1, 13, 4040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -92\/2895131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162 + -116. Suppose 10*y - l = 44. Calculate the remainder when 49 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-3) + 4)\/4. Let h be u + 7 - 2\/((-10)\/(-15)). Solve o + h*v = -2*o + 27, -4*v + 11 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*8\/(-464)*-29?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129352 and 28704?\nAnswer: 20178912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 23. Let o be l(4). Is o > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5 + 0*l**2 + 0 + 2*l - 3*l**2 - 4 - l**3. Let o be r(-4). Let m = -1 + 2. Calculate the highest common factor of o and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a - 3. What is the nearest to a in 0.2, -0.53, 3?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*w = -35, -4*d + 3*w = -3*d - 7. Find the third derivative of -98 - 35*n**3 - 30*n**2 - 135*n**2 + d*n**3 + 98 + 2*n**4 wrt n.\nAnswer: 48*n - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16416 and 72435087?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 10:32 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 0*h**4 + 6*h**4 - h**3 + (0*h**3 - h**3 + 2*h**3)*(3 + 3*h - 3))*(-33*h + 21*h + 40*h).\nAnswer: 140*h**5 - 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 - -0.25. Let i = 1\/480869 - 436149758\/757368675. Let q = 1\/225 + i. Sort q, 0, w.\nAnswer: q, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5872?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.89444354 and 2367.\nAnswer: 2365.10555646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -1 + -4 - (0 + (sqrt(50)*1)**2 + sqrt(50)).\nAnswer: -55 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5991*u = -2897*u + 232238 + 363258 for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 108 = 32. Let u = m - 2. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**2 + 80*j - 5. Let c(f) = 17*f**2 - 239*f + 13. Give -4*c(x) - 11*o(x).\nAnswer: -2*x**2 + 76*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/21372 and -71\/44?\nAnswer: 235092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1757?\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1649 - 59. What are the prime factors of y?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 2548*t**3 - 404492*t**2 - 407044*t.\nAnswer: -4*t*(t - 319)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + 0.9. Let c = -0.6 - k. What is the closest to -2 in c, -2\/11, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(88) + sqrt(88) + 2*sqrt(88))*4 + 1*sqrt(88)*2)\/((sqrt(72)*2)\/sqrt(9) + sqrt(128)\/sqrt(4)))**2.\nAnswer: 907\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -3 in increasing order.\nAnswer: -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a + 318. Let x = a + -791\/5. Put x, -2\/3, -5 in descending order.\nAnswer: x, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 50884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 52*p + 208. Let w be r(13). Solve -40 = -387*y + w*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 101005 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = 25522 + 4420. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 102, 5, 6 in increasing order.\nAnswer: -5, 5, 6, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 13) in base 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/5 + 12*j**2\/5 + 6*j + 16\/5 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -666*t**3 - 90652*t**2 - 10336*t.\nAnswer: -2*t*(t + 136)*(333*t + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*h = -10, -3*i + 7*h + 9 = 4*h. Solve 5*l = -t + 21, 0 = i*l + 8 - 33 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 13*j**2 + 7*j - 63. Let i be w(10). Let b = 767 + i. Let y(h) = 2*h**2 + 6*h - 1. What is the remainder when b is divided by y(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1140, -1131, -1122, -1113, -1104?\n\"Answer: 9*c - 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1813, -14586, -49255, -116770, -228081?\n\"Answer: -1825*o**3 + 2*o**2 - 4*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47\/120 + 1\/120. Let j = 27 - 26.9. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 - 0.2366. What is l rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797968637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/5 + 7024*b**2\/15 + 6232*b\/5 + 9344\/15 = 0. What is b?\nAnswer: -1168, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(4 - 1 - 1)*(5 - 4 - 3)*(-58 - 16*g**2 + 58).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19 times 0.9\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 2546, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -871 and -2.2.\nAnswer: 1916.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145266679 divided by 1.\nAnswer: -145266679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 103, 207, 311, 415?\n\"Answer: 104*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*n - 270*n - 46*n - 38640 for n.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*q = 25866, -3*b = -5*q - 22480 + 3066. What is the highest common factor of 132 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/4 - 14*a**3\/3 + 15*a**2\/2 - 22*a + 105. Let q be w(13). Let s(j) = 6*j - 4. Calculate s(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-42))\/(-2*1\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 64728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11676037 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9122?\nAnswer: 2, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2578034 and 1292?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 756 and 8208.\nAnswer: 57456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/27 (b) 23 (c) 3 (d) 0.5 (e) -433 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/27*3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 1\/5 - (-546)\/70.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1668 times -393?\nAnswer: 655524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3 - 11 = 0. Is 6\/(-4)*j\/(-3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i**3 - 3*i)*(24 - 3 - 2 + 11*i).\nAnswer: -22*i**4 - 38*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - 4*(sqrt(200)*-2 + sqrt(200)) - (sqrt(200) - (sqrt(200)*-2 + sqrt(200))*4))*6)**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:51 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2696.3 - -2696.2. What is the nearest to -1.17 in -3, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 11*p + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s - 21. Calculate y(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116.1 + 115.8. Put -0.1, k, 0, 3, 54 in increasing order.\nAnswer: k, -0.1, 0, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.199 - -0.434. Let k = 0.265 - l. Which is smaller: k or -2\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-5 - -12)) + 11 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 79 - 5. Calculate the remainder when z is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4871201 to the nearest integer?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 1*47\/2 + (-93)\/(-62)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 1. Let x be j(1). Let q be -3 + (0 - x) + -31. Let m = 3 - q. What is the greatest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 - 57*y**2 + 28*y + 202. Let x(f) = -5*f**3 - 58*f**2 + 32*f + 193. Let i(w) = 3*l(w) - 2*x(w). Factor i(m).\nAnswer: -5*(m - 2)*(m + 2)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 + -0.11. Let j = 12.01 + -0.01. Let n = 10 - j. What is the closest to 0.1 in o, n, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**4\/4 + 4*j**3\/3 + 7*j**2 - 7*j - 10. Let i be f(6). Solve -5 = -u - u - 3*m, 0 = -2*u + i*m - 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 141 + 6 + 6*r - 2*r**2 - 2*r in the form o*r**2 + l*r + i and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996 - 2635 = -313*f + 6186 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76790 by 2.\nAnswer: -38395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 52.34, -9\/5, -4\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.074 (b) -0.3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.6 - 0.4. Let b = -12 - h. Let l = -4.00000005 + b. What is l rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2305\/120366 or -1?\nAnswer: 2305\/120366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 8. Let g be z(-6). Let n = 15 + -11. Let r(d) = -d + 7. Let y be r(5). Solve -j = 3*c + n, 0 = 4*c - g*j - y*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*u + 5, 3*s - s - 3*u - 5 = 0. What is the remainder when 39 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 334558, 669141, 1003724, 1338307, 1672890?\n\"Answer: 334583*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1899*k**2*t + 23*k**2 + 277*k*t - 109620*k - 9*t - 18 wrt t.\nAnswer: -1899*k**2 + 277*k - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3*q**2 - 2*q - 1181. Calculate u(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b = 0. Suppose b = -2*j - j - 15. Let d be (-11)\/(-9) - (-5)\/j. What is the second biggest value in 4, d, -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 21 = -4*b. Let f(w) = w**3 + 8*w**2 + 5*w - 7. Let h be f(-7). Sort 2, b, h in ascending order.\nAnswer: b, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4\/5, -3\/2, -1\/4, 573?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 24*z - 199. What is u(26)?\nAnswer: 1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 18*t. Solve k - 5*z + 2 + 1 = t, -k + 2*z = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 14*j**2 - 360*j - 94. Let n be z(26). Solve -5*k = -5*h - n, 11*k - 10 = 12*k + 5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 339, 101, -285, -819, -1501, -2331, -3309?\n\"Answer: -74*c**2 - 16*c + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/9)\/v)\/v)\/v**1 assuming v is positive.\nAnswer: v**(-26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.66054?\nAnswer: 0.66054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 2. Let m be q(-5). Suppose -32 = -6*k + 106. Let n = m - k. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) - (sqrt(833) + 0)**2 - (5 + sqrt(68) - sqrt(17))) + ((sqrt(17) - (0 + sqrt(833))) + 4)*-5.\nAnswer: -2534 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873522*h**2 - 1747037*h**2 + 873534*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a = -34*a - 2*m, 0 = 2*a - 4*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 14. What is n(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 668103*c*u**3 + c*u**2 - 177922*u**2 wrt u.\nAnswer: 4008618*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2800)*1*4 + -1)**2.\nAnswer: -160*sqrt(7) + 44801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 2, x: 2, i: 5, t: 1, w: 2}. Give prob of sequence kv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10977*o - 24840955. Calculate p(-2263).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6286738 or 6286702?\nAnswer: 6286702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 21*v - 18. Let b be i(-20). Suppose -14*h + 2 - 9 - 2*h**3 + 1 - 10*h**b = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28515 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 - -220.0001036. Round w to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379278071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17890991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 5:45 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -92*n - 11. Let c be t(10). What is the units digit of (-3)\/9 + c\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -49*i + 1102. Let w(v) = -8*v + 174. Let b(q) = 6*j(q) - 38*w(q). Let d(s) = 21*s - 1. Determine 7*b(r) - 3*d(r).\nAnswer: 7*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(3) + sqrt(12)*2 + sqrt(3)))\/(-6*sqrt(2)*2*-5).\nAnswer: sqrt(13)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**3 + 33601*x + 2387*x**5 + 3*x**3 - 42216*x wrt x.\nAnswer: 47740*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 272, 419, 566, 713, 860, 1007?\n\"Answer: 147*w + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(90\/84).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 133 + 302 = 15, -281 + 28 = 3*l - 2*l + 6*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 342487860 to the nearest one hundred thousand.\nAnswer: 342500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 1, e: 4, s: 2}. What is prob of sequence kes?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3665 - -5518. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 2.899 (b) -2\/3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665 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: What is the greatest common divisor of 16362 and 282042?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -12. Let g be -2 - (-3 + y + -1). Let j be 0 + 1*(3 - g). Sort -2, j, -3 in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12, 18, 8, -24, -84, -178?\n\"Answer: -w**3 - 2*w**2 + 19*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 283621 or 283970?\nAnswer: 283970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3232*0.016.\nAnswer: 51.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 434*v**2 + 874*v - 438.\nAnswer: -2*(v - 1)**2*(v + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 628*z - 330*z - 310*z - 52*z**2. Let w(y) = -3*y. Determine k(w(v)).\nAnswer: -468*v**2 + 36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3380.316 grams?\nAnswer: 3380316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/94488 and 89\/5208?\nAnswer: 661416","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let r(t) = -2*t**3 - 5*t**2 - t - 1. Let b(s) = -2*l(s) + r(s). Suppose 0 = 3*x - x + 10. Is b(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8586460 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, 1, -2\/11, -1.8, 53.59?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43724.68 millilitres to litres.\nAnswer: 43.72468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*w - 33 - 37 + 70 to b + y*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 0*f = -32688. What is the remainder when f is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.1, -341, -0.2, -0.0231?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**4 + 967173*t**3*x + 1404*t**2*x + 2*t**2 + 2*t*x - 4*x wrt t?\nAnswer: 72*t + 5803038*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 2*f**4 + 2*f**2 + (-2*f - f - 4*f)*(f - f - 2*f)*(-3 + 3 - 2*f**2) + 12*f**4 + 24*f**4 + 30*f**4.\nAnswer: 40*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/3 + -3)*3 - -5. Suppose 0 = 4*l - 12, b*l - 232 = f - 3*f. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.318134+-3.502295\nAnswer: -2.184161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22443112414 + -1?\nAnswer: 22443112413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h + 2. Let l be c(-8). Suppose -5*y + l - 9 = 0. Let a be (y - -1)\/3*2. Solve 2*x = a*m + 14, 20 = -4*m - m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*z = -18. What is the smallest common multiple of z and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2 - 9*b - 1. Let f(t) = 21*t**2 - 46*t - 6. Suppose 0 = 4*r - 5*h + 4*h - 3, -5*h + 27 = r. Give r*f(w) - 11*x(w).\nAnswer: -2*w**2 + 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r\/r**(-1\/4))*r**6*r*r*r**(1\/5)*r)\/(r**(-6)\/r**(-5)*(r**1*r*r)**(-1\/6)) assuming r is positive.\nAnswer: r**(149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*y - 3*c - 0*c, 0 = -3*y - 5*c - 13. Let o(q) = q**2 - 9*q - 8. What is the tens digit of o(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*w + 5 + 4, -2*o - w + 3 = 0. Let a = -2545.4 + 2557.4. Sort o, 19, a in decreasing order.\nAnswer: 19, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Let p(z) = z + 11. Let m be p(-5). Suppose -8 = m*r - 2. Which is the second biggest value? (a) -0.3 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1285 + -0.1285. Let o(n) = 74*n**3 - 2*n**2 - n. Let g be o(-1). Which is the third smallest value? (a) g (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 + 150.99866. Round g to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 p when three letters picked without replacement from zezeucupee.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*f + 32, -r + f + 11 = r. Suppose r*x = 4 + 8. Let b = 0.9 - 0.4. Sort 1, x, b in descending order.\nAnswer: x, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011110100011 (base 2) to base 14\nAnswer: 22c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 8*i**2 - 10*i + 7. Let a = -496 + 503. Give l(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 714 + 5*u - 374 - 355 - 11*u. Give c(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2*z**3\/3 + 801. Let i(v) = 439*v**2. What is i(q(g))?\nAnswer: 1756*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42830269\/2857469340 + -2\/1381755. What is the common denominator of 43\/48 and h?\nAnswer: 24816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 257. Let y = -1746 + 1872. Let d = y + x. Solve d*p + 4*v = 5*p + 13, -p + 2*v = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 2 - 2*v)*(14*v**2 - 6*v**4 - 14*v**2).\nAnswer: 18*v**5 - 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3518, 7044, 10568, 14090, 17610?\nAnswer: 21128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27073 is divided by 6610.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in 2, 1\/9, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14721, 14679, 14635, 14589, 14541, 14491, 14439?\nAnswer: 14385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 7695468.\nAnswer: 7695468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 9*t - 91. Let o be 2602\/(-13) + 14\/t. Let r be (o\/(-3))\/(5\/337500). What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 11)*(-407)\/(-111).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598, 602, 610, 622?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 471?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -1570, -3561, -6348, -9931?\nAnswer: -14310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k - 15. Let u(t) be the third derivative of 7*t**4\/24 - 7*t**3\/6 + 4221*t**2. What is -9*u(v) + 4*w(v)?\nAnswer: -3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = 4*j, -j + 6 = -4*o + 2*o. Suppose j = 4*r + 10 - 42. What is the greatest common divisor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/(-12)) - 1137\/(-4). Let b = t + -282. Calculate the common denominator of 26\/11 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 0. Let c = 0.052 - 0.062. Let p = -0.21 - c. Sort p, -3, u in ascending order.\nAnswer: -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/11)\/c)\/c)**(-21)*c**(-10)\/(c*(c\/c**5)\/c) assuming c is positive.\nAnswer: c**(438\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59.4413 grams?\nAnswer: 59441300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i + 0 - 5*i + 3*i + 3*i + (-2 + 0 + 4)*(0*i + 0*i - i))*(-3 + 3 - i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74.3 + -53175.\nAnswer: -53249.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2732639*v - 47035087?\nAnswer: -2732639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/5)*o)\/o*o\/((o**(-8)\/o)\/o))\/(o*o**(1\/3)\/o)**(1\/12) assuming o is positive.\nAnswer: o**(2083\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times 0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -298604741786.\nAnswer: -298604741787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2072041 - -2047177019\/988. Let a = i + -5\/52. Find b, given that -10\/19 - a*b + 2\/19*b**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/5 + 272*w**3\/5 + 566*w**2\/5 - 388*w + 1104\/5 = 0. What is w?\nAnswer: -4, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17972264 divided by 10264?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -m + 2*n, -5*n + 24 = 5*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*u + 5*i, 0 = 5*u + 3*i - 126 + 44. What are the prime factors of (-4)\/u + 3 + (-3405)\/(-35)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czfz when four letters picked without replacement from sgsfzzcfzgggsszzszsz?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b47 - -5?\nAnswer: -b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.3, -2, -267.5, 1\/5, -4\/5?\nAnswer: -267.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -283867.4549 rounded to the nearest one hundred?\nAnswer: -283900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005314 divided by -1005314?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1c0 (base 14) to base 2\nAnswer: 101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -32 + 92. Suppose -d + 8 = -u, -p = -2*d - 3*u + u. Solve x = 5*z - 22, 0 = -4*z + d*x - 3*x + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17972310 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 5*z**2 + 22. Let s(p) = 3*p**3 - 5*p**2 + p + 22. Let v(q) = -5*s(q) + 4*t(q). Let i be v(-5). Solve 0*a = 3*a + i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.2 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1377, 5269, 11783, 20925, 32701, 47117, 64179, 83893?\nAnswer: 106265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15378685 (base 9) to base 10\nAnswer: 7669643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 + 2*s**2 - s - 3. Let q(j) be the second derivative of 3*j + 1 - 1\/5*j**5 - 1\/4*j**4 + 1\/6*j**3 + 2*j**2. Give 4*f(h) + 3*q(h).\nAnswer: 4*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 1. Let j(p) = 21 - 43 + 23. Let d(b) = h(b) - 4*j(b). Does 15 divide d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + 1 + (sqrt(22)\/sqrt(2) + 4 - sqrt(11)).\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2775, -5557, -8339, -11121, -13903?\n\"Answer: -2782*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 0, 4, 668, -30 in ascending order.\nAnswer: -30, -3, -2, 0, 4, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3, 49, 8, -594, -1\/6, 21.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/3)\/(-3*3\/1017)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 7 (c) 2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341299501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166785?\nAnswer: 5, 433357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3036, -6029, -9022, -12015, -15008?\n\"Answer: -2993*t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-98)\/343)\/(136\/14)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(448) - sqrt(448)) + -2*(sqrt(448) + -2*sqrt(448)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 7*m = 84. Let y = m + -27. Suppose 6*p - y - 27 = 0. Solve -p*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169 + 169. Solve -4*l - v - v + 14 = n, -3*v + 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/8 - 3*s**3\/2 - 2*s**2 - 2*s. Let t(i) be the first derivative of z(i). Does 15 divide t(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -2*a**5 - 327*a**4\/4 - 6421*a**2\/2 - 7480. Find the second derivative of b(k) wrt k.\nAnswer: -120*k**2 - 1962*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992320*m - 1988 = 992391*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -775, -777, -779, -781, -783?\n\"Answer: -2*r - 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 4*z**2 + z - 2. Let n be (1\/1)\/((-4)\/(-8)). Let x be m(n). Suppose 5*h - 1872 + 437 = x. List the prime factors of h.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -233*d. Let o(l) = -l**2 - 182*l - 1. What is y(o(a))?\nAnswer: 233*a**2 + 42406*a + 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:33 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(504))\/sqrt(2) - sqrt(70)\/(sqrt(490)*2 - sqrt(10)) - (6*(sqrt(35) + sqrt(35) + sqrt(35) + sqrt(35)*3))\/(sqrt(180)*3).\nAnswer: -105*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpeedpmmpem. Give prob of sequence me.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010010001110 (base 2) to base 8.\nAnswer: 152216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 12.84999 grams?\nAnswer: 12849990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256674 and 128337?\nAnswer: 256674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*l - 6, l - 3*g = -2*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -178, 5839, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) + (-3856)\/(-80). Let p = -45 + v. Let g be 5\/(5\/2) + 8. Solve p*m - a - 5 = g, -3 = a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12807789 and -0.5.\nAnswer: -6403894.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5110304.34 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 407 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 28 = -2*x, -4*m - 5*x - 4 - 15 = 0. Let z be (-16)\/572 + m\/39. Let t = -8.3 - -8. What is the third smallest value in t, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -475\/4 - -118. Let o = 0.4 + -0.2. Let f = -4.84 + -0.16. What is the smallest value in o, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - 3 + 2 - 8*z**2 + (160 - 160 + 2*z)*(-7*z + 5*z + 7*z) as u*z**2 + c*z + y and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -61 at least as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -7480?\nAnswer: 7474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24396\/72760 - (-1)\/(-10)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211185 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*q**2 + 57*q**3 + 55*q**3 + 2 + 67*q**2 + 2*q + 59*q**3 - 172*q**3 to the form c*q + w*q**3 + v + y*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 5. Suppose -65 = -5*o - 5*p, -5*o + 2*p + 14 = -2*o. Let a be t(o). Solve -g - 2*x + 6 = 3*g, -a*g + 3*x = 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/11 - 12*q**2\/11 - 2*q - 12\/11 = 0. What is q?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 2509.\nAnswer: 15054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17*r + 24. Let c = 23 - 25. Let z be q(c). What are the prime factors of -1 + -94*2\/(8\/z)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3853 - -3963. What is the lowest common multiple of i and 580?\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/19)\/(y\/(y*y\/(y\/(y**(2\/7)*y)))*y))\/(y**(-4)\/y**3))\/((y*y\/((y**1*y*y)\/y))**(-2\/79)\/((y*y**(2\/7))\/y**(-1\/10))) assuming y is positive.\nAnswer: y**(11393\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13445, -13453, -13467, -13487, -13513, -13545?\n\"Answer: -3*v**2 + v - 13443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14991648 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.08, -1, -224?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssslslsss. What is prob of sequence ll?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 293 - 278, 5*x = 4*j + 115. What is the highest common divisor of 4351 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -13 + 18 + 2 + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/5 + 4244*y**2\/5 + 8482*y\/5 + 848 = 0. Calculate y.\nAnswer: -2120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, 94, 138?\n\"Answer: 44*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 2343144?\nAnswer: 2343163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14 - 1 = 0. Suppose -3*a = -4*s + 2, 0 = s - g*a - 0*a + 4. What is the greatest common divisor of s and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-609)\/15*(-15)\/9. Let x = 67 - r. Let l = -10\/43 + 156\/301. Which is the closest to l? (a) 4 (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a factor of 15482521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 11. Let u = b - 7. Find the second derivative of -5*a**u + 14*a**4 - 14*a**4 - 2*a wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.7744 to the nearest integer.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54536 <= 54624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2488818*r**3 - 74527*r**2.\nAnswer: 14932908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 54680 = -30972. What is the greatest common factor of t and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5707238.79366 and 9.\nAnswer: -5707229.79366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -3*(1 + sqrt(2736)) + 6*(1 + sqrt(2736) + sqrt(2736)) + -5*(sqrt(2736) + -1)*1)*3.\nAnswer: 90 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k + k**2 - 4 + 37\/8*k**4 - 3*k**3 - 1\/28*k**8 + 1\/14*k**7 - 59\/20*k**5 + 27\/40*k**6. Determine a, given that u(a) = 0.\nAnswer: -3, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 10) in base 15?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/10 - 35\/(-50))*-4. Which is smaller: -15\/7 or g?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:14 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -31 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 x when four letters picked without replacement from xxejfj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1192973\/332 + -14375\/4. Find the common denominator of p and -21\/8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -401, -2319, -7297, -16865, -32553, -55891, -88409?\n\"Answer: -255*n**3 - 133*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11870045\/6 or 1978341?\nAnswer: 11870045\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22\/5 - -4. Let v = -4.4 + 3.4. Which is the biggest value? (a) -7\/3 (b) v (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34609*r + 34582*r = -405 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1159*l**4 - 5*l - 1161*l**4 + 2308*l**4 - 2*l**2 + 2*l**3 to the form p*l**4 + s + j*l**2 + h*l**3 + i*l and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {q: 3, h: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 405*q**3 - 308*q**3 - 4 + 1 + 0*q**2 - q**3 + 0*q**2 + (-4*q**2 - 3*q**2 + 5*q**2)*(q + 4*q - 4*q) + 2 + q**2 - q**2 - q**3 - 3*q.\nAnswer: 93*q**3 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*i - 2*u + 28, -431*u = 2*i - 459*u + 104 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = q - 3*s + 2, 6 = q - s. Suppose q*j - 1 = 5. Let y(g) = g - 3. Calculate y(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f + 704 - 79 - 166 = 0 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -273.147, 1, 5 in descending order.\nAnswer: 5, 4, 1, -3, -273.147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r**2 + 15*r - 5. Let h(o) = -9192*o**2 + 9196*o**2 - 27 + 7*o + 25. What is 5*h(d) - 2*m(d)?\nAnswer: 4*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(162) + sqrt(162)*2 + sqrt(162))*-3.\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3632401*k**3 - 23*k**2 - 750992757*k.\nAnswer: -21794406*k - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -14. Suppose -6*d + 11*d - 10 = x. Solve 0 = -k + d*l - 5*l - 12, 0 = 2*l + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -1 (c) -1\/2 (d) -2830114 (e) -0.3 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let n(m) = -20*m - 202. Let q(f) = -n(f) - 2*x(f). Let a be q(-11). Let k = -4 + 32. What is the highest common factor of a and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -19, -37, -63, -97, -139?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 303.7 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 15) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3537\/1620*-6 + (-1)\/(-10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -29. Suppose w = 3*f + 1. Let o = -67\/78 + 5\/26. Which is the second biggest value? (a) f (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/3 + d**2 + 18*d. Let w(q) = q**2 - 2 + 3 - q + 0*q. Determine f(n) - w(n).\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/2))**9\/(f\/((f*f**(-2\/7)*f)\/f*f))**(1\/68))**(-24) assuming f is positive.\nAnswer: f**(-38586\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/203821280 and -143\/3270.\nAnswer: 611463840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, -23 in descending order.\nAnswer: 1, 0.5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8911888.\nAnswer: 2, 293, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) - (sqrt(378)\/sqrt(6))**2) + (2*sqrt(35) + sqrt(35))\/sqrt(5)*-3.\nAnswer: -63 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -411.3 - -411. What is the closest to 1 in 7, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3*c = -27, -41*p + 31 = -36*p + 4*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5*(-23)\/(79971\/190)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 20*r + 9. Let c be z(-7). Sort 19, 1, c, -2 in increasing order.\nAnswer: -2, 1, c, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103407617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/784*14)\/(1 - (-585)\/(-595)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -157 + 145 + (-112)\/(-10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42 + 34\/17 + -5 + 1. Let z be 4*(-2 - (-13)\/4). Calculate the highest common divisor of z and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.34 - 12.21. Sort o, -2, -0.4, -6.\nAnswer: -6, -2, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 17791486?\nAnswer: -17791481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11110011 (base 2) to base 14\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3505\/2 + 1\/(-2). Suppose 4*w - 2332 = -4*h - 0*w, -3*h - 4*w = -z. What is h rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 14*y**2 - y + 2. Let b = 10 + -8. What is the tens digit of i(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1426*g + 2. Is w(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218781 is divided by 283?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + w**2 - 3*w**2)*(0 + 0 + 2*w**2) + w**3 - w**3 - 2*w**4 + (2 - 5 + 1)*(2*w**2 + 2*w**4 - 2*w**2) - w**4 + 4 - 4 + 0*w**3 + 3*w**4 + 0*w**3.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 6, 0.2, -1, -1757, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103223122 - -1020131?\nAnswer: 110303313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {j: 10, i: 1, f: 4, p: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 1000972?\nAnswer: -1000969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22838400 and 1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3969 by 9.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 363, 2\/7 in descending order.\nAnswer: 363, 2\/7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002506 rounded to seven decimal places?\nAnswer: -0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(81\/9)\/1908*-2.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6350726637 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -93?\nAnswer: -28\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -31615*f - 158108. Calculate g(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49208507*v**4 - 2*v**3 - 2*v**2 + 13334606*v wrt v?\nAnswer: -1181004168*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2055 + -2054. What is the closest to -7 in 5, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from {t: 2, c: 2, w: 1, a: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3863*d**2 + 8016*d**2 + 79 - 3998*d**2 - 4*d. Is h(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 + 147 = -v. Suppose -8*x - 1100 = -4*x. Let i = x - v. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139525813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -46. Suppose -40*n = -41*n + s. Solve -8*r + n*r = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2725, -3623, -5123, -7231, -9953, -13295, -17263?\n\"Answer: -g**3 - 295*g**2 - 6*g - 2423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2256.39 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrlrlrrlrlrnnnr. What is prob of sequence llnn?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.985 in 1, 65, -4, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m + 1. Let s be (2*1)\/(-24 + 23). Let a(d) = 2*d**4 - 55*d**2 - 12*d - 4. Let y(i) = s*u(i) - a(i). Find the second derivative of y(f) wrt f.\nAnswer: -24*f**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 - 3 = 0. Let o(p) = m - 3 + 4*p - 3. Does 13 divide o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.8. Let m = 7820 - 7823. What is the second smallest value in m, 8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.541 - -0.16.\nAnswer: -0.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 9. Suppose n - 4*m - p = 0, m + 20 = n + 4*m. What is the remainder when 32 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4868.237 litres in millilitres?\nAnswer: 4868237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1043360, 2086708, 3130056?\nAnswer: 4173404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 336.7275 - 0.6275. Let j = i - 321. Let v = 15 - j. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q + 3. Let l(p) be the second derivative of p**2\/2 - 4*p. Let c(o) = g(o) - 3*l(o). Let r(z) be the first derivative of z**2 + 2. Give r(c(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 4:25 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)\/w**(2\/5)*w\/(w*(w*w**(-5)\/w)\/w)*w**(-4\/5) assuming w is positive.\nAnswer: w**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4 (b) -2 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 3. Let g be z(-1). Let a(n) = -g*n**2 + 3 - 4 + n**2 - 22*n + 0*n**2. What are the prime factors of a(-20)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 - 263*c**2 + 256*c + 1572 = 0.\nAnswer: -2, 3, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -4554?\nAnswer: -4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 5 = -h + 31*l, 5 = -2*h - l. Suppose 5*v = -0*b - b + 8771, 2*b - 2 = h. List the prime factors of v.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**2 - 4*c + 4. Let y(l) be the first derivative of -11*l**3\/3 - 5*l**2\/2 + 5*l + 11. Calculate -5*j(h) + 4*y(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 + a + 1. Let z(r) = 11*r**3 + 4*r**2 + 3*r + 3. Let h(n) = -3*m(n) + z(n). What is the third derivative of h(g) wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 12*u + 39. Let i(c) = 23*c + 76. Let m(d) = 3*i(d) - 5*v(d). Is 11 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -114*m**2 + 3*m. Let x be s(1). Let u = x + 128. Solve u*y = 14*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129747 + 62*f**3 - 10*f**3 + 129747.\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/13)\/(h\/(h\/(h\/(h\/(h*h**(1\/10)*h*h)*h)*h)*h*h))*h**(-5\/7)*h**5)**(-47) assuming h is positive.\nAnswer: h**(-126383\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 100*c**2 - 45*c - 45. Let a(q) be the second derivative of -3*q**4\/4 + 2*q**3\/3 + 2*q**2 + 699*q. What is -45*a(u) - 4*g(u)?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 134850773 to the power of 1\/3, to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 4, 1132565 in decreasing order.\nAnswer: 1132565, 34, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2338 - 1351. What are the prime factors of p?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6707595 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*r**3 - 27*r**3 + 14*r**3 - 38*r**3 + 351*r**3.\nAnswer: 508*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**3 + 823690*k**2 + 21413405*k + 139181640 = 0.\nAnswer: -164712, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = -3*x + 101, 4*n = -3*x + 100. Suppose 16 = j + 4*o - 0, -5*j - 4*o + x = 0. Is -6*j\/(-8) + 124 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344025?\nAnswer: 5, 93761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(475)*3)**2*3.\nAnswer: -64125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -612?\nAnswer: -85.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, m: 3, j: 4}. Give prob of picking 2 m and 1 b.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 + 76. Calculate the remainder when 136 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-13))\/((-5)\/((-20)\/(-6)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -3. Let q be (2 - 0)*2*15\/(-12). Let n be q\/((-1)\/(-5) + (-6)\/5). Solve 3*h = v + n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-128)*62 - 4 and -79\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 - 161. Let y be (-18)\/264 - (-1)\/4. Factor -y*u**2 + 4\/11*u + x - 2\/11*u**3.\nAnswer: -2*u*(u - 1)*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, 0 in descending order.\nAnswer: 21, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/5)\/z*z**(1\/2))\/(z\/(z**(-5)\/z)*z*z*z**(1\/11)))**(-15\/2) assuming z is positive.\nAnswer: z**(2571\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 2*b + 1801. Is n(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342580567932994 + -0.5?\nAnswer: 342580567932993.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/7 + 6*y**3\/7 - 2*y**2\/7 - 6*y\/7 + 4\/7 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 469537, 469527, 469507, 469471, 469413, 469327?\nAnswer: 469207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 4 + 2 + 4. Let i(k) = k + 1. Let l = -154 + 172. Let z = 26 - l. Calculate z*i(p) - 5*x(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*(-18)\/4 + 28832\/50048\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + 4*z**3)*(8*z**2 - 5*z + 5*z + (-z + 6*z - 4*z)*(2*z + 3*z - 4*z) + z**2 - 2*z + 2*z).\nAnswer: 40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.148 + -1.248. Which is the smallest value? (a) 3 (b) -2\/17 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 57*b + 59*b + 6, -2*m + b = -8. Solve 0 = -m*o + o + 3*c + 14, -5*o = 5*c + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:37 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18836 divided by -2055.\nAnswer: -18836\/2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1371829 or 15\/8?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 + m. Let w be f(0). Suppose w = 2*d - 2*j + 22, j + 46 = -4*d + 3*j. Is d at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 6*n**2 + 5*n - 14. Let i be d(-7). Let t(z) = 6 + 6 + 2*z**2 - 5 + z**3 - 3*z**2. Calculate t(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 510*f - 1 - 145*f + 234*f)*(-60 + 60 + 8*f) as s*f**2 + x + l*f and give s.\nAnswer: -3368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113977438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 4:26 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.0649m in micrometers?\nAnswer: 68064900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -19 + (10 - -11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32164 and 19178?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 32*b - 10*b**2 - 32*b.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 289194.2 rounded to the nearest 100?\nAnswer: 289200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-496)\/20 - (-1)\/(-5). Let c be ((-2)\/l)\/((-9)\/(-15)). Suppose 3*s + 2*v + 3 = 0, 2*s + 4 = -4*v + 2. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10*y - 1386 = -8*y, -3*b + 4164 = -4*y. What is the remainder when b is divided by 155?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*z**3 - 2120712*z**2 + 41577494*z wrt z.\nAnswer: -18*z - 4241424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362555653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/42*6*(-28)\/(-32)*16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 20*x. Let o(h) = 85*h**2. What is o(b(y))?\nAnswer: 34000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.1 + 16. Let g = 43.4 - 45. Let i = g - x. What is the nearest to 1 in 0.5, -0.2, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*a + 94198 - 94215, 2*p - 5*a + 47 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 56 + 16 = 0. Suppose -14*x + 15*x = 40. Suppose -2*i = 2*i - x. Solve o = -4*a - i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 9:44 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k - 16*k**2 - 4*k**3 + 0*k**3 + 49*k - 39*k = 0. Calculate k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:39 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 47) + (2 - 7) + -8 + 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c - 5. Suppose -8*n + 131 = -27*n - 21. Let q(z) = 20*z + 14. Determine n*h(p) - 3*q(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 19 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7322*w - 1 + 4 + 3546*w + 3803*w.\nAnswer: 27*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1725*i**5 + 3*i**4*r - 39*i**3*r - 2*i**2*r - 133*i**2 + 20*i*r - 13*r + 6 wrt i.\nAnswer: 103500*i**2 + 72*i*r - 234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1008674 to the nearest integer?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1757 + -1753. Let g(v) be the first derivative of -2\/5*v**5 + 2*v**3 - 1\/2*v**4 + n*v - 13 + 5*v**2. Factor g(h).\nAnswer: -2*(h - 2)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from {w: 4, s: 15}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-20 - -50))\/(33\/402) + 4\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2020*f - 1138*f + 3812*f - 342662 = 0 for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131835)\/6171 - (-4)\/11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 15. Solve -4*m = -g*a + 6, -2*a - m + 9 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.4, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.4. Let a = -33635 - -33644. What is the nearest to o in 4, 2\/9, a, 1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**7\/210 - 367*s**6\/60 + 97*s**5 - s**3\/6 - 6364*s**2. What is the third derivative of m(j) wrt j?\nAnswer: -24*j - 4404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023464997 rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4369960 - 8024?\nAnswer: -4377984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26066, 26065, 26064?\nAnswer: 26063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 3*i**2 - 4*i - 1. Let b be s(4). Let r = -5 - b. Let d = -313\/3 - -106. Sort d, 5, r.\nAnswer: r, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.8 + -19.8. Let n = -0.4 - 4.6. Sort 4, n, t in ascending order.\nAnswer: n, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 7, h: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/69147741 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 4*u + 89. Determine j(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 2*c - 1. What is x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from fwwyejfyffzfw.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1293 + 10343\/8. What is the nearest to 2 in r, -5, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200422347.\nAnswer: 3, 31, 2155079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1 + 2*b - 16*b - 4 + 4*b. Let m(n) = n + 1. Let w(p) = l(p) + 5*m(p). Let s(r) = -r**2. Give s(w(u)).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-6 - -22 - (-5 + 14))) + 41\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 - 2. Let f = 0.2 + g. Let y = f + -2. Which is the second biggest value? (a) y (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 471*z + 18073. Give l(45).\nAnswer: -1097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*n)*(-n**2 + 0*n**2 + 0*n**2)*(-5*n**2 + 6*n**2 + 9*n**2).\nAnswer: 20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)\/(1*sqrt(20))*4)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a - 2*a**5 - 7*a + (2*a**4 - 5*a**4 + 5*a**4)*(0*a - 2*a + a) + 46*a**5 - 20*a**5 + 233*a**5.\nAnswer: 255*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2305*s + 631*s - 3755*s - 21998 = 86582 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27177\/5780 - 15\/289. Find the common denominator of -55\/2 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + -7 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*l + 3*b, -3*l + b = -0 - 21. Let o be l\/(-32) - (-1)\/1. Put -1\/4, -4, o in decreasing order.\nAnswer: o, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h - 0. Let a be (12\/10)\/(8\/20). Let s be h - (a + -6 + 3). Is s >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.91, 1?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j + 3. Let m(w) = -6*w + 2. Give -3*l(c) + 4*m(c).\nAnswer: -6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 16 + 5 + -6 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + j. Let b(f) = -f. What is b(l(w))?\nAnswer: -3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/44 and -59\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q. Let h be g(-3). Let o(t) = 175*t**2 + 6*t - 17. Is o(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*c + 10*c - 521 - 568 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/35*(-4)\/(-8). Let i = 0.8 + -1. Let a = i + 0.1. What is the nearest to a in -0.5, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: a8785 (base 12) to base 10\nAnswer: 222293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -45, -64, -83?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*f - 2*a, -2*a + 10*a - 27 = -5*f - 9*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 + 124. Calculate the common denominator of ((-6)\/p)\/(-3 - 4) and -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -2d?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f - 2*r - 58, -4*f = -5*r - 115. Suppose -3*l - f = -5*t, -65 = -5*t - 3*l - l. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/6*(-729)\/972\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22*f + 313. Let h be p(-14). Solve h*x - 2*v = 14, x + 2*x + v = 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12189?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -769826*l**3 + l**2 - 37228?\nAnswer: -4618956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2 - 84*z + 36*z + z**2 + 54*z. Let p = 92 + -97. Determine x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3*w**2 - o**3 - 47*o**2*w**3 - 54*o*w wrt w.\nAnswer: 2*o**3 - 282*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -33, -3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 5147.\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (-9 - (7 - 8))) + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3283 * -23660.\nAnswer: -77675780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 40*c**3 - 3*c**2 + 123*c + 3. Let j(w) = -79*w**3 + 7*w**2 - 245*w - 7. Let h(p) = 7*a(p) + 3*j(p). Find the second derivative of h(t) wrt t.\nAnswer: 258*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 6 = -6*o. Suppose 3*z = 3*c + 3, -4*z - 15 = 1. Put -7, o, c in descending order.\nAnswer: o, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -66, -78, -94, -114, -138?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 17 - 11, -7 = b + 2*p for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 80776 (c) 1723\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.84 + 0.58. Which is smaller: -2\/13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 792819799*i**4 + 227625059*i?\nAnswer: 9513837588*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 4*m = 40, -s + 2*m + 8 = 0. Let y be 0 - s\/(48\/(-30)). Solve -y*o + 10*a = 5*a + 5, o + 1 = 4*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146807379 take away 0.57?\nAnswer: -146807379.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.187 * -66\nAnswer: -144.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r)**(-25))**(-2\/11) assuming r is positive.\nAnswer: r**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -188 + 187.89. Let i = 45 - 41. What is the nearest to 0 in 0.1, z, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 10. Let o be ((-2)\/4)\/((-2)\/4). Let i be (-40)\/(-18) - (3 - o). Sort i, -0.4, k in decreasing order.\nAnswer: k, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(5\/7)*p*p)\/(p\/(p**(-2\/11)\/p*p)))\/(p**3)**(3\/11))**(-10\/3) assuming p is positive.\nAnswer: p**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11\/14325 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 5 + 4*x**3 + 17*x**2 + x**3 - 17*x**2.\nAnswer: 8*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(0\/(-1) - 1). Suppose i + 5 = -r*i, -3*j - i = -154. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 6*p**2 - 5*p - 6. Let z be r(-6). Suppose 4*x = 3*l - z, -2*x + 5*x + 4*l + 18 = 0. Which is bigger: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-260*o**2 - 5 + 5)*(-4 + 4 - 6 + (1 - 1 + 2)*(-2 - 1 + 4) - 1 + 2 + 1)*(2*o**2 - 2*o**2 + o**2).\nAnswer: 520*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - -175. Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 882?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53385024 divided by 238326?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 606 - 313. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -4, -107 in descending order.\nAnswer: 5, -1, -4, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 2*i + 1. Let x(g) = g**2 - 3*g + 1. Let j(h) = 4*v(h) - 3*x(h). Let d(u) = 15*u**2 + 4*u + 1. Let k(l) = d(l) - 2*j(l). What is k(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 10356\/52 + (-2)\/13?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -2319, -0.5, 5.\nAnswer: -2319, -5, -0.5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Let j = b - 6. Let r = 1 + j. What is the closest to r in 0.1, 0.2, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and 1363889?\nAnswer: 1363873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfa when three letters picked without replacement from {f: 1, a: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3797 - -19.7797. Sort -4, 3\/4, -0.2, g.\nAnswer: -4, -0.2, 3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 - 3*b**2 - 4*b + 1. Let o(r) = 2*r**3 + r**2 + 3*r - 1. Determine -3*o(l) - 2*x(l).\nAnswer: -2*l**3 + 3*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxllxxxlxlxxxxll. What is prob of picking 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4 + 39*q - 36*q + 14*q**2 + q**3 + 5. Is h(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -335206a (base 12) to base 9\nAnswer: -20414061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - (215\/(-15) + -6). What is the greatest common divisor of 210 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620812 is divided by 11085.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/(w**2*w))\/(w**2)**41 assuming w is positive.\nAnswer: w**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 13. Suppose 0 = -3*f + f - 24. Let w be d(f). List the prime factors of (3 - (10 + -2))*w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -132. Let v(c) = 42*c**2 - 4*c - 1. Let m be v(-3). Suppose 3*x = 4*i + m, y + 5 = 3*i. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 273?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 261*h**3 - 8*h**2 + 15*h - 11. Let g be d(4). Suppose -g = 59*k - 98222. What are the prime factors of k?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09723919521 to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107655037 - -11445037. Round b to the nearest 1000000.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-33)*(-23)\/((-3933)\/(-38))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 6*d**2 - 2*d. Let q be f(4). Let i be 0 - q\/22 - 2. Let b be ((-8)\/66)\/((-22)\/33). What is the closest to b in 4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 7*l**2 + 2. Let r be q(-7). Suppose r*t + 180 = -3*t. Let b be 12\/t + 13\/3. Solve i + 0 + b = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 7 = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 divided by 948848?\nAnswer: 183\/474424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 + 76 + 12*n)*(-4 + 9 + 30 - 2*n) to i + y*n**2 + u*n and give u.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109816 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 3*c)*(c**2 - 4*c**2 + c**2).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42239809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 10*t + 3*h - 129 = 0, -3*h + 140 = -20*t + 2*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 226*t - 7455. Let p be s(33). What is f in 48\/17*f**4 + 0 - 18\/17*f**p - 32\/17*f**5 + 0*f + 2\/17*f**2 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(11) - 5*2*sqrt(11))**2 - ((sqrt(88)*1 - sqrt(88) - sqrt(88))\/sqrt(8) - sqrt(11))).\nAnswer: 2*sqrt(11) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = w - 72, -2*w = 4*j + 42 + 18. Let o = j + 26. What is the units digit of ((-8)\/(-3))\/(1\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*t - 93*r + 90*r, 27 = 9*t + 3*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197227, 197221, 197205, 197173, 197119?\nAnswer: 197037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 - 27*p + 24. Let x be j(8). What are the prime factors of (-6)\/(-16) + 48616\/x + -1?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 5, -0.03, 4\/9 in decreasing order.\nAnswer: 5, 4\/9, -0.03, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137.5 and -0.02941.\nAnswer: 4.043875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 3. Suppose -2*n - s + 16 = 0. What is the third derivative of 6*z**3 - 6*z**n + 84 - 84 wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597249 to the power of 1\/2, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-49)\/(14\/(-2)) - 8072\/(-8) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3532836416.\nAnswer: 2, 55200569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.2 (c) 7\/2 (d) -100930\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 20*b**2 + 2*b + 3. Let v(l) = 1. Calculate -f(o) + 4*v(o).\nAnswer: -20*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*555\/481*(9\/(-3))\/3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrohrwr. Give prob of sequence oww.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6076175.\nAnswer: 5, 7, 34721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4170*h**2 - 2087*h**2 - 358*h - 2081*h**2.\nAnswer: 2*h**2 - 358*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s + 0*s)*(3 - 7 + 2)*(-3 + 4 + 2).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17753661817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**4\/7 - 2693*p**3\/7 + 21118*p**2\/7 + 121152*p\/7 - 27936\/7 = 0. Calculate p.\nAnswer: -4, 2\/9, 12, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2056 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5))**(14\/13)*(k**8)**(-47) assuming k is positive.\nAnswer: k**(-4958\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) 0.05 (c) 3 (d) -0.3 (e) -2 (f) -2799 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:18 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 787594649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/15 + 20392*x\/15 + 51979208\/15 = 0 for x.\nAnswer: -5098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 385041067 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -5635458192.\nAnswer: -5635458190.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -16*l**2 - 1 - 9\/10*l**5 + 0*l**4 - 2*l - 1\/15*l**6 - 1\/3*l**3. Find the second derivative of j(f) wrt f.\nAnswer: -24*f**2 - 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81517357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*j - 23, -1 = -2*x + 3. Suppose i - 5*t + 14 = -i, -25 = -3*i - 4*t. Solve -4*y - j*d + d = -4, 4*d - i = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1109169 and 18072.\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 84?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r - 2*x - 20 = 0, -4*x = 2*r - 10. Let a = -307\/61 + r. Do a and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*i - 5, -17 = -2*i - g - 6. Suppose -2*n = -i*n + 4000. Let p be (-5*n)\/(6\/(-435)). What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j - 1937. Let n(u) = -20*u + 2939. Give -8*h(c) - 5*n(c).\nAnswer: -4*c + 801","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-90)*2 + (0 - (11 - 4))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((12\/(-8))\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -8*c + 45. Suppose 33*d + c = 38*d. Is d at least as big as -2\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1686 - 1682. Solve -19*b + 22*b - o*a - 9 = 0, -3*b + 2*a + 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 3*t - 15 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 20 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3 - 18. Let y be -3*(5\/s + 0). Suppose 3*z = -2*r + 6*r + 7876, 7880 = 3*z - y*r. Round z to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 15 = 5*u, 0 = u - 2*d - 4 - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n = -58*n - 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q + 7*q - 23*q - 15*q**2)*(0*q**2 + 0*q**2 + q**3).\nAnswer: -15*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 86, 120, 172, 248, 354, 496?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69190836 by 6.\nAnswer: 11531806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -18 + 25*c + c**3 - 11*c**2 + 9*c - 11*c. Let k be o(9). Differentiate -37 - k + 49 - g wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-195)\/154)\/5 - 64\/(-352))\/(45\/(-810)). Factor 1\/7*i**3 - 6\/7*i**2 + j*i - 4\/7.\nAnswer: (i - 4)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16755\/59 + 209105\/531. Let o = 678 - f. Which is the biggest value? (a) 0.4 (b) o (c) 7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290 - -295 - ((0 - -2) + -6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*o + 196, -4 - 6 = 5*o. What is s rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (145\/435)\/(2\/40446)?\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = 4 - 72. Suppose -15*d + 2189 = -g*d. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 98 = -8*v + 20*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1305, 2049, 2803, 3567, 4341, 5125, 5919?\nAnswer: 6723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884093073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15709462 is divided by 13268?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3039 and -83\/4.\nAnswer: 12156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -227? (a) -2 (b) -5 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10*g + 2*g**2 - g**2 + 10121 - 10098. Calculate n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.74 * 34.\nAnswer: 569.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-13)\/r)\/(r*r\/((r\/((r\/((r*r*r\/(r*r**(1\/7)\/r)*r*r)\/r))\/r*r))\/r)) assuming r is positive.\nAnswer: r**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -190 (c) 0 (d) -16\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121442465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10) + (-3 - (-880)\/66).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 8, 1.1, 5\/26?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1016 * 0.2.\nAnswer: -0.02032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 2*x. Let k be y(-2). Calculate the highest common divisor of k and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((17\/68)\/((3\/1)\/456)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/50*(-105)\/(-252)*2.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1166 + -1164)\/(3\/(-15))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 103*a**2 - 1028*a + 11. Calculate j(-38).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*i**2*z + 2013*i**2 + 17*z wrt z?\nAnswer: 25*i**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1286, -2, -5, 0, 1.\nAnswer: -1286, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnddnddnnndddn. Give prob of sequence ndn.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.2 + 10.6. Which is the biggest value? (a) -7 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4544 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 + 12917480*r\/7 + 20857661193800\/7.\nAnswer: 2*(r + 3229370)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*f**3 - 1235*f + 406*f + 404*f + 425*f.\nAnswer: 166*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 316330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2. Suppose 0 = -5*q + 3*s - 3 - 0, q - 5*s = -5. Let i(b) be the second derivative of 0 + 2*b + 0*b**2 + 1\/6*b**4 + q*b**3. What is i(p(o))?\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 177339420*b - 2620772490494700.\nAnswer: -3*(b - 29556570)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/13 + 12*p**3\/13 + 2*p**2 + 24*p\/13 + 8\/13 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3 + 1 + 3*i**2 - 1 - i + 4. Let c = 313 - 314. Let s be g(c). Solve 0*q - s*q = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 86 + 34 = -b. Solve -b*k - 44*k = 48 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641457561 to the power of 1\/3, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/196 and -151\/6.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -148.\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -aca9d1b - -3?\nAnswer: -aca9d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 47*k**6\/10 + k**5\/30 - k**4\/12 + 919*k**3\/6 + 3*k**2 + 40*k. Differentiate t(y) wrt y.\nAnswer: 1692*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21*l = -69444. What are the prime factors of l?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 2*b)*(7637 - b - 8938 + 0*b - 2*b)*(-2 + 3 + 0).\nAnswer: -6*b**2 - 2602*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 480416 at most 480418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3)*k\/((k\/(k**(-7)*k))\/k)*k*k\/(k*k**(-5\/4)\/k)*k*k**(-1\/11))\/((k\/k**(-2))**(-1\/21)*(k\/k**(-4\/5)*k)\/k**(-1\/2)) assuming k is positive.\nAnswer: k**(-26171\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:05 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*t**2 - 114*t**2 - 11*t**4 - 6*t**6 + 8*t**2 + 21*t**4 - 114*t**2 wrt t.\nAnswer: -720*t**3 + 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -12*k. Calculate f(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0*q + 0*q)*(10*q - 5*q - 620 + 508).\nAnswer: -10*q**3 + 224*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d**3 + 2 - 2 + d**3 + (-2*d - d + d)*(d**2 + 0*d**2 + d**2).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 3*t + 0*t)*(2*t**3 - 3*t**3 - t**3) + 3*t**4 - 4*t**4 + 2*t**4.\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 3. Let u = a + -2. Let p = 6 - u. What is the nearest to p in -2\/11, 4, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b - 15 = 0, 2*b = 4*a - 18. Suppose -5*i = -3*w - 10, 0*w - a*w + 30 = 4*i. Let s be 8\/20 + 13\/i. Is s bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 + 86. Suppose -5*l + 6*l = w. Suppose -3*u + h + 660 = -302, l = -4*u - 4*h + 1256. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 3*k**2 - 2*k**2 + k - 3*k**2 + 5*k**2 - 8*k**2 + (k - 3*k + k)*(-2*k + 2*k - 2*k).\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 - (-7 - -12) - 3*-2. Suppose 2*m - 109 = -3*q, -2*m + q = -95 - h. Calculate the remainder when m is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 54*b**2 - 374*b - 273. Let w be u(-46). Solve 5*z = w*o - 24, 9 = -2*z + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m + 1 = 0. Let a be (m + 9)\/((-6)\/(-9)). Solve -4*o + a = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1304050 and 550?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 5*c**2 + 6*c + 4. Let p be d(-6). Suppose 12*g + 5*g = -5*g. Solve 3*q - 35 = -g*b + p*b, -b = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = 1. Let i = d + 2. Solve 5*a + i = -7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/((-195)\/(-20))*9\/2. Let g be (3 + -3)\/x + -9. Is 1\/(g\/2) + (-99440)\/(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41\/6 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 5365\/13269 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 210 - 158. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035784?\nAnswer: 2, 43, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = j - 400 + 101 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004523571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -7 + 2. Let g be ((-1)\/3)\/((-68)\/(-8)). Is g != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {o: 10, s: 9, c: 1}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44513641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*1*4\/(-20). Let t = 4.23 + -1.23. Put b, -0.1, t in decreasing order.\nAnswer: t, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-98)*(64736\/(-34))\/(-68)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:57 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 - 1.25. Let q(x) = 6*x**2 + 3*x - 1. Let u be q(3). Let v = 247\/4 - u. Which is bigger: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2476245 and 270901203.\nAnswer: 1354506015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 477963 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 19*o**5\/5 - 11*o**4\/3 + 5*o - 89. Let i(h) be the first derivative of a(h). Find the third derivative of i(p) wrt p.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**3 + 18*n**3 - 1160*n + 1173*n - 2*n**3 in the form d*n**2 + o*n + q*n**3 + y and give q.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - ((-14)\/(-63) - (-64)\/36). Let t(f) = f - 2. Determine t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*h + 7, 4*h - 11 = -0*u + 3*u. Suppose -s - z - 2938 = -6*s, -h*s + z + 1174 = 0. Suppose 6*k + s = 3570. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 2854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**4 + 0*h**4 + 4*h**4)*(6 + 2 - 4 + (-2 + 1 + 2)*(51 - 117 - 73)).\nAnswer: 270*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(192) + 1*sqrt(192)) + sqrt(192))\/sqrt(8))\/(sqrt(288)*-1*-2).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, m: 3, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 4. Let g(l) = -2*l + 7. Let w(f) = 6*g(f) + 11*u(f). Let x be w(-3). Is -2\/7 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 2. Let p be o(5). Suppose -5*w + 40 = -0*w. Let i be (-12 - -1)*(-74 + 60310\/814). Sort w, i, p.\nAnswer: i, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13157 - 68157. What is w rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72638 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 443 + -252014?\nAnswer: -251131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-6)\/f*f*f\/(f*f*f\/f**4*f))\/(f\/f**(2\/7)*f\/(f*f\/(f\/f**0))))**(-2\/11) assuming f is positive.\nAnswer: f**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -5, 1\/79, 0.68?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14)\/7)\/(6\/(216\/15)) - -5. Let m = 7 - 5. Which is the biggest value? (a) -1\/2 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, n: 6, k: 3, y: 4}. What is prob of picking 2 k?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08422471321784 plus -2?\nAnswer: -2.08422471321784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10622\/861 - -252\/41. Are -7 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19859061 to the nearest integer?\nAnswer: 4456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 p when four letters picked without replacement from gbgpbgbbgp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3, 26*g - 10*g + 4*c = 19*g + 2*c - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5514*k**4 - 5919*k - 314394*k**3 + 314394*k**3 + 336*k wrt k.\nAnswer: 66168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12336*a**3*i - 111*a**3 + 4*a**2 - 1 wrt i.\nAnswer: -12336*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 44. Let y be 21\/3 - t - 2. Let v(s) = 2*s - 11. Let z be v(8). Solve 3*d = -y*r, -3*r + 8 = z*d - 0*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 479384 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3240558ns to seconds.\nAnswer: 0.0000000003240558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*-2*sqrt(19) - 6*sqrt(171)) + 0)**2.\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3767*b**3 - 3268*b**3 + 926*b**3 + 2.\nAnswer: -6109*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.89 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (10 - 7) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + -1*sqrt(2))*-3)**2 - 2*(-1 + sqrt(50)))*-4*-3.\nAnswer: -1200*sqrt(2) + 2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20468 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 13) + -1 + 1 + 5. Factor -12*x**3 - 1866 + 4*x**m - 16*x**2 + 1866.\nAnswer: 4*x**2*(x - 4)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*1 + 3 - (4 + sqrt(245) + 2)) + ((-4 + sqrt(245) + 1 + sqrt(245))**2 - (5 + 3*sqrt(245))).\nAnswer: -105*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 49*k**2 + 95*k - 41. What is z(47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358059293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443298?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -16. What is the second derivative of -n*b**4 - b + 3*b + 7*b wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -56. Let j = 19 - o. Let v = 20 + -79\/4. Which is the nearest to j? (a) -0.5 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -2306\/581?\nAnswer: -2306\/581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = h - 6. Suppose -123 - 5 = -t. Calculate the greatest common divisor of t and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-483))\/((-2)\/6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71485647 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*i = -90, 119 = 5*z - 2*i + 23. Calculate the lowest common multiple of 8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/136 and 77\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 23256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(312) + sqrt(312)*-2)\/sqrt(8))\/(-3*sqrt(108)\/sqrt(4)))**2.\nAnswer: 325\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.43574031 - -0.5.\nAnswer: -1.93574031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 20212?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0, -2\/5, 4, 3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1864 - 4*v**2 + 36*v**3 + 1864 as f*v**2 + l*v + u*v**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 31 = 3*d, 4*d + x = -d - 29. Let t be (-124)\/6*(-21)\/14. Put t, 3, 1, d in ascending order.\nAnswer: d, 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 4*f**2 + 2*f - 7. Let d be k(4). Solve -8 = -4*z, d = o - z - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 87*a + 19*a - 2656 = 0. Solve 0 = 13*v - 10*v, 4*v = -4*m + a for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -z + 14, -3*z - 31 = -6*z - 5*h. What is the least common multiple of 40 and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8478.9 - -8479. Let s be 0*2\/(-8)*2. What is the nearest to b in -1\/13, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.5 + -6.50000166. Round m to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(3*6\/27))\/(6\/1)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -112 (c) -160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 10:38 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 - 7*o**5 + 2*o**5 + (-54*o + 30*o + 33*o)*(3426*o - 3426*o - 58*o**4).\nAnswer: -527*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30203078.32997 plus 3?\nAnswer: -30203075.32997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 1055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240133667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 8) in base 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*x - 2*p, 0*x - 3*p = 4*x - 15. Let v(r) = 4*r. Let n be v(x). Let q be -1 - (3\/(-3) - n). What is the greatest common divisor of q and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 834220*p**5 + 4*p**2 - p + 55353863.\nAnswer: 16684400*p**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018837609 to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 6*q**2 - q - 9. Let y be k(-6). Let h = 3 - -2. Sort -0.2, y, h in ascending order.\nAnswer: y, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 6*p + 11. Let s be x(5). Suppose o + 16581 = 4*r + s*o, 3*r - 2*o = 12407. Suppose 0 = -7*a + 13176 - r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -72. What is the tens digit of (-1)\/(-2*1\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.906 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1015\/916978 - -3\/2242. Suppose 2*n - 3 = 5*x, -5*n - 3*x = -8*x. Which is greater: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.39? (a) -2 (b) 1\/3 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 - 0.08. Let o be (1 - 2\/(-4))\/(-12). Which is the closest to 0? (a) o (b) -2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-112)*(-464)\/1740\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from mymmmmyymmhmmmyym?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-6)\/m))\/m**(1\/2))\/(m**(-1)*m)**(-33) assuming m is positive.\nAnswer: m**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31853 is divided by 204?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4292 * -0.3\nAnswer: 1287.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 463890 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 29*q - 160. Let j be a(-20). Let d(n) = 3*n**2 - 11*n - 72. What is the units digit of d(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -84.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5 - 1950*j**4 - 393057*j**3 - 21504198*j**2 + 405942816*j - 722693088 = 0?\nAnswer: -268, -129, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + 24 + -3 + 2 - 41?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-10) + 7 + 1 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/281073567?\nAnswer: -2\/281073567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -4 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81333 divided by 477?\nAnswer: -9037\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 5*q = -4. Suppose q*k + 10 = 36. Let i = k - 0. Is 13 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*i - 2, -q - 2*q - 2*i + 5 = 0. Solve 4*v + 1 = -q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 140 = -2. Let m = -67 - j. Solve 0 = m*d - d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1049 + -1024. Solve -u = 5*f - 5*y, 20*f = 18*f - 3*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1873*4.\nAnswer: -7492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, l: 1}. Give prob of picking 1 b and 1 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*o + 3*o + 0*o)*(12*o - 12*o - 7*o) - 2*o + 2*o - o**2)*(-15*o**3 - 2*o**3 + 0*o**3).\nAnswer: -102*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 9:30 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n - 34. Give x(-13).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g - 5. What are the prime factors of w(-6)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 4*v - 19. Let a be b(3). What is the third derivative of 144*d**a - 80*d**4 + 116*d**2 + 234*d**2 - 649*d**2 wrt d?\nAnswer: -1920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2104 and 11273758?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8170 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 12 = d. Let n be (-3 - (3 - 3))*d. Calculate the greatest common divisor of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9388744?\nAnswer: 2, 1173593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/9 or -3\/8?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 + 0*n + 83\/6*n**3 - 39*n**2 - 7\/6*n**4. Let u be q(26). Round u to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -2, 42, 2, 0.4, 659?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*(b**5*b)\/b*b*b*b*b*b)*((b\/(b\/(b\/b**(8\/3))*b))\/b)\/b)\/((b*b\/(b*b**(9\/5))*b)\/b**30) assuming b is positive.\nAnswer: b**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26 - ((-4 - 0) + 4). Suppose -h - 2*h + 4*r + g = 0, 4*h + r - 41 = 0. What is the greatest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168554?\nAnswer: 2, 71, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 5:07 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1708 = -42385*i + 42446*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/124 - 227\/868. What is the fourth smallest value in o, 2, -3\/2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 16 - 4*g**3 + 5*g**3 - 23 + 9 + 10*g**4 - 2*g**3 as y*g**2 + i + m*g**4 + z*g**3 + l*g and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:05 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 12) to base 4\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-29 - (-17 + 4)) + 8375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8978 - 8999. Sort -2, 1, -66, h, -1 in descending order.\nAnswer: 1, -1, -2, h, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 26, 4, 3 in decreasing order.\nAnswer: 26, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6)\/(7\/((-70)\/4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/((-35)\/(-20)) - -108?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d*d)\/(d**(-16)*d*d))\/((d*d*d\/(d\/(d*d**0\/d*d))*d*d)\/(d*d\/d**(-9))) assuming d is positive.\nAnswer: d**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-607550)\/(-11) - 10\/(-55) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6 + 6. Let f be 10\/b + (-2)\/4. Factor j**f - 3*j + j + j.\nAnswer: j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o - 30151 + 195238 = 0. List the prime factors of o.\nAnswer: 3, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 5376*c + 1050786.\nAnswer: -2*(c - 183)*(c + 2871)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -888*a**3 - 73290*a + 66591*a**2 + 12*a**4 - 56364*a - 9*a**4.\nAnswer: 3*a*(a - 147)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6031218?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2620 + 686 = 44*u + 17*u + 567 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 6, 0*n - n - 5*x + 96 = 0. Suppose 5*k + m - n = -0*m, 86 = 3*k - 5*m. Is (-8)\/44 + 1236\/k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 50*w**2 + 65*w - 738. What is b(-23)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0154027107 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338.83 - 336. Let h = -2.6 + k. Round h to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368505 by 1.\nAnswer: 368505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yky when three letters picked without replacement from {y: 4, r: 6, k: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 639 - 638.6. Let y be 32\/66 - (-6)\/(-9). What is the fourth smallest value in -1\/3, h, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8818, -17635, -26446, -35251, -44050, -52843?\nAnswer: -61630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 43586.\nAnswer: -22\/21793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891477 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 - 22 + 28 + 3*i + 63*i**2 + 2.\nAnswer: 79*i**2 + 3*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28 and -7671180.\nAnswer: -7671152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*k**2*p + 5*k**2 - 6051*k*p - 72574*k + 1 wrt p?\nAnswer: 98*k**2 - 6051*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89743 and 4148.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -449009355.513 and -0.3.\nAnswer: -449009355.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (36 - (25 - -26))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15485 plus 3774473.5?\nAnswer: 3758988.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34790713?\nAnswer: 34790713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1.5 (b) -1\/4 (c) -31\/4 (d) 1.9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/3 - 8*m**3\/3 - 6*m**2 - 7*m. Factor k(a).\nAnswer: -4*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 2, s: 1, c: 7}. What is prob of sequence mcmm?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/21 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 60*p - 129. What is the remainder when a(-50) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288294 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 - 3*b**3 - 2*b**3)*(2*b - 4*b + 4*b + (b + b - 6*b)*(6 - 1 - 3)).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 2. Let p be t(3). Let u = -14 - -4. Let s = u - p. Solve -s = 2*i + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17631 + -17638. Which is the second biggest value? (a) 0.1 (b) n (c) 4\/3 (d) 7 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26848 and 2153713.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j*j*j*j**(24\/5))\/j)*j)\/j)**(2\/39) assuming j is positive.\nAnswer: j**(-68\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-202)\/(-18) + -1*(-51)\/(-108).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*i + 459 = -204 + 55. Solve 32*g - 30*g = -3*x - 13, 4*g = -5*x - i for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12835, 12836, 12837, 12838?\n\"Answer: o + 12834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/8 + 60279*l**4\/8 - 120555*l**3\/8 + 60277*l**2\/8 = 0. What is l?\nAnswer: 0, 1, 60277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1280 - 643 + 118*i + 168*i - 109*i - 644 as a*i + f and give a.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2861, 11450, 25757, 45776, 71501, 102926?\n\"Answer: -a**3 + 2865*a**2 + a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43467098*q**4 + 7772227 wrt q?\nAnswer: -173868392*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199376161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.72 - 4150274.\nAnswer: -4150195.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/864 and -127\/216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 23*o - 54. Determine p(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -105. Suppose o*n = n + 1062. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 12*l - a - 15, -4*l = -a + 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -16. Let q be 37\/7 - 4\/m. Suppose 6*p + p - 42 = 0. Let l(b) = 6*b**2 + 3*b - 5. Let t(o) = -7*o**2 - 4*o + 6. Determine p*l(j) + q*t(j).\nAnswer: j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/4 + (-7 - (0 - 2)). Solve 2*h - h + 4 = v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {m: 3, u: 1, k: 5, x: 3, q: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 - 21*x**2 + 20*x - 14. Determine s(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + 7027\nAnswer: 7027.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**5\/15 - 26*j**4\/15 + 266*j**3\/15 + 3482*j**2\/15 + 2024*j\/5 + 192 = 0.\nAnswer: -15, -8, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -1, 3, -74 in descending order.\nAnswer: 6, 3, 1, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 303978*q - 22. Let o be z(-1). What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -94. Calculate the remainder when 195 is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4 + 44*d**3\/3 - 70*d**2 + 100*d - 39. Factor q(k).\nAnswer: -4*(k - 5)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.389 rounded to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 6 + o + o**2 - 11*o**2 + o**3. Let f be c(10). Suppose 4*y = 2*q - 50, 0 = -2*q + q - y + 13. What is the greatest common factor of q and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -54862?\nAnswer: 5\/54862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - s = 3 - 61, 2*s - 32 = -3*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-270)*-3*((-72)\/(-30) - (-44568)\/(-18120))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fflj when four letters picked without replacement from zeflzffjf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - 127. Let a be 24\/27*9\/k*1. Let y = -1831\/9 - -203. Sort -0.2, a, y.\nAnswer: a, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40.455 and 34.7.\nAnswer: 1403.7885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156.029 - 0.529. Let d = -155 + l. What is the closest to 1\/7 in 3, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**23\/(c**(-7)\/c)*(c**(-1\/3))**20 assuming c is positive.\nAnswer: c**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 10:46 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/6 + (-3)\/18. Differentiate -l - 13*l - a - 8 - 7*l with respect to l.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*(sqrt(189)*-1*4)\/sqrt(3))**2*-1 + 1)*-2.\nAnswer: 40310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 7:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v = 40*v + 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**5\/20 - w**4\/3 + w**3\/2 + w**2\/2 + 4*w. Let k be b(3). Sort -3, 4, k.\nAnswer: -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-26))\/(l**(-2\/15)*l))**(1\/29))**(-9\/8) assuming l is positive.\nAnswer: l**(291\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*c - 6, -r = -2*r - c - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*h - 2, h + 2*a = -2*a + 18. Is 81486\/126 + h\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*o + 6, -5*o = 2*q - 4 + 3. Let l(i) = 4*i + 4 - 4. What is the remainder when l(1) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24595162*a**4 + 21806092*a**2.\nAnswer: -590283888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 36571260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-32) - (-19)\/8. Suppose -4*h + 3*h + 211 = 4*o, 58 = o + w*h. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -3.5. Let j = z - 25.500000064. Round j to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 - 5*f - 4. Let q(d) = -9*d - 2. Suppose -9*t + 2*t - 7 = 0. Let a be q(t). Suppose m + 3 - a = 0. Calculate v(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - o + 7833 = 0, -5*o - 164 = -169. List the prime factors of s.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 118, 235, 352, 469, 586, 703?\n\"Answer: 117*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*q**6 + 54*q**5 - 2*q**6 - 39*q**6 - 54*q**5 + 17*q**2 wrt q.\nAnswer: -9000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 573 - -5?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.4, -2\/15, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535207 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let j(t) = 13558043*t**2. Calculate a(j(x)).\nAnswer: -13558043*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 3, -14\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116430084*d**5 - 90953041*d**2?\nAnswer: 6985805040*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/9657 and -9\/812?\nAnswer: 270396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Let f(b) = -b + 1. Let i(v) = -7. Let h(k) = 2*f(k) + i(k). Let l be h(-3). Sort l, 0, o.\nAnswer: 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -5. Suppose 0 = 3*a - 2*a - 1. Is a at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 - 2*y**2 - 36. Factor l(d).\nAnswer: -d*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from nlgllllll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 913137996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2*f**4 + 0*f**4 - f - 1 - 3*f**2 + 9. Is y(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:25 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1247 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + g)*(0 - 1 + 2) + 183263*g - 183464*g - 4 + 5.\nAnswer: -200*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23074\/(-149981) - ((-3274)\/(-520) + 1) - 1\/20?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26813d - -35?\nAnswer: -268108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2666 - -2668. Let b be (-235)\/(-45) - (-4)\/(-18). Solve 28 = -2*y + b*j, o*y - 2*j + 16 = -0*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 + 9 + -14 + 9 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, 3\/8, 3, 2\/25, -5 in decreasing order.\nAnswer: 3, 3\/8, 2\/25, -0.38, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -1\/4*l**4 + 4\/3*l**3 + 0*l + 7 + 5\/2*l**2. Let i be a(4). Calculate the greatest common divisor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/60 - 13*j**2 - j. Let z(w) = -4*w**2 - 1. What is z(v(t))?\nAnswer: -4*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1300 divided by 52\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/84 + (-1239)\/5782.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 5 - l + 0*l. Let t = -120 - -116. Give i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.35. Let y = -4.05 - v. Put -2\/13, y, -2 in descending order.\nAnswer: -2\/13, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -137.\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3*a**4\/4 + 4*a**3 + a**2\/2 + 4*a - 1202. Calculate i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + b - 21 + 0.\nAnswer: 2*b - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 832, 859, 886, 913?\n\"Answer: 27*y + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**2 + 5*k**2 - 2*k**2)*(3*k**2 - 3*k**2 - 3*k**2) + 16*k**4 - 2*k**4 + 5*k**4 in the form h*k**2 + i + t*k**3 + z*k**4 + f*k and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*k + 6965 = 346 - 1613 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*q + 62 = 0, 0 = -4*f + q + 54 + 36. Suppose v - 15 = 5*o, -v - o = -5 - 4. Calculate the lowest common multiple of v and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1120 - 1118. Let y(w) = -w**3 + 8*w**2 - 7*w - 2. Let c be y(7). Sort -3, c, t, 3 in ascending order.\nAnswer: -3, c, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*p - 1. Let r be 1\/p*28\/(-7). Let l(g) = -r*g**3 - 8*g - g + 4*g + 5. Let x(u) = 3*u**3 + 9*u - 9. Calculate -9*l(s) - 5*x(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by 70\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 14*r**3 + 208 - 278 + 27.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042483 to five dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -2. Suppose 0 = -3*c - c + 8. Solve c*u = r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6985.23 rounded to the nearest 100?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + 4*d + 11. Let c be f(5). Let i = c + -76. Let m = -53 + i. Solve 25 = -5*t - v, 17 = m*t - 8*v + 3*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-8 - (11 - (4 + 10)) - 6) - 92?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerooeeere. What is prob of picking 3 r?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17057499 and 33.\nAnswer: 187632489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*t - 464*t - 118*t + 11176 = 0. Suppose -4*w - 3*j = -0*w - 3250, 5*j = 3*w - 2452. Calculate the greatest common factor of t and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11250\/13 (b) -5 (c) -2 (d) -81\/101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/(z\/z**0*z)))**(3\/5)*(z*(z*z**13)\/z*z*z)\/z**(-2\/19) assuming z is positive.\nAnswer: z**(1758\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 855682?\nAnswer: 855686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423611 divided by -47.\nAnswer: -9013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(0 - 1 - 3)*(-45 + 45 - y**4 - 18*y**2) in the form m + p*y**3 + i*y + w*y**4 + s*y**2 and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 5*y. Let w(a) = 2*a**2 + 5*a. Let j be (-5 - -7)*(-1 - 0). Let d(k) = j*p(k) - 3*w(k). What is the second derivative of d(i) wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 + -156.15. Let x = c - 0.85. Let m(j) = -j**2 - 4*j - 4. Let t be m(-4). What is the third biggest value in t, -2\/17, -0.1, x?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*z**2 + 13*z**2 + 9*z**2)*(-2 + 6 - 2) - 2 + 2*z**2 + 2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*558\/496*(-8)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.313143195969287 - 4.\nAnswer: -3.686856804030713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10770791 + 10770790.80000038. Let c = -0.2 - b. Round c to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7331 is divided by 387.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 12*q = 280. Solve 0 = -18*y + q*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s. Let c(j) = -j**2 - 9*j - 2. Let w be c(-8). Let t be 2 - 1\/2*-26. Let x be 2 - t\/3 - 1. Let i(r) = -3*r. What is w*i(q) + x*h(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 2, 19, 54, 113, 202, 327?\n\"Answer: q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/33 - 13\/165. What is the biggest value in 1\/6, -1\/3, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {b: 2, q: 9, w: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5)*-1 - (4 + sqrt(5) + sqrt(20)\/sqrt(4))) + 0.\nAnswer: -5*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161\/9 - 18. What is the nearest to -0.1 in 1, 2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 2*l + 3379666 - 3379729 - 2*l**3 + 2*l**2 to x*l**3 + v*l**2 + i*l + f and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*i - 95, -4*i + 5 = 1. Solve -o + 114 = 6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652, 1270, 1878, 2398, 2752, 2862, 2650, 2038?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/120 - 11*d**5\/30 - 11*d**4\/12 - 10*d**3\/3 - 7*d**2. Let y be n(-21). Put 5, y, 12 in decreasing order.\nAnswer: 12, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193 + 63 - 404 - 202)*(4*u + 0*u - 2*u)*(u - 3*u + u)*(26 - 9*u - 26).\nAnswer: -13248*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 181*t**2\/2 - 4*t - 1448.\nAnswer: (t - 4)*(t + 4)*(t + 362)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249012 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10405850 and 173810.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j - 1. Suppose -q + 1 + 4 = 0. Suppose -a - 11 - 7 = -4*o, -q*a - o = -15. Give g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22120100102 (base 3) to base 6.\nAnswer: -3340445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4091 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2)\/((-12)\/(-80)). Let u be (-3)\/(-1)*1 + n. Suppose 0 = u*g - 5*g - 448. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 8744*h - 17486*h - 6*h**2 + 9 + 8742*h.\nAnswer: -4*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4013730 and 805.\nAnswer: 4013730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 3:03 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -218154100*a**3 - 94648606*a**2?\nAnswer: -1308924600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/226)\/(125\/(7000\/(-168)))?\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**4 + 4*v**3 + 3*v**2 - 4*v - 6. Let b(j) = -j**4 - 1. Let l(t) = 2*b(t) - u(t). Factor l(w).\nAnswer: -(w - 1)*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-2 - -21) + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1828 and 27292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334566 = -26*z - 92*z + 729794. Is z a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -33, 109 in decreasing order.\nAnswer: 109, 3, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -5, -0.27 in ascending order.\nAnswer: -5, -2, -0.27, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgjkgss. Give prob of picking 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 4, l: 2, p: 1, v: 1}. What is prob of sequence gggg?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (-1 + 29 - (325 - 317))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/3 + 1544*v**3\/3 - 311564*v**2\/3 + 1746264*v - 7674966 = 0.\nAnswer: 9, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 885216*a + 2 - 4 - 18484*a.\nAnswer: 866732*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8\/12)\/(20\/(-102)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q - 25 + 6*q + 5*q + q - 13*q. Determine t(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -1. Let l be (-1 - (-18)\/14)\/((-8)\/(-56)). Suppose 25 = n*q + l*q. Put q, -2, 2 in increasing order.\nAnswer: -2, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, 5, 230.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from rrrcrmrrrrrrrrrrrr.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113 and 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3213055?\nAnswer: 5, 29, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*d**5 - 16*d + d**5 + 3*d**5 - 15*d**5 wrt d?\nAnswer: -460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187424270, -187424268, -187424266, -187424264, -187424262, -187424260?\nAnswer: -187424258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 3. Let x = 36 - n. Let d = x - 28. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - g**2 + (-6*g - 28*g - 12*g)*(-4 + g + 4) + 2*g**2 + 0 + 0 + 3 - 3 + g**2.\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2*303\/(-6). Let i = x + -25. What is the biggest value in -3, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Solve 3 = -3*g, -4*p - p - 2 = -r*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*n + 6 = -3, 2*n = -2*x + 6. Suppose -k + u + 4 = 0, k - 2*u - 2*u - 7 = x. Calculate the least common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, n: 13}. Give prob of picking 3 y.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/4)\/((-6)\/(-24)). Let x = -361 + 647. Let q = -284 + x. What is the highest common divisor of n and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -93 - 70 + 158. Suppose 5*g - 26 = -6. Let q be 1\/3 - 4\/12. Solve q = -2*u + 2, g*a - c = 5*u + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 5 (b) -0.5 (c) -32 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*t + 12*t**2 + 2*t**3 + 51*t + 49*t wrt t?\nAnswer: 12*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7276892 by -542.\nAnswer: -13426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76104, -152203, -228300, -304395, -380488, -456579, -532668?\nAnswer: -608755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7046052 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19452277\/168 - 115788. Let o = -5\/24 - r. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**3 - 11*a**2 - 4*a + 5. Let w = -17223 + 17221. Let b(m) = -3*m**3 + 5*m**2 + 2*m - 2. Calculate w*g(u) - 5*b(u).\nAnswer: u**3 - 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/2)*g)**6*g**(2\/9)*g*g*g*g*g**(3\/8))\/(g\/g**5*g\/(g**6*g*g)*((g*g**2)\/g*g)**(-46)) assuming g is positive.\nAnswer: g**(11707\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 6 (c) -2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 2587?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = -20. Suppose x*n - 6*n = -4. Suppose 3*f - 56 = -n*v, -4*f + v = -v - 56. What is the lowest common multiple of f and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((4 - 4) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -339, -341, -343?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydqqdquggd. Give prob of picking 1 y, 2 q, and 1 d.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17151, 5, -37?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 388038.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/24 - -5\/3. Let n(x) be the second derivative of i*x**2 + 343\/20*x**5 + 2401\/120*x**6 + 0 + 7\/6*x**3 + 49\/8*x**4 - x. Factor n(z).\nAnswer: (7*z + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) -0.2 (c) -10\/689 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 >= 2398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*k + 4 = -2, 5*b = -4*k + 27. Suppose -6*q = -b*q - 873. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 22*g + 23. Let w be o(10). What is the second derivative of -w*k - 2*k + 0*k**2 + 24*k**2 + 0*k wrt k?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-342)\/(-21) + -12)\/((-356)\/(-168) + -2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1942 and 5\/16507.\nAnswer: 33014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 - -46?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 5*l**2 + 2*l + 4. Let t(i) = -i**2 - 1. Let a(d) = -d**3 - 10*d**2 - 1. Let b be a(-10). What is b*y(x) - 4*t(x)?\nAnswer: -2*x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 19*t. Let a be (t + 66)*-3*(-1)\/(-4). Which is smaller: -50 or a?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**2\/3 + 88*q\/9 - 8\/9.\nAnswer: -2*(q - 2)*(21*q - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1504456.\nAnswer: 6017824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w, 4*g + 8 = -4*w. Let v be ((-4)\/5)\/(g\/5). Suppose -2*z + 38 = -3*u + v, -4*u = 5*z - 44. What is the highest common factor of 84 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 332 = -83. Let m = u + 163\/2. What is the third smallest value in -5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041785724 to 5 decimal places.\nAnswer: -0.00418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + o + 63572 - 160602 = 0, -2*x + 2*o + 64700 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-21) + (-160)\/240.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -8 + 170. List the prime factors of (-2)\/(4\/3)*10908\/h.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*z - z - 57, 0 = 5*d - 2*z - 62. Let p be d\/9*9\/2. Calculate the greatest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 351*l**5 + 6401*l**4 - 7464402*l**2?\nAnswer: 21060*l**2 + 153624*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47069743085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27*(-276)\/(-143451))\/(4\/(-14))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2 + 45*c - 126 = 0.\nAnswer: 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/23)*x)\/(x**(3\/5)*x))**(-2\/125) assuming x is positive.\nAnswer: x**(-112\/14375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -86. Let k(x) = x**2 + 1. Calculate the least common multiple of (-3 - -4 - 4)*w\/6 and k(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 42147255 divided by 13?\nAnswer: 42147255\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3250035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 0, 2, 2041, 4 in descending order.\nAnswer: 2041, 5, 4, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*u = -9, -u - u + 1 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c - 10. Let w be 3\/(44\/16*24\/44) + 1. Sort c, 2, w.\nAnswer: c, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (324 + 2\/1)\/2.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5329766 and 463927.\nAnswer: 229179938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203 times 0.14?\nAnswer: -0.02842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1314\/19, -0.4 in increasing order.\nAnswer: -0.4, 0.5, 1314\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r = -195 - 45. Is r > 108\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 463 and 914345364?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526986758 to the nearest integer?\nAnswer: 22956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.9, -5, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 5 - (-188 + 176)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1379955\/24)\/5 - (-9)\/24. What is q rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 4*h - 4. Let y(r) = 4*r**2 - 9*r - 8. Calculate -13*s(x) + 6*y(x).\nAnswer: -2*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(-8)\/(-50). Let t = -3.5 - -1.5. Which is the biggest value? (a) -0.1 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 18, -11, -66, -153?\n\"Answer: -h**3 - 4*h**2 + 10*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 69 = 137. Let n be (-94)\/(-4) + (q\/2)\/17. Calculate the greatest common factor of n and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 + -156.6. Let p = 18 + k. Sort 4, 0, p in ascending order.\nAnswer: 0, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*j + 438*j + 49 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 5. Let m(z) = -4*z + 3. Let d be m(-3). Let u = v + d. 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: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11115310150 - 0?\nAnswer: -11115310150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -2, 0, 119079 in ascending order.\nAnswer: -4, -2, 0, 5, 119079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 8*p - 13. Let j be w(-5). Suppose 0 = -6*s - 46 - j. Does 5 divide ((15\/(-2))\/(-3))\/(s\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 6. Let x be v(-6). Suppose -2*l + 6*l - 16 = x. Suppose -l*o + 221 = 41. What is the highest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 19. Let a(z) = -4 + 4 - 4*z + o*z. Let q(t) = 4*t**2 - 2*t**2 + 5*t**2. Give q(a(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 0\/(-3) - 3. Suppose x = -l*x. Let a(o) = -4*o + 0*o**3 + o**3 + 1 + o**2 + x. Determine a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 + 730 - (-21 - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 5, 13, 25, 41, 61?\n\"Answer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:51 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287343 is divided by 2588?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3136\/144)\/(-28)*-9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*d + d + 0*d)*(-26*d + 17*d - 24*d) + 1 - 1 - 3*d**2)*(-1 - 2 + 1) to h*d + x + q*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-700)*(-105)\/(-90)*(-3)\/(-6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 n, and 1 s when four letters picked without replacement from cecnnsszeczdzeneznc.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2989253 less than -2989254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-702)\/(-10) + -2 - (-12)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 7*f - 4. Let u be w(6). Let b = 2747 - 2753. Is 38 a factor of (-222)\/b + ((-6)\/(-2) - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-16))\/(10 + -7 - (105\/2)\/15)?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*i + 28 = 6*o, -5*i - 368*o - 4 = -365*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34149*h + 8 + 27153*h - 8.\nAnswer: 61302*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353860 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46*22 - (-14 + (-14 - -18)) is divided by 486?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5835 and 5.\nAnswer: 29175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u + 8. Let r = -69 - -72. Let t(l) = 5*l - 3. Let n(c) = r*o(c) + 8*t(c). What is n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 7, r: 2, h: 4, z: 1}. Give prob of picking 1 g, 1 z, and 1 a.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**3 - m**2 - 2*m - 2. Suppose -4*s - r = -5, 0 = -2*s + 2*r + 13 - 3. Suppose -5*o + 4*l - 4 = -s, -o + 5*l = 13. What is the tens digit of k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8772 and 122808?\nAnswer: 122808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 701 and 174.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800252798.\nAnswer: 2, 17, 37, 421, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 434154432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 5*o - 3. Let b = -83 - -82. Let d(y) = -5*y**2 - 6*y - 6. Let l be d(b). Determine h(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let y be d(-5). Let m = -5 - y. Suppose 7 = 4*w - m. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, s: 2}. Give prob of picking 1 w and 1 s.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5118 + 2.49. What is b rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 11:37 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -6, 44, 2.\nAnswer: -11, -6, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126769889 + 126769889 + 103*j - 7*j**3.\nAnswer: -7*j**3 + 103*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -10149\/29 (b) -34 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = a, 0 = 4*a + 11 + 1. Differentiate 0 - 1 + 3 - l*o**3 wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 7\/4, 0.4, 16?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*m - 10, 3*r - r = -2*m - 4. Let v = r - 2. Which is smaller: v or 1\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 6\/17, 0.5, -3, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109367.88 rounded to the nearest 100?\nAnswer: -109400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10636, 42992, 97066, 172858, 270368?\nAnswer: 389596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 - -0.7. Let n = -171 + 1883\/11. Put n, -0.27, q in decreasing order.\nAnswer: n, -0.27, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 5)*(3 + 2*j**3 - 3) - 521*j**2 + 33*j**3 + 521*j**2 to b + g*j**2 + m*j + n*j**3 and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2) + (-168)\/(-14). Let i = 191\/18 - m. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.03, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464004 is divided by 463986?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 2*a + m, 20*m = 70*a - 65*a + 14*m - 65 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255800115 divided by 5361.\nAnswer: -47715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r)**50)**27 assuming r is positive.\nAnswer: r**5400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 83*k - 1. Let o(p) = -245*p + 2. What is 7*l(r) + 2*o(r)?\nAnswer: 91*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -670 or -673?\nAnswer: -673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28.1 + -27.6. Let o = 0.05 - 0.35. Which is the second biggest value? (a) o (b) v (c) 0 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let w(k) = -23*k**2 + 4*k. Let i(x) = -4*j(x) + w(x). What is the second derivative of i(h) wrt h?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 + -60764?\nAnswer: -60616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/56 - 26\/(-42). Which is the closest to 0.1? (a) 0.3 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17207, -5, -7 in descending order.\nAnswer: 17207, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2219 + 2222. Let q(f) = 11*f**2 - f. Let o(p) = 5*p**2. Let y(t) = 13*o(t) - 6*q(t). Give y(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 4 - (-1223)\/(-2916). Let o = s - -2\/729. Find the common denominator of o and (-1130)\/(-8)*6\/75.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 36*c - 650 = 38*c, 3*v = -3*c + 492. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6456 (base 7) to base 5.\nAnswer: -33140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-9) + 26\/24 + 0. Determine g so that 1\/2 + 9\/4*g**2 + 1\/4*g**4 + t*g + 5\/4*g**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-308)*11)\/(6*(-7)\/1540).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 7*t - 3. Let f(i) = -i**2 + i + 1. Let h = -1395 + 1396. Let q be (-1 + 2)*(-18)\/(-6). Calculate h*u(m) + q*f(m).\nAnswer: m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/((-45)\/(-3))). Solve -3*h**4 - b*h + h**4 + 6*h**2 + h = 0 for h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137 - -169. Suppose 0 = -v + k + 3168, -v + 31*k - j*k = -3158. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.2 and -0.5.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1938)\/494 - (-1)\/(-13))\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, 117, 373, 721, 1155, 1669, 2257, 2913?\nAnswer: 3631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Suppose 3*h - 2*l = 2*l + 6, s*h - 8 = 3*l. Suppose -8 = h*y - 26. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(28) + sqrt(84)\/sqrt(3) + 4 + sqrt(28) - sqrt(28) - sqrt(28)) + 4 + 4*(-4 + (sqrt(28) - sqrt(56)\/sqrt(2))))**2.\nAnswer: -368 + 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + 3 + 6*-3*1*sqrt(1900) + 2)**2*6.\nAnswer: -15120*sqrt(19) + 3693897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 106*d - 9. Let c(n) = -n + 1. Let p(s) = a(s) - 2*c(s). Let f be p(2). Suppose -3*v + 41 = -f. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-9 - -19) - -16) + -60?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -2.8 (c) -2\/25 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.27 + -2.48. Let b = -0.09 + p. Let z = b + 1.2999856. What is z rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28661 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15101 * -0.06\nAnswer: -906.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o*o**3\/o*o)\/o)\/o)**13 assuming o is positive.\nAnswer: o**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose 2*b = i*x + 357, 0 = 5*b + 4*x - 665 - 239. Suppose -4*o = -9*o + b. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (-33 - -31).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + (sqrt(684) - (sqrt(684) - sqrt(684)*1))**2 - ((sqrt(684) - (-2*sqrt(684) + sqrt(684))) + 2)).\nAnswer: -12*sqrt(19) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 40. Let c be b(-11). Let h be (-5 + 130\/20)\/((-6)\/c). Let r(j) = 2*j**3 - j**2 + j - 1. Give r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35569*j + 9256*j - 17539*j.\nAnswer: 27286*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 11*o + 12. Let w be j(-7). Let l = -13 - w. Let s be 2\/10 + (-372)\/(-15). Solve 2*d + s = -l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169697068 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16833392.7 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 546.635\nAnswer: 6012.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-9))\/(-2) - (-1)\/(-3). Let w be 0 + n + -3 + 2 + 0. Solve 0 = -3*l + 4*b - 3, w = 2*l - 6*l - 4*b - 32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/24)\/(15\/20).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 49. Solve a - 22 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + 5*j. Let u be q(4). Find the third derivative of s**2 + 4*s**3 + 3*s**2 - s**2 - u*s**2 wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = 4*p, 5*z + 3*p = -0*z + 59. Let u = z + -7. Solve 8 = u*a - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:17 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 4*j + 4. Give v(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 3*c + 7*c)*(14*c**3 + 5*c**3 - 81*c**3 - 42*c**3 - 12*c**3)*(-4 + 5 + 3).\nAnswer: -1392*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(27) + sqrt(972) + -3 + 3)**2*-2.\nAnswer: -2718 - 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0*b**3 - 4*b**2 + 0*b**3 - 5*b**2 - 8*b + b**3 - 2. Let h be x(10). What is the tens digit of 59\/6 + 3\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddsds. What is prob of picking 2 s and 2 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -180 + 198. Which is smaller: w or 118\/7?\nAnswer: 118\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.006 - -2.994. Suppose 0*q = -q + 2. Let s = 0.1 - -0.1. Which is the nearest to s? (a) -0.1 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*o**2 + 3*o**3 + 21*o**2 - 44*o + 46*o.\nAnswer: 3*o**3 - 44*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5363 = -1444*y - 813*y + 73632 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 3, 3547, -0.0908 in decreasing order.\nAnswer: 3547, 3, -0.0908, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-32))\/(3\/(-5)*4\/12)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 17*z**2 + 4*z + 449. Let n(j) = 20*j**2 + 5*j + 445. What is -6*k(o) + 5*n(o)?\nAnswer: -2*o**2 + o - 469","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1048313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 - (-284)\/(-935). Let p = 14\/17 - c. Calculate the common denominator of 6\/7 and p.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 51072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = -2. Let k = -6 + 5.6. Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5635*x + 84807 = -439248 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.356 and 274.\nAnswer: 273.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 0*o**4 + 0*o - 8 + 0*o**6 + 0*o**5 - 5*o**3 + 0*o**2 + 2\/7*o**7. What is the third derivative of s(x) wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-6)\/8) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725 divided by 5?\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -754\nAnswer: 1\/754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - m**2 + 7*m + 1. Let h(p) = -3*p**3 - 8*p - 1. Let v(q) = 3*h(q) + 4*z(q). Let g be v(-5). List the prime factors of 4\/g*(11 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*l = 3*l, 4*w - 4*l = 24. Let h be ((-20)\/(-12))\/(w\/(-18)). Let b(j) = 5*j + 6. Let r(y) = -6*y - 5. Determine h*r(v) - 5*b(v).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y - 2. Let x be z(0). Suppose -3*h - 167 = -q, -h - 4*q = 4*h + 284. Let f = -838\/15 - h. Put f, 7, x in decreasing order.\nAnswer: 7, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwwjmjwydydwwqddy. Give prob of picking 1 w and 1 d.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1.8471?\nAnswer: 2.3471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + -126. Let s(k) be the first derivative of 0*k**6 + 1\/7*k**7 + 0*k**4 - 4 + 0*k**w + 0*k**5 + k**3 + 0*k. Find the third derivative of s(q) wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*f + 35. Let g = 307 - 196. Suppose -c - 4*c = 2*d - g, 3*d = -5*c + 179. What is the remainder when d is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2472 + -2425 + (-2 - 38)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131, 125, 119?\n\"Answer: -6*l + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1621, 1550, 1357, 982, 365, -554, -1835?\n\"Answer: -10*f**3 - f**2 + 2*f + 1630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13537689749\/1020 - 13272247. Let s = m + 23\/60. Find the common denominator of s and 10\/119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -228c + 23e?\nAnswer: -204e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 2, i: 4, g: 1, y: 2}. Give prob of picking 1 y and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 + 4 = 0. Suppose 1 = -l + m. Let z be 6\/21 + 204\/21. Solve -5*o = i - 3*i + z, -l*o + 2*i = 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17*z + 2. Let t(j) = 16*j + 1. Let k(l) = -3*h(l) + 4*t(l). Let i be k(-7). Let p = -94 - i. Is 5\/3 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 99\/60 - (-10)\/(-25). Let z = 7 - 2. Which is the biggest value? (a) 4 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)*1*5\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -25*d + 29*d - 9*d + 9. Let k be n(-3). Which is bigger: k or 22?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = 5. Find the second derivative of 0*l**t + 33*l**4 + l**2 - 368*l + 326*l wrt l.\nAnswer: 396*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163998 or -164001?\nAnswer: -163998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(15\/(-6)) + -3. Put -7, y, 0, 2 in ascending order.\nAnswer: -7, y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - -5) + (-3 - -10 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 2, u: 1, x: 1, z: 1, j: 1}. What is prob of sequence jf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 885 = 76*k - 465 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 2\/3 (c) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 50960*g + 1788. What are the prime factors of k(1)?\nAnswer: 2, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*n + 588*n + 453*n - 85734 = 0 for n.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 0. Let k = 0.022 - 13.322. Let d = k - -8.3. Which is the second biggest value? (a) 3\/5 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 10*j**2 + j - 9. Let n be r(10). Suppose 3 = -5*s - 4*d - 1, n = -2*s - d. Solve s*c - 3*c - 5*a - 6 = 0, -2*c = 3*a + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2) + (-1526)\/(-7) + -2. Let x = -3298\/15 + d. What is the nearest to 2 in 5, -4\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 949 = -1061. What are the prime factors of i?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 - 83 - 51) + (90 - (3 + -4))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 4:28 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 21345. Let s(n) = -8*n + 66. What is i(s(g))?\nAnswer: 16*g + 21213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*2*sqrt(704)*2)**2.\nAnswer: 901120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 357*g**2 + 1868*g + 21007. Give d(-362).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t + 72. Give l(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 833009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 22. Calculate the remainder when d(8) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -565 + 8833. Is 78 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-35)\/(m**9\/(m**3\/m)) assuming m is positive.\nAnswer: m**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5717*n**3 + 10*n**2 + 67*n - 312. Let p be r(13). What is p rounded to the nearest 100000?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1812 = -7*y + 2*y, -5*y + 1812 = -2*u. Let h = u + 1547. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 129395856*a - 367693681.\nAnswer: 3*a**2 + 129395856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092344 rounded to 3 decimal places?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241691.\nAnswer: 241691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340621 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90988 + 90988.000108413. What is g rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + (7 - 1) + 1 + (-50 - -26)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.962 - 60.762. Let h be (0 - 2\/11)*-3. What is the third biggest value in 3, v, h, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h + 37*h + 27*h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -2 - (1 - 2 - 15).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*k + 265, -2*p - 3*p + 259 = 3*k. What is the greatest common factor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6295*a**2 + 3122*a**2 + 3068*a**2 as q*a + y + c*a**2 and give c.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (861\/630 + (-4)\/(-30))*-8. Let n(s) = s**2 - 9*s - 252. Let z be n(w). Suppose 1\/5*f**5 + z*f + 0 - 11\/5*f**4 - 5*f**2 + 7*f**3 = 0. What is f?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 40, 3, -5, 1, 4 in descending order.\nAnswer: 67, 40, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2006? (a) -23 (b) 1 (c) -3\/7 (d) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 2*sqrt(13) + -4) - (-3 + (2 + sqrt(52)\/sqrt(4) - sqrt(52)\/sqrt(64))).\nAnswer: -39 + 37*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-130) + 2625\/325. Let o(w) = 7*w**3 - 5*w**2 + 25*w - 4. Let k(b) = 11*b**3 - 8*b**2 + 37*b - 6. Give a*o(n) - 5*k(n).\nAnswer: n**3 + 15*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-62 + 6 - 5) - 14?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/320344 or 1?\nAnswer: -5\/320344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17905544 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7054?\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2967, -2938, -2889, -2808, -2683, -2502, -2253, -1924?\nAnswer: -1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 788293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - t - 18, -2*l - 3*t + 6 - 5 = 0. Calculate the remainder when 19 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -136378590 and -136378591 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/9 + 734*u**3\/3 + 10816*u**2 + 1187360*u\/9 + 915200\/3 = 0.\nAnswer: -20, -3, 1144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 73285821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (18*-1)\/(-2)) + 10. Let q be (0 - 6\/k)*(-60)\/24. Solve -q*c - z = 18, 6*z - 3*z - 6 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 z, and 1 d when four letters picked without replacement from ccbzdzdjdz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*a - 6 = 8, 0 = -d + 4*a + 21 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/3 + 16*x**2\/3 + 20*x\/3 + 8\/3.\nAnswer: 4*(x + 1)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1231223230121?\nAnswer: 1231223230120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 974644091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -604 divided by -4\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 0. Put p, 2\/3, -0.2 in descending order.\nAnswer: 2\/3, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3377, 2080, -83, -3112?\n\"Answer: -433*n**2 + 2*n + 3808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13879855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 27071 = 99471. What is b rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**4 + b**3 + 3*b**3 + 6*b + 2 - 5*b as k*b**3 + c*b**2 + y*b**4 + r + t*b and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 115657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168.8288 - 169. Round j to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 0*a + 0*a)*(-4 - 13 + 13) + (-6 + 8 + 5)*(5*a - 4*a - 2*a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2964084 divided by -6\nAnswer: -494014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -338\nAnswer: 1\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1, -15\/11, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 15 + 33. Let i be (-46)\/m + 3*(-8)\/(-96). Solve -o + i*o = -j, 0 = -4*o + j + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*o**2 + 1 + 5*o**2 - 1 in the form g*o**2 + r + y*o and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 - -2) - -1) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*z - 2*z - 2715, -n + 526 = 3*z. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0*u + 1 + 2*u - 11*u - 11*u. Suppose -5*a = 4*b - 57, -4*b - 2*a = -0*a - 42. What is the remainder when m(-1) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)\/(2 + -1). Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 3)*(259*c - 641*c - 573*c) in the form v*c + i and give v.\nAnswer: -3820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007064 rounded to four decimal places?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 - 3)*(-4*z**3 - z + z)*(0 + 0 - 2*z) to the form t + j*z**4 + n*z**2 + i*z**3 + x*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -201 - -201.38. Let l = 0.3799882 - r. What is l rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*t - 1288*t - 3244*t - 341859 = 0 for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1404) - (sqrt(1404)*-1 - sqrt(1404))*-6 - sqrt(1404))\/(sqrt(147) - (sqrt(147) - -4*sqrt(147)*-3)))**2*-6.\nAnswer: -11232\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 >= 232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 3, o: 4, t: 3}. Give prob of sequence mr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 487.\nAnswer: -2, 0, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1033032 (base 4) to base 6.\nAnswer: -35250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*l + 5. Suppose 0 = -5*v + 6 - l. Let n = 48400 - 48390. Sort v, n, -1, 5 in descending order.\nAnswer: n, 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6419 - -11720. List the prime factors of p.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 270 - 273.94. Let k = l - 0.06. Let h = k + 4. Is 0 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 - -248. Suppose -4*l + 1892 = 4*q - 0*l, -1862 = -4*q + 2*l. Let r = -459 + q. Calculate the highest common factor of v and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11032*l = 47167 - 369970 + 86722 - 249327 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1882738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 2196*z**2 - 2184*z**2 - z**4 - 4*z**3 + 4387*z**2 in the form u*z**4 + c + y*z**3 + o*z + q*z**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 46*q**2\/7 + 348*q\/7.\nAnswer: -2*q*(q - 6)*(q + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-1)\/(55\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -202026.95 rounded to the nearest one thousand?\nAnswer: -202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 5. Let g be k(3). What is the highest common divisor of 22 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 0*a + 5\/24*a**4 + 0 + 0*a**3 + 1\/60*a**5 - 2*a**2 - 620\/3*a**6. Let b be p(-5). What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) + (-4)\/56. Let m = -139 - -283\/2. What is the closest to -0.1 in -0.2, u, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4529431574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197 by 3.\nAnswer: 197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11870 + 11865. Which is the closest to 0.5? (a) 16 (b) t (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -28997.4?\nAnswer: -14498.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1 (b) 123 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.075 - -0.029. Round b to 3 dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = 16. Suppose n = -n + z. Suppose -m + 2 = -n. 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: Let z(m) be the second derivative of 5*m**4\/12 - 10*m**3\/3 + 10*m**2 - 12*m - 16. Factor z(g).\nAnswer: 5*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9706613?\nAnswer: 7, 1386659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**3 + 83*q**2 - 9*q + 26. What is d(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180571074, 180571073, 180571086, 180571119, 180571178, 180571269, 180571398?\nAnswer: 180571571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25180, 25100, 25020, 24940?\nAnswer: 24860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 59*r**2 - 25 - 35 + 95 + 61*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8204892?\nAnswer: 2, 3, 139, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 13 = -49*g + 48*g, -4*g = r - 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -7*i + 17, 2*k + 5*i = 3 + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.44 - 29. Let u = -2.3 - t. Let k = u + -0.06. Which is the closest to -0.1? (a) -3 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:00 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 0*q**5 + 0*q**2 - 16\/3*q**3 - 5\/6*q**6 + 17 + 0*q**4 + 0*q. Find the third derivative of a(g) wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9 and -19\/1610.\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 4*d - d)*(4 + 1 - 1) + 0*d + 6 - 8 - 3*d + 3*d - 5*d + 3*d + 1 - 2*d - 1 + (-2*d + 0*d + 3*d)*(-3 + 0 + 1))*(88 + 82 - 381).\nAnswer: 422*d + 422","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose -j + f = 1. Is -2*((-158)\/4 - j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 2\/11, 5, 0.0251?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 930431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*f - 6*t, 0 = -2*f - 4*t - 6. Suppose -49 = -3*d + 2*j, f*j - 100 = -4*d - 29. Calculate the highest common divisor of 51 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -573894 bigger than -573895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 3*c + 3. Let h be w(-2). Suppose -40696*g + 48 = -40700*g. Sort 5, -3, h, g in ascending order.\nAnswer: g, -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -173\nAnswer: 5\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7846 - 7889. Put -5, m, -41, 0 in descending order.\nAnswer: 0, -5, -41, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqykyu. What is prob of picking 1 u, 1 y, 1 q, and 1 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 3461034.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + a + 2*a + 16 = 0, 3*x + 4*a = 37. Let r be (-16)\/x - (4 - 6). Let p = -25.92 - -26. What is the third smallest value in r, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:45 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*p + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 - -5. Let u = -0.710749 + 0.010749. Let k(p) = p + 4. Let s be k(0). Which is the nearest to h? (a) -0.5 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1043807*v**4 - 55996.\nAnswer: -4175228*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 484?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1315 + -579. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409640 rounded to the nearest 10000?\nAnswer: 2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 3:19 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*((-20)\/8 + 2). Suppose -1 + 5 = b*u. Suppose u*r = -5*r. Is 0 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 2*a**2 - 4*a**2 + (0 - 2*a + 0)*(-22720 + 22720 + 73*a) in the form k*a**2 + y + v*a and give k.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/2 - -99\/38. Suppose -o + 2*d + 9 = 0, -5*o - 4*d = -o + 24. Is n at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:52 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*i - 6305 = -131*i + 3615 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*t + 15 = -u, -2*u - 4*t - 18 = 0. Suppose -2*n - 3 + 13 = 0. Sort n, u, -7 in decreasing order.\nAnswer: n, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 925*o**6 + 122*o**2.\nAnswer: 111000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6\/4*-2 + (-9765)\/(-93)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4937471519\nAnswer: 4937471519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**5 + 35\/3*l**3 + 15\/4*l**4 + 36 - 75\/2*l**2 - 90*l. Factor x(d).\nAnswer: -5*(d - 3)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 209483 or 209485?\nAnswer: 209485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*x + 2*c - 4, 3*x - 5*c = 151. Suppose -3*n = x - 87. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 41\/5 + 5\/(-25). Suppose -5*o = -8*o + 9. Solve 4*u + o*f + g = -f, -u = -3*f - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g + 51. Let p be r(0). Calculate the greatest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (108\/126)\/(3\/42). Does 26 divide c\/((-2)\/(597\/(-9) + -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 39442?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.59 + 3524?\nAnswer: 3499.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443, 122, -439, -1240, -2281?\nAnswer: -3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 * -237314.\nAnswer: -12577642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*x**3 - 19*c**3*x**2 + 17*c**3*x - 18022388*c**2*x**4 - 8012*x wrt x.\nAnswer: 6*c**3 - 432537312*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 6:15 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 x when four letters picked without replacement from iiiiiiixiixixii?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11537 is divided by 122.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.018? (a) 0.3 (b) -2\/13 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let u = q - -5. Suppose 2*m + 4*w - u = -7, -3*w + 9 = 3*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = 3*u. Let s be (-14 - -13)*4 - -2*3. Sort u, -1, s, 4 in descending order.\nAnswer: 4, s, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - b + 4*b - 4, 4*j - b - 1 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12746 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(8 + (-165)\/20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 23*g + t = -8, -2*t = g + 6. Solve -g*y = -24*x + 29*x - 1, 5*y - 15 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Differentiate 2*s + 3 - s**r - 2*s wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/(o\/(o\/(((o*o**12)\/o)\/o))))\/(o\/(o**14\/o*o)))\/(o*o*o**11*o**(-6)) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 197*k + 183. Determine l(50).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) -0.1 (c) 110 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 349\/28 + 18\/63. Let q = -349\/28 + j. Factor 4\/7*y - q - 2\/7*y**2.\nAnswer: -2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 + m**2 + 2*m. Calculate p(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -3. Suppose 5*u - 12 = f. Let q(s) = -s**2 + 2*s + 2. Give q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 417.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 0.46. Let t = f + 1.7. Let g = t + -1.08999927. Round g to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-378)\/(-70)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k - 9. Let b = 1 + -8. Is 8 a factor of w(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.813695ug?\nAnswer: 0.008813695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101313421 (base 5) to base 7.\nAnswer: 3353655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1932 - -1896.14. Round o to 0 dps.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, -4\/5, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 40*m = 12. Find the third derivative of 4*n + 4*n + 108*n**5 + 4*n - n**m - 18*n - 3*n wrt n.\nAnswer: 6480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 18*u - 130, 3*y = 3*u - 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = -3. Let o be (1 - 2) + (f - (-4 - 5)). Suppose o*j = 8*j - 2*j. Solve j + 4 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2894249 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36170 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*10*(-3)\/(-6). Suppose 18 = l - 3*l. Let d(c) = 4*c + 38. Let t be d(l). Solve t = n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 1\/2*p**4 + 0 + 38*p - 8*p**3 - 61\/2*p**2 = 0?\nAnswer: -4, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55659560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58605, 234454, 527553, 937908, 1465525, 2110410, 2872569, 3752008?\n\"Answer: j**3 + 58619*j**2 - 15*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -867435, -867433, -867431, -867429, -867427?\n\"Answer: 2*b - 867437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 61*z**5\/60 + 847*z**2. Let r(f) = -f**2 - f. Give r(o(s)).\nAnswer: -3721*s**4 - 61*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439*h + 476 = 467*h. Calculate the remainder when 321 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068810.\nAnswer: 2, 3, 5, 23, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 1. Let q(a) = 80*a + 44. Let v(r) = -16*r - 9. Let f(s) = -3*q(s) - 14*v(s). Let t(l) = -11*l. Let k be t(-2). Determine k*p(m) - 4*f(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*t - 0. Let i = 1 - -1. Let d(p) = p + 2 - i. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bal when three letters picked without replacement from qrabbpl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/4 + -3)*-68. Is (-15)\/2*x\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26522*h**3 - h**2 - 4288*h.\nAnswer: 159132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -177975, -355949, -533923, -711897?\n\"Answer: -177974*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3657981.6 rounded to the nearest 10000?\nAnswer: 3660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -24. Let l = 0 - -2. Solve -4*a - i*u + 13 = -5, l*u - 8 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80\/3 - -26. Let u = 2 + -5. Let w be 1\/(-4)*12\/u. Which is the closest to f? (a) -2 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 2996\/59?\nAnswer: 2996\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -31 - (4 - (11 + -3)). Let d = c - -47. Let u(w) = -w**2 - 13*w - 7. Let n be u(-12). What is the greatest common divisor of d and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let m(y) = y**2 + 5*y - 2. Let o be m(-7). Let n be 18\/o*(-8)\/(-6). Let v(u) = -5*u**n + 3*u**2 - 1 + 1. Give c(v(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82879133 + -4.\nAnswer: -82879137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:00 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126315217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7046631 is divided by 79.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, 0.4, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaacwawaaggacgwaaa. What is prob of sequence cqag?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from {a: 2, p: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - -58 - (-8 + 5 + (0 - 8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 12:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 7:54 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/54 + (-2)\/6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 3*c**2 + 24*c - 36.\nAnswer: -3*(c - 2)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 810721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 6, i: 5, m: 3, t: 3}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-4)\/3 + 1). Suppose -x - 13 = -u. Calculate the least common multiple of u and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27 and 146553.2?\nAnswer: 146580.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 + 12210*w**2 - 37197657*w - 448131852 = 0. What is w?\nAnswer: -12, 6111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7507170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**4)**(26\/9)*(y*(y*y*y**5\/y)\/y)**(1\/38))**(-30))**(-2\/11) assuming y is positive.\nAnswer: y**(40060\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**3*w**3 - 171*u**3*w + 3*u**2*w**2 - 2*u**2 - 46297*u*w**3 - 13*u*w - 538*w**3 wrt w.\nAnswer: 18*u**3 - 277782*u - 3228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 39*i - 76. Give y(-35).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1982, 2663, 3344, 4025, 4706, 5387?\nAnswer: 6068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 1\/6*r**3 + 5\/6*r**2 + 1\/2 + 7\/6*r = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 3*w**2 + 14*w + 1. Let y(b) = 7*b**3 + 327*b**2 + 85*b + 7. Give -6*t(m) + y(m).\nAnswer: m**3 + 345*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, 5, 1, -1134622 in increasing order.\nAnswer: -1134622, -14, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 13 = 25. Suppose 2*k = v*c, 2*c - 10 = -2*k - 0*c. Factor 188*g + 20*g**4 + 15*g**k + 40*g - 5*g**5 - 240*g**2 - 120 + 32*g + 70*g**2.\nAnswer: -5*(g - 2)**3*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 102149 = -6271. Does 31 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5428141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 4\/3*w**3 + w + 0*w**2 - 1. What is the first derivative of o(h) wrt h?\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. What are the prime factors of 0 + (-2)\/k - -8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -19 - (0 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(12\/9))\/((-1026)\/1140).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 4*k + 1122. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 5*m**4 + m + (-3 - 1 + 5)*(m**4 - 4*m**4 + 2*m**4) + 3*m**4 - 3*m**4 - 5*m**4)*(-1 + 8 - 1).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 32 = -3*t, 3*t + 4*c = 4*t + 4. Suppose -t = -6*d - 0. What is the derivative of -6 - 7*b**2 + 5*b**2 - 3*b**2 + 2*b**d wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/2)*n*n**(4\/5)*n*n**(2\/3)\/n**9 assuming n is positive.\nAnswer: n**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 39. Let d = n - 49.2. Let c = 5\/46 + 149\/322. What is the third biggest value in 0, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 199318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/19)\/(2\/(-4))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2139 - -2157. Solve w*n - 60 = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/5 - (-6 + 3). Suppose 12 = 7*t - b*t. What is the second derivative of -18*c**3 - 2*c - t*c - 4*c wrt c?\nAnswer: -108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/135*6)\/1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 32*m**2 - 7*m + 8. Let y be g(1). Let o = 515 - 284. Calculate the highest common factor of y and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/9419 and -49\/134?\nAnswer: 1262146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-15 - 9) + 3 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2221 - 0?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9731 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 2*r - 41. Give p(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53895, -107903, -161911, -215919, -269927, -323935?\n\"Answer: -54008*s + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2069247 divided by 26193.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 3\/5 (b) -89 (c) 2\/11 (d) 2 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Let g be (36 - (0 + u)) + -3. Let m be g\/16 - 3 - 0. Which is the biggest value? (a) 3 (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -5*q, 6*q - 115 = -5*n + q. Let m = -1 + n. Calculate the greatest common divisor of m and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 - 3*j - 6. List the prime factors of g(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(8\/149) + 8\/32. Which is bigger: 0.3 or v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11949545 to the power of 1\/2, to the nearest integer?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i + 12098 = 9898. Solve 17*g - 22*g = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1 (c) -10347 (d) 0 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 68\/24*(-12300)\/(-20910)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Suppose b = w - 1. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 1212210?\nAnswer: 1212216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 33*p**2 - 2280*p - 119. Let s be m(-67). Which is smaller: s or 2\/323?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 85. Let y = -39 - s. Which is the second biggest value? (a) y (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)\/26*(-76 - -78)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -50*x**2. Let h(s) = 1079*s. Determine h(l(t)).\nAnswer: -53950*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.27 - 2.2. Let v = -0.47 + m. Let w = -0.1 - v. What is the nearest to w in 3, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*(c*c**1)\/c))**45)**(-2\/5)\/((c*c**(-2))**50\/(((((c*(c*(c**(-4)*c)\/c*c)\/c)\/c)\/c*c)\/c)\/(c*c*c**(-7)\/c*c))) assuming c is positive.\nAnswer: c**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299 - 289. Suppose -275155 - 151645 = g*v. What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16046*o - 449290. What is w(28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 12. Suppose 16 = j + g*j. Solve -5*l = j*q - 7, -4*l = -3*q + 10 + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*s - 2492 + 77 = 943. Let v(z) = -z**3 + 23*z**2 + 3*z - 24. Calculate v(s).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 15*m + 28. Let d be q(-1). Solve 9*a + 4*a = d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 63*n + 19. Let a be c(4). Let q = a + -268. Solve -3*w + 2*s = 3*s - 1, -3 = -4*w - q*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i - 2. Let j = -1934 - -1937. Let s(o) = -o - 2. Give j*s(v) - 2*t(v).\nAnswer: -2*v**3 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*l + 28, 5*l - 21 = 4*f - 57. Solve -f*h + 23 - 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*w + 10. Let a be (-4 - (25 + 2))*w. Let i = a - 96. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = z + 17. Let q be 8\/(-6)*(-3)\/(-2). Put 0, -1, z, q in descending order.\nAnswer: z, 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -24. Find the common denominator of 4\/t - (-3249)\/(-540) and -73\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*6\/(-9)*-8. Let d = 52 - y. Calculate the common denominator of 73\/6 and (2 - -7)*(-2)\/d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1\/4, -0.02, 4, 3 in descending order.\nAnswer: 9, 4, 3, -0.02, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + (-6 - (-3 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -16 - (-2 + 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 95.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -3*t - 110. Let c = t + 3. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/48131727 and 61\/123767298?\nAnswer: 866371086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*a = 16, -4*a - 8 = -0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 4*u**2 - u - 3. Let s = 0 - -10. Suppose 0 = -5*o + 5 + s. What are the prime factors of t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**2 - 689562*s + 39624645987 = 0?\nAnswer: 114927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.895295 litres to millilitres.\nAnswer: 3895.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwlpwpt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 84134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((3\/2)\/1). Suppose 66 = 84*p - 27*p - 48. Let m(t) = -39*t + 39*t - p*t**q. Let k(d) = -65*d**2. Calculate m(k(j)).\nAnswer: -8450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 + (-3)\/2. Let f be 6\/4 - n\/(-4). Suppose 4*m + 4*t = 4, 5*t + 17 = m + 4. Sort f, m, -1.\nAnswer: -1, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5247 - 1197995 = 14522*f + 27100 for f.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 1242.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4413 + 15877. Calculate the greatest common factor of 24 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 127\/(-6) + 3\/18. Let y be -2*7\/(t\/6). Suppose 23 + y = i. Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 623\/178*(-80)\/(-7). Solve 0 = u*z + 126 + 74 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 52. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55520 divided by 4.\nAnswer: -13880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1735 is divided by 216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 2*k - 1. Let z = -4 + 2. Let h be u(z). Suppose i = 2*i. Solve 0*r - 10 = -m - h*r, m + 4*r - 14 = i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, t: 1, x: 4, o: 1, r: 1}. What is prob of picking 2 x?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l = 1323 + 1537 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*p + 3)*(-7 + 30 - 2)*(6 + 6 + 5).\nAnswer: 1428*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0454481 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53.3313 - 53.58. Round p to 3 dps.\nAnswer: -0.249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c - 4. Calculate r(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/sqrt(7)*-3 + -6*(sqrt(17) + 3)**2.\nAnswer: -39*sqrt(17) - 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, 4, -31, -20 in decreasing order.\nAnswer: 4, -20, -31, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2 - 0)*-1. Find the third derivative of 286*t**6 + 3*t**5 - 3*t**5 - 40*t**u - 301*t**6 wrt t.\nAnswer: -1800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9311969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 40 - 8. Let t(o) = -3*o - 2. Let r(b) be the first derivative of -5*b**2 - 6*b + 2514. Give f*t(c) - 5*r(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*x - 12, 3*x - 2*i + 12 = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1282123 and 3604.\nAnswer: 5128492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f*f**(-2))\/f*f*f**(1\/4)*(f**(1\/5))**(-15) assuming f is positive.\nAnswer: f**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 5*l**2\/2 + 3. Suppose -972904 = -5*x - 5*v + 497451, 4*x - 1176281 = -v. Let b(a) = 294070 - 9*a - x. Calculate h(b(i)).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*i = 2, 4*t + 27 - 17 = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9566 + 621814\/65. Let p = 10\/13 - g. Sort p, -0.3, 0.13, 1.\nAnswer: -0.3, 0.13, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*m + 3*o - 556 = -39 + 81, m = -5*o - 23 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2686*26151\/4320. Let y = b - 13297\/360. Let f = -16292 - y. What is the common denominator of f and -131\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -114850.\nAnswer: -114845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 48. Let k(m) = -1 + 0 + m**3 + 4 + 6*m - 8*m**2. What is k(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*n**3 + 9*n**3 - 38*n**3 + (0 + 0 + n)*(-2*n**2 - 1 + 1) - 3*n**3 + 0*n**3 + 6*n**3 to the form c*n**3 + u + s*n + a*n**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0390871 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6206 is divided by 689.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-28)\/(-6). Let m(a) = -3*a - w + a**2 - 6*a - 2*a**2. Calculate the remainder when m(-7) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343908790 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + ((1 + sqrt(425))**2 + sqrt(17))*4 + 4).\nAnswer: 44*sqrt(17) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 5. Let b(c) = c + 4. Suppose 45*j = 44*j. Suppose j = -5*i + 10*i + 20. Calculate i*m(t) - 5*b(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 9511.\nAnswer: 3804.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -99, -40, 91, 318, 665, 1156?\nAnswer: 1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 75*b + 493. Determine q(-82).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1841573.57.\nAnswer: -7366294.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i - 11. Let a be g(2). Let k = -27 + 40. Suppose 4*h - 5*h + 5*v = -k, -h = 2*v + 1. Solve 0 = h*t - 5*q - a, -7 = -4*t + 2*q - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3330 + -1110. Let q(x) = -x**3 - 4*x**2 - 3*x + 2. Let w be q(-3). Suppose 0 = w*v - 2300 - c. Round v to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 3:26 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 7. Let o be q(4). Let s be o\/7 + (-136)\/28. Let z(l) be the first derivative of -l**2\/2 - 5*l - 1. Calculate z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 1, z: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 + 1038?\nAnswer: 1037.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zunkcyuycczkyuky. What is prob of picking 1 n, 2 c, and 1 u?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 3:16 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = w - 4*w - 16, 3*f = 5*w + 32. Suppose f*u + 2 = 22, 3*u = z. Solve -2*j - 23 = 2*j - 3*t, -3*t = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 11 = -36, 0 = -g + 4*z - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:50 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.9. Let l = 0.02 - -0.08. Let z = l + -5.1. Which is the closest to -1? (a) z (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Let o(m) = 7*m**2 - 6*m + 4. Is o(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - d + 17, 0 = 2*j + 3*j - d - 15. Suppose j*c - 5*l = 49, c = 4*l - 8*l - 14. What is the highest common factor of c and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7768894386.\nAnswer: 2, 3, 11, 1759, 66919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 30*n - 353. Calculate d(-30).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 + 240*w**2 - 1017*w + 138. Give b(-64).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 37128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2)*q*q**(3\/8)*q\/q**(2\/9)*q*q*((q*q**7)\/q)\/q)**(9\/2) assuming q is positive.\nAnswer: q**(839\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**5\/10 - w**4\/6 - w**3\/2 - w**2 - w. Let f be r(-2). Find the common denominator of 71\/2 and f\/(-16)*(-134)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407920 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:49 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4367 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -438471, -877126, -1315795, -1754484, -2193199?\n\"Answer: -r**3 - r**2 - 438645*r + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ea3c35 (base 15) to base 12.\nAnswer: 389891b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/((-1)\/2). Suppose -p*z + 14 = -1. Suppose -24 = -2*r + 4*g, -4*g - 35 = -z*r + 3. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*n - 822*n = 363*n + 146924 for n.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137870308*w**5 + 4*w**2 - 49374177*w.\nAnswer: 8272218480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*s - s**3 + 18*s - 43*s - 2 - 2*s**4 - s**2 to h*s + r + f*s**4 + z*s**2 + j*s**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101001011111011 (base 2) in base 16?\nAnswer: -552fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456911 a multiple of 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 8. Let i be b(-7). Suppose 4*s - i = 4*r + 19, 6 = -2*r. Let g(h) = -h**2 - 4*h - 3. Let o be g(-2). Solve -16 = s*n - o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -5, -9, -150 in ascending order.\nAnswer: -150, -9, -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -152\/15 less than 130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.04 - 119.04. Let s = 120 + w. Which is the nearest to 0.02? (a) -0.4 (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -4 (c) 6\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*y + 22, 5*o + 5*y - 22 = 2*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axxaaaxanxaaa. What is prob of picking 3 a and 1 x?\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, 7, 186, 431, 742, 1119?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21732?\nAnswer: 2, 3, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10294 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -169*c + 6. Let s be p(-2). Suppose -74 = -t + 5*l, 5*t - 2*l + 3*l - s = 0. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4569)\/3468)\/(6\/21). Let w = i + -4\/289. Find the common denominator of -45\/14 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(144)\/(-4*sqrt(6)) - sqrt(24)))\/(sqrt(24)\/(-1*sqrt(2))*-3).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 851 + -592. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2 - v**3 - 5 + (2*v**2 - 2*v + 2*v)*(2 - 2 + v)*(59 - 121 - 111).\nAnswer: -347*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + d - 12*d)*(13*d**2 + 23 - 23) in the form p*d + k*d**3 + j + m*d**2 and give k.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1498733.\nAnswer: 4496199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -786046.91\nAnswer: -235814.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -32 + 2*j + 11 - 14*j + 2 - 16. Give l(-10).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9152712 to 2 decimal places.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 9e62e?\nAnswer: -9e63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5829.954mm?\nAnswer: 5829954000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4 - 8*j**3\/3 - 2*j**2 + 18. Find x such that m(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*r - 18. Which is the third smallest value? (a) -5 (b) -4 (c) -2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18169, -17998, -17831, -17668, -17509, -17354, -17203?\nAnswer: -17056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*12\/(-27) + 3 + 2675\/(-1425)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 55, 126, 215, 316, 423?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose -5*v = -b*v - 8. Suppose -k = k - v. Sort k, 5, 1\/2.\nAnswer: 1\/2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4226569*i**5 + 2*i**2 - 1276060*i - 4?\nAnswer: -84531380*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1542 = -l - 189, -3*l - 531 = -2*j. Suppose -1026 = -8*c + j. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*(0\/1 - 3). Let r be j*(0 + (-202)\/(-4)). Let q = -59 + r. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 348?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1572\/24497)\/((-16)\/136)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -17, 2 in descending order.\nAnswer: 4, 2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 18 = -3*r - 5*c, -4*r + 41 = -3*c. Calculate the smallest common multiple of 20 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4362225 and 191\/13230.\nAnswer: 78520050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 86 = -3*u. Suppose r - 3*r = -22. What is the remainder when u is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/58039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 80 = -3*c. Let b(w) = w - 13. Let l(o) = o - 11. Let k(f) = c*b(f) - 3*l(f). What is k(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14979224 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttjj. Give prob of picking 3 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(11) - (0 + sqrt(1100)))**2) - (1 + sqrt(308)\/(sqrt(21)\/sqrt(3)))) + 3.\nAnswer: -2*sqrt(11) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t = 12*t - 30. Is (-98261)\/(-97) + 4\/(t + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/15)\/u**(2\/3)*u\/u**(3\/7)*u*u\/((u*u**(1\/13))\/u)*(u**(2\/3))**(1\/9)*(u**0\/u)\/u**(-2) assuming u is positive.\nAnswer: u**(34831\/12285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 340013799 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(540) + sqrt(540) + sqrt(540) + sqrt(540) + sqrt(540)*-3))\/(-2*sqrt(48)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -3*o + 91. What is the remainder when o is divided by (-268)\/(-12) + (-2)\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139472640 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Let m be (-3)\/6*3 - (-17 - -12 - -3). What is the third biggest value in -1, 0.1, v, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 - 0.05. Let z = 18 - 8. Let y = 11 - z. Sort y, f, 0.1 in increasing order.\nAnswer: f, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58642351 is divided by 415903.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 176328?\nAnswer: 176328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j + 4*j + 3*j + 8*j. Let q be m(2). Let u = 66 - q. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.201, -1\/3, 0.3, -7, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/((-3)\/(-8)) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 12. What is h(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by -85.\nAnswer: 91\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 2*h - 3. Let l(g) = -3*g + 329. Determine l(q) + r(q).\nAnswer: 2*q**2 - q + 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - l - 1. Suppose -2*p + 65 = 2*p - 5*k, -k = -4*p + 45. Let j(d) = -18*d**2 + 8*d + 10. What is p*z(v) + j(v)?\nAnswer: -8*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -2, -8, 4\/5, 10, -18\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53049 is divided by 515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -61\/563?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*m - 235*m**2 + 24*m.\nAnswer: -235*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*g + 5 = 0, -3*m - 4*g + 9*g + 16 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253180720 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.12 in -11376, -0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1981871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -23*k - 4. Suppose 16 = 5*n - 4. Suppose -q = q + n. Let u be i(q). What is the highest common factor of u and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = -60496*x + 60566*x. Let j(h) = h**2 + 4*h + 8. Suppose 2*s + 10 = -g, -4*s + s = g + 12. What is the lowest common multiple of x and j(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 13.\nAnswer: -37\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 89 - 35. Suppose 624 - 84 = -20*i. Let f = i + z. Solve -5*u = -4*u - 2*w + 10, f*w - 12 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6686\/75 - 62\/25. Let i = y + -86. What is q in 2\/3*q**2 + i - 4\/3*q = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t + 215*t**2 + 12*t - 368*t**2 - 482*t**2.\nAnswer: -635*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 98580271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 4*o + 3. Let c be r(-4). Suppose -4*z - 2 = -2*t, 3*t + c = 3*z - 0*t. Is z\/4 + (-972)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = -1. Suppose -24 = -g*a + 3*h, h + 8 = 4*a + 3*h. Calculate the lowest common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105438 by -52719.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6278*4\nAnswer: 25112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**5\/20 + o**4\/4 - o**3 - 13*o**2\/2 + 29*o - 61. Give l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:44 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 4379.\nAnswer: 21\/4379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/6 + 5)*(-23 - -24)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alxuylg. Give prob of sequence yyx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 3855.\nAnswer: 2\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = -1446 - 9454. Suppose -10*p + 24 = -x. Let n = -6 + 30. Calculate the remainder when p is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 - -18.9?\nAnswer: -88.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*y + 47*y + 62. Calculate the remainder when 61 is divided by y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from {w: 1, n: 1, m: 2, p: 1, b: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5027422 divided by 127.\nAnswer: 39586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8813 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 56 - 11 = 0. Suppose -k*x + 27*x = 0. Which is the third biggest value? (a) -2 (b) x (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -102. Let c(j) = -j**2 + 8*j + 3. Let i be c(6). Let v = k - i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281108193 is divided by 796.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 + 264\/21 - (-8)\/(-14). Suppose 4*p - 4 = j*d, -4*d + 2*d + 2*p = 0. Solve 5*l + d*l - 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 + (-46)\/12. Put c, -1, 4 in ascending order.\nAnswer: c, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 10*h**2 + 14*h - 3. Give z(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4100 - 28702\/7. Which is the nearest to -0.04? (a) k (b) 2\/15 (c) 1.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -7*y**4\/8 + 107*y**3\/6 + 6*y**2 - 8. Let c be z(5). Sort -5, c, -9 in descending order.\nAnswer: c, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 - 2*g - 2. Let x(o) = o**3 + o + 1. Let j(k) = u(k) + 2*x(k). Let m(d) = 3*d**3 + d**2 + d. Let i(s) = 2*j(s) + m(s). Calculate i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -128*q**3 - q**2 - 2*q - 1. Let x be k(-1). Suppose 0 = -5*z - 2*m - 301, 0 = 2*z + 5*m - 2 + 135. Let u = z + x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 90, 100, 110, 120?\n\"Answer: 10*m + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92744, 185473, 278184, 370871, 463528, 556149, 648728?\n\"Answer: -m**3 - 3*m**2 + 92745*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/25573785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7996667 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070853?\nAnswer: 3, 7, 50993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009805228423 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 3\/7, -7\/3, -1, 4 in decreasing order.\nAnswer: 73, 4, 3\/7, -1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/4*(27\/(-13) - 25\/(-325)). What is the greatest common factor of 3125 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8779257*y**2 + 6945579 wrt y?\nAnswer: 17558514*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*y + 55. Let m be (y\/36)\/(2\/12*2). Determine j, given that 0 + 4\/3*j - m*j**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(2057) - (sqrt(68) - ((sqrt(68) - 1*(0 + sqrt(68) - sqrt(68))) + sqrt(68))**2).\nAnswer: -24*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 3. Let n be h(0). Suppose 0 = -3*t + n*q + 264 + 414, -3*q - 904 = -4*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436171083 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: Suppose -60 = -5*o + 4*h, -3*h - 1 = 3*o + 2*h. Suppose -o*d = -9*d + 2. Differentiate 7 + 1529*r**2 + 13*r**4 - 1529*r**d with respect to r.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11*q + 2. Let b(x) = -x + 2. Give 3*b(v) - j(v).\nAnswer: -14*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:57 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 874847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 4*h + 8. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3. Let w(h) = 6*h**3 + h**2 - 4*h - 7. Let r(j) = 5*f(j) - w(j). What is the tens digit of r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/13)\/d**(-8\/7))**(-2))**8 assuming d is positive.\nAnswer: d**(-1552\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106056?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d, -3*d = -3*v + 2*d + 3. What is the third biggest value in 0.3, v, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:52 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 24 - 63. Let j(a) = -y + 20 + 7 - 12 + 7*a. Calculate j(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 + 30*d + 3. Let t be i(-6). Suppose t*o - 7*o = 4, 2*o = -s. Solve 2*j - s = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60914253 to the power of 1\/2, to the nearest integer?\nAnswer: 7805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -3*h. Let i = 56 + -56. Suppose 4*d - 2*m = d + 4, i = 2*d - h*m + 8. Put -4, -3, d in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122 (base 4) to base 2.\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2 + 3 + 0. Let r(q) = q**2 - 5*q. Suppose 2*m = 5 + 3. Let o(z) = m*g(z) + r(z). Calculate o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -48287\nAnswer: -3\/48287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 12, 20, 0, 3, -3777?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 180202.26 hours in weeks?\nAnswer: 1072.6325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttjr when four letters picked without replacement from {p: 2, t: 2, j: 1, r: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17801 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-22)\/77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12459, -12469, -12491, -12525, -12571, -12629?\n\"Answer: -6*g**2 + 8*g - 12461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m + 14300 = -175*m + 100*m. Solve 0 = 72*w + 74 - m for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 9*m - 8. Let h be q(-8). Suppose 5*j - 95 = -h*l + 5*l, 65 = 5*j + 5*l. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4848, 9784, 14720, 19656?\n\"Answer: 4936*j - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -1.11323?\nAnswer: 9.88677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - b**2 + 4*b. Let z(x) = -x. Suppose 5*n + 10 = -5*r, 12 = -5*r + r - 5*n. Let s be (r - -6)*(-5)\/10. What is s*z(a) - m(a)?\nAnswer: -2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12137967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 h when four letters picked without replacement from {h: 2, c: 4, j: 3, y: 3, u: 4}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -102, -217, -368, -549, -754?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -362561 - -61?\nAnswer: -362500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Add together -3.728032 and -0.5.\nAnswer: -4.228032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 1 + (-1 - 3 + 2)*(-4 + 4 + 2) + 1 - 1 - 2 + 3 - 3 - 2)*(b + 5*b - 2*b) + (5 - 4 - 2)*(2*b + 0*b - 4*b).\nAnswer: -46*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 4*s**2 + 3*s + 4. Let m be v(5). Let i = 0 - m. Suppose 0 = -o + 19 + i. Solve 0 = -3*d - 5*z + o, -5*d + 0*z - 4*z = -20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1. Let q(s) = -33*s. Let i(n) = -q(n) + 2*z(n). Let u be i(2). What is the greatest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 7*a**2 + 3*a - 16. Let x be k(-6). Suppose 12 = x*y - y. Suppose 3*f = y, 3*f = 6*v - v - 298. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = -14. Which is smaller: 2\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*r - 123, y - 4*r + 359 = 4*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:10 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11500 divided by 100.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 612 = 3*z, 6*z - 2*z + 328 = 2*k. Is (-24)\/k - (-250046)\/26 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1794160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:12 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) + (-933)\/(-9). Suppose 2*d + n = 6*d. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4 (c) 856\/1385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 124236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 16) + 0 - -19 - (3 - (-5 - 19))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 3*p**2 - 7*p - 8. Let w be a(-4). Suppose -50 = w*j - 9*j. Suppose -5*m - 23 = -4*i - j*m, 0 = 3*m - 9. Is i < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 y when four letters picked without replacement from yxyxxxxxxxx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9817099 * -3\nAnswer: -29451297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3432 and 6456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -0.3, 0.1, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 44 - 19, -3*r - 27*q + 14*q = -12*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31994?\nAnswer: 2, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*c**3 - 17*c**2 + 28*c**2 - 11*c**2.\nAnswer: -195*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 3 = -2*d. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 15*r - 70. What is m(-10)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*s = -417*s - 71*s + 90*s - 3775 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = -2*o. Let k = o + 10. Let w = -5.1 + 7.1. Which is the nearest to 2? (a) -4 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -83*l + 78*l. Let a = l + 139. Let r = -100 + a. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 4*o + o - 2*o - 1. Let b(p) be the second derivative of -4*p**3\/3 - 5*p**2\/2 - 26*p. Let h = -7 - -5. Calculate h*b(w) + 9*z(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - r + (-3 + 3 + 1)*(-2*r - 3 + 3))*(42*r - 118*r + 45*r).\nAnswer: 31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 23714176?\nAnswer: -23714179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 9*j + 8. Let u(t) = t**3 + 7*t**2 - 8. Let n be u(-7). Give i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 8283640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -471100 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(3*v**5 + 3*v**5 - 5*v**5 + (v**4 + v**3 - v**3)*(-1 + 2*v + 1) - 3*v**5 - v**5 + 5*v**5) + 106*v**4 + 11*v**5 - 106*v**4.\nAnswer: 19*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 - 8*t + 5. Let c(m) = 3*m**3 + 7*m - 4. Calculate 5*c(u) + 4*l(u).\nAnswer: -u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 + 1888 = 3*t - 4*h, 0 = -5*h - 20. Suppose -244 = -6*n - t. Let v = -60 - n. Is 19 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*x**5\/2 + 2385*x**4\/2 + 10649*x**3 + 31774*x**2 + 12596*x + 1344 = 0. What is x?\nAnswer: -16, -7, -6, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*c + 6*p - p, -7 = -c + p. Let j(m) = -m - 2. Let v be j(-5). Differentiate -18*f**c - 3 - 6*f**4 - 7*f**4 + 18*f**v with respect to f.\nAnswer: -52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f + 46 = -60 - 164 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let h(c) = 103*c + 2. Calculate h(m(g)).\nAnswer: 103*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7213244, 7213247, 7213250, 7213253, 7213256?\nAnswer: 7213259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 289 = -8*v - 23 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 17135\nAnswer: 3427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/13 + 94*y**4\/13 + 930*y**3\/13 - 2662*y**2\/13 - 4960*y\/13 + 6600\/13 = 0.\nAnswer: -10, -2, 1, 3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 527953117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 - 1 + 1 + (-3*x**2 + x**2 + 3*x**2)*(-2 + 2 + 1))*(3*x - 3*x - 4*x).\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/((-12)\/(-2)))\/((-9)\/(-6))*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**2*t**4 - 265*j**2*t**2 + 8*j*t**4 - 4*t**4 + 2 wrt t.\nAnswer: -72*j**2*t + 192*j*t - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-163)\/815*1\/(8\/(-5)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-2)\/(-20))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30366, -30363, -30360, -30357, -30354?\n\"Answer: 3*v - 30369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6908, 27422, 61274, 108188, 167888, 240098, 324542, 420944?\n\"Answer: -46*h**3 + 6945*h**2 + h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = 3*k, -3*k - 2*a = 3*a + 25. Suppose k = -d + 29 + 2. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-43)\/8 - -3). Let c = 150\/133 - f. What is the smallest value in -3\/5, -2\/3, 1\/2, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1020)\/(-16) - -4)\/(1\/12). Let k(b) = 9 - x*b**3 + b - 13*b**2 + 272*b**3 + 271*b**3 + 269*b**3. Calculate k(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224 + -215 - ((-2 - -2) + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-5)\/(-2)) + 6. Suppose u + r = 24. Suppose 3*a = -c + 6*c - 122, u = c - 5*a. Solve -5*g + 5*x + c = 0, -3*g + 0 = x + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 2192562.\nAnswer: 10962810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*r + 23, f + 4*r = 219 - 241 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (6\/(-10))\/((-21)\/630)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5263557?\nAnswer: 3, 13, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u. Let o(z) = -5*z - 2. Let m be o(-4). Let n(a) = -a**2 - 18*a + m*a. What is n(k(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 1677.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024560694 to 5 decimal places.\nAnswer: -0.00246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -118.4.\nAnswer: 473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1252 - 2853. Let i = a - -6439\/4. What is the common denominator of i and 669\/18 - 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 783077.599653 - 783078. Let b = 0.4 + k. What is b rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**5 + 30*i**4 + 60*i**3 + 50*i**2 + 15*i = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*x + 6, 0 = 4*l - 5*x + 87. What are the prime factors of (894\/l)\/(-3 + 8\/3)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7297*n**2 + 12*n + 24. Let l be x(21). Let u = -7452299 + l. What is u rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9352 by -668.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 61. Put 0.1, i, 0.5, -0.2 in descending order.\nAnswer: i, 0.5, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1877369*i - 1877364. Calculate o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**2\/4 + 2409*k\/2 + 2412 = 0?\nAnswer: -2, 1608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.28? (a) 1 (b) 3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 28.8. Let v = w - -0.8. What is the nearest to -0.2 in 0.5, 6\/5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*o = 384589 - 409357 for o.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -544 by 32.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 7:59 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*g + 221*g - 437*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i**3 - 1\/12*i**4 + 0 + 0*i - 17*i**2 - 1\/60*i**5. Factor r(p).\nAnswer: -p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**2 + 6*p + 2. Let l(m) = m**2 - m. Suppose 5*f - 4 = 2*r + 8, 0 = r + 3*f + 6. Let v(c) = r*l(c) - z(c). What is the derivative of v(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*o**2 - 38*o**2 - 117*o**3 + 66*o + 120*o**3 - 48 + 6*o.\nAnswer: 3*(o - 4)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8396 + 8399. Let b be ((-5)\/2)\/(3\/6). What is the closest to 12\/11 in w, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14396244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**7\/840 + i**6\/90 + 5*i**3\/6 - i**2. Let s(b) be the first derivative of v(b). What is the third derivative of s(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3121 - -1221?\nAnswer: -1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3925)\/(-1884) - (-26)\/(-78).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/6)\/4*13260\/(-187850)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 10*k**2 - 8*k + 37. Let d be s(-11). Which is smaller: -2\/7 or d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 14*d**3 - 34*d**2 - 18*d.\nAnswer: 2*d*(d - 9)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1613\/7, -1, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.693us in seconds?\nAnswer: 0.000778693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00296923695 to six decimal places.\nAnswer: 0.002969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/12 - 106*l**3\/9 + 35*l**2\/2 - 5602. Suppose y(h) = 0. What is h?\nAnswer: 0, 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8977285\/7, -0.4, 4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + -8)\/(-3*8\/132)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(162) + 5 + (sqrt(72)\/(sqrt(36)\/sqrt(4)))\/sqrt(4) + -4)**2.\nAnswer: 100*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*z + 2183, -4*q + z + 1391 + 790 = 0. What is the remainder when q is divided by 43?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/((-1)\/2). Let z(g) be the first derivative of 8*g**3 - 44. What is the units digit of z(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7707*v**2 + v. Let o(w) = 2*w - 65. Determine o(y(z)).\nAnswer: -15414*z**2 + 2*z - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/24 and 73\/123424.\nAnswer: 370272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15383954, -30767906, -46151858, -61535810?\nAnswer: -76919762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 13 in descending order.\nAnswer: 13, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20458\/371 + -53 + (-2472)\/1232?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + 16*h + 20. Let i be o(-8). Suppose r - 1448 = 2*s + i, 6396 = 4*r + 4*s. What are the prime factors of r?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 14. Let v be d(-13). Let f = 18 - v. Let o be 8\/10 - 51\/f. Sort 5, -0.1, o in decreasing order.\nAnswer: 5, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1.5. Let g = 47 + -46.951. Let h = 0.251 + g. What is the closest to -1 in t, 1, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -36*w + 5. Let d be g(-7). Let k(f) = f**2 - 4*f - 30. Let j be k(8). Suppose 115 = s + 4*p, j*s = -0*p + p + d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/7*c**2 - 6\/7*c - 2\/7*c**3 - 2\/7 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 781299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*j + 48 = -203*j. What is the remainder when 93 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/4 + 742486*v**3 - 31184265*v**2\/2 + 109144756*v - 1018683589\/4 = 0.\nAnswer: 7, 2969923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275\/5 - (-3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51951 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-9)\/(-12))\/(720\/(-864))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*(sqrt(88) + sqrt(88)*-2))\/(2*-5*sqrt(392)).\nAnswer: -sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/60 - (2\/(-11) - 25165\/(-98175)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)\/n)\/n**(-42)*n*n**(2\/93)*n**2)**(12\/7) assuming n is positive.\nAnswer: n**(81136\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -5*y**4\/6 + 2984*y**2. Let d(c) = c - 34. Give t(d(n)).\nAnswer: -20*n + 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 311129 and 1001.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/87 + 122\/261. Let r = -10\/7161 + 35825\/14322. Which is the smallest value? (a) r (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 6*o + 0*o + (1242*o + 1180*o - 216*o)*(6 - 1 + 7))*(2*o - 3*o - o)*(0*o - o - 2*o) to the form d*o**2 + c + r*o + y*o**3 and give y.\nAnswer: 158820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*j - 1685, -j - 5*v + 789 = 204. Suppose 8*k = -6*k + j. Calculate the greatest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-8 - -2) - 4 - 56.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 12*m - 27. Give p(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4249.499 micrograms to grams.\nAnswer: 0.004249499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/28 + (-2)\/(-7). Suppose -s = -0*s - 3. Suppose r = 4*m - 17, -2*r = -s*m - 7*r + 30. Solve 0 = m*i + 2*p - 30, 0 = k*i - 3*p + 2 + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w + 5*j, 3*w + 4*j = j + 24. What is the third derivative of 15*n**4 - 6*n**2 + 15*n**2 - w*n**2 - 11*n**2 wrt n?\nAnswer: 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-880)\/(-6) + 3\/9. Calculate the highest common divisor of v and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + 2 + sqrt(1900) + sqrt(1900) - sqrt(1900))**2.\nAnswer: 60*sqrt(19) + 1912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/33)*j\/(j\/j**(-10\/3))*j)**(-10\/7))**(-30) assuming j is positive.\nAnswer: j**(-600\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6090*q + 6093*q - x + 26 = 0, -4*x + 7*x = 13*q + 118 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/12 - w**3\/6 + w**2\/2 + w. Let d(b) = b**2 - 8*b - 56. Let l be d(0). Let t be 5\/(-2)*25\/(1750\/l). What is a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 206220969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -612, -33, 0.1?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -709*f**3 + 1576?\nAnswer: -2127*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4500.634 centuries to months.\nAnswer: 5400760.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/39*23\/((-14835)\/(-473)) - (-20)\/(-25)?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 1243*h + 333. Let s(b) = -b**2 - 621*b - 167. Let q(g) = 9*s(g) + 4*z(g). What is the derivative of q(n) wrt n?\nAnswer: -2*n - 617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43546 - 347360.9?\nAnswer: -390906.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let l(p) = p**2 + 7*p + 14. Let v be l(-4). Let i(y) = -39*y**v + 0 + 2 - 2. What is i(c(f))?\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.52035 and -0.1.\nAnswer: -0.62035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 29*n**2 + 2*n + 3. Let r be v(4). Is r - (-8 + 11)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 8, 0 = -3*b - 11*h + 14*h - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -3\/4, -175232 in decreasing order.\nAnswer: 6, -3\/4, -1, -175232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/20 and -43\/58534.\nAnswer: 585340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -6*s + 12, 6*s + 17848*m = s + 17844*m + 39 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-314074.\nAnswer: 62814.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4*5\/(-6680)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266039 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**7\/30 + 13*p**6\/40 + 19*p**5\/15 + 5*p**4\/2 + 8*p**3\/3 + 3*p**2 + 19*p. Solve l(v) = 0 for v.\nAnswer: -2, -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3748 + -3750. What is the nearest to k in -2\/7, -4, -378, -2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5405670342?\nAnswer: 2, 3, 71, 181, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 31*i - 33*i - 4*x, -x - 3 = 0. Let v(u) be the second derivative of -15*u + 0*u**4 + 0*u**i + 0 + 1\/14*u**3 - 3\/140*u**5. Factor v(f).\nAnswer: -3*f*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 62*d + 59*d - 176*d + 71*d. Let a(n) = -42*n**2. What is a(k(o))?\nAnswer: -10752*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412574 is divided by 1182.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1814, 3600, 5376, 7136, 8874, 10584?\n\"Answer: -y**3 + y**2 + 1790*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 10*s**2 + 2*s + 22. Is j(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0526 and 232?\nAnswer: 232.0526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12673813*t - 8282186?\nAnswer: -12673813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/9)*r**(-3\/5))**16\/(((r\/(r\/(r\/(r**(-1\/7)*r))*r))\/(r*r**(2\/3)))\/(r\/(r\/(r*(r\/r**(-6)*r)\/r))*r**(-1))) assuming r is positive.\nAnswer: r**(-584\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -72. Suppose -2*l - j = l + 2, 0 = -j - 2. Factor -w**5 + 0*w**3 + l*w**3 - w**4 + w**3 + w**2 + 0*w**a.\nAnswer: -w**2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**2 - 19*o + 62. What is the units digit of j(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (-6)\/(-12)*1822?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18\/11*a + 1\/11*a**3 + a**2 + 0 = 0. Calculate a.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -0*l - l. Let n = -8 - l. Suppose 5*v = n + 45. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-33 - -36) + (-2 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2951199 less than -2951254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71154 = 5110*c - 306214 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18136 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axx when three letters picked without replacement from faxfaxfxxffx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, c: 4, r: 8}. Give prob of sequence dddd.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*j - 2)*(-3 + 3 + j)*(-2*j - 6*j + 4*j) + (0*j - 2*j + 0*j)*(j**2 - 300*j + 300*j) + j**3 - 6*j**3 + 0*j**3.\nAnswer: -15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 11*o**4\/12 - 41*o**3\/3 + 39*o. What is the second derivative of q(y) wrt y?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -318 - -447. Let q = t + -123. Solve -21 = 3*g - 2*g + 4*b, g + b + q = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or -29201944?\nAnswer: -29201944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2149 + -2313. Let p be 5\/(-15) + (-38)\/(-6). Find the common denominator of (z\/(-12))\/(88\/p) and 29\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 0*u - 2*u + u. Let g(y) = -y**3 - 19*y**2 - 2*y + 19*y**2. Let c(i) = g(i) - 2*t(i). Solve c(n) = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19693.8 + -19696.8. Let c = -36 + 65. What is the closest to s in c, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*s - 14*s + 301 + 35 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/754984 and 77\/13778458.\nAnswer: 55113832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/21 - (36296\/14)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*z**4 - 24168*z**3 + 2052122*z**2 - 4032028*z + 2004002.\nAnswer: 2*(z - 1)**2*(6*z - 1001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.13 and -0.85097251161.\nAnswer: -0.98097251161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 50. Let h be (-3)\/(-6)*(-56)\/(-1). What is the greatest common divisor of j and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyjyyyjjyyjjjjj. What is prob of picking 2 y?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16988.\nAnswer: 2, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2510*v + 689*v - 135001 = -26235 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*s**3 + 25*s**3 - 108*s**3 - 84*s**3 - 3*s**2 as i*s**2 + h*s + l*s**3 + f and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -118, -110, -98, -82?\n\"Answer: 2*t**2 + 2*t - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07356 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.6 - -5. Let m be (0 - -5)*(-1)\/(-1). Suppose -5*y - 2*k + 4 = 0, 64*k = 3*y + 60*k + 8. What is the closest to y in -0.1, m, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114115 + 2104?\nAnswer: -112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2188 - 2210 - (-1 + 0 + -1 + 2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6053 by 5547.\nAnswer: 6053\/5547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from jxjjjsjmx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -37. Suppose 9*q - 21 = c*q. Put 2, q, -7, -1 in ascending order.\nAnswer: -7, -1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 - 2*h + 6. Suppose -2787 - 2101 = -13*n. Let r = -379 + n. Give f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.15556278 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.459 + 46289.\nAnswer: 46270.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1655, 6685, 15069, 26807?\n\"Answer: 1677*g**2 - g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((-135)\/(-45))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 394060 and 26962?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzbzbzz. Give prob of picking 1 z and 2 b.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 85505\nAnswer: 1\/85505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 444857299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -584630, -584627, -584624, -584621?\n\"Answer: 3*q - 584633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 8\/17, 135, -13\/4?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 times -1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -371899*b + 189*b**2 + 371899*b to the form v + h*b**2 + p*b and give h.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 173, 5, 2 in descending order.\nAnswer: 173, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 325*n**4 + 20327*n**3 + 420651*n**2 + 2814021*n - 1370628.\nAnswer: (n + 21)**3*(325*n - 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001767161 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1\/5 (b) -3\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(6)\/sqrt(2) - sqrt(3))**2 - 4*(sqrt(3) + 0).\nAnswer: -4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + 2?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 + 1. Suppose q - 13 = -2*q + 4*g, -5*q - 2*g + 13 = 0. Suppose -3*z = -s - 1, z = -7*s + q*s - 4. What is f(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m - 1. Let y(x) = 12*x**3 + 16*x**2 - 15*x - 5. Let g(d) = 7*d**3 + 8*d**2 - 7*d - 2. Let b(k) = -7*g(k) + 4*y(k). Calculate -b(s) + 6*u(s).\nAnswer: s**3 - 2*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1798*u**2. Let t(g) = g**2 + 13*g**2 - 20 + 20 - 11*g**2. What is w(t(y))?\nAnswer: 16182*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:18 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x + 35*x - x**2 + 42*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(36\/42)\/((-28)\/3577). Let b(f) = f**3 + 3*f**2 - f + 3. Let a be b(-3). What is the highest common factor of a and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let h = 0 - -14. Solve -3*f - x = 4, -i*f + 5*x = -0*f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in -17, -2\/9, -2, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -9*n**5\/5 - 66*n**4\/5 - 2*n**3 + 16*n**2 + 19*n\/5 - 14\/5 = 0.\nAnswer: -7, -1, -2\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovlvvlvlvflq. Give prob of sequence fvvl.\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -2395911.909945?\nAnswer: -2395912.309945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - o + 3269 = 0, -v - 10*o + 5*o + 3269 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 1684 + 1684.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 = 8. Let q(a) = -a**3 + a + 2. Let i be q(x). Put 5, i, -14 in ascending order.\nAnswer: -14, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13568\/1484*(-1 + 3)\/((-216)\/126).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1633236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 3\/5)*10. Suppose 3*h + 505 = -254. What are the prime factors of h\/(-5) + k\/10?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8 = 7*y. Let a = 2.94 + 0.06. Let d = 11 - 16. What is the smallest value in d, y, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-18)\/(47\/((-846)\/576))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713259135 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -5 (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -26\/49, 3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -220 + 240, 3*b - 4*t - 10 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1879*s**2 + 5445. Let a(i) = -7524*i**2 - 21779. Let k(v) = -2*a(v) - 9*x(v). What is the derivative of k(q) wrt q?\nAnswer: -3726*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoy when three letters picked without replacement from {u: 2, o: 2, y: 11}?\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:43 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185 + -176. Let k = 24 - 6. What is the greatest common divisor of o and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200\/23 + 2837\/276. What is the common denominator of b and -95\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11120020220?\nAnswer: 11120020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.75 - 40. Let r = 68.6 - 64. Let b = r + x. What is b rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 17*q**2 - 5476*q + 31. What is w(66)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36309, -36328, -36347, -36366, -36385?\n\"Answer: -19*s - 36290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/155 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 1 - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3670.83 - 3671.03. Let z(l) = l**3 + 4*l**2 - 4*l. Let b be z(-5). Let c be (3\/(-9))\/((-2)\/(-8)). What is the second smallest value in b, 1\/4, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 11*n - 126. What is m(16)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007156159147 to seven decimal places.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000084779 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5.6 (b) -3\/8 (c) -0.2 (d) -1\/7 (e) 1641 (f) -5 (g) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435047 at least 433862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -12*y**2 - 9*y + 31. Let k(p) = 6*p**2 + 4*p - 15. Let w(r) = 4*d(r) + 9*k(r). Find the first derivative of w(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194392, 388786, 583180, 777574?\nAnswer: 971968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5517 - 99245\/18. Calculate the common denominator of o and -91\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1395.8 * -5.\nAnswer: -6979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {n: 4, i: 9, m: 4}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*f + 23*f + 127*f)*(-2 + 2 - 3)*(5 - 3 + 2).\nAnswer: -1596*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/15)\/((8\/(-48))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43723 and 345?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 2*o + 6. Let p(w) = -2*w**2 - 4*w + 12. Let l(v) = -4*p(v) + 9*q(v). Suppose 5*x + 33*t = 30*t - 18, 5*x + 2*t + 22 = 0. Give l(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2439228 and 5280?\nAnswer: 97569120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 24 = 5*o, 304*o - 114 + 98 = -b + 267*o + 170 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 u when three letters picked without replacement from yyuuyyuuuuuyu.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) -0.08 (b) -4 (c) -354 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 469299 to the nearest one thousand.\nAnswer: 469000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28940910 divided by -10\nAnswer: 2894091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from ggukkkkkkkgkkku.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 21504*i**2 - 1876 + 1876 + 102*i**5 - 98*i**5 - 10688*i**3 - 35*i**4 + 1347*i**4 = 0?\nAnswer: -336, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105902, 847480, 2860374, 6780254, 13242790, 22883652, 36338510?\nAnswer: 54243034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65979479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**2. Let a(d) = 4*d - 10. Let b(p) = p - 3. Suppose 0 = -4*t + 13 - 1. Let q(r) = t*a(r) - 10*b(r). Calculate q(f(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a**3 - 13*a + 0*a**4 + 0*a**2 - 4\/5*a**5 - 4. What is the derivative of t(o) wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3*w**2 + w - 3. Let n be x(-3). Let z(u) = u**2 - 7*u - 13. Let g be z(12). Let y = n + g. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f**2 - 95*f**2 + 10*f**2)*(f**3 + 0*f**3 - 2*f**3).\nAnswer: 103*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2\/w*w\/w**(2\/35) assuming w is positive.\nAnswer: w**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b. Let n(v) = 296056*v**2. Give n(g(k)).\nAnswer: 2664504*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k. Let s(c) = -c. Let d(j) = -2*j**3 - j**2 - 2. Let g = 0 + 2. Let y be d(g). Determine y*s(b) + 2*x(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82155091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2230 and 113\/10.\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42791 from 18538.2.\nAnswer: -24252.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -6 + -8 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 6*n - 4. Let x be a(-4). Let b be ((-68)\/(-85))\/((-1)\/(-5)). Solve -2*d = -2*c + x + 2, 0 = b*c + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 106*a + 3. Let k be d(0). Solve k*w + 2*c - 20 = 0, 16 = -6*w + 8*w + 2*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 3, q: 3, y: 1, r: 1, j: 2}. What is prob of picking 1 y and 1 j?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + 3 - (sqrt(1088) + 0))*3.\nAnswer: -21*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from jgjgjjjjgjgjsj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -63*g + 448. Let q be j(7). Solve 0 = 3*n - 5*c - 11, -4*c - c - q = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*p**2 + 61*p**2 - 114*p**2 - 4 - 8*p**2 + 10*p**2 - 21*p**2 + (0 + p**2 + 0)*(-4 + 2 + 1) + 0*p**2 - 3*p**2 + p**2.\nAnswer: -18*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b**3 + 17*b*j**2 - 5*b*q**2 + 3*j**2*q**2 - 9*j**2 + 48*j*q**2 with respect to b.\nAnswer: -27*b**2 + 17*j**2 - 5*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5141 - 5138. Solve -9*g + 19 = -5*g + y*k, 2*g - 7 = k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6132 - -6132.00023252. Round h to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:13 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u**2. Let g(t) be the second derivative of -13*t**4\/6 + 165*t. Give g(j(q)).\nAnswer: -3146*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15848*(-16 - 594\/(-36)). Which is smaller: -0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/15 - 8\/5. Suppose 3*v + 3*t = 2*v - 5, 0 = -5*v - 2*t + 14. What is the third biggest value in -1.6, u, v?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(1\/37)\/(r**(-2\/5))**(-11)*(r\/(r\/(r\/(r**(-5)*r*r)))*r**(-2\/3)\/r)**(-35) assuming r is positive.\nAnswer: r**(-47782\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 12\/18)*(-9)\/2. Suppose 3*x + 241 = u - 291, q*u - 1636 = -x. Suppose 3*g = -2*a + 428, 4*g - u = -0*a + 4*a. Does 27 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 11 = -n, 11*i + 52 = 15*i + 5*n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -24. Suppose 4 = -3*q + r*q. What is the units digit of -273*(26\/(-6) + q + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809496 - 94*r**2 - 809496 - r**2.\nAnswer: -95*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + q**2 + 0*q**2. Let t(y) = 23*y**2. Give d(t(j)).\nAnswer: -529*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -519 and -9.\nAnswer: 4671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 22 = 4*o. What is the derivative of -11 + 28 + 9*j - o wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136294.531 - -6?\nAnswer: -136288.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 356668229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -216305*b + 335990?\nAnswer: -216305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37391, -149900, -337457, -600062, -937715?\n\"Answer: -37524*s**2 + 63*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + 0.13. Let m = 15.39 - 19.39. What is the nearest to x in 0.5, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45803 less than 0.08?\nAnswer: -45802.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*l + 2, -10*v + 2*l - 12*l - 26 = -7*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 392\/210 - 2\/(-15). What is the third derivative of -13*o**4 - 24*o**i + 42*o**2 - 29*o**2 wrt o?\nAnswer: -312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 0, j = -j - 5*g + 18. Let t(c) = -25*c - 4. Let p(a) = 26*a + 5. Give j*t(o) - 5*p(o).\nAnswer: 20*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -28*f - 2114. Let c be y(-77). What is the greatest common factor of 3598 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42088083 a multiple of 641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1000*m**2 - 2*m + 655. Let h(q) = -2000*q**2 + 5*q - 1307. Let s(o) = -5*c(o) - 2*h(o). What is the first derivative of s(r) wrt r?\nAnswer: -2000*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/7 - 1962*h + 2245509 = 0 for h.\nAnswer: 2289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -13*a**4\/12 + a**3\/6 - a**2. Is n(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 4*u**2 - 3*u - 2. Calculate h(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.042101 centuries?\nAnswer: 0.42101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/1665*(875\/(-42))\/25*-4*1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*r + 20, -2*h = -5*h - 4*r + 26. Find t such that 1 + 0 + 3*t**h + 0*t**2 + 3*t - 7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**4\/12 + 17*v**3\/6 + 13*v**2\/2 + 23*v. List the prime factors of q(18).\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4*30\/9. Suppose 153*g - 194*g = -205. Solve g*x - b = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1701 (base 14) to base 3.\nAnswer: -12122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 359. Let p = -55 + y. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/47)\/s**(-1\/8))\/(((((s\/s**45)\/s)\/s)\/s)\/s)**39)**(-25) assuming s is positive.\nAnswer: s**(-17597375\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p - 4 + 4)*(5 + 2 + 3)*(0*p + 6*p - 2*p).\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, w: 3, j: 3, e: 3, f: 1, r: 3}. What is prob of picking 2 w, 1 m, and 1 r?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**3 + 15*a**2. Does 24 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/5 + u**4\/5 + 11*u**3\/5 - 29*u**2\/5 + 26*u\/5 - 8\/5.\nAnswer: -(u - 2)*(u - 1)**3*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3398?\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let h(q) = -19*q + 1. Let i(r) = -5*r**2 + 7*r - 11. Let l(f) = -3*h(f) + i(f). Calculate l(a(u)).\nAnswer: -20*u**4 - 128*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**15\/(n**(-3\/7)*n*n*n**2) assuming n is positive.\nAnswer: n**(395\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*u + 117*u + 2*u**3 + (0*u + 0*u + u**2)*(2*u + u - 2*u) + 2*u**3 + 5 - 5.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53651919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 15 = -w. Suppose b + 0*b = f, -4*f + 30 = w*b. Solve -5*s + u + 0*u = 25, -s - f = -u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 2720504?\nAnswer: -1088201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 520*r - 1331887. Calculate a(923).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6835 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 11*h = 4*h - 28, q - 3*h - 12 = 0. Which is bigger: -8642 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106419 or 106421?\nAnswer: 106421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + f**2 + 100. What are the prime factors of b(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/10)\/((-2418)\/110 - -22). Calculate the greatest common divisor of 15444 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109402700 to the nearest 100000.\nAnswer: 109400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*t = 23, -2*d = 2*t + t - 17. Let g = 662\/1561 - -1\/223. Which is the nearest to 0.1? (a) g (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1058 at most as big as -257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 3. Let h be r(0). Suppose -h*c + 5*c = 0. Suppose 2*a - 1 = -u - a, c = 4*a. Solve -2*m - 5 = -u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.66788 rounded to 1 dp?\nAnswer: 37.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/27)\/((-4)\/((-128)\/(-4)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 2*w**2 + 2*w. Let l be y(-2). Is l equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 17 = -2*i + 3*l, 0 = -4*i - 2*l + 10. Suppose -3*o - 2*y - 4 = 0, 0 = -i*y - y - 10. Differentiate o*p - 4 + 1 + p with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9786039 milligrams in nanograms?\nAnswer: 978603.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 430.312?\nAnswer: 430.312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 + 10*m - 15. Calculate j(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 60*j**3 - 145*j**2 - 90*j.\nAnswer: -5*j*(j + 1)*(j + 2)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*i - 637*i - 2448*i**5 - 239*i + 2381*i**5 wrt i.\nAnswer: -1340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 18\/(-14) + (-88)\/(-14). Let n(o) = 6*o + 4 - 10 + u. Let s(d) = -5*d**2 + 2*d**2 + 3*d**2 + 2*d**2. Calculate s(n(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3043*q**2 - 355*q - 1.\nAnswer: 6086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:06 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 + 3061*d**2\/2 + 59061*d\/2 - 102312 = 0.\nAnswer: -87\/4, 3, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119262680 to the nearest integer?\nAnswer: 10921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84973?\nAnswer: 7, 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.88342 hours to milliseconds.\nAnswer: 193980312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124051 (base 6) to base 11.\nAnswer: 850a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + 2*s + 0*s)*(-3 - 2 + 4)*((6 + 4 - 6)*(-8 + 8 - 2*s) + 4*s - 5 + 5) in the form u + o*s**2 + p*s and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvvkzazzozvvkkv. Give prob of picking 1 a, 1 k, 1 o, and 1 v.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11001010100111000110?\nAnswer: 11001010100111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1644800 and 59\/449750.\nAnswer: 57568000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 141*r**3 - 522081*r**2 + 522081*r**2 + 5.\nAnswer: 141*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -104589 and -104576 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 8*a**2 + 4*a - 12. Let p be i(9). What is the greatest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 92, 100, 122, 164, 232?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-2))\/((-3)\/9 + (-241)\/1446)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q + 40*q - 69930 = 24*q. List the prime factors of q.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11233 times 8?\nAnswer: -89864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 34*v - 53. What is the remainder when c(-38) is divided by (72 + 0)*2\/4?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19724 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 48*d - 5. Let i(k) = 1. Determine -20*i(r) - 4*n(r).\nAnswer: -192*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6578750 and 38000?\nAnswer: 52630000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x - 3*x**2 + x - 5*x + (8*x - x - 9*x)*(-5*x + 4*x + 0*x).\nAnswer: -x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 5 (c) -4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18)\/((-2)\/(-10)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -132 + 3 + -2 + 0. What is the common denominator of -79\/10 and -3 - (b\/8 + 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 43*h + 54991. Give c(-257).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2341 + 573 = 185*c - 231. Solve -5*l - 2*t + c = 7, 0 = 5*l - t + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*z**3 + 17*z**3 - 24*z**3)*(4*z - 4*z + 2*z**2).\nAnswer: 72*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h + 8. Let g(o) = -19*o - 15. Let m(i) = 3*g(i) + 5*l(i). Let j be m(-1). List the prime factors of 0\/(-1) - (-77)\/j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 greater than -1778.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 849, -4\/5, 1075?\nAnswer: 849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 3830*p + 3832*p - 5, 2*x = 3*p + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h**4\/11 + 26572*h**3\/11 + 5886*h**2\/11 - 26572*h\/11 - 5904\/11 = 0 for h.\nAnswer: -1476, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/98 - ((-188)\/(-7))\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:24 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-33)*68\/(-68)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1158 and 14444559?\nAnswer: 5575599774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 997 and 3?\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -3. Suppose 6 = y*r - 0*r, -5*o = -r - 558. Suppose -w + o = 3*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.2 (b) 3 (c) 1\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 541*j**2 - 285*j - 3778. Determine r(-271).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 1197?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 38\/33?\nAnswer: 38\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -62. What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67098227?\nAnswer: 7, 307, 31223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) 9 (d) 1 (e) -37 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.2. Suppose 4*p + 2*k = 4, 4*p + 2*k - 8 = -k. Is j at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*i - 132*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - 23*11\/(-77) - -2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0189 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34, 4, 13 in ascending order.\nAnswer: -34, -4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54309 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/173393191 or -1?\nAnswer: -4\/173393191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from tjtjjjjwjyyj.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 7:48 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 14 - 14)*(-3 + 4 + 0)*(0 + 2*s + 0) as p + j*s + t*s**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7653 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 - 5*a + 2. Suppose -4*d + d + 9 = 0. Let w be x(d). Let r = -23 - w. Calculate the remainder when 49 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 10*v**2 + 12*v + 24. Determine z(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 26, 4?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -3*x**2 + 33. Let z(u) be the first derivative of -u**2\/2 + 1. Calculate o(m) - 9*z(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27419 + -27419.0000037657. What is k rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -883 + 3531\/4. Sort -9\/8, -2\/11, k in decreasing order.\nAnswer: -2\/11, k, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2 - 4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -42*b**2 + 8 + b**4 + 11*b - 11*b + 11*b**3 + 4*b + 48 = 0?\nAnswer: -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 595344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-63)\/18)\/((-2)\/12). Which is smaller: 20 or f?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-827 + 827 + 68*u)*(-153*u + 280*u + 48*u) to d*u + b + p*u**2 and give p.\nAnswer: 11900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010101011 + -100?\nAnswer: 1100010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/294*14\/12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 15, n: 2}. Give prob of picking 1 g, 1 n, and 1 h.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*s + 268 = 29*s. Let a(r) be the second derivative of -5*r + 0 - s*r**2 - 1\/3*r**3. What is the derivative of a(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57805 take away -2071?\nAnswer: -55734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.019 + 9.619. Let d = 10.1 - i. Which is the biggest value? (a) d (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 123?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/6 + -4\/3. Let y = -124\/179 - -14\/537. What is the closest to p in -2, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -39. Which is bigger: -2\/17 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + 2*(2*(sqrt(180) + 0))**2 + 4 + 3*sqrt(180)*6.\nAnswer: 108*sqrt(5) + 1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1011, -1064, -1117?\n\"Answer: -53*h - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4813?\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(7\/3)\/j*j**12)\/(j\/(j\/(((j*j*j**8)\/j)\/j)))**(1\/11) assuming j is positive.\nAnswer: j**(449\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let x = 4 + -3. Let j = -6 + x. Which is the nearest to r? (a) -0.3 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112377, 449439, 1011197, 1797651, 2808801, 4044647, 5505189?\nAnswer: 7190427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 17 - 3. Factor -p**4 - 4*p**4 + c*p**3 + 152*p**2 - 127*p**2 + 15*p.\nAnswer: -5*p*(p - 3)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) - sqrt(833))*1 + sqrt(833) - (1 + 2 + sqrt(17) + -2)**2.\nAnswer: -18 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161710301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*g - 8 = -0*a, -3*a - 37 = 4*g. Let t(q) = -36*q**3 - 8*q**2 + q + 10. Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2. Let j(o) = -45935*o**2. Calculate j(d(n)).\nAnswer: -1653660*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 - 0.1. Suppose 31*z - 41*z + 10 = 0. Let m be (z + -11)*(2 - (-119)\/(-56)). Which is the biggest value? (a) m (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 106199490\nAnswer: 424797960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - (-3)\/(-9)*0. Suppose 5*h - t - w = 0, 4*t + 15 + 6 = 3*h. Let l(d) = -3 - d**2 + h. Let s(n) = 3*n**2. Calculate s(l(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*r - r. Let l = -2 + r. What is the units digit of l*(0 - -1) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 2 (c) -4 (d) -22.991 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 2}. What is prob of picking 1 t and 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4 - 5 - m**2 - 72*m + 62*m. Give k(-12).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 356.481982 to 2 dps.\nAnswer: 356.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70715*h**3 + 56398*h**3 + 11693*h**3 - 26955*h**3.\nAnswer: 111851*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 29. Let t = 8 + -11. Let a be -1 + ((-6)\/4)\/t. Is a >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 19 = 3*w, -15 = -3*j - 0*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3627 + 1656 = 3*y. Let v = 3449\/2 - y. What is the common denominator of v and -49\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 161 + 54 + 52 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435431 is divided by 3245?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -7*q**5\/60 + 15*q**2 - 19*q - 1. Let b(r) = -6*r**2 + 20. Give g(b(w)).\nAnswer: -252*w**4 + 1680*w**2 - 2800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)*i*i*(i\/(i*i\/(i**(-5)\/i)*i*i))\/i*(i**(2\/9)*i*i*i)\/(i*i**(-2)\/i))**(-43\/3) assuming i is positive.\nAnswer: i**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -15. What is the highest common factor of 33 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 10*c - 4. Let t be q(9). Suppose -j = 4*i, 0*j = -t*i - 4*j. Is -2\/73 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 110*p + 108*p + 232 = 0, 20 = -5*p. Let w be ((-6)\/(-9))\/(2\/276). Let z = a + w. Solve -k - 3*k = -z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 11) to base 3.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 705\/2657?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by -1 + 6\/2 - (-17 - -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -345*c**4\/4 + 7*c - 59. Let a(o) = -3*o**2. What is w(a(b))?\nAnswer: -9315*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1647)\/(-2562))\/((-9)\/2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 682.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -26. Calculate the remainder when 12 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 1:26 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -881461 + 3*n**3 + 881461 + 158*n**2.\nAnswer: 3*n**3 + 158*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 9. Let b be g(-5). Let p = -10 + b. Suppose 447 - 455 = d. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, w: 2, i: 9, s: 1}. Give prob of sequence sw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.99 - -0.01. Suppose 0 = 3*u - 15 + 3. Let m(h) = -2*h. Let p be m(-1). Which is the smallest value? (a) x (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 5, -2, 28, 4, -5\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, s: 3, f: 8}. Give prob of picking 2 j.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-4)\/(-516))\/(347\/(62460\/(-120))).\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-5.9316\nAnswer: -2.37264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 99\/3559 (b) 40 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020142704 rounded to seven dps?\nAnswer: 0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-7 + 9)*2\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 19300003*c + 3. Let g be y(-1). Round g to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 + -19. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2210 - 1297. What are the prime factors of x?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284900 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -8*l - 8, -2*i + 4*l = 8 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 5*z**2 + 3*z + 1. Let w be o(4). What is the units digit of 7\/1 + 1 + w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.94 + 0.06. Let z = -7 - -6. Let n = 85\/3 + -28. Which is the nearest to z? (a) q (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127 + 126. Let p(d) = 6*d**2 + 2*d. Let g(v) be the third derivative of 0*v**3 - v**2 + 0*v**4 + 1\/60*v**5 + 0*v + 0. Give h*p(r) + 8*g(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z - 2*z - 5*z)*(2 - 1 + 0)*(-5 + 2 + 1)*(-5 + 3 + 0 + (2 + 0 + 0)*(-4 - 2 + 1)).\nAnswer: -384*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2. Let z(k) = -20*k + 2. Let f(l) = -61*l + 7. Let o(t) = -2*f(t) + 7*z(t). Determine j(o(s)).\nAnswer: -648*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 848732402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20 and -137\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.35335 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*q - 6*q - 14 = 0, -p - 5*q = 6. Suppose -b - 15 = -6*b. Suppose -10 = d - 5*u, -b*u - 2*u = -15. Solve -3*x = -17 + 5, p*x = d*l - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 145\/50 - (-3)\/2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:29 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*(j*j*j**15)\/j*j)\/j)*j*j*j*j**(-12\/11))\/(j**(-4\/5))**(-2\/3))**(-4\/5) assuming j is positive.\nAnswer: j**(9652\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25381, -25391, -25407, -25429, -25457?\nAnswer: -25491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1812 divided by -4\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 5216 - 5244. Sort -1, z, -2, -47 in descending order.\nAnswer: -1, -2, z, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 0.2, -3, 0.8.\nAnswer: -6, -5, -3, 0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a0 (base 15) to base 14.\nAnswer: b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {w: 10, c: 4}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/15 + 44*z**2\/3 + 6416*z\/15 + 7424\/5 = 0 for z.\nAnswer: -58, -48, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 0*v - 1\/12*v**4 + 0*v**2 - 1\/30*v**5 + 0*v**3 + 5. Find a such that m(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000204823158 to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/24 - 7*b**3\/6 + b**2. Let q be t(-7). Let v be q\/((-1)\/(3\/6)). Solve -3*p + 2*m - 15 = v, 6*p + 3*m = p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-228)\/208 - (22960\/(-448))\/(-41)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - (-4 - -3)) - (-49 + 47).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 68a41 (base 11) in base 3?\nAnswer: 12001211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*z - 1005 + 235 = 0, w - 154 = -2*z. Let h(v) = 3*v**2 + 94*v - 1989. What is the smallest common multiple of w and h(-46)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 2, t: 1, e: 1, w: 1}. Give prob of picking 1 t and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41086271*b**3*n - 71*b**2*n - 2*b*n + 8*b - 116*n - 10 wrt b?\nAnswer: 246517626*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3117014 to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-18 - -34)) + 41 - -12.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851390.\nAnswer: 2, 5, 285139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778860 to the power of 1\/2, to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -31, -60, -97, -142, -195?\n\"Answer: -4*z**2 - 9*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082 - 1046 - 1086 + 3212 + 11249*n**2.\nAnswer: 11249*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1829 * -27.\nAnswer: 49383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*o + 109*o + 111*o + 104*o - 532*o + 105*o + 3*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -8*m + 8. Suppose 0*k + m*n = 3*k, n - 3 = 0. Suppose -k*o + 21 = 3*c + o, 5*c + o = 13. Solve c*u - 3 = 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19440866.\nAnswer: 2, 9720433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10066.665 rounded to the nearest ten?\nAnswer: 10070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*(12*a**4 - a**3 - 9*a**4 - 6*a**4).\nAnswer: 6*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most 1479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*f**3*r**3 - 2*f**3 + 2*f**2*r - f*r**4 - 3*f*r wrt r?\nAnswer: -642*f**3*r - 12*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 25 = 0, -3*b - 3*o - 56 = -o. Let f = -108\/5 - b. Is 0.3 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1) + 64 + 3. Let c be a\/10 + 1\/5. Solve r + 4*v = -c, 0*v + 8 = -4*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14\/2035 - -307621\/48840. Calculate the common denominator of h and -107\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*t + 41*t + t**2 + 17*t + 32*t - 13*t to the form p*t**2 + g + w*t and give w.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v**4 + 5*v - 14*v - 11*v - 7*v wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4025 + -23?\nAnswer: 4002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 1\/315 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 5*b**2 + 624837*b**3 - 312021*b**3 - 312819*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s + 12. What is the common denominator of -5\/9 and ((-9)\/s + -17)*12\/(-80)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -123, -140, -155, -168, -179, -188?\n\"Answer: i**2 - 22*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5688 + 11327. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2905 less than or equal to -3005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*o + 52 - 17, -5*v - 3*o = -37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*j**4 - 14*j**2*x**2 + 724*j*x**2 - 2*j wrt j.\nAnswer: -900*j**2 - 28*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 15*l**5 + l**4 - 21*l**3 - 17*l**2 + 5. Let j(m) = m**5 + m**4 + m**3 - m**2 + 1. Let k(i) = -10*j(i) + 2*v(i). Let k(x) = 0. Calculate x.\nAnswer: -1, -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 168\/(-49)*(-70)\/4. Factor 56*n - 20*n**3 - r*n - 16 + 28*n**2 + 36*n.\nAnswer: -4*(n - 2)*(n + 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -5*p**2\/2 - 5*p + 13. Let q = 1 + -5. What are the prime factors of k(q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134210.\nAnswer: 2, 5, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4877?\nAnswer: 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411 - w**2 + 419 + 3*w**2.\nAnswer: 2*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -744 + 759. Solve -2*g + b = -5*r - 3*g, 3*r = g - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8977 - -15614. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 6*l**2 + 3*l - 8. What is z(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 3. Let c(w) = -2*w**2 - 9*w + 5. Let m be c(-5). Suppose 11 = -x - m*x. Let j(d) = -10*d - 16. What is x*i(g) + 2*j(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3919273916 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 488748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/5 - 3*z**4\/4 + 6*z. Find the third derivative of v(i) wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.88 * -243\nAnswer: 213.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 18*f**3 - 5*f**2 + 12*f + 2. Let l(k) = 10*k**3 - 3*k**2 + 7*k + 1. Determine -7*l(o) + 4*u(o).\nAnswer: 2*o**3 + o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20512, 0, -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - (0 - (-7 - (-5 - 16))))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose b = -5*q + 158 - 28. Let t = 7 + q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -358, -9, 1?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 2019225702*a - 339772702968116067.\nAnswer: -3*(a - 336537617)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471.5382 - 0.045.\nAnswer: 471.4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1430 - 11407\/8. Find the common denominator of p and (10\/(-24))\/(9\/(513\/(-2))).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + g = -0*u + 12, 12 = u - 4*g. Solve -6*m = -2*m - u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*o - 62*o + 85*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*g + a - 1, 3*g - 22 = -5*a. Let f(l) = 3*l + 96. Let t = 348 - 371. Let r be f(t). Calculate the highest common factor of r and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13248 divided by -576.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7011*c + 21024. What is n(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9082 is divided by 4541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 2*q - 9. Determine h(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g**3 + 21*g**2 - 3*g + 17. Let t be p(-11). Is (10 - 5)*(-2 - -3) - t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.18 and 327?\nAnswer: 58.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2 - 0)\/(10\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4) + (0 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3\/2, 2\/3, 33, -1\/3, -64, 4 in ascending order.\nAnswer: -64, -1\/3, 2\/3, 3\/2, 4, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 2 + 22 - 20.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 67. Suppose -p + 0 = -i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (350 + 166 - 698)*(-g + g + 2*g)*(15 + 1 + 3) to u + q*g and give q.\nAnswer: -6916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 43*p + 2. Let z be o(-32). List the prime factors of ((-116)\/(-10))\/((-7)\/z).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3\/4 - 55575*j**2\/4 + 499446*j - 4492827 = 0 for j.\nAnswer: 18, 18489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 54*z**2 - 70*z - 775. Let v be a(-55). Solve 0 = 14*o - 24*o + v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 3*l + 1. Let r be p(2). Suppose -3*b = -9 - r. Which is smaller: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = 7. Let o = p - -7. Calculate the common denominator of -95\/8 and -3 - (-487)\/78 - o.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 - b**2 + 2*b - 1. Give n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f - 1. Let p(u) = -1. Let k(n) = 19*n - 76. Let l(t) = -k(t) + 76*p(t). Let b be l(-1). Let y = 19 - b. Give q(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 11. Let g be i(3). Let f(l) = -7 + 4*l + g + 0. Let n be f(1). Solve v - 1 = -n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -28*g**2 + 15924*g - 11390. Calculate n(568).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:56 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -7\/1854, 1.4, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3100*m - 674.\nAnswer: 3100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.401 + -0.431. Sort 0.2, -0.1, -1\/2, m in decreasing order.\nAnswer: 0.2, m, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1060432\/35 - (-134)\/(-2345)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + 67 + (59 - 200).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/13 - 80*d**2\/13 - 154*d\/13 - 76\/13 = 0. What is d?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5762522, -5762434, -5762346, -5762258?\n\"Answer: 88*f - 5762610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 0*x + 4*x + 4*x + 0*x - 2*x + (-3 + 1 + 1)*(4*x - 4*x + x))*(4*x - 4*x + 6*x**3) as p*x**3 + c + q*x**2 + v*x**4 + n*x and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -635369*b**3*p**3 + 5*b**3*p + 4665877*b**2*p**3 - 2*b**2 wrt b.\nAnswer: -3812214*p**3 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344*w = 1345*w + 7 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 20, -680, -3 in descending order.\nAnswer: 20, 5, -2, -3, -680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1\/3, -0.3, 643 in increasing order.\nAnswer: -0.3, 1\/3, 13, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 10*k - 20. Let w be ((-3)\/2)\/(k\/(-10)). What is the third derivative of 24*p**2 - 7*p**3 + 2*p**3 - 26*p**2 + 2*p**w wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185)\/2997*-27*(-6)\/4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*s = -12, 3*s + 11 = a - 0*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5023308*v**3 - 2401412964*v**2 - 129895395*v - 1756650 = 0. What is v?\nAnswer: -478, -35\/1294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3598 divided by -1.\nAnswer: -3598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w*w*w*w**(-1)*w)\/(w**1*w)**26 assuming w is positive.\nAnswer: w**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 6. Let y(a) be the second derivative of -a**3\/6 - a**2\/2 + 5788*a. What is n(q) + 4*y(q)?\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((15\/(-6))\/5)\/(4\/3984). Let r = 1264 + b. List the prime factors of r.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 1, k: 1, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1679 and 3886958?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7765834 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9*r = 8. Suppose r*v = s - 52, -3*s + 148 = -0*v + 2*v. Let n = 70 - s. What is the greatest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 20, 15, 8, -1, -12, -25?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**2 + 1\/8*r**4 + 0 + 1\/2*r**3 - 1\/10*r**5 + 0*r. Let j(k) = 0. What is k?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 52. Let w = -19.3 - t. Round w to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 8, x: 2, i: 2}. Give prob of picking 1 a and 1 t.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*(sqrt(700) + 0) + -3))**2 - (4*(sqrt(252) + 1 + 2 + sqrt(252))*-5)**2.\nAnswer: -305964 - 27360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.8. Suppose 6*b = 705*y - 702*y, -2*y - 3 = -b. What is the closest to o in b, -0.18, 4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 0.8541, 0.007?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -29*j**5\/5 + 12*j**3 + 2. Find the third derivative of k(g) wrt g.\nAnswer: -696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -9 (b) 0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p*u + 4*p*v*y + 3*p*y**3 + 13*p*y**2 + 236*u*v*y**3 + 9*u*y**3 + y**3 wrt u?\nAnswer: p + 236*v*y**3 + 9*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91606?\nAnswer: 2, 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68)\/sqrt(4) + (0 + sqrt(425) - sqrt(425))**2)*-4*6.\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 355\/(-639) + 0*8\/(-160)*-4?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12 - 480*p**3 + 2*p**2 + 2409*p + 4 + 8 - 673*p wrt p.\nAnswer: -2880*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1727420 + 209860. Let n = -1937280.6800057 + k. Let a = n + 0.68. What is a rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 3298?\nAnswer: 29\/3298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**7)\/((y*y*y\/y**(1\/2))\/y))\/(y**(2\/3)*y*y**(-9))*(y**(-4)\/(y*y\/y**9))\/((y\/(y**4*y))\/y**(1\/10)) assuming y is positive.\nAnswer: y**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/12 - 7*p**3\/6 + 3*p**2\/2 + 9*p. What is k(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 - 26*n**2 - 4*n + 6. Let s(k) = 6*k**3 + 27*k**2 + 4*k - 7. Let v(l) = -4*h(l) - 3*s(l). Find the second derivative of v(a) wrt a.\nAnswer: 12*a + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v + 40 = 31*v. Does 19 divide (-3)\/(-6) + 0 + (-1705)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 15. Let k be j(3). Let d be k - -18*6\/12. Solve -z + 6*z = -d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405946955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 - 123*y**2 + 86 + 32 + y**3 + 89*y**2 - 115*y.\nAnswer: (y - 37)*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 >= 313701\/2752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -395 + 211. Let p = l + 128. What are the prime factors of (160\/p)\/((-6)\/63)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*k - 4*a, 2*k + 2*a = 0. Suppose k = 4*x - 315 - 85. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 + 6*i. Let u be z(-5). Suppose 0 = 2*x - 0 - 4. Solve -x*c + u = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022189 to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1551 + 1703?\nAnswer: 3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 5 - 5 - 1 + 4*h**2 to p*h + d + q*h**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7144896.\nAnswer: 2, 3, 11, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 0*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 1. Let k be f(5). Suppose d = -d + k. What is the units digit of d\/2*(-18)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -552.3*-0.038\nAnswer: 20.9874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 24.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Which is the closest to j? (a) 0 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8325\/(-1834830))\/((-1)\/19)*-4*3\/10\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:42 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080578362?\nAnswer: 2, 1429, 378089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141330 = -10144*o + 10129*o. What are the prime factors of o?\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -4*u**3\/3 + 3*u**2\/2 - 3*u - 26. Let b(j) = j**2 - j + 1. Let v(q) = 6*b(q) + 2*i(q). Let h(w) = -15*w. Give v(h(t)).\nAnswer: -450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.7207 and 0.065341.\nAnswer: 7.786041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -39. Calculate the lowest common multiple of b and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -25*r + 2. Let s(d) = 4*d**2 + 10. Let c(u) = 6*u**2 + 16. Let w(q) = -5*c(q) + 8*s(q). What is b(w(i))?\nAnswer: -50*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155386, 155412, 155472, 155584, 155766?\nAnswer: 156036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47154 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43882 and 65230?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/46, 1\/3, 2, -0.257, 3 in decreasing order.\nAnswer: 3, 2, 1\/3, 1\/46, -0.257, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*y - 32 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*737963.\nAnswer: 147592.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, e: 3, y: 2}. What is prob of sequence ey?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-19\/5)*f)\/f**(2\/15)*((f**21*f)\/f)\/(f*f\/f**21))**(5\/9) assuming f is positive.\nAnswer: f**(556\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**6\/120 + z**5\/60 + 11*z**4\/24 - 8*z**2. Let a(o) be the second derivative of j(o). Differentiate a(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 698*s**5 - 666*s**2 wrt s.\nAnswer: 41880*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2535730605721\/314008478 + 1\/22429177. Let s = w - 8079. Calculate the common denominator of s and 29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k, 2*x = -0*x - 5*k + 117. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161713723 to the nearest integer?\nAnswer: 12717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:27 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 - 30 = -2*d. Suppose 4*a - d = -5*y, -3*y - 4*a + 152 = -y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2 + 165*a - 162 = 0.\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2 + (sqrt(72) - (sqrt(72) + -1))) + ((1*sqrt(72) - sqrt(72) - sqrt(72)) + 4 - sqrt(72))*4)*-5)**2 + 0 + -1.\nAnswer: -33600*sqrt(2) + 120099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -n + 170, 0*n = q - 4*n + 53. Let h = -37 - q. Find the common denominator of (1\/18)\/(h\/6) and 74\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -25*v**2 + 1\/24*v**5 - 1\/1344*v**8 + 1\/24*v**3 + 1\/168*v**7 - 5\/96*v**4 - 1\/48*v**6 + 0*v + 0. Solve x(z) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2635003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62759872 rounded to two decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 - 67. Suppose 5*k = 4*k - 6. What is the remainder when a is divided by k*(-6)\/9*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:42 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - (-4 + -5 + -3 + 23)) + (-80 - -2)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/(-7) - 7\/(-637)*-29.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t - n - 2*n, -6 = 3*t - n. Let v = 30 - t. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4989 + -4988.98195. Round m to four dps.\nAnswer: 0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2471 + -2447. Solve -2*q - 8*p + 12*p = -y, q + 4*p = -18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 6258780080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 497 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 60.2, -12, -2, 0, -40 in descending order.\nAnswer: 60.2, 2\/3, 0, -2, -12, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, 156 in ascending order.\nAnswer: -3, -1, 3, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 97200000 = -0*w. Suppose 2*g = -g + w. What is g rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {i: 1, f: 1, o: 1, a: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 4*f - 3. Let r be z(3). Let i(n) = -3*n - 5. Let d be i(-6). Suppose d = s - r*s. What is the remainder when 25 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*((sqrt(1700) - -2*sqrt(1700))*-4 + sqrt(1700) + sqrt(1700) + 0 + 5)*4)**2*1 + -4.\nAnswer: -14400*sqrt(17) + 2720320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + sqrt(1700) + -2 - sqrt(1700) - sqrt(1700)*-2*-3) + 0)**2 + 0.\nAnswer: 480*sqrt(17) + 61216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**3 + 18*r**2 + 28*r - 30. Let k(t) = t**3 - 3*t**2 + t + 6. Give f(m) + 5*k(m).\nAnswer: 13*m**3 + 3*m**2 + 33*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1680*m**3 - 1127*m**2 - 2*m.\nAnswer: -10080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*b = 1263*b - 220 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 36. Calculate h(15).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2 + 308 + 2*t**2 + 4*t**2 - 308. Let c(k) = 6*k + 2*k - 4*k. What is p(c(l))?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2441*t - 2*t**2 - 2441*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.402 + -2.598. Let k be (-22)\/(-12) + 3\/(-9). What is the nearest to 2 in -1\/2, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 62. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2744, -20877, -70064, -165821, -323664, -559109?\nAnswer: -887672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16909 + 1714 = 523*t + 11478 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**2 - 28*b + 3. Let u be s(16). Suppose -u*a + 51 + 13 = 0. What is the lowest common multiple of a and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2\/(-12) - 38\/(-228). Suppose -5*a - 886 + 3681 = j. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 165*k - 1561. Let h be m(-174). What is the greatest common divisor of h and 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*b + 10 = 0, -45*y = -49*y + b + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -3*v**4\/4 - v**3\/3 + v**2 + 3*v. Let w(b) = b**2. Give -s(y) - 5*w(y).\nAnswer: 4*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128956104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 3*f + 3. Let x be m(-3). Solve -5*z**3 + 2*z**2 - 1 - z**4 + 4*z**5 + z + 3*z**3 + 0*z - x*z**5 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49560, -99124, -148694, -198270, -247852?\n\"Answer: -3*r**2 - 49555*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2\/3 + 815075*p\/3.\nAnswer: 5*p*(p + 163015)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3166 - -5031. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t - 43. Let o(l) = l - 1. Let c(r) = n(r) - 5*o(r). Let x be c(20). Suppose 5*s = 4*m - 254, -x*m + 6*m - 270 = -3*s. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*h - 201*h + 10*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d**2 + d)*(49*d - 67*d + 210*d) - d**2 - 3*d**3 + d**2.\nAnswer: -387*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1385 = 5*p - 5*q, -5*p + 748 + 635 = -4*q. Suppose 5*x = 5*t + p, -2*t - 151 + 6 = 5*x. Is 4\/(-10) + (-31284)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626093 is divided by 949?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.66661 nanoseconds in seconds?\nAnswer: 0.00000005566661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184940, -740017, -1665240, -2960615, -4626148, -6661845, -9067712, -11843755?\nAnswer: -14989980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12597 = 3829*b - 3816*b. Calculate the lowest common multiple of b and 255.\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 37083*k - 2113733. Give t(57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -542*c - 336*c. Let b = -0.04 - -4.04. Let z = -8 + b. Put z, 0.2, c in descending order.\nAnswer: 0.2, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182939, 182911, 182891, 182879, 182875, 182879?\nAnswer: 182891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + ((-1352)\/(-42))\/(29\/870). Calculate the highest common factor of x and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffqfbfbbfbbb. Give prob of sequence bf.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erruurrruuururppurun. Give prob of sequence ern.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-8435653 + 8435653 + 1839*w**5) + (4*w**5 - 3*w**5 - 3*w**5)*(2 - 3 - 1).\nAnswer: -1835*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1024, 8178, 27594, 65404, 127740, 220734?\n\"Answer: 1022*k**3 - k**2 + 3*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(192))\/((sqrt(12) + sqrt(108))*3))\/((4*(sqrt(648) - -2*sqrt(648)) - sqrt(648))*3).\nAnswer: 5*sqrt(2)\/3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqfbfqqqqbpbq. What is prob of sequence qfpb?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 202 = -f. Let w = 4095\/17 + f. Let q = 3 + -4. Which is the closest to q? (a) 0 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 290275335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1307*b + 117 = 1304*b + 3*x, 0 = -3*b + x - 35 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000478 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1928917\nAnswer: -2\/1928917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**7\/21 + n**6\/3 + 4*n**5\/5 - 22*n**4\/3 - 32*n**3\/3 + 64*n**2 + 1568*n. Suppose l(u) = 0. What is u?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**7\/21 - 2*g**6\/15 - 3*g**5\/10 + 2*g**4\/3 + 4*g**3\/3 - 2*g + 2. Let s(i) be the first derivative of x(i). Factor s(t).\nAnswer: 2*t*(t - 2)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9688 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = -4. Suppose 2*h + 7 = 5. Let n be (h\/g)\/((-1)\/(-10)). Solve 2*a = 3 - n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12750 - 18*f**2 - 12748 + 20*f**2 + 8986*f)*(-f - 2*f + 2*f).\nAnswer: -2*f**3 - 8986*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -361 in 21\/5, -8, 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -1951*r**2 - 85*r = 0.\nAnswer: -85\/1951, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.909 + 0.091. Let v = z + -6. Which is the second smallest value? (a) -1\/13 (b) 3 (c) 1\/2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-18 - -2)\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.3 - -38. What is the biggest value in 0.4, m, 6\/5, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1752692, -2\/11 in decreasing order.\nAnswer: 1752692, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 290492929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 4\/43, 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 4*t**2 - t - 7. Calculate n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 + 11 = 0, 5*z + 10 = -3*q. Let v(o) = 12*o + 17*o + q*o - 5*o. Let k(c) be the second derivative of c**4\/12 - 6*c - 3. Determine v(k(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + z = -2*m - 17, 4*m = 5*z - 48. Let g(n) be the second derivative of 7\/2*n**2 - n**3 - 1\/12*n**4 - 9*n + 0. Give g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/(-416) - ((-848)\/(-64) + -13)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 2\/(2\/(-91)). Let f be 4 + n\/(8\/2). What is the greatest common divisor of f and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Solve 5*l = 4*n - 25, n + 15 = -3*l + v*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2. Let p(m) be the first derivative of -m**3 + 7. Determine t(p(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00673 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1235 + 793. Calculate the common denominator of (-12)\/(-78) - (-965)\/l and -71\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**5\/3 + 150*r**4 - 479720*r**3\/3.\nAnswer: 5*r**3*(r - 268)*(r + 358)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245813 by 2.\nAnswer: 245813\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18673426 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8046 minus -5?\nAnswer: 8051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 192509569 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 + 118\/4). Let v be 51\/105 + 3\/(-15). Let o = 8 + -13. Sort o, v, j in decreasing order.\nAnswer: v, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.758379ml in litres?\nAnswer: 0.004758379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1523 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 - 131 = -210*f - 27. Calculate the greatest common factor of f and 3678.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, l: 1, j: 7}. Give prob of sequence uu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icninciciiii. What is prob of sequence cni?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -3. Suppose 94 = -4*z + 2*k, -62 - 14 = 3*z + 4*k. Let n = b - z. Solve 3*d = d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 3. Let j be b(3). Let g = j + -3. Solve g*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnbnnnnn. Give prob of picking 2 n.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/20 - (1070\/50 - 12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-8))*a**1)\/(a\/(a*a**(-2)))**(1\/23))**(2\/139) assuming a is positive.\nAnswer: a**(410\/3197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*d = -7*t + 35, -4*d = -4*t + 56. Calculate the highest common divisor of t and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.6 + -19.6. Let x = 2 - 4. Let h = -4 - x. Which is the third smallest value? (a) h (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 18224332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nbbqenbnqbnncbn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 1. Let x = 0 + 1. Let p(v) = 6*v**3 + 6*v**2 + 6. Suppose -44*t + 112 = -152. Calculate t*f(z) + x*p(z).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37319a (base 11) to base 10.\nAnswer: -589863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 1. What is the remainder when 75 is divided by u(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 27*f**3 + 66*f**2 - 96.\nAnswer: 3*(f - 1)*(f + 2)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6603805 and 91?\nAnswer: 46226635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1015\/1218 - 19\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b\/((b**(-4)\/b)\/b)))\/b*b)**(-7\/11)\/(b**(-1)*b**(3\/8)) assuming b is positive.\nAnswer: b**(503\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -183, 3\/65, -49\/3, 1\/4, 0.2, 1, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 8*o + 2. Let b be c(-8). Find y such that -2*y - y**b + 3*y**4 + 3*y**3 - y - 2*y**2 + 0*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evt when three letters picked without replacement from tevtttttttttt.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/3))\/k*k*k)\/(k*k**(-14)*k*k)*k**(-12)*k**(-2\/5) assuming k is positive.\nAnswer: k**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26895 by -5379.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034*m**2 + 1044*m**2 + 1055*m**2 - 3128*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Let m(x) = x - s*x + 2*x - 2. Let k be 7\/(0 - -1 - 0). Let q(f) = -4*f - 7. Give k*m(g) - 2*q(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1730092.000058 - -1730100. Let d = -8 + k. What is d rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*s - 4 + 1165*s - 587*s + 4.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*h - 8*h = -11, 0 = -2*d + 5*h + 61. Suppose c - 15 = -4*c, -2*l + 19 = -3*c. Suppose l*t = d*t - 232. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j*n*p**3 - 2*j*n*p - j*p**3 + 4*j*p**2 + 22*j*p - 2*n*p**3 + 3*n*p - 4*p**3 wrt p?\nAnswer: 30*j*n - 6*j - 12*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 25. Let i(d) be the second derivative of -1\/5*d**5 + 0*d**2 - 2*d - 1\/12*d**4 + 0*d**z + 0. What is the third derivative of i(p) wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2778, 5493, 8206, 10917, 13626, 16333, 19038?\nAnswer: 21741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a microgram in nanograms?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 777*h**2 + 4*h + 4. Let x(n) = 1555*n**2 + 7*n + 7. Give -7*b(z) + 4*x(z).\nAnswer: 781*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50919122*l**2 + 184366106*l + 2 wrt l?\nAnswer: 101838244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**2 - 5 - q**2 + 5.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhll when four letters picked without replacement from {g: 2, l: 2, h: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 2184?\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2979239 is divided by 3390.\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 141200005 = 5*o, -8*q = -9*q + 4*o + 70599996. What is q rounded to the nearest 1000000?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101110010010110 (base 2) in base 6?\nAnswer: 11310434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 2002*c + 5988.\nAnswer: 2*(c - 998)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 2.2 (c) -2 (d) -60 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 6*j. Suppose j = -3*v + 84 + 252. Is 13 a factor of -4 + (v - 1) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2946 and 86907?\nAnswer: 173814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 16 = -11*c. Suppose -q = 5*r + 2870000, r = -c*q - 3*r - 11480000. What is q rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -24. Suppose -2*j = -3*j - p*v + 50, -5*v - 251 = -4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d + 59 = 5*c, 2*d - 163 = -c. Let y be (9\/(-6))\/(2\/(-16)). What is the greatest common factor of y and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 83 = -3*b, -1 = -5*b - 6. Solve 0*n - j = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5629812946?\nAnswer: 2, 18043, 156011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 674*j + 8888 = 29782 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w - w)*(0*w + 0*w + w) + w**2 + 0*w**2 + 0*w**2 + ((-w - 2*w + 5*w)*(-2 - 1 + 0) - 1 + 1 + 2*w)*(-1 + 1 + 1)*(-4*w + w + 6*w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 12 + v**2 - 12)*(1 - 7 + 2).\nAnswer: -4*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42 - -2 - (1 - 2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -2*w**2 + 2. Let p(s) = -s**3 - 7*s**2 - 4*s - 11. Let u be p(-7). Let l(j) = 11*j. Give u*d(h) + 6*l(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 6*x**2 - 7*x - 2. Let k = 47 - 39. Suppose -21 = k*q - 11*q. Determine o(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19515906.\nAnswer: 2, 3, 1084217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*v + 420, 5*u + 2016 = -v - 0*v. Is u\/(-10) - -3*(-2)\/15 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*a + 3*a**3 + 393*a + 395*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3*c**5\/20 + c**4\/6 + c**2\/2 + 3*c. Let r be 2\/8 - (-5)\/(-4). Let m(j) = -j**3 - j**2. Give r*i(a) - m(a).\nAnswer: -2*a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -94*p - 2105. Calculate q(-12).\nAnswer: -977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*43\/((-8170)\/(-7182)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0*i**4 + 2*i**4 - 3*i**4) + i**4 + 8*i**3 + 50 - 50.\nAnswer: 3*i**4 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540847207?\nAnswer: 17, 90638071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26587 + -26579. Calculate the remainder when 853 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + t)*(-2 - 2*t**2 + 2) - 713*t**3 + 2*t**2 - t**2 + 780*t**3)*(-2*t**2 - 2*t + 3*t + 0*t**2).\nAnswer: -130*t**5 + 63*t**4 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/239353 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 441*h**3 + 3885*h**2 - 752*h + 36 = 0. Calculate h.\nAnswer: -9, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:03 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0667168 centuries in months?\nAnswer: 80.06016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6172\/7, -0.5, 0.41, -12.\nAnswer: -12, -0.5, 0.41, 6172\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.2, 29, -0.059, 16, 0.3.\nAnswer: -9, -0.2, -0.059, 0.3, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -29. Does z = 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 151 = 11. Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32779.7*-6.5.\nAnswer: -213068.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -104543410 (base 6) to base 15\nAnswer: -27b3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2. Let p(n) be the first derivative of -83*n**6\/360 - 7*n**3 - n + 60. Let v(z) be the third derivative of p(z). Determine v(g(i)).\nAnswer: -83*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/11, -2\/13, 1, -15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_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: Let s = -3.106 - -6.106. Sort s, 0, 5\/2 in descending order.\nAnswer: s, 5\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, -0.4, 0.3243933, 3?\nAnswer: 0.3243933","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 7900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let y = m + 1. Suppose 0 = -4*r + 11 + y. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1116.234 to 1 dp.\nAnswer: -1116.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2272\/10 + -2 - (-4)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - p**3 + 0*p**3)*(18*p - 6*p + 21*p).\nAnswer: -66*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y, 59*y = m + 64*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 10:47 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -15, -4*u - 2*k + 4*k = -162. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 220*s - 1. Let p be r(1). Suppose -p = -2*w + w. Let o be (-4)\/18 - w\/(-135). Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 37\/30 (c) -45 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4\/3 - 8*w**3\/3 - 16*w**2 + 32*w\/3 + 128\/3 = 0. Calculate w.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:20 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.242, -4, 5, 3\/7.\nAnswer: -4, -3, 0.242, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111010110100111001011 + 11?\nAnswer: 110111010110100111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbll when four letters picked without replacement from llmbmmmlnnl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -62, -166, -354, -650, -1078?\n\"Answer: -4*d**3 - 6*d**2 + 2*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - l = -0 + 1, 2*l + 7 = s. Suppose 0*i = -3*t + i + s, t + 3*i = -3. Solve b - 2*b + 3 = t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x. What is g(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5 - (108 + -112)) + 1 + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 22 = 8933*f - 8930*f, -4*f - 2*g + 48 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.376515cm in nanometers?\nAnswer: 43765150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**2 + 484*d + 374. What is k(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173\/2 != 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 136*x**2 - 3683*x\/2 - 3135.\nAnswer: (x - 285)*(x + 2)*(x + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1\/4)\/(49\/((-3822)\/(-26)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-28)*38\/(-3). Suppose 262 = n*h - 18*h. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(99) + 1 + sqrt(99) + sqrt(99) + sqrt(99)) + (0 + sqrt(1100))**2 + -2.\nAnswer: 12*sqrt(11) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209840203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjxssjsxjsssjjjj. Give prob of picking 1 j, 2 x, and 1 s.\nAnswer: 7\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2\/4 + 13*d\/2 + 69\/4 = 0. Calculate d.\nAnswer: -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - -3*2*sqrt(76))\/sqrt(4).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 26. Suppose -24 = 5*o - 389. What is the remainder when o is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 - 446 = -3*t. Let n be (0\/(8\/2))\/(-2 + 3). Suppose 0 = -2*v + h + 53, v - 2*v + 3*h + 24 = n. Calculate the remainder when t is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -933 in -4, 4\/11, -9, 1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(288)*-3 + 0 + 2))**2.\nAnswer: -1296*sqrt(2) + 23364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -0.76. Let j = 1 - y. Suppose 108 - 68 = -8*w. What is the smallest value in w, 2, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 45. Let h be (-1)\/(10\/6) - 22\/l. Which is the third biggest value? (a) h (b) 13\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 10*n + 15. Let c(v) = -v**2 + 7*v - 10. Let z(f) = 8*c(f) + 5*d(f). Let i be z(-7). Suppose 3*k - i = 48. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5eb74 - -4?\nAnswer: 5eb78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 1392 = -4*s - 6*q, -2*s + 702 = -4*q. What is the smallest common multiple of 10 and s?\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 2, p: 1, r: 1, i: 3, y: 1}. Give prob of picking 2 s and 2 c.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 49*h**2 + 15*h + 11. Let u(r) = 52*r**2 + 14*r + 8. What is 3*t(x) - 4*u(x)?\nAnswer: -61*x**2 - 11*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 7 = 2*m + 27, -5*m + 29*c + 154 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/30 - s**5\/30 + 7*s**2. Find the third derivative of n(j) wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 48*t**2 + 4*t + 182. Let g be b(-48). Let y(u) = -u - 3. Give y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 2 = 25*p. Suppose p*b + 186 = 2*d, 0 = -0*d - 5*d - 2*b + 444. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.7729 + -10.7729. Let j = -122 + 2076\/17. Which is the nearest to 0? (a) w (b) j (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3229650473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = 0, 4*k - 34*j + 30*j - 28 = 0. Solve 0 = 5*h + 20, k*l + 89 = -h + 85 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n - 11. Let t be d(1). Solve -t*g - 2 = -2*x, -3*x - 2*g = 2*x + 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27191 = -9*z + 17188. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*f**2*s - 531086*f**2 - 17989957*f*s wrt f?\nAnswer: 26*s - 1062172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**3*t**5 + i**3*t - 3*i**3 - 52*i*t**5 - 13*i*t wrt t.\nAnswer: -80*i**3*t**3 - 1040*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1781563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140*g**4 + 75*g**4 - 100*g**4)*(0 + 1 + 1) + 3*g - 2*g + 5*g**4 - 4*g**4.\nAnswer: -329*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.956877t?\nAnswer: 956877000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d - 1. Let v(z) be the second derivative of z**7\/1260 + z**4\/3 + 18*z. Let w(m) be the third derivative of v(m). Calculate w(a(h)).\nAnswer: 200*h**2 - 40*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 (base 5) in base 4?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376121588 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 10*d - 24 = 0. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {q: 1, x: 4, c: 2, g: 5, j: 3, h: 3}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*n = 1282, z - 3*n - 2*n = 414. What are the prime factors of z - (-3)\/6*-4*-1?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378587 divided by 1397.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 6*z - 1. Let d(f) = 4*f**2 + 16*f + 10. Suppose w - 8 = -3, -3*w + 3 = 4*y. Let n(h) = y*k(h) - d(h). Calculate n(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 14\/6 - (-11)\/33. Let z(p) = 3*p**2 + 6*p + 5. Let c be z(t). What is the units digit of 15\/(c\/(-5) - 27\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.966 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -25*a - 17 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 2. Let f(x) = x. Let q = 75 + -73. Calculate q*f(b) - d(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -16342 - 2528. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -30. Let u = 0.3 + 0.7. Let s = u + -1. Which is the nearest to s? (a) 5 (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 - 2057 = -9*f. Does 31 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-17)\/(1377\/(-18))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36.95272 and -1.4.\nAnswer: -51.733808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*o**3 + 10*o**2 - 7?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -587276*g**3*j**2*v**3 - 1051*g**3*v + g**2*j**2*v**2 + 13*g*j**2*v**3 - 1626*j**2*v wrt v?\nAnswer: -3523656*g**3*j**2 + 78*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 586, 575, 550, 505, 434?\n\"Answer: -g**3 - g**2 - g + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1.815098\nAnswer: -0.3630196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111c084 (base 14) to base 3.\nAnswer: 120022111100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1.8. Let v = 269 + -271. Which is the closest to s? (a) 0.1 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 30*q - 2*q**3 + 2*q**2 - 13*q + 3*q**3 - 16*q as a*q**3 + v + k*q + w*q**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 395\/27568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swe when three letters picked without replacement from etetwweeswkp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2303 and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 + n + 5. Let k be 8\/(-12) + 2\/3. Suppose -3*p + k = 9, 0 = 5*i - 3*p - 9. Let f be l(i). Solve f*r - 4 = -14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140041 (base 6) to base 7\nAnswer: 52600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 13293*t + 13296.\nAnswer: -3*(t - 4432)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 18. Let z(m) = 5*m + 60. Let q be 10 + -5 + (-68)\/4. Let w be z(q). Give c(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1843 by -510.\nAnswer: -1843\/510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 582230 and 474?\nAnswer: 1746690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -362*r - 3. Let f(n) = -6*n - 2. Determine 3*f(q) - m(q).\nAnswer: 344*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.282297 + 0.282. What is n rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 3*w + 43. What is g(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 28 - ((-2)\/(-2) + -1). Calculate the greatest common divisor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261168936?\nAnswer: 2, 17, 23, 29, 13903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 192.461 and 1263 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*t)*(-2543 + 285 - 40)*(1 + 3 - 2).\nAnswer: 9192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13942 (base 11) to base 9.\nAnswer: -30105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 + 80*y**3 + 176*y**2 = 0. Calculate y.\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Let n(a) = -7*a - 2. Let h(p) = -35*p - 11. Let u(x) = -2*x**2 + 10*x + 6. Let y be u(7). Let c(o) = y*n(o) + 4*h(o). What is d(c(w))?\nAnswer: -196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w. Let h be (1 - w) + 4 + -3. Suppose r + 4*z = -0*r - 4, -h*z = -5*r + 90. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, r: 2, p: 8}. Give prob of sequence rp.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653836519 to the power of 1\/2, to the nearest integer?\nAnswer: 60447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 262, -5.\nAnswer: -147, -5, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -22. Suppose 7*c = l*c - 70. Solve 0 = 2*t - 4*t - c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*d = -4, d + 7 = 6*y - 3*y. Let k = 38 + -7. Calculate the remainder when (-15 + 11)*(-90)\/y is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/25 + 8\/25. Let o = -2543 - -2538. Put -1\/2, t, o, -4 in descending order.\nAnswer: t, -1\/2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35758 - 34231.9. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ssssshsshs.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f - f. List the prime factors of (4 - 0\/f)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5806, -11641, -17488, -23341, -29194, -35041, -40876?\nAnswer: -46693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*f - 714 = -120, -2*l + f = 578. Let q = -206 - l. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061908041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(475) - sqrt(475)) + ((1 + sqrt(475) + sqrt(475))*-3)**2.\nAnswer: 185*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + -10 + (3 + -2 - -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.47 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 2.06. Let s = r - -10. Let p = -8.3 + s. Sort 5, -1\/3, p in increasing order.\nAnswer: -1\/3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4988599 is divided by 184762.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/360*-8*10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 3, 2, 47 in decreasing order.\nAnswer: 47, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 363, 5, -3 in decreasing order.\nAnswer: 363, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6 - (-5 + -2 - 9) - 1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 2*k**2 + 0*k**2. Suppose -s - 28 = x - 2*x, 4*x - 121 = s. Let p(u) = -22*u + x*u - 16*u. Calculate p(o(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s - 5. Let g(k) = -3*k + 2. Let v(l) = -2*g(l) + x(l). What is v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 49 (b) 527268 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1445*u**5 - 2*u**2 - 3933*u.\nAnswer: -28900*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/4 and -49\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10800422 and 10.\nAnswer: 54002110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 67. Solve n = 0, -x*n + 0 = 4*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914147 is divided by 643.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 7*u**2 + 9*u - 6. Let m(t) = t**3 + 7*t**2 + 8*t - 5. Let x(v) = 5*m(v) - 4*w(v). What is x(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 4*l + 1. Suppose 0 = 8*z + z. Suppose z = -0*a - a + 4. Let t(k) = k**2 + 4*k - 1. What is a*t(q) + 3*j(q)?\nAnswer: q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 6*t**2 - 5. What is b(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 0.816?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -3*w**2\/2 + 19*w - 13. Let z be f(5). Solve -1 = -3*p - z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-7)\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 2*p**4 + 9*p**4)*(-1 - 4 + 4) + 3*p**4 - 5*p**4 + 3*p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -27*l**2 - 5*l - 3. Determine g(-2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108489500 and 3850.\nAnswer: 1193384500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*i - 6*i + 18 + 16*i wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 16*d - 48. Let k be u(-5). Solve 3*o + 8 = -k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 16. Let s be b(3). What is the tens digit of ((-644)\/(-35))\/(s\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 612 - 220. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*k**2 - 190*k**2 + 48*k**2 + 48*k**2 + 45*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/40 + 7*g**5\/20 - 2*g**4 + 6*g**3 + 9*g**2 - 36*g. Factor d(r).\nAnswer: -3*(r - 3)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(275) + (sqrt(275) + 5)*2)**2 - -3*(sqrt(275) - (sqrt(275)*-4)**2)) + -5.\nAnswer: -10630 + 315*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 - 11327171?\nAnswer: -11327121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409585 to the power of 1\/2, to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(28) + ((-4*sqrt(140) + sqrt(140) + sqrt(140))\/sqrt(5))**2).\nAnswer: -448 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010021221111 + -20?\nAnswer: -1010021221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkx when three letters picked without replacement from kxxkkxkxxxxkk?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2242215 (base 6) to base 7\nAnswer: 655001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -108260?\nAnswer: 10826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.141512l in millilitres?\nAnswer: 7141.512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/7 + 738*j**2\/7 + 77012*j\/7 + 10896 = 0. What is j?\nAnswer: -84, -1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 3.04. Let o = 0.7 + -1. Let f = o - -0.1. Which is the closest to -1? (a) f (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71069\/33 - -2153. Calculate the common denominator of 37\/6 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1)*(11 - 10). Solve 3*o = 4*n + 1, -3*o + 0*n = x*n + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 - (-89)\/6 - ((-7)\/(-6))\/(-7). Put -2, m, -9, 22 in descending order.\nAnswer: 22, -2, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - k - 11*k)*(2*k + 2*k - 9*k).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 92*u = -87*u + 13, -3*r + 2*u = -9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/(m**(-3\/8)\/m))**(-33)*(m**(2\/19)*m**(-3\/7))**18 assuming m is positive.\nAnswer: m**(-230031\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1322113002?\nAnswer: 1322113003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j - 23 = 55*j + 3*b, 4*j = 5*b + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/21)\/(30\/4900). Let v = 78 + r. Put 7, v, 5 in decreasing order.\nAnswer: 7, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -17, -45, -93, -167, -273?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5328709 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11322 + -2121100013?\nAnswer: -2121022031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r + 4875110. Suppose 3499912 = 2*k + 2*k. Suppose -5*c + r = -k. Round c to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - p = 4407 - 4419, 3*p = -c + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1442 and -7\/22?\nAnswer: 15862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 20 = 10*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 76 - 59 = 0. Let d be (0\/(-2))\/2 - -16. Let k = m + d. Calculate the greatest common divisor of 11 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224 + 221. Sort 0.14, -0.2, h in decreasing order.\nAnswer: 0.14, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 j, and 1 p when four letters picked without replacement from ppjppxxklj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*u + 450*u = -52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 11) to base 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17, 2, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 30 = 2*t, -1910 = 2*d - 3*t - 1935 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -726600 rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/52041 or 81\/4?\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110\/3 - -37. Sort d, 2, 1 in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132232221 + 22303?\nAnswer: -132203312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/6 - 3*r**2\/2 - 8*r. Suppose -14*d - 114 = 5*d. Calculate a(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e81 (base 16) in base 9?\nAnswer: 42722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -351*q**2 + 65. Let i(d) = -11*d**2 + 2. Let y(x) = 65*i(x) - 2*j(x). Let s(t) = 2*t**2. What is s(y(u))?\nAnswer: 338*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -68. Let a = i + -43. Is ((-178)\/3)\/((-10)\/45) + a a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) + sqrt(88) + (2*sqrt(88)*4 - sqrt(88))))\/(sqrt(1152)*-2*-2 - sqrt(1152)).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1972 + 1974. What is the closest to q in -2, 0.2, -0.4, -1\/12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 1, 1613900, 5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6*((-561)\/110)\/(-51))\/(4\/80*-1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 6:12 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -201839*n**3 + 100916*n**3 - 39 + n + 100930*n**3 - 3*n**2 as r + h*n + l*n**3 + g*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 570, 819, 1068, 1317?\nAnswer: 1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*d - 26, -d + 14 = -3*x + 44. Solve -4*z = -v - 5, -8*v + x*v = 2*z - 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - q - 1. Let u(v) = -2*v**3 - 4*v**2 + 3*v + 4. Let l = 29 + -24. Suppose l*z = -b + 6, 16 = b - 3*b + 4*z. What is b*o(n) - u(n)?\nAnswer: 2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/40 - 193*m**5\/20 + 1202*m**2. Determine j so that a(j) = 0.\nAnswer: 0, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/675)\/((-13)\/2210)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, r: 1, t: 5}. What is prob of picking 4 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**3 - 4698*h**2 + 92985*h - 347850 = 0.\nAnswer: 5, 15, 1546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -772722274, -772722273, -772722272, -772722271, -772722270?\nAnswer: -772722269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93499446?\nAnswer: 2, 3, 15583241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 + 5. What is the units digit of l(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 13*k + 12*k - 7 = 0, 33 = -4*q - 5*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 12150?\nAnswer: 48600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*m - 2, -5*k - 144*m + 145*m = -1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1222020222 (base 3) to base 5\nAnswer: 2220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -50*b - 250. Let g be v(-5). Solve 2*j + 3*s = -2 + 7, g = -2*j + 2*s + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392216341 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*g - g + 20, 10 = f + 2*g. Let o = -25 - -24.87. Let i = o + 0.03. Which is the closest to f? (a) -3 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2. Let q(r) be the third derivative of 7*r**6\/720 + r**4\/3 - 7*r**2. Let x(f) be the second derivative of q(f). What is x(b(o))?\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -614888, -1229804, -1844732, -2459678, -3074648, -3689648?\n\"Answer: -c**3 - 614909*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okzkkzzzzkzkkozzz. Give prob of picking 2 k and 2 z.\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 - 8 = 0. Suppose 0 = w - l*w. Let h(q) = 2*q**2 + 0*q + w*q. Let j(b) = -3*b. Give h(j(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i + 26*i - 55*i + 3 + 57*i in the form z + p*i and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 + 246*d**4 + 2*d**2 - 10*d - 3*d**2 + 7*d - 251*d**4 - 1 - 5*d**2 as p*d + w*d**2 + f*d**3 + g + b*d**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Put 2, n, -6 in increasing order.\nAnswer: -6, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z**2 + z + 3. Suppose -4*l = -m - 4*m + 182, -133 = -4*m - l. Let j = 31 - m. Determine q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:32 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*d)*(1 + 1 - 5) - 41 + 28*d + 41.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 302182335*n**5 - 232329625*n wrt n?\nAnswer: 6043646700*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -77\/24*f**4 - 1\/60*f**6 + 209*f + 0 + 0*f**2 - 49\/6*f**3 - 2\/5*f**5. Let i(l) = 0. What is l?\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -839 - -1534?\nAnswer: 7a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnhnhnfhn. What is prob of sequence fh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/11 and -29\/36895189.\nAnswer: 405847079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -69, -77, -85?\n\"Answer: -8*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29999 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 47*c**3 + 2*c**2 + 2*c - 99. Calculate b(0).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31.4 - -25. Let v = 6 + t. What is the closest to 1\/4 in 0.1, 5, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/14 - (-132671)\/49 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/5474 and 47\/46?\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153182727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 30. Let f be k(15). Let r = -95 - -100. Put 4, f, r, -3 in descending order.\nAnswer: r, 4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 1) + -1)\/4. Let n = 5.1 - 5. Which is the third smallest value? (a) p (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37277, 151385, 341559, 607793, 950081, 1368417, 1862795?\n\"Answer: -c**3 + 38039*c**2 - 2*c - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*d**2*i*u + d**2*i - d**2*u + 2*i + 16 wrt i?\nAnswer: 31*d**2*u + d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16638.\nAnswer: 2, 3, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4007, 3992, 3961, 3908, 3827, 3712, 3557?\nAnswer: 3356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14040474953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153) + 2 + sqrt(153)).\nAnswer: 8 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38024 - -5576. Let v = -3082521\/95 - f. Let l = v + 12971\/570. Calculate the common denominator of l and 5\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 47 = -2*t. Let l be (-2496)\/20 - ((-12)\/(-10) - 1). Let u = t - l. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 19280.\nAnswer: 1\/4820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 73. Let s(r) be the third derivative of 1\/12*r**4 + k + 0*r**3 + 1\/240*r**6 + 0*r + 1\/30*r**5 - 2*r**2. Factor s(i).\nAnswer: i*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35 - 2*u**6 - 1181*u**2 + 74*u**4 + 1179*u**2 + 6 wrt u?\nAnswer: -240*u**3 + 1776*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235 by -47.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28755556960 rounded to the nearest 1000000?\nAnswer: -28756000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/7 - 4213749*i\/7 + 12641274\/7 = 0.\nAnswer: -1404586, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011517492 to 6 dps.\nAnswer: 0.001152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*f**6 + 3*f**4 - 40*f**2 + 1 wrt f?\nAnswer: -4440*f**3 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3540 is divided by 704?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -190*k - 4. List the prime factors of q(-2).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/316292 and 91\/692?\nAnswer: 54718516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -976571266*a**5 - 16332*a**2 + 4671?\nAnswer: -58594275960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:49 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26329800.7 + -0.04?\nAnswer: -26329800.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8858*f**2*s**2 - 342*f**2*t**3 + 3*f*s**2*t**3 - f*s**2 + f*s*t + 4229*f*t + s*t**3 wrt f?\nAnswer: -17716*s**2 - 684*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let l be -9 - (-4)\/(-136)*-302. What is the nearest to -1 in -5, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let k be m(0). Find the common denominator of 34\/9 and (-18)\/56*((-16)\/(-6) - k).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 146, 129, 44, -145, -474, -979, -1696, -2661?\n\"Answer: -6*m**3 + 2*m**2 + 19*m + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Let o = 0.18 - 13.18. Let w = o + 15. Which is the closest to u? (a) w (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-219)\/234021*(-2 - -1). Let v = -302437141\/42747836 + r. Let i = v - 1\/3836. Find the common denominator of i and -57\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = u - 25713, -5*u - 21*n + 23*n = -128675. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 41*v**2. Let j(y) = -9*y**2. Calculate q(j(g)).\nAnswer: 3321*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*13\/((-52)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooooooooddddod.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 5. Factor 5*o**2 + 3*o**5 - q*o**3 + 3*o**4 - 8*o**2 + 2*o**3.\nAnswer: 3*o**2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20508824 + 6?\nAnswer: 20508831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h - 1\/6*h**3 + 0 + 2*h**2 - 1\/24*h**4. Is c(-15) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c + 3*j, 21 = 5*c - 0*c - j. Suppose -c*n = n. Which is smaller: -2\/11 or n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*n = -483*n + 21755 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142148 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + 2*n**2 - 2*n. Suppose -5*b - 1 = -a - 4*b, 0 = 4*b - 8. Let s be 4\/3 - (-2)\/a. Give p(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12795470759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**6\/360 + m**5\/15 - 7*m**4\/24 + m**3 + 9. Let f(q) be the third derivative of s(q). Calculate f(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/9)\/t)**(-6\/23)\/((t**(-2\/35)*t)\/(t**7*t)) assuming t is positive.\nAnswer: t**(17953\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 31 = -4*l - 6, l - 6 = -i. Let p = i - -4. Suppose p*k = 2*k + 633. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*c - 48 = -60, -y - 3*c = -9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-10) + (6 - (-5358)\/(-30)). Let q = -167 - t. Suppose 0 = 3*m - 9 - 24. Calculate the least common multiple of q and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -7*b + 14. Solve -5*q + b*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 5. Let f = 15 + -10. Let p be j(f). Let q = p + -2. What is the least common multiple of q and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*g + 109, 4*g - 59 - 131 = -5*d. Let y be (-2)\/7 + 12\/d. What are the prime factors of -2 - (-7 + (y - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**5 + 18115*g**4 - 842085*g**3 + 6544645*g**2 - 16580920*g + 10860240 = 0.\nAnswer: -3669, 1, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 10:07 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69355?\nAnswer: 5, 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4075043.7 to the nearest one thousand.\nAnswer: 4075000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.6. Let q = -0.01 + -4.99. Which is the nearest to u? (a) -3\/2 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-24)\/(-36) + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -19*m - 0*t - 42, 3*m + 4*t + 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-18))\/8*6\/(-8).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2\/3*w**3 + 0*w**2 - 1\/6*w**4 - 1 + 2*w. Let g(v) be the first derivative of x(v). Factor g(o).\nAnswer: -2*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/79 in 2\/57, -4, -0.5?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x - 11. Let d(h) = -6*h + 10. Suppose 0*o - 12 = -2*o. Let t(i) = o*d(i) + 5*y(i). Determine t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32302 (base 4) to base 3\nAnswer: 1022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13273, 26604, 39995, 53446?\nAnswer: 66957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.03, 124, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/15)\/g**(-5\/3))**49\/((g**(2\/5)*g)**(-4\/19)*(g**1)**(2\/145)) assuming g is positive.\nAnswer: g**(48753\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -7*j**2 + 0 + 3*j - 5\/6*j**4 - 1\/20*j**5 - 1\/3*j**3. What are the prime factors of u(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 26*s - 74. Let z be c(-23). Let o(t) = t**2 + 7*t + 4. Determine o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 101100101?\nAnswer: 101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 29. Suppose -2*s - c = -4*s. Let a(u) = -473*u**3 + 6*u**2 - 6*u + 5. Let w be a(s). Round w to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - u - 32 = 309, 5*u = 4*c + 717. Let r = c + 254. Let o(z) = 8*z + 1. Let t be o(1). Calculate the greatest common divisor of r and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (644\/115)\/((-6)\/(-75)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, 2, 757 in increasing order.\nAnswer: 2, 179, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-30) - (-32)\/6. Suppose -4 - 8 = -3*j. Suppose 1 - 55 = -2*x + j*d, f*d - 20 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 9*d**2 - 191*d + 10. Let z be c(10). Let m = 16\/21 - 2\/21. Are m and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 33*g**2 + 53 + 45 - 80.\nAnswer: -33*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 take away -0.0235758943?\nAnswer: 0.0745758943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 338*b - 338*b + 4*b**2 - b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839*o + 296*o = 7602 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 21 - 15 = 0. Let b be l\/6*15\/10. What is the units digit of -23*(6\/(-2) - b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y = 177*y + 393. Put y, 969, 2 in descending order.\nAnswer: 969, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (128\/10 + -2)\/(48\/160). What is the greatest common factor of 186 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000663228357 rounded to six decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, l: 5}. Give prob of picking 2 x and 2 l.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 795\/(-12)*((-19)\/25 + 1). Let q = 31\/2 + m. Which is the closest to q? (a) 3\/2 (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmmprourumouurrbumm. Give prob of sequence mmu.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1957961 and 398?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4 + -0.4. Let x = u - 0. Let o = 0 + x. Are -0.2 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90145315 divided by -657995.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 8*y - 5. Let v be q(7). Solve v*j + 2*i + 0 - 2 = 0, -i = 2*j - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)*10\/2. Suppose 16 = q*u - 54. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3203 by 4.\nAnswer: -3203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175*l**2*n**3 + 19*l**2*n**2 + 2*l**2*n - l**2 + 524*n**5 + n**2 - 9 wrt n?\nAnswer: -1050*l**2 + 31440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 8:23 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 52*r + 118. What is m(-52)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:28 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 10*b**2 + 6*b - 17. Let m = 86 + -77. What is the units digit of a(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/66 + 1 + 40\/(-22). Let t be (17\/5 + l)\/((-30)\/(-100)). Solve -t = o - 4*v, -2*v = o - 2*o - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10496 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*l*y**2 + 2781*l*y + 2*l - 232*y**2 wrt y?\nAnswer: -70*l - 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -243.\nAnswer: -72.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299654.\nAnswer: 2, 149827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560 and 11830?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2 - 2. Let m(d) = 13*d**2 + 7. Let j be (-201)\/(-21) - (-21)\/49. Let q be (-10)\/j + (1 + -2)*1. Calculate q*m(h) - 7*s(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 2:15 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 8}. Give prob of sequence db.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24 - 19 - (1 - 0)) + (-12)\/5. Let i(t) be the first derivative of -17 + 2\/15*t**3 + 14\/5*t + o*t**2. Factor i(r).\nAnswer: 2*(r + 1)*(r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:02 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*j + 837*m - 841*m, -5*j - 7*m = 37 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262257 and 288?\nAnswer: 25176672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -70*x + 56. Let i(h) = -24*h + 19. Determine 5*f(b) - 14*i(b).\nAnswer: -14*b + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744143 is divided by 1046.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + (-12)\/(-2))*1. Suppose s*w - 25 = 2*w. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 1788259?\nAnswer: 1788259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 + 3*y + 5. Suppose 16 = 4*f - p, -2*f - 2*f + 16 = -5*p. List the prime factors of q(f).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 57*n + 230256.\nAnswer: -(n - 624)*(n + 738)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5245 = -4*q + k + 963, 0 = -5*q - k + 7751. Let b be (-4)\/(-14) + q\/231 - 5. Solve b*x - 5*j = 2, 0 = -4*x - j + 4 - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = -2*u + 5*g, 10*g - 294 = -2*u + 5*g. List the prime factors of u.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v - 381 = 1775. Is -20 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3301, 5174, 8683, 14146, 21881?\nAnswer: 32206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 6, 64, -3, -13, -2 in descending order.\nAnswer: 64, 6, 3, -2, -3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sum -1868 and 4.\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)\/(k**(-1)*k*k*k*k))\/(k**(-1)\/(k*((k\/(k**23\/k))\/k*k)\/k)) assuming k is positive.\nAnswer: k**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4 + (-27)\/(-6)). Suppose -d*u = -11*u + 455. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -16. Suppose 4*f - 12 = -2*i, -i + 4*i - 13 = -5*f. Sort a, f, 2, -2.\nAnswer: a, -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14785319 + 0.405.\nAnswer: -14785318.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 364*s + 3.\nAnswer: 364*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (44 + -55 + 28 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -847, -11, 1375, 3305, 5773, 8773?\nAnswer: 12299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -9, -2\/27, -0.3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 - 3*d**2 + 2*d**2)*(85 - 5 + 29)*(4 - 1 - 2) as x*d**2 + w + i*d and give x.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.713 - -2.713. Let j = -36.458 - 0.442. Let x = j - p. Which is the closest to -0.4? (a) -5 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v + 6. Let o be z(-3). Let g(x) = -x**3 - x + 4. Calculate g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3 - -1) + 4. Let i = 3 + h. Suppose 3*y - 14 = -n + i*y, 5*n - 2*y - 52 = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b - 10. What is p(6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 30 = r - 3*r, 5*d - 5*r - 50 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l = -3045 - 19530. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, 1 h, and 1 x when four letters picked without replacement from axtahxfaa?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.366 and 1178440.\nAnswer: 431309.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70486.23 centuries in years?\nAnswer: 7048623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p + 16, 2*i = p + 82. Calculate the remainder when 74 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 7*w - 11. Let j be n(5). Suppose 3*v + j = 84. Let o = 124 - 112. Calculate the smallest common multiple of v and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8652 - -8657. Which is the closest to u? (a) -3 (b) 0.3 (c) -0.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(432) + 1*(sqrt(432) - (sqrt(432) + -2)) + (sqrt(432) + -3)*-3)**2 + -1).\nAnswer: -1584*sqrt(3) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3))\/(30\/1650*-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**6\/120 - y**5\/30 - y**4\/24 - 5*y**3\/6 + y**2. Let z be w(3). What is the highest common factor of 4 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6 + 9*c**6 + 7*c**6 + 10*c**2 + 7*c**2 wrt c?\nAnswer: 2040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.027114756.\nAnswer: -0.13557378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + (-3135)\/(-475)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 1. Let r(z) = 0*z**3 + 8 + 5*z**a - z**3 - 6*z + 2*z**3. What is the units digit of r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2998972 and 30592.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, z: 1, f: 2, l: 1, h: 1}. What is prob of sequence fflh?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 0.5, -47, -1, 2\/217?\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5 + 478*p**4 - 84636*p**3 + 2599344*p**2 - 29332800*p + 113529600 = 0.\nAnswer: -365, 12, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-25)\/10 - (187\/(-22) - -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6 + 1)*12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(3\/7)*v**(-1\/12)*v**(1\/8)\/v**(-2\/57) assuming v is positive.\nAnswer: v**(2069\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16545 + -16548. Which is the nearest to 15.53? (a) -0.1 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g**3 - 6*g**3 + 2*g + 4 + 0*g + g**2 - 2*g**2 - 7*g**3 to y*g**3 + x*g + d + j*g**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -20*n + 3. Let u(p) = -7*p + 1. Let j(y) = 6*q(y) - 17*u(y). Let b be 12 + -2*1 - 1. Let z be (-2)\/b + 129\/(-27). Calculate j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1677470 and -77\/30?\nAnswer: 5032410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 482\/11, -101, -15?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*t = 88, -3*d + 5*t + 87 = -53. Suppose 4*h + 257 = d. Round h to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173584800 divided by -1808175\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 0 - 2)*(5*q - 4 + 4) to m + u*q and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -23*x**7\/210 + 17*x**4\/12 + 30*x**2. Find the second derivative of s(h) wrt h.\nAnswer: -276*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 1117, -1, 16, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/4 + 2 + 8. Suppose -3*h = -4*a + 9, h = -5*a - r + 2. Solve a = 6*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**2 - 7\/6*n**3 + 0 + 1\/4*n**4 + 0*n. Differentiate z(q) with respect to q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/(-6) - 1*-1 and (-1708)\/(-240) + -2 + 4\/(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 - 4*p + 5. Let d be m(-4). Let s = d - -1. Calculate the common denominator of 76\/s*(-99)\/44 and -73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/2 = -2853\/1094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*w**2 + 2 - 118*w**2 - 42*w**4)*(0*w + 4*w - 6*w).\nAnswer: 84*w**5 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-256)\/48)\/(4\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, -18\/121, 1, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 3*z\/4 - 1.\nAnswer: (z - 4)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at least 4502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -486*m**5 + 2*m + 1374218 - 1374218 + (2*m**3 - 4 + 4)*(5*m**2 - 3*m**2 - 3*m**2).\nAnswer: -488*m**5 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t + 3. Suppose -21*d + 14 = -14*d. What is k(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 448. Determine w(-64).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/7 - 21004*o\/7 + 3000.\nAnswer: 4*(o - 5250)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 594706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139.38 - -139.58. Which is the fifth biggest value? (a) k (b) -4 (c) -1 (d) 0.6 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2704 and 3349112.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let f be (-3)\/(-1)*(-2)\/o. Let v = -4\/79 - -107\/553. Sort f, v, -4 in increasing order.\nAnswer: -4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 30*j**2 + 14*j - 5. Is q(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548, -547, -544, -539, -532, -523?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 6. Let h be d(8). Suppose 4 = -h*z + 4*z. Suppose 6 = z*m - 0*m. Solve 3*a + l + 1 = 0, 0 = -a - 0*a - l - m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 6*w + 2. Let t be 18\/4*(-12)\/9. Let k be s(t). Suppose 6 = 5*n - k*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10042 (base 8) to base 5\nAnswer: -113010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/6))\/(o\/(o*o**15)))**(11\/7) assuming o is positive.\nAnswer: o**(1045\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 k when four letters picked without replacement from {y: 4, k: 7, z: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a - 2*a)*(2*a - a - 4*a)*(a**3 + 3*a**3 - 2*a**3).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2545*k + 336114 = 4646*k - 577143 for k.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20 + (-39)\/(-3)*-7. Which is the biggest value? (a) 1 (b) d (c) 52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:02 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-106)\/12 - -9) + 2\/(-3). Let j = 1.14 - -0.86. What is the nearest to -14 in 0.3, g, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from hhbbnbhbjccnbchxjb?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 25a299?\nAnswer: -25a2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i - 37938 + 3*i - 9*i + 10708.\nAnswer: 4*i - 27230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 198 = 3*n. Let i = 123 - n. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d - d)*(-1 - 3*d**2 + 1 - d**2 - d**2 - d**2 + 3 - 3 + 2*d**2 + (-2*d + 7*d - 3*d)*(-3*d - 2*d + 3*d) + 0*d - 2*d**2 + 0*d) - 10 - 6*d**3 + 10.\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, m: 2}. Give prob of picking 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 253\/99 - 6\/2. What is the nearest to 0.1 in 0.06, 1\/2, h?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66728018 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1. Suppose 4*u + k + 2 = -2*k, 0 = 5*u + k + 8. Suppose 2*t = 4*t. Let h = t + -1. Let s(f) = -f. Determine h*s(v) + u*m(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*r - 157*r + 396 = 0. What is the highest common divisor of r and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-21)*231\/66. Sort -77, n, 5.\nAnswer: -77, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5 - 131016\/65826\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*(-10 - -22). Suppose -200 - 30 = -2*c + 2*d, 3*c - 351 = 5*d. Suppose h = 5*h - c. What is the highest common factor of k and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117*o - 1083*o = -748 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 14. Let s be i\/(-5) - 65\/(-25). Suppose s*f - 2 = -6. Let z(t) = -2*t. Give z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 23, -3, 5 in ascending order.\nAnswer: -3, -2, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -329, -326, -323, -320, -317?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -24)*(17 - 14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.993 and -1?\nAnswer: 18.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2 - 5*o + 4. Calculate c(3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n + 4. Let z(m) = -14*m + 8. What is -5*v(i) + 3*z(i)?\nAnswer: -7*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 456 = 287*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, -24, -3, 939 in increasing order.\nAnswer: -24, -13, -5, -3, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q**2 + q - 4. Let d(n) = -n**2 - 4*n + 4. Let b be d(-4). Let m be a(b). Let r = 0 - -3. Put r, m, -4 in decreasing order.\nAnswer: r, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1850 - 1236 = -75*p - 2461 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, -2\/85, 0.3?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1069, -3480, -7499, -13126?\n\"Answer: -804*q**2 + q - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1275\/1155 + (-2)\/(-11) - 1. What is the third biggest value in 0.2, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67301, 538570, 1817771, 4308872, 8415841, 14542646, 23093255?\nAnswer: 34471636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18476*l + 18474*l = -5*d - 5, 5*d + 3*l + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/3 + 34*l**3 - 386*l**2\/3 + 158*l - 188\/3 = 0.\nAnswer: 1, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173\/16 >= 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -705 or -704?\nAnswer: -705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-11)\/(-66))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 362 - 15 + 16*r**3 - 143 + 14*r**3 + 109 in the form h*r + p*r**3 + m + t*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-472)\/(-336) - 16\/12)*6. Let g(f) be the first derivative of -1\/7*f**3 - 4 - p*f - 3\/7*f**2. Suppose g(b) = 0. Calculate b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 196 - 202 = 0. Let j(q) = q**2 + q - 1. Let a(z) = 5*z**2 + 5*z - 3. Determine y*a(t) - 6*j(t).\nAnswer: -t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*l - 62 = 0, 0 = -20*w - 9*l + 11*l + 463 - 21 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53766630?\nAnswer: 2, 3, 5, 597407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 451 = -4*j + 121, 0 = 3*d + 3*j - 858. Let y = d - 67. Suppose 0*b + y = 4*r + b, 99 = 2*r - 3*b. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)\/p**(1\/2) assuming p is positive.\nAnswer: p**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 0. Let r = -5 - p. Let m = r - -48. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/3*(-19)\/(-171)*-9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (560\/25)\/16 + (-9090)\/(-25). Is u at least as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtwt when four letters picked without replacement from wcntdqddtcncwtd?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 132444159 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5019900 rounded to the nearest ten thousand?\nAnswer: 5020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26503, -106181, -238977, -424897, -663947?\n\"Answer: -g**3 - 26553*g**2 - 12*g + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 - 3*s + 4. Let m be b(3). Let w = m - -61. Is 7\/4 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2 + 2 - 3). Suppose v*k + 5395245 = 16595245. What is k rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43362 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -182*d**3 - 17*d**2 - 4*d - 8. Let u(h) = -13*h + 16. Let g be u(-3). Let y = 67 - g. Let z be c(y). Round z to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*-0.02\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 9*10\/(-15). Let p(i) = i**3 + 7*i**2 + 5*i + 2. Let c be p(-5). Find the second derivative of -o*s**3 - c*s + 7*s + 4*s**3 - 10*s**4 wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 2600520.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 12*k**2 - 10*k - 13. What is a(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -1\/5*g + 6\/5 - 1\/5*g**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5*o + 5. Let a be l(-4). Let m(k) = -k**3 - 5*k**2 + 2. Let r be (-4)\/((-32)\/(-10))*4. Let y be m(r). Solve 3 = y*x + a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -509. Calculate the highest common divisor of 33 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -12860.\nAnswer: -1\/6430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1085*g = -4*w - 1076*g + 45, 3*g + 15 = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v + 23*v - 5*c + 56 = 37*v, -60*v = -61*v - 3*c for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 669 and -706 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4925\/6 + 821. What is the common denominator of -71\/182 and x?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckckkckcccdkccccc. What is prob of picking 1 d and 2 k?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*z = 110, -5*z - 68 = -5*b + 37. Calculate the remainder when b is divided by 8 + ((-4)\/6 - 1\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14445, -28890, -43335, -57780, -72225?\nAnswer: -86670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12549667*l**5 + 1560114*l**2?\nAnswer: 752980020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**6\/120 - i**5\/5 - 13*i**4\/24 + 19*i**3\/6 - 5*i**2. List the prime factors of m(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43926487, 43926483, 43926477, 43926469, 43926459, 43926447, 43926433?\nAnswer: 43926417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -327*d + 4253. Let z be w(13). Let l(q) = -2*q**2 + 2*q - 21. Let p(o) = -2. Determine z*l(b) - 22*p(b).\nAnswer: -4*b**2 + 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - -11. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -743 + 4315\/6. Let k = 284 + -156. What is the common denominator of u and 2840\/k*4\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -6*f - 365. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -75, -76, -79, -84?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (269 + 0)\/(0 - -1). Suppose -k = -3*g + g + 3*l, 0 = 3*g - 4*l - 402. Suppose -g = -5*v + 4*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(51\/13870) + (-9)\/((-1377)\/18). Solve 810*s = w*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*i + 6, -6*d + 5*d = 4*i - 17. Let l(f) = -2*f - 8. Let g(m) = 4*m + 17. Let y(k) = -3*g(k) - 7*l(k). Let o(t) = 3*t + 6. Give i*o(z) - 6*y(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 6, -3, 2 in ascending order.\nAnswer: -3, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5 - 304*f**4\/3 + 279*f**3 + 514*f**2\/3 - 208*f = 0. What is f?\nAnswer: -104, -1, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 212\/3459599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {r: 1, w: 1, g: 9, d: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, i: 4}. What is prob of picking 2 w?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5 - 2*n**4 + 37665*n**3 - 181695*n.\nAnswer: -20*n**3 - 24*n**2 + 225990*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 4*b**2 + 4*b - 3. Let n be c(-5). Suppose -n*g = -3*g + 4. Solve 4*v = t + t + 20, 2*v = -g*t - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-12) - 1\/3)*-5. What is the second smallest value in -2\/19, -1\/7, q, 1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*f = -37, -3*l - 6 + 4 = 5*f. Which is greater: -8 or l?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*d - 2*x + 2034 = -114*d, 4*x - 1226 = -3*d. What is the greatest common divisor of d and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*a + 90 + 21 + 79 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18166569 greater than -18166568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 7*u**2 - u + 1. Let o(h) = h**3 + h**2. Let f(n) = d(n) - 4*o(n). What is f(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, y: 3, e: 1, i: 5, z: 3}. What is prob of sequence iiz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {b: 1, a: 1, j: 1, e: 1, r: 1, p: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2680 divide 310188560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 51 + 84 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 2*q**2 - 2*q - 2. Let l be h(-2). Suppose 5*k - 3*k - 16 = -l*c, -5*k = -c - 10. Solve 13 + 2 = -k*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)*c)\/(c\/(c*c**(2\/93))) assuming c is positive.\nAnswer: c**(53\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0*278\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 24*m**2. Let k(t) = -69*t**2 + 195*t**2 - 127*t**2. What is k(z(p))?\nAnswer: -576*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 334344*m**3*u**2 - 13915*m**3*u + 2*m**2*u**2 - 185*m**2*u - 4*u**2 wrt u.\nAnswer: 668688*m**3 + 4*m**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:40 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f. Let u be o(-3). Let j = -25 + u. Which is the smallest value? (a) j (b) -4\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 3*p - 1. Let i(v) = -4*v**2 + 3*v + 2. Let l(d) = -2*i(d) - 3*o(d). Suppose 0 = 6*q - 4*q - 5*t + 7, 4*t = 3*q. Give l(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 - 50*a - 280 = 0. Calculate a.\nAnswer: -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - ((-11 - -9) + (2 + -2 + 8 - 5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14808 by 6.\nAnswer: -2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-42)\/(2100\/(-125)))*10\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + p + 97, -10*g = -6*g - p - 130. Calculate the remainder when 191 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2))\/sqrt(7) + -5.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*i + c - 6, -17*c + 36 + 32 = -51 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - 187\/(-44). Let x be 0\/((-1 - -3)*-1). Let t = x - 0. Solve 2*g - 5*z + 17 = t, 7*g - 5*z = p*g - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 34350 = 2*y, -5*y - s + 85875 = -2*s. Let a(m) = -m - 31575*m**2 - y*m**2 - 3 - 1. Let z be a(-4). Round z to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) - (-266)\/1463?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 11, x: 1}. What is prob of picking 2 w?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2712*h**4 - 5415*h**3 + 2694*h**2 + 9*h.\nAnswer: 3*h*(h - 1)**2*(904*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -29*y**4 + 6*y**3 + 2*y**2 - 6*y. Let s(k) = 58*k**4 - 11*k**3 - 5*k**2 + 11*k. Let j(b) = 11*l(b) + 6*s(b). Find the third derivative of j(a) wrt a.\nAnswer: 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352202 and 458?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 2051421?\nAnswer: 2051420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-63))\/(47 - 42 - 155*4\/120).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:54 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 104*w - 107*w + 12 - 2*w**2. Let n be i(-5). Let q be (-1)\/n - (-799)\/(-2). What is q rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 14*j + 8. Let w(u) = -u**3 - 35*u**2 + 73*u - 43. Let n be w(-37). What is b(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6789, -13581, -20373, -27165?\n\"Answer: -6792*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 3*o - 6. Calculate t(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620444.\nAnswer: 2, 11, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -46, -44, -42?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*a + 17305 = 3457 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -32, -16, 8, -14 in decreasing order.\nAnswer: 8, 4, -3, -14, -16, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -217*o - 6718. Let p be r(-31). Let k = 30 - 119\/4. What is the second biggest value in k, 0.07, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-169632)\/(-64))\/93 - 1\/(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**5 - 14*y**3 - 5*y + 12. Let f(o) = 9*o**5 + 26*o**3 + 9*o - 22. Let i(v) = 6*f(v) + 11*u(v). Factor i(h).\nAnswer: -h*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 11 = -4*y + 4*q, -4*q - 8 = 0. Which is greater: 2\/43 or y?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7 = -1. Let l(i) = -2*i - 5. Let u be l(k). What is the remainder when u\/1*(-46)\/(-2) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 at most as big as 454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 6*b + 18. Let k(l) = l**b + 195*l - 195*l. Let f(x) = 4*x**2. Calculate f(k(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 5. Let p(n) = -n**2. Let s(x) = -3*p(x) - q(x). Let t be 4\/(-6) - 2\/(-3). What is the units digit of s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49305 - 89.587\nAnswer: -49394.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -2254\nAnswer: 148764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fijld. What is prob of sequence di?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2406 + -2408. Let l(f) = f**2 - f. Let p(o) = 13*o**2 - 2*o. Give i*l(g) + p(g).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2cf?\nAnswer: -2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 199*s**2 - 586*s - 260. Calculate h(196).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**2 - 3735*s - 36627. Calculate p(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116179476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 72. Let f be 1425\/(-60)*8\/w*-3. Suppose -u - 36 = -j, 11 = -2*j - u + f. Does 29 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**4 - 1668864*k**3 - 2*k + 5288466 wrt k?\nAnswer: 4*k**3 - 5006592*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25595 is divided by 8296.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 167077 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 sxssxxls. Give prob of sequence slxx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2*v + 284 = -89*p, -56 = -0*v - 0*v - 9*v + 6*v - 4*p for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 - 8*w**2\/3 + 2*w + 24.\nAnswer: -2*(w - 3)*(w + 3)*(w + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**3\/12 - q**2\/4 - q\/4 + 7. Suppose v(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-1 - -3) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(-5\/9))\/c))\/c)**12\/(c\/c**(2\/15))**(2\/31) assuming c is positive.\nAnswer: c**(-1042\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from rrrjhuh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-48))\/(162\/486).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2643506 (base 7) to base 9\nAnswer: 578022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41875 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 > 1955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 4*o + 15. Suppose o*c + 18 = 2*c. Let p = -4 - c. Solve -p + 10 = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 s, and 1 u when three letters picked without replacement from {q: 1, u: 1, s: 4, y: 8, f: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6331*h + 6281*h = 1000 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/5)*a**(-2\/9)*(a\/(a**(1\/2)*a))\/(a\/(a**5\/a*a)*a) assuming a is positive.\nAnswer: a**(223\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15814 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 9 + 45 = 4*f, -4*f + 20 = g. Let n(j) = 2*j - 4. Let p be n(4). Suppose -k - p*x = 3*k - 28, 2*k - 5*x = 0. Solve g*b - k + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/12 and 19\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**4 + 3\/14*l**7 + 0 + 0*l**5 + 0*l**6 + 0*l**2 - 5\/3*l**3 + 2*l. Find the second derivative of k(x) wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 190?\nAnswer: 18f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6) + -1)*6. Suppose o = 6*o - 10. Suppose -o*p - z + 3*z = -12, -5*p - z = -12. Solve 7*g = -d*l + 2*g + 16, p*l - g + 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1197, -8709, -29117, -68865, -134397?\nAnswer: -232157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/3 - 8*x**3\/9 - 2*x**2\/3 + 8*x\/3 - 17. Factor w(d).\nAnswer: 4*(d - 2)*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94460 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 17*b + 116. Let n = b - 53. Suppose -5*c = 4*q - 36, 4*c - n = -2*q + 19. Calculate the remainder when 7 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -48.956. Let g = q - -0.001. Let f = g + -0.04500001. Round f to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clc when three letters picked without replacement from {c: 2, l: 6, a: 9}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-10) + 29\/2. Let u be o\/(-6)*(-24)\/(-30). Which is the closest to -0.2? (a) -2\/7 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Suppose 0*i = 7*i - 0*i. Sort i, 2, o.\nAnswer: i, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*a*m**3*u**2 + a*m**3*x**2 + 2*a*m**2*u*x + 46*a*m*u - 62257*m**3*u**2*x**2 - 9*m**3*u**2 wrt x?\nAnswer: 2*a*m**3 - 124514*m**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**1*t)\/t))**(-27) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1819 + 1828. Let o(f) = -f**2 + 11*f - 4. Calculate o(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5f533 (base 16) in base 15?\nAnswer: -7aa51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 12*z + 42. Let n(p) = 32*p. Calculate n(x(l)).\nAnswer: 64*l**2 + 384*l + 1344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*(-15)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - 80*h - 73. Determine p(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 divided by 19?\nAnswer: -435\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 - 172.36. Let x = g - -0.36. Let t = x - -16.8. What is the nearest to t in -3\/7, 0.4, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 36*t = 35*t + 15, 2*h - 5*t + 21 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 = 4*q, 5*a = a - q + 8. Solve -4*v - a*s - 32 = 0, -40 = 4*v + 8*s - 3*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*b + 893*b - 1784*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 339003, 339557, 340111, 340665?\n\"Answer: 554*l + 338449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 288\/64*(-13)\/(39\/(-5832)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + b + 7 = 0, -p + 2*b = -3*b - 19. Let x(v) = 1. Let r(u) = -2*u - 2. Calculate p*r(h) - 3*x(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1546 - -1547. Which is the closest to 1\/6? (a) q (b) 0.08 (c) -0.5 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2016\/84*(-5)\/((-60)\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*d - 163, -496 - 198 = -4*w + 5*d. Let v = -6 + 8. Suppose 23 - 61 = -v*k. What is the highest common divisor of w and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(228)\/(sqrt(12) - (6*sqrt(192) - sqrt(12))) + 3.\nAnswer: -sqrt(19)\/22 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1744.\nAnswer: 1\/1744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/9791087 or -1?\nAnswer: -3\/9791087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 5, 11, 17, 23?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*t + 2*y, -t - 4*y = -0*y + 8. Let h(x) = 2*x - 7. Let d be h(t). Let o be d*5 - 2\/1. Solve -r - o*r = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -124*d**7\/21 + 971*d**5\/20 + 6*d**2 - 167. What is the third derivative of u(m) wrt m?\nAnswer: -29760*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141*f*l**3*z - 2*f*l**3 - f*z - 3*f + 2*l**3 wrt z.\nAnswer: 141*f*l**3 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/8))**(2\/27)\/(h\/(h*h*h*h**2*h))**(1\/47))**(-2\/47) assuming h is positive.\nAnswer: h**(-133\/39762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/25)\/((-122)\/3660). Does t = 8\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y**2 - 130*y - 4678. Let r(b) = 33*b**2 + 260*b + 9379. Let v(h) = -7*o(h) - 3*r(h). What is the derivative of v(p) wrt p?\nAnswer: 26*p + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 121, 147, 189, 247, 321, 411?\n\"Answer: 8*w**2 + 2*w + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 377 + -384. Let c(g) = 8*g + 6. Let u(r) = 15*r + 11. Determine m*c(s) + 4*u(s).\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1024, 2054, 3090, 4132?\n\"Answer: 3*n**2 + 1021*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012 - -21100?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 17 - (-7 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 - 3. Let v = 1.95358 - -0.04642. Sort v, -25, c in decreasing order.\nAnswer: v, c, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + (0 - (7 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 - 19*a**2 + 13*a**2 - 3*a**2 + 3*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1103*b + 52 = -4*c + 1106*b, -50*b + 813 = -13*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-15)\/(-18)). Is 1 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 30 = 4*b, -190*x - 4*b - 9 = -185*x. What is the smallest common multiple of x and ((-7)\/4)\/(2\/(-8))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1991033 to one dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -5\/3, 279, 113, 0.2 in descending order.\nAnswer: 279, 113, 0.2, -2\/23, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(20)\/(sqrt(512)\/sqrt(8)) - (sqrt(360)\/(sqrt(6) + (sqrt(6)*-2 - sqrt(6))) + sqrt(60))\/((-2*sqrt(192) - sqrt(192)) + sqrt(192)).\nAnswer: -19*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9488? (a) 2\/15 (b) -0.1 (c) 1 (d) 3 (e) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -0.3. Suppose -4*y - 44 = 4*p, -2*p - 21 - 19 = 4*y. Let i = 8 + y. What is the second biggest value in 3, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -0.14, 0.05, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27796 and -0.2.\nAnswer: -0.055592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9335844 and 289386?\nAnswer: 214724412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 44*o - 43*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3837385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s. Let a(f) = -14*f. Let u(p) = 5*a(p) - 8*z(p). Let g be ((-20)\/(-15)*12)\/2. Suppose -5*h = -h - g. Give u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Let i be (-4)\/18 - ((-42)\/(-54) - 0). Let a = 1 - 6. What is the closest to i in 2\/5, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*o - 3*f**2 - 821*f*o - 33*f + 1245061*o with respect to f.\nAnswer: -2*f*o - 6*f - 821*o - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15182000 to the nearest one hundred thousand.\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -75. Let j(s) be the first derivative of -7 - 4*s**5 + 0*s**n - 16 - 9 - 39*s. Find the first derivative of j(m) wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/8 + 91*q**3 - 731*q**2\/2 + 366*q.\nAnswer: q*(q - 2)**2*(q + 732)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10627108?\nAnswer: 2, 17, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457658727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4264772800 to the nearest 1000000.\nAnswer: -4265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1047*n**3 - 8*n**2 + 8. Let t(d) = -1925432*d**3 + 14714*d**2 - 14714. Calculate 4*t(a) + 7357*z(a).\nAnswer: 1051*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3*2\/20)\/((-201)\/(-268))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 2\/((-12)\/56*2\/(-6)) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) -729 (c) 26.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415437 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 29 - 119 = 0. Let t be ((-3)\/6)\/(1\/r). What is the units digit of (-11)\/(-3) + 3\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-177)\/(-4))\/(5\/60*3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/700)\/(1819\/(-2495668))?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2060 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 11*w - 11. Let c(q) = q - 8. Let s(l) = l. Let a(g) = 3*c(g) - 6*s(g). Let z be a(-5). What is o(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328 + -115. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 255 = 78*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.4, 0.1, -19, -14 in increasing order.\nAnswer: -19, -14, -0.5, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -3, 0 = 2*n + d + 64. Suppose 4*k + 5*h + 281 = k, -2*h = 4*k + 370. Let b = n - k. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.39*193\nAnswer: -1040.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**2*h)**(-22)*(h**(-2))**(-6\/17)*(h**(-1\/4))**(5\/14)\/(h\/h**(2\/5))**(-2\/5) assuming h is positive.\nAnswer: h**(-2074013\/23800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 282 + 285, 3*i - 6 = 2*o + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -953 or -944?\nAnswer: -944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-90)\/4*20\/(-15) - 0. Calculate the highest common divisor of v and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -3*a, 0 = -5*b - 3*a + 77. Suppose 5*o - 3*v = 1, 3*o + v + 7 = b. Suppose o*x - x = -4*z + 52, 3*z = -4*x + 234. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/21)\/((-20)\/4 + 4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57696*d - 950 = -57791*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -5 + 1\/3*w**3 + 4*w**2 + 7*w. Give y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 a when three letters picked without replacement from qqwwkgag.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*2*(20\/(-12) - -2). Sort -5, -3, w in descending order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123725949\/38 - -3255764. Let w = -182 - x. Is 0 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570730 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1441 + 1445. Let p be (-1 - 0)\/(-1) - 6. Let n = -38 + 37. Sort -0.3, p, i, n in decreasing order.\nAnswer: i, -0.3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -2*y + 6*m, -2*y - 3*m + 141 = 99 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260453?\nAnswer: 260453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.13 or -46.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 12, 13, 32, 75, 148?\n\"Answer: l**3 - 18*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 6. Let y be m(4). Calculate the highest common factor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14888 - -14889. Put l, 6, 7, -3 in increasing order.\nAnswer: -3, l, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from fzzrrazzqz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1477*g + 22. Is l(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) -20239 (c) 305.5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 136 - 148 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/(s**6*s)))\/s**(-2\/5))\/(s**1)**(-29))\/((s**(-3\/2)\/s)\/(s\/(s\/(s\/s**(1\/4)))))**(2\/29) assuming s is positive.\nAnswer: s**(10911\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in -2, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -9 (c) 181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -1.44.\nAnswer: -0.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) -54 (b) -2\/19 (c) -0.2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-171) + (-23)\/((-1242)\/84)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 9*u**2 + 13*u + 13. Let m be t(-7). Suppose 4*x - 9 = 3. Solve 0 = x*w + 2*w - m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3122 - -5699. Let q be 41386\/16 - (-4)\/8. Let k = q - l. Calculate the common denominator of k and -9\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5046 - 2290 = 111*x + 1091 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 377120 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 992774147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 37830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 280 = -i, -3*s + 467 - 61 = -2*i. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212222220121 (base 3) in base 4?\nAnswer: -3311003320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (8 - 16 - (3 + -3))) + 32\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g - 4*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0 - 7*z**2 - 5\/6*z**3 + 0*z + 1\/4*z**4. Suppose 5*a = a - 16. Let r(j) = -11*j + 9. Calculate a*r(f) - 7*n(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -1. Let u = 2787.5 + -2788. Which is the third biggest value? (a) w (b) -2\/7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -318, -614, -956, -1368, -1874, -2498?\n\"Answer: -4*n**3 + n**2 - 271*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23a - -5651?\nAnswer: 588b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2793*u + 2823*u - 30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-4))\/6 + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 515581 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 623*f**5 + 2*f + 937.\nAnswer: 12460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-5) + (-3)\/(-5). Suppose 3*q = -q - 20. Is q < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 10:14 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37090*s**4 + 16*s**2 - 54658249*s.\nAnswer: -445080*s**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m - 3*m. Which is the second smallest value? (a) 5 (b) 3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(147))\/sqrt(7))\/(sqrt(112) + -2*sqrt(112)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2010052401 - 5?\nAnswer: -2010052410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 75206303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = q. Let t be (2 - 0)\/(16\/2 + q). Which is greater: t or 2\/119?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1130\/(-339))\/(7\/3)*(-42)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/14 - (-1)\/2. Let w = 26535 + -371495\/14. What is the third smallest value in 0.2, w, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/15 - n**4\/6 + 2*n**3\/9 - 565*n. Factor q(k).\nAnswer: -2*k*(k + 2)*(2*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74857766?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + -16. Calculate the remainder when 3 is divided by 5\/(k\/(-9))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/260460 and 35\/15552.\nAnswer: 112518720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 84900?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2 = -4*b, -14 = -4*d + 2*d + 5*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.159?\nAnswer: 0.0795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -198 - -197.5. Let s = -14\/69 + -3\/23. Sort s, 1.5, b in decreasing order.\nAnswer: 1.5, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 + -15 + (-1 - 580). Let v = z - -833. Let k = v + -65. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*q**2)*(358*q**3 - 144*q**3 - 175*q**3) + (q**4 - 2 + 2)*(0*q + 0*q - 3*q) + (q**5 - 3*q**5 + 0*q**5)*(1 + 0 + 1).\nAnswer: 110*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gbgbggbggg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776549624 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: Let t = -9018 - -586172\/65. What is the closest to 0.11 in -1, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/1286601 and -35\/402.\nAnswer: 2573202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - w - 1. Let f(z) = -4*z**2 + 6*z + 1. What is f(g) + 3*j(g)?\nAnswer: -g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(300)*-4.\nAnswer: -40*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - 2*f - f**3 - 3*f**2 + 1 + 9*f**3 in the form g*f + k*f**2 + o + v*f**3 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017929139 rounded to 5 dps?\nAnswer: 0.01793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -85. Calculate the remainder when h is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1891 - -240. Let h = -13247\/8 - l. Calculate the common denominator of h and 23\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 - 4) + ((-79480)\/8)\/(-5).\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/(-45))\/((-1)\/(-10)). Suppose 0*i = -4*m - 2*i + r, -5*m + 30 = -2*i. Let b = 71 + -51. Calculate the greatest common factor of b and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.102*-17.9436\nAnswer: -1.8302472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 41 = 84 - 47, -a - 14 = -3*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z - 121*z**3 - 6*z.\nAnswer: -121*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000253 rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let z be (2 - (-3 - -2)) + -7*1. Give c(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5 + 11. Suppose 0*u + 54 = 3*u. Solve l*r - v + 2*v - 5 = 0, 4*v = 3*r - u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 47*c**2 + 234*c + 2. What is the remainder when 39 is divided by f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/(sqrt(3) - sqrt(12)) - sqrt(45))\/(2*sqrt(900)) + (sqrt(5)*-3*6 + sqrt(5) - (sqrt(605) + 0)**2))*-1.\nAnswer: 171*sqrt(5)\/10 + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20382 is divided by 20295.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**2 - 11*l + 3. Let s be w(8). Is 25\/(-5)*(-4)\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -19 + 3. Let j(i) = 2*i - 6. Let z be j(l). Suppose -z*t - 4*g = -28, 6 = 2*t - g - 7. What is the highest common divisor of t and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4419093+-295\nAnswer: -4419388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 17 = 4*d + 33457*x - 33456*x, -8 = -2*d - 2*x for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 6*m + 0*m)*(-m + 4*m + m) + 5*m**2 - 6*m**2 + 0*m**2 + 1 - 1 + 2*m**2 + (2*m - 1 + 1)*(2*m + 0 + 0).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*f - 21 = 0, -5*f = 3*p - 29 + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*t**4 - 1)*(-1 - 1 + 1)*(4 - 5 - 2 + (-1 + 0 + 0)*(29 - 16 + 16)) to the form s*t + i*t**2 + f*t**3 + q*t**4 + g and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*i - 341, -4*b + 4*i = -2*b - 222. Let v = -70 + b. Let k = v + -17. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 10*b - 5*r + 21580, 0 = 3*b + 3*r - 21576. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96808 - -178a?\nAnswer: -9503a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l + 4. Let m be f(-5). Suppose m - 4 = 5*a. Let o(g) = g**2 + 16*g + 57. Calculate the remainder when o(-12) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*s - 9, -178*s + 177*s = -2*d - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -16*d**4 + 8*d**3 + 28*d**2 + 4*d + 12. Let o(g) = g**4 - g**3 - g**2 + g - 1. Let f(z) = 12*o(z) + p(z). Solve f(x) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.4 (c) 1\/5 (d) -1144\/23 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/8 in -1\/14, 1, 259\/3, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2021 and -13.\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9052 to 2 decimal places.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z - 12. Let a be c(-9). List the prime factors of (4\/3)\/((-10)\/a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 12 = 3*d + 2*g, 3*g - 4 = 2*d. What is the remainder when 235 is divided by (d - (0 + 5))\/(3\/(-51))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s + 6. What is the units digit of t(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 32 = 3*y - 0*y, 5*b - 71 = 4*y. Which is smaller: 8 or b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605 - 5969 = -b. Let g = -131443\/20 + b. Find the common denominator of g and -113\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -234, -357, -492, -645, -822, -1029, -1272?\nAnswer: -1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97510?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and 44 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 491*w - 2 + 303*w - 297*w - 2*w - 2 + 2 + (-3 + 1 + 1)*(1 + 2*w - 1) + 2*w + 0*w + 0*w + 0*w + 0*w + w in the form f*w + u and give f.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -91.8.\nAnswer: 36.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -49. Let f be 6\/(-21) + (-52)\/g. Let k be f\/6 - 24\/(-9). Solve k*t = 10 - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 + -5 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-42)*4\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 6*l - 3. Let k be h(5). Suppose -3*n + k + 4 = 0. Find the third derivative of 5 + 4*o**n - 5 - 7*o**6 wrt o.\nAnswer: -840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -95, -97, -99, -101, -103?\n\"Answer: -2*q - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let r(o) = -o. Let l(b) be the second derivative of -5\/6*b**3 - 2 + 18*b - b**2. Calculate w*r(i) - l(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(-2)*(y*y**15)\/(y\/((y\/y**(-3\/5))\/y)) assuming y is positive.\nAnswer: y**(254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 2)*(0*h + 0*h - 2*h)*(-h**2 + h**2 + 5*h**2) to i + v*h + t*h**3 + k*h**2 and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/1848)\/(6\/(-336))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**10\/d*d))\/(d**(2\/15)\/d) assuming d is positive.\nAnswer: d**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = -150. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 7*z**2 + 7*z - 1. Let r be s(6). Suppose -4*d + 1 = r. Which is greater: -2\/19 or d?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*z - 3*x, 6 = 4*z - x - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 85*q + 14*q.\nAnswer: -78*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -11. Suppose -d*c + 2*c = 3*s - 19, 4*c + 29 = 3*s. Let w(u) = u**3 - 8*u**2 + 9*u + 4. Give w(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67124389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41457 - -225?\nAnswer: -41232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*(-3 + 150\/54). Calculate the common denominator of 6 and 2*(-2)\/y - (-51)\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123450?\nAnswer: 2, 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 216*k**2 - 229373 + 229373 - k**2 - 3*k**2 + 2*k**2 + (k - 2*k + 0*k)*(-3 - k + 3).\nAnswer: 215*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**7\/210 + 3*s**5\/10 + 263*s**3\/6 + 171*s**2. Differentiate z(q) wrt q.\nAnswer: -4*q**3 + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 181, 368, 555, 742?\n\"Answer: 187*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31728 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1739\/362 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -641 - -664. Solve p - 11 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -38. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-7)\/x)\/x)\/x**(2\/13))**25*x**(-2\/11)*x\/(x**(-6)*x)*x**3\/((x**(3\/4)*x)\/x*x*x) assuming x is positive.\nAnswer: x**(-127429\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffdhxxhlzlf. What is prob of sequence dh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 1:04 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -28*m - 1. Let p(l) = -7*l + 41. Let c be p(6). Determine s(c).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5043 - 5044. Let j = -0.4 - -0.3. Let k be (28\/(-63))\/(4\/18). Which is the nearest to d? (a) -7 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.69 + 2.31. What is the biggest value in -4, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649972.8 hours to minutes.\nAnswer: 38998368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -763.8833 to the nearest ten.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 116, 0.15, -4\/5 in descending order.\nAnswer: 116, 2, 0.15, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41407\/22602 - -5\/3767. Let p(r) be the second derivative of -19*r**2 - 19*r + 0 + o*r**3. What is the first derivative of p(t) wrt t?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116 - 83\/3*z**2 + 1\/3*z**3 - 344\/3*z.\nAnswer: (z - 87)*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2, -673 in increasing order.\nAnswer: -673, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2272502992 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*d**2 + 10*d**2 + 8*d**2)*(84 + 13 + 57)*(1 - 2 + 2 + 1 + 1 - 4 + (3 - 5 + 0)*(-1 + 1 + 1) - 1 - 5 + 5 - 2 - 2 + 2).\nAnswer: -6468*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -621 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*o*p**2*y + o*p**2 + 497*o*y - 3*p**2*y + 3*p**2 + 32*p*y - 16*y wrt o.\nAnswer: 7*p**2*y + p**2 + 497*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -27. Let p(v) = -v**2 + 2*v + 8. Let o(b) = -8*b - 10*b**2 + b + 12*b**2 - 15 - 4*b + 7*b. Let r(d) = w*p(d) - 6*o(d). Determine r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 44*x**2 - 83*x + 45. Let m be i(-42). Solve -2*u + 1 = -r + 5, 3 = m*r + 3*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 3, 3\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*h**2*y**4 + 10*h**2*y - 2*h**2 + y**2 wrt y?\nAnswer: 552*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3573 - 10718\/3. Sort p, -5, 2, 100.\nAnswer: -5, p, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2164, 6449, 13582, 23557, 36368, 52009, 70474?\nAnswer: 91757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -8*q + 30. Suppose -2*s = 5*h + 3*s + q, 0 = -3*h + 3*s + 18. Suppose -2*p - h = -6. Solve -5*d + 17 = -2*u, 11*d + p*u - 13 = 6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/(r**3\/r))\/r)**50)**(-3\/35))**(-4\/23))**(2\/37) assuming r is positive.\nAnswer: r**(-480\/5957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 74*b - 14*b - 22*b.\nAnswer: b**3 - 110*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:53 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 45*r + 903. Calculate the remainder when 3112 is divided by z(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1997, 2913, 3825, 4733, 5637, 6537?\n\"Answer: -2*j**2 + 922*j + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 210809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 49, 79, 115?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**9\/16632 + x**7\/2310 - x**5\/660 - x**3\/3 - 2*x**2. Let c(k) be the first derivative of z(k). Factor c(p).\nAnswer: -2*p*(p - 1)**2*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 473 * 538.\nAnswer: 254474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(6*-2))\/((-33)\/(-990)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/34 and 7\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -91, -191, -329?\n\"Answer: -19*y**2 - 5*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -207 - -209. Suppose v = -3*v - 8. Let z(k) = -k. Let u be z(v). Solve y - r + d*r + 3 = 0, 3*r + 11 = -u*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Let p = r + -1. Suppose -146 = -p*n + j, -2*j - 2*j - 29 = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 3, g: 2, f: 2, z: 11}. Give prob of picking 1 z, 1 q, and 1 t.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-2)\/2) + 16. Let g be ((-18)\/l)\/((-1)\/25). Solve 0*u - g = -5*u + 5*q, -4*q = -5*u + 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888 is divided by 419?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -40*u - 12. Let r be q(-7). Let m be r\/8 - (-3)\/(-2). Sort m, -3, -2.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16072035\/388 + 41423. Let z = h + 2\/97. What is the second smallest value in 0, -1\/3, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*n + 96, -2*n + 36 = 2*j - 28. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -25. Suppose -6*m + m = -5*j + 5, 3*j = -2*m - o. What are the prime factors of (j\/(-5))\/(1\/35)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11935, -11937, -11931, -11911, -11871, -11805?\n\"Answer: n**3 - 2*n**2 - 3*n - 11931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1140 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -58 (c) 227 (d) 5 (e) 1\/4 (f) -2 (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(-j**3 - 4*j**4 + j**3) + (0 + 2*j + 0)*(j**2 + 2*j**3 - j**2) + 12 - 12 + 12*j**4 to o*j**3 + d*j**2 + m*j**4 + f*j + h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -2 (c) -0.0436 (d) 1\/134 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nue when three letters picked without replacement from npnyuyuupnenupnunnu.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from quhjuqijqqjijijsqjuq?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72.5 + -73. Which is the third smallest value? (a) 15\/2 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 + -0.68. Let g = m - -0.9. Which is the nearest to g? (a) 6\/5 (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20592 and 2184?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 72 + 91 - 31 - 31*b**2 wrt b?\nAnswer: -62*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1a585?\nAnswer: 1a583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -892730.233767 minus 0.2?\nAnswer: -892730.433767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 11. Let o = i - -27. Let m(t) = -t**3 + 9*t**2 + 11*t + 1. Let c be m(o). Solve 3*b = 4*j - c, 2 = -2*b + j - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 20) + (52 - 34)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1080*o*u**3 + 11*o*u**2 - 2947*o*u - 388*u**3 wrt u.\nAnswer: 6480*o - 2328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1467*b + 2852 wrt b.\nAnswer: 1467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -18 - (-1496 + 1550).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.6888ml in litres?\nAnswer: 0.9306888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87*(-4)\/(-12) + -3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 1. Let k be d(-2). Suppose k*c - 4*c = 2. Solve -c + 12 = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4129 or 4054?\nAnswer: 4054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.04782 (b) -0.027 (c) -2\/13 (d) 3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 390450 divided by -25?\nAnswer: -15618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -423. Suppose 5*i - m = 653, 3*i - i - s = -3*m. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*z - 40, 2*a - 3*z = -7*z - 14. Let j(n) = 3 + 649*n - 655*n - a. Let u(d) = 31*d. Determine u(j(v)).\nAnswer: -186*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y**2 + 4*y - 36 = 0. What is y?\nAnswer: -9\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -33. Let t = -1 + j. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 435071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1551?\nAnswer: 2\/1551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52763349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 13923, 5, -1\/4, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*q**2 - 3*q\/4.\nAnswer: -3*q*(16*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 164*i**2 - 571*i**2)*(-4*i + 2*i + 8 + 0*i).\nAnswer: 814*i**3 - 3256*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (26137 - 4) + -2 + (47 - 40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35305938?\nAnswer: 2, 3, 1961441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21531, 19255, 16979?\nAnswer: 14703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14053 at least as big as -13669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**6\/12 - 3*y**5\/5 - 3*y**4\/2 + 35*y**3\/3 + 75*y**2\/4 - 1585. Determine r, given that w(r) = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*t)*((3*t**2 - 5*t**2 - 4*t**2)*(-3*t + t + 3*t) + 5*t**3 - 12*t**3 + 4*t**3).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-17)*q))\/(q*q\/(q\/q**(4\/13)))*(q**(1\/6)\/q)**(-12) assuming q is positive.\nAnswer: q**(321\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 17*l - 44. Suppose 2*o + 2 = 2*t, o + 16 = 6*o + 2*t. Factor 2 - 2*q**3 - q + 3*q + l - 4*q**o.\nAnswer: -2*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*5 + -2)**2 + (sqrt(34)\/sqrt(2) + -2)*5*-3.\nAnswer: -55*sqrt(17) + 1734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -2, 8, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 802, 1587, 2374, 3163, 3954?\nAnswer: 4747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.122 litres to millilitres.\nAnswer: 43122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012718 + 823685.31?\nAnswer: 823685.297282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -125.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 24*j**3 + 2*j**2 + 8. Let t(m) = 23*m**3 + 2*m**2 + 7. Give -6*t(b) + 5*x(b).\nAnswer: -18*b**3 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 4:30 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 + -145. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -47e?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 1. Let o(l) = 36*l + 8. Let w(i) = -5*o(i) + 40*r(i). Let m(v) = -3*v**2. Give w(m(k)).\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 17*u**4\/12 - 349*u**3\/6 + 15*u**2. What is the hundreds digit of m(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u - 3*u + 2*u**2 + 4 - u**2. Let g(c) = 5*c**2 + 25*c + 17. Let v = -24 - -15. Let r(t) = v*f(t) + 2*g(t). Give r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 18. Suppose -g + 119 = -8*g. Let i be p(g). Let d be 0 + -135 - (i + 0). Round d to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4))**(3\/25)\/((x\/(x*x**9))\/(((x**(-2\/3)*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(2191\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*(-3)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -345*w**3 - 2*w**2 + 4*w - 3. Let l = 43 + -41. Let g be j(l). Let q = g + 4326. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2. Let d(q) = 5 + 4*q + 5*q - 2*q. Let c(p) be the first derivative of -3*p**2\/2 - 2*p - 2. Let x(h) = -15*c(h) - 6*d(h). Give w(x(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8988283.\nAnswer: 359, 25037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 1)*(0*h**3 - h**3 + 0*h**3) - 4*h**3 + 3*h**3 + 6*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9*b + 3 + 3)*(-4 + 3 + 2).\nAnswer: -9*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*y + 9458 + 142 = 0. Solve -24*f - y*f = 588 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(272) + 1)*-6)**2 + -3 + ((sqrt(272) - (-2 + -2*sqrt(272) + sqrt(272))) + (sqrt(272) - (2 + sqrt(272)))*-6)**2)*-3.\nAnswer: 9216*sqrt(17) + 199962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*k - 10593 = -681*k + 22182 - 8295 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-6 + 1)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eguuek. Give prob of picking 1 g, 1 u, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/156 and 41\/22?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, 326\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*h + 17 - 45, 0 = 2*n + 3*h + 4. Suppose -3*v + g = 3*g + 8, 0 = n*v + 5*g + 13. Which is the biggest value? (a) v (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 155, 246, 395, 602, 867?\n\"Answer: 29*v**2 + 4*v + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = -l - 3, -i = 2*l - 6. Let v = 18 - i. Suppose -2 = -2*r - v. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 - 2*j - 1. Let x(m) = 6*m**3 + 150*m**2 + 153*m + 39. Let h(l) = -10*k(l) - 5*x(l). Factor h(a).\nAnswer: -5*(a + 37)*(2*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*d + 2 = -13, 15 = 4*f - 3*d. Let y(a) = 16*a + 0 + 0 + f. What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -6\/5 (b) 206 (c) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert fa5 (base 16) to base 5.\nAnswer: 112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 5. Let f be k(5). Suppose f = 2*v + 6, -4*w = w + 5*v - 100. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22306 (base 11) in base 12?\nAnswer: 16849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042 plus 7540.9?\nAnswer: 7540.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let d(s) = -1275*s. What is g(d(a))?\nAnswer: 3251250*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 2. Let u be v(10). Let m = u - 7. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 76*o - 71*o + 27 = 0, -5*o - 31 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (222\/(-16) - ((-2142)\/272 + 8)) + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1000 + -792. Calculate the highest common divisor of v and 4888.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13869 = 4*w - 2*z + 1295, 0 = w + 4*z - 3130. What are the prime factors of w?\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 4678?\nAnswer: -5\/2339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12) + (-22)\/(-8). Suppose 7*x + 26 = j + h*x, -4*j = 5*x - 104. Calculate the remainder when 50 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, c: 2, p: 1, v: 1}. What is prob of sequence cv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyol when four letters picked without replacement from {y: 4, l: 7, o: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 996 by 773.\nAnswer: 996\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.008 - -0.012. Let d = -4 - -7. Let x = -2 + d. Put g, 3, x in increasing order.\nAnswer: g, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 22. Let s be y(10). Suppose 0*q - 3*q + s = 0. Let l(r) = -4*r - 5. Calculate l(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -1.4, 2\/11?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40324220 (base 5) to base 13.\nAnswer: b443b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10383, -20920, -31457, -41994, -52531, -63068?\nAnswer: -73605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2) + 4 - (0 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65367 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4745509224?\nAnswer: 2, 3, 23, 439, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.7979 - 2.5172. Round g to 2 dps.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4264775357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2045*d + 24820 = -2028*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 722 - 98 = 0. Suppose -a = -5*s - 4*a + 79, -4*a + 12 = 0. Let i be -2 + s - (-2 + 1). What is the greatest common factor of i and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least as big as 40.437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -3. Let q = -8 - n. Find the second derivative of -q*i + i**4 + 2*i - 2*i + 3*i wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-45) + (-96)\/45 + -3. Let j = 137\/3 + -46. Suppose -4*w + 8 = -6*w. Which is the nearest to j? (a) w (b) t (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i - 8 = 0. Find the second derivative of 6*p + 2*p**3 - 5*p**4 - 2*p**3 - p**i wrt p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 501 and 7796061.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q + w - 5, -2*w = -14. Let q*l - 1\/2 + 1\/2*l**2 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -58\/9, -113, 0, -2, 36, 0.3?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39.2194*0.4\nAnswer: -15.68776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/20 (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82620, 82624, 82628, 82632?\nAnswer: 82636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -286264 - -6?\nAnswer: -286258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 267\/68 - 5177\/340. Find the common denominator of o and (-1)\/(-4) - 5\/(180\/633).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1345, 5387, 12167, 21685, 33941, 48935, 66667?\nAnswer: 87137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Suppose -4*s - g*q = -93 + 15, 0 = -5*s - 3*q + 100. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 2, 6, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 14*b = 0. Suppose 3*f - 179 - 397 = b. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*b**3*v**4 - 11*b**3*v**2 + 2*b**3 + 486*v wrt v?\nAnswer: 204*b**3*v**2 - 22*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, c: 6, q: 1, w: 2}. Give prob of sequence ucc.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(28\/(-21)))\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06791 and 1?\nAnswer: -0.06791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4) + (-198)\/88. Let z be (-6)\/(-9) - (-2)\/n. Suppose -i = w - 145, i + 5*w - w - 154 = z. List the prime factors of i.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -5*sqrt(170)*1)*6)\/(-3*((sqrt(10) - sqrt(30)\/sqrt(3))*4 - sqrt(10))).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 55727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.34389 - -0.26\nAnswer: 0.60389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(0*m + 0*m - 2*m)*(2*m + 6*m - 1 + m).\nAnswer: 36*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 4091?\nAnswer: 4090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97315934 is divided by 1351610?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -3, 63, 55, -18 in ascending order.\nAnswer: -65, -18, -3, 55, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 + 516*q - 8524. Calculate n(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 72, -397 in descending order.\nAnswer: 72, 12, -4, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:52 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 1, g: 5, u: 1, f: 2}. What is prob of picking 2 f and 1 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((74\/(-4))\/((-2)\/4))\/1. Suppose -3*t + 34 = 2*u, -3*u = -5*t - 12 + d. Suppose 0*f - 5*f = 0. Solve -4*v = -2*s - t, -12 = -f*v - 4*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2956 = -4*c, 4*c = -4*u + 4843 + 6993. Round u to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 - 11. Let f(g) = g**3 - 4. Let s = 9 - 6. Suppose -s*a - 9 = -4*a - 2*v, 0 = 5*a + v. Let h be (2 - a - 1) + -6. Determine h*i(t) + 11*f(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57496.79157 rounded to the nearest 10?\nAnswer: -57500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102013 - 11212?\nAnswer: -113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162 + 155.5. Let n = 5.5 + j. What is the smallest value in n, -18, 1\/3, -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161588 divided by -2?\nAnswer: 80794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -913*w - 13691. Give z(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k = -80 + 330. Suppose 4*a + 5*f + 555 = 0, a - f + 126 = 2*f. Let y = a - -2297\/17. What is the nearest to 1\/4 in 1, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0143 minus 4762?\nAnswer: -4761.9857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*l + 3 + 2, 3*l = -b - 2. Let p = b - -21. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -71?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -100 (b) -0.3 (c) 1\/58683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 118*n**2 + 563*n - 47. Give b(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 237. Calculate g(-52).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 6*l**2 + 2*l. Let z(v) = -3*v**2 + 7*v + 7. Let j(q) = -2*q**2 + 5*q + 5. Let d(w) = -7*j(w) + 5*z(w). Determine x(d(p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - 3\/8*f**3 + 3\/4*f**2 + 3\/2*f.\nAnswer: -3*(f - 2)**2*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/2 + 9*b. Suppose 0 = y - 4*u - 37, -4*y + 0*y + 72 = 3*u. Let q(a) = y*a - 10*a - 10*a. Give t(q(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -42. Suppose -f + 2*f = y. Is 47 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*l**4 - 57*b**3*l - 211*b**2*l**4 - 8*b*l**2 wrt l?\nAnswer: -48*b**3*l - 5064*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 830664730 and -0.1782.\nAnswer: 830664729.8218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + (-2325)\/(-9348). Let d = q - -89591\/4674. Let f = -1663\/252 - -1\/63. Find the common denominator of f and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304 - -110440?\nAnswer: 111244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001027346 rounded to 6 dps?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + (0 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.41 + -17.4100157. What is g rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -7496?\nAnswer: 1\/3748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*1190\/425.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 - 33. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (110\/(-11)*18\/(-12)*1)\/((-18)\/96)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -8760\/1307?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and (10563\/(-28))\/((-15)\/20) - 13.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -990 - -995. Solve 0 = 164*a - 165*a + r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -689 and 0.2.\nAnswer: -137.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.105 * 0.9.\nAnswer: 0.0945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyypdwedwwpdpyey. What is prob of picking 1 y and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/42276 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.804481 to 3 decimal places.\nAnswer: -12.804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9218 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*q - 39*q + 46*q + q + 0*q - 4*q + (-2*q - q + 2*q)*(4 + 1 - 6) as c + p*q and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.1357 rounded to one decimal place?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3*s**2 - 2*g**3 - 342*g**2 - g*s**2 + 2*s**2 + 130*s wrt g?\nAnswer: -18*g*s**2 - 12*g - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 15, 4, -513 in ascending order.\nAnswer: -513, -2, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 + 14 = -56*t - 155 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 10. Let x be s(-8). Suppose 2*h + x*k = -1 + 19, -5*k + 21 = -h. Calculate the common denominator of 99\/14 and 18\/(-12)*21\/h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81.0832 + -0.0832. Which is the third smallest value? (a) 2 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = 4*t, -3*c - t = -6*t - 10. Solve 4 = 2*k - c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*p**2 - 14*p**2 - 16*p**2)*(-1 + 1 + 2) - 8*p + 8*p - 12*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h - 70. What is v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*n + 89*n - 925 - 180*n.\nAnswer: -2*n - 925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -2)**2 + 2.\nAnswer: -16*sqrt(17) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2650, 0.1, -2, 5, -0.13 in decreasing order.\nAnswer: 5, 0.1, -1\/2650, -0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/630 + n**6\/120 + n**5\/90 - 6*n**2. What is m in z(m) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*f + 3*u = -13, -4*u = -5*f + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 2 + (-4 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z + 165*z + 369 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24454.\nAnswer: 2, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 - 1 + 4 + 7*i**2.\nAnswer: 7*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(2*p - p - 3*p) - 16*p - 4*p - 6*p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -d + 41. Let z(b) = 2*b**2 - 110*b + 124. What is the remainder when d is divided by z(54)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2948 - -6541. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktkt when four letters picked without replacement from {k: 2, t: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-15)\/(-12))*-1. Let w(g) = -g**3 - 4*g**2 - 4*g - 5. What are the prime factors of w(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6187\/65 - -6247\/65. Determine d, given that 4\/13*d**2 - 2\/13*d**5 - g*d**3 - 10\/13*d**4 + 6\/13 + 14\/13*d = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3 - 9. Suppose -s*k = -6*k - 198. Let w = k - -88. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -20, 244, 2, -5, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1143 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 4*m + 3. Let d be f(4). Determine j so that j - 25*j**4 + 4 + 19*j - 3*j**d - 17*j**3 + 21*j**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3\/4, 2054 in descending order.\nAnswer: 2054, 1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -7 (b) -1 (c) -2\/13 (d) -450 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1835*i - 685*i**2 + 1835*i.\nAnswer: -685*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/8)\/((-12)\/48) - (24 - 10)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -10800?\nAnswer: 10779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, -0.12, -1, 2, 6 in increasing order.\nAnswer: -1, -0.12, 3\/11, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 59829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232.7 + 26.7. Let u = 205.9 + s. Which is greater: 0.3 or u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*h = -147009, -5*k + 3*h - 146985 = 8*h. What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.35 + 59.34. What is the biggest value in -298, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 9*c**2 - 17*c - 5. Let q be t(-13). Suppose -15*l = -3382 + q. What are the prime factors of l?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c (base 16) to base 7\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 + 178.9473. What is s rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**2 + 6*j + 5. Let w = -5 + 20. Let b(g) = 4 - w*g**2 - 17*g**2 + 40*g**2 - 13*g**2 + 5*g. What is 5*b(a) - 4*u(a)?\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 18*k - 43. Let n be l(20). Let p = 23 + n. Solve 0 = 5*d - 0 - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 41*a + 216. Let j be g(-10). Let x(h) = -h - 4. Let f be x(-6). Find i, given that -2*i**2 - 2*i**2 + i**2 - 5*i + j + 4*i**f = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (271 - 258) + (-291)\/(-48) - (-2)\/(-32).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2 (b) 11 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 12. What is the first derivative of -1 + 2 + o + 3*c**3 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + 51. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 23*w - 113. Let k be c(5). Solve 1 = -k*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/((sqrt(640) - sqrt(40))\/sqrt(4)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*u + 2667349*c**3*w**3 + c**2*u*w**2 + 166*c**2 - 2*c*u*w**2 - 3*c*w**2 - 2*u*w**3 - 5*u*w wrt c.\nAnswer: 12*u + 16004094*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z + 8. Let l be p(6). Suppose 4*g + 0 = -l. Is 226\/4 + (-4)\/g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -1313 + 93. Suppose -9*q + 13*q = n. Calculate the remainder when q is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.231 - 0.055. Round d to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173374 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n - 333*n = -89 + 22707. Which is greater: 55 or n?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2975)\/136 - (-1)\/(-8). Let s(w) = w - w**3 + 2*w - 2*w + 1 + w**2. Let c(g) = 12*g**3 - 11*g**2 - 11*g - 10. Give b*s(z) - 2*c(z).\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 5*a + 0*a**2 - 5 - 3*a**2 - 3*a**2. Determine v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Suppose -h - 2 + p = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h. Let x(w) be the third derivative of -w**4\/8 + 2*w**2. Let b(v) = 2*o(v) - 7*x(v). Let p = -140 - -140. Determine b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 11. What is j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let y(c) = -6*c**2 - 4*c + 4. Let a(p) = 5*p**2 + 3*p - 3. Let j(r) = 4*a(r) + 3*y(r). What is j(m(q))?\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37602264 divided by 21.\nAnswer: 1790584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (23 - 31 - 30).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12102202220 (base 3) to base 2\nAnswer: -11010000111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 1. Suppose -2*p + 15 - 5 = 0. Suppose -4*h = -p*h - 1. What is b(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 1 - -8)\/(1\/3). Find the third derivative of -l*v**3 + 4*v**3 - v**2 + v**3 + v**6 - v**3 + 143*v**2 wrt v.\nAnswer: 120*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2364*u**2 - 4*u + 0*u + 4*u.\nAnswer: -2364*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*d + 59*d - 214*d + 53*d + 48*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 2\/13 (b) -1\/328 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h - 25 = -253 + 148 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 501*l - 498*l - 2*l**2 + 3*l**2 + 11*l**3 - 1 + 2 to g*l + q*l**3 + y*l**2 + t and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5742 - 300. List the prime factors of x.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112230 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 5944 + 1320 = 0. List the prime factors of g.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-210)\/8)*42\/(-448)*48.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*r + 317*r - 157*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 62?\nAnswer: 21\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let j(g) = -3059*g**2. Give j(a(l)).\nAnswer: -12236*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2 - 7 + 1 - 6399*q**2 + 6400*q**2. Let h(c) = 3*c**2 - 3*c**2 - 2*c**2. What is y(h(n))?\nAnswer: 4*n**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**5 + 5053*y**4 + 14691*y**2 wrt y?\nAnswer: -60*y**2 + 121272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2\/9, -37\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.00986?\nAnswer: 0.00493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - w)*(2821*w + 1976*w + 2066*w + 453*w).\nAnswer: -7316*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-32) - (27\/4 - (-92)\/(-23))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h. Let v(o) be the third derivative of 1711*o**4\/12 + 3513*o**2. Calculate v(g(l)).\nAnswer: -6844*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 176545519 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/234*4\/(-14)*133\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 1e16c7?\nAnswer: 1e16c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -886*h**4 - 42*h**2 - 18*h - 13. Let f(v) = -442*v**4 - 21*v**2 - 8*v - 6. Let n(i) = 13*f(i) - 6*m(i). Find the third derivative of n(z) wrt z.\nAnswer: -10320*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 66626, 64752, 62882, 61016, 59154?\n\"Answer: 2*t**2 - 1880*t + 68504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, -1, -13?\n\"Answer: -12*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -49257 (base 12) to base 7\nAnswer: -561124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**3 + 0*t**4 + 1\/300*t**6 + 1\/525*t**7 + 0*t + 0*t**5 + 0 - 5*t**2. Factor q(i).\nAnswer: 2*i**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*g**3 - 10*g + 8*g + 25 + 4*g wrt g?\nAnswer: -252*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 646*g**2. Let r(v) = -14502045 - 4*v + 14502045. What is l(r(y))?\nAnswer: 10336*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z = h - 0*h - 19 + 1, -2*h = -5*z + 1238 - 1274 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -3*o - 152. Find the common denominator of ((-54)\/2673)\/(4*o\/(-327)) and -87\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwxiixkss. What is prob of sequence kws?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(11 - 5) - (-364)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 9 = f, o + 0*o + 5*f = -18. Let l = o + 8. Suppose -l - n + 5 + n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277162 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1706915 divided by 6967?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(2 + -1) + 1. Let p(m) = -m**2 - 2*m + 7. Let r be p(o). Let a = 28 - r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509145451.\nAnswer: 19, 619, 43291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 - 3 + 0*t**3 + 3 - 6*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 162771, 168796, 174819, 180840?\n\"Answer: -c**2 + 6028*c + 156744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46497808 - r + 23248902 + 8*r**3 + 23248906 - r**3.\nAnswer: 7*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/66248 and 17\/28392?\nAnswer: 198744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -9 + (-10 + 3 + 34 - 15).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46572370\/3339 - -13948. Is i greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 2*w)*(-4 - 1 + 3) - 2*w - 2*w + 3*w + 2*w - 7*w + 0*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeeeeeetee. What is prob of picking 1 t and 3 e?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2669470776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) 44 (b) 5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*z - 63 = 37, 18 = o + 3*z. What is the remainder when (10\/4 + -6)\/((-6)\/240) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 8) in base 15?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkzz when four letters picked without replacement from wzkwwkwkkzkz.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Let d(g) be the third derivative of -g**6\/120 + g**5\/12 - 5*g**4\/24 + 2*g**3\/3 + g**2. Let k be d(r). Solve k = -y + 4*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 2*t + (1 - 3 + 1)*(-4*t - t + 4*t))*(-28 + 2*t + 28).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145656*r + 291515*r - 145613*r.\nAnswer: 246*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbsssbbbstbtb. Give prob of sequence sb.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 96401 - 10c?\nAnswer: 962f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16206528 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Suppose 0 = 3*w - 2*w - 2. Let c be g(w). Suppose -79 = -3*b + 5*x, c*x - 80 = -5*b + 2*x. What is the remainder when 34 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 2*q - 7*q + 7, 0 = c + q - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-45))\/(4\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.60101 to 0 decimal places.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -6*t**5\/5 + 3*t**3 + 15. What is the third derivative of o(w) wrt w?\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z. Suppose z*j = 4*r + j + 32, -2*j - 28 = 4*r. Let h be 0 - r*1 - 1. What is the highest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-2\/35)\/((l\/(l*l\/(l\/l**7)))\/l**3) assuming l is positive.\nAnswer: l**(699\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983662.\nAnswer: 2, 1301, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkdd when four letters picked without replacement from kkkbdzdddzdldl.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1367, -1373, -1383, -1397, -1415?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + (sqrt(95) - (3*sqrt(95) + sqrt(95))*1)\/(sqrt(405)\/sqrt(9) - sqrt(5)))**2.\nAnswer: -6*sqrt(19) + 187\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 - u - 9*u**2 + 134 - 67 - 67.\nAnswer: 5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {m: 2, p: 1, z: 5, g: 6, l: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.21 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031895 rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - j**2 + j + 11. Let k(h) = 11*h**3 - 6*h**2 - 27*h + 43. Let o(i) = k(i) - 5*s(i). Determine o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12773 - 12755. Solve 13*a - 10 = p*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 0, 107 in decreasing order.\nAnswer: 107, 56, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-660)\/(-18) - 4\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (8 - -11) + -3 + -17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2*n**2 + 17*n + 6. Let h(r) = r + 4. Calculate -26*h(c) + 6*m(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43497 and 729?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -3*l**5\/34 - 929*l**4\/51 - 57412*l**3\/51 + 7688*l**2\/17 - 20*l - 4. Determine k so that u(k) = 0.\nAnswer: -62, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (171\/72 - 3)\/(2\/(-16)). Let m(o) be the second derivative of -29*o + 0 - 13*o**2 + 0*o**3 + 11\/10*o**v + 0*o**4. What is the derivative of m(a) wrt a?\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/8 + 231*f**3\/8 - 1417*f**2\/8 + 1185*f\/8 = 0. Calculate f.\nAnswer: -237, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 189581397*u + 988685737?\nAnswer: 189581397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40584051683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 z when three letters picked without replacement from {t: 1, d: 2, f: 1, l: 1, z: 1, w: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -728*g**3 - 179*g**3 - 871*g**3.\nAnswer: -1778*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. What is the third derivative of g**k - 6*g**2 + 3*g**4 + g**2 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 19122*i**3 + 30470907*i**2.\nAnswer: 3*i**2*(i + 3187)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10069, 10093, 10129, 10183, 10261, 10369, 10513?\nAnswer: 10699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*60\/(-225))\/((-76)\/912).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)\/(j*j\/((j\/j**(-3\/11))\/j)))**(3\/2) assuming j is positive.\nAnswer: j**(-519\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 608051 to the power of 1\/2, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 0\/(-2 + -2). Let o be (-12)\/(-6)*x\/2. Which is the closest to o? (a) 2 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b - 20. Solve b*i - 12 = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23295 - -3?\nAnswer: 23298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -105. Factor 1\/5*o**s + 1\/5 + 2\/5*o.\nAnswer: (o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15222 * -4.\nAnswer: 60888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - 133\/(-3). Suppose 24*t - j = 13*t. Let k(i) = -4*i - 3. Give k(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72 - -1?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**3 - 15*r**2 - 4*r - 11. Let u(m) be the first derivative of -7*m**4\/4 - 8*m**3\/3 - m**2 - 6*m - 32. Calculate -6*o(p) + 11*u(p).\nAnswer: p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.08, -5\/6, 2\/13, -0.2, -179?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413324 and 144988?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 31 = -r + 3*p, -5*r - 3*p = -147. Let c be (-8)\/(-6) + (-9)\/r. Which is smaller: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2646 - 5 - ((-6)\/(-6) - 2)?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28900*d**4 + 46546*d.\nAnswer: 346800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0 (c) 831\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1011120202?\nAnswer: -1011120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = -5*q - 16, -5*w + 5*q - 100 = 0. List the prime factors of (22\/(-20))\/((-6)\/w)*-100.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, -0.2, 2148, -18, 5 in ascending order.\nAnswer: -18, -0.3, -0.2, 0, 5, 2148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30350799?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20522045?\nAnswer: 5, 1109, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efadaaaaaaapaaed. What is prob of sequence afe?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*f + 15 = 2, 2*q = -5*f - 6. What is the least common multiple of q and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p + 11*p - 2 + 2 to the form z + a*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-378))\/10*3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2512 (base 7) to base 9.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-341 - -350) + (-3 - (1 - -12)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*b**2\/17 - 984*b\/17 + 9976\/17.\nAnswer: 2*(b - 58)*(7*b - 86)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/42)\/(-10 + 6) - (-48)\/(-84)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1994, 2, 1.\nAnswer: 1, 2, 38, 1994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 680*v**2 + v - 2. Let b be l(-1). Let z = b + -327. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*w + 5*k - 305 = 109*w, 0 = -w + 5*k + 135. Put 50, -3, w in decreasing order.\nAnswer: w, 50, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 245*v**3 + 6*v**2 - 823*v - 21773632.\nAnswer: 735*v**2 + 12*v - 823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 5396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:27 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4629 times 5\nAnswer: -23145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11103398*c**3*n**2 - 3627*c**2*n - 1294*n**2 - 2 wrt c?\nAnswer: -66620388*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, j: 5, r: 4, z: 5}. Give prob of sequence zj.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56411, -112847, -169287, -225731, -282179, -338631?\n\"Answer: -2*l**2 - 56430*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11673.312593 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 3\/13, -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108057.68925 rounded to the nearest integer?\nAnswer: 108058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8376 = -4*m + 3660. Let u = 30029\/10 - m. Calculate the common denominator of u and -11\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 at least 1452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (801\/18)\/(((-3381)\/98)\/69)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by -39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 0.4 (c) 10 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/31 - -106\/93. Let a = -2.618 - 0.382. Put u, 2\/5, a, -1 in ascending order.\nAnswer: a, -1, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 193 and 3818119.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/240 + f**3\/24 - 5*f**2. Let c(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1331) + 1)**2 + -1 + ((sqrt(1331) + sqrt(1331)*1 - sqrt(1331))*-6*-3)**2.\nAnswer: 22*sqrt(11) + 432579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242024 - -15?\nAnswer: -242005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, n: 1, d: 3}. Give prob of picking 1 m, 1 d, and 1 n.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/800*(3 - (-33)\/(-12)). Let m be 9*10\/(-180) - (-6)\/4. Is m equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 5*g - 6*g - 3*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*g + 95 = 3*x, g = 5*x - 177. Suppose -x = 2*f - 117. Let t = -14 + f. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6256 and 41\/2720.\nAnswer: 62560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/3 + 1256*p**3 + 8*p**2 - 45248*p\/3 + 20096 = 0. What is p?\nAnswer: -4, 2, 1884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (sqrt(102) + 1*sqrt(102) + sqrt(102) + sqrt(102))*-1 + sqrt(102))*-5)\/((sqrt(294)*6 + sqrt(6))*4).\nAnswer: 5*sqrt(17)\/86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - m + 2. Let w be h(-4). Let z = w - 24. Let n be 3\/z - (-374)\/44. Solve 0 = q - g + n, 4*q + 3*g - 7 = -0*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -11*n**6\/60 - 29*n**5\/15 - 59*n**4\/12 - 4*n**3 - 10*n**2 + 21. Factor j(w).\nAnswer: -2*(w + 1)*(w + 4)*(11*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 33*h + 268. What is o(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a**4 + 2*a**3 + 21*a**2 - 2. Let z(p) = -12*p**4 + 3*p**3 + 21*p**2 - 3. Let u(i) = 3*f(i) - 2*z(i). Find the third derivative of u(t) wrt t.\nAnswer: -288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n + 3*t, -8 = -n - 3*n - 4*t. Suppose -4*b - 2*m = -43 + 9, -4*m - 42 = -3*b. Suppose n*u - b = -6. Solve 3*d + u + 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10276309?\nAnswer: 967, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6906*v + 6909*v - 20765*v + 6953*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-8 - (-7 - (3 + -7))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*(v**(-2\/35)\/v)\/v*v)\/v*v)\/(v\/(v\/(v*v**(-6\/11))*v)) assuming v is positive.\nAnswer: v**(958\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-1)\/(-6))\/(230\/207)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1. Let q = -11 + 5. Let z(g) = 4*g - 20. Let a = -4 - -2. Let o(r) = -r + 5. Let t(k) = a*z(k) - 9*o(k). Determine q*w(s) - t(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708679 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.607 + 0.85. Let i = 0.043 - k. Let a = -925\/11 + 84. Is a < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - -13 - (84 + -33)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 2*h**3 + 17*h**3 - 12*h**3 + h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -20*s + 5*v - 480, -3*v = 0. What is the lowest common multiple of 75 and s?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.103 + 0.703. Let g be (-3)\/(-14)*(-12)\/(-9). Which is the third smallest value? (a) g (b) 0.1 (c) j (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m + 2. Let c(n) = 42*n - 105. Let h(q) = -c(q) - 18*o(q). Let j be h(16). Sort 4, j, 2.\nAnswer: j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 + c**2 - 2*c**3 + 1 + 3*c**3 - 2*c. Let j be m(1). Put j, -1, -3 in ascending order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-102))\/((-1)\/(6\/1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 6:54 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 26 = -50. Let x be z\/20*(-30)\/(-18). Solve -17 = 5*q + 2*c, -2*q - x - 8 = 4*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -17*m + 176. What is the remainder when 315 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 2\/219 (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 10*l + 5*l + 12*l + 20*l**2.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 228*d + 51. Give b(1).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4)**(-45)*(i**(-30))**17 assuming i is positive.\nAnswer: i**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 8:57 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110010001 (base 2) in base 5?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.0523?\nAnswer: -3.9477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001853 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181725, 362873, 544021?\nAnswer: 725169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - l - 16, 5*i - 28 = i - 3*l. Suppose 35 = -3*p - i*g + 89, -p + 2 = -4*g. Solve 3*w - p = -2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178 and 4641617?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*k - 18527 = -191*k + 7195. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6159904 = 4*s, 3*y + 3079970 = y + 4*s. Let d be (-3)\/(-4) - y\/28. What is d rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - x + 8. Suppose 0 = -5*z + 3 + 12. Suppose z*y = -0*y. What is the units digit of b(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -69*y + 117. Does 5 divide b(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c57 (base 13) to base 4\nAnswer: -1003021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 0.049658?\nAnswer: 0.249658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*p = -3*p + 13, -5*k + 2*p + 65 = 0. Let w = 5 + k. Solve 4*j = -2*r + w, r + 4 - 1 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59855646 and 1205499?\nAnswer: 1376679858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9 (b) -2 (c) 2 (d) -2\/11 (e) -0.2 (f) 4 (g) -0.129\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11365, 11407, 11459, 11527, 11617, 11735, 11887?\n\"Answer: p**3 - p**2 + 38*p + 11327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 19)*(-3)\/144*-4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/2 + 316*x**4 - 50858*x**3 + 291083*x**2 + 890485*x\/2 - 685783 = 0. Calculate x.\nAnswer: -2, 1, 7, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**2 + 6*n + 3. Let v be c(-7). Let i = -196 - v. Let h = 294 - i. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141228888 by -35307222.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*k**3 + 39*k**3 + 17*k**3 - 4*k**3 - 6*k**3)*(-2*k + 3*k + 0*k)*(-225 - 382 - 186).\nAnswer: -56303*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/((-5488)\/617400)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -480, -0.1, -832?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 + 611b?\nAnswer: 60a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/(-1029*18\/6804)?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 6\/17*k**5 - 2\/17*k**3 + 0 + 8\/17*k**4 + 0*k - 4\/17*k**2 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**5 + 3 + 0*c**3 - 1\/2*c**6 + c**2 + 0*c**4 + 0*c. What is the second derivative of t(f) wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/6)\/(10\/(-30)). Let p = 5 - -3. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 40 + 50. Let f = 64 + -37. Calculate the remainder when f is divided by (15\/(-6))\/((-3)\/l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s - 63 + 51 - 85*s.\nAnswer: -4*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4*d**2 - 4*d. Suppose 4*c - 8 + 20 = 0. Let q be h(c). Suppose 3*j - 8 = 1. Solve n + j = -3*a, 2*a - 6*a + q*n = 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 7:00 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7882874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 711*i - 18487. Give d(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1028584 and 35225164?\nAnswer: 7676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552 < 7101\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Suppose h + 2*h - w + 610 = 0, l*h = 4*w - 1012. Let t be h\/8*200\/1. What is t rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 2, 5, 310, 0.\nAnswer: -3, -2, 0, 2, 5, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 5*d + 3. Let m be i(-4). Let n be 4 - -3 - (-3)\/m. Calculate the remainder when 12 is divided by 2 - -3 - (2 - n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403097909 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: Simplify 0 + (0 + 5 + sqrt(1008) + (0 + sqrt(1008) + -5)**2 - (((0 + sqrt(1008))*2)**2 - 6*((sqrt(1008)*3)**2 + sqrt(1008) - sqrt(1008)))).\nAnswer: -108*sqrt(7) + 51438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*f**4*w**2*x - 144*f**3*w**2*x**2 + 2*f**2*w**2 - 2*f**2*x**2 + 10*f*w**2*x**2 - f*w**2 - 31 wrt f.\nAnswer: -3576*f*w**2*x - 864*w**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -808, -657, -504, -349?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*z - 247. Let x be ((z\/(-15))\/4)\/(14\/35). Let k be (1 + -4)\/((-57)\/2). Which is the third biggest value? (a) x (b) 1\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -65.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7663 = -3*q + 2*w, 30*q - 31*q + 2573 = 4*w. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0 (b) -3187 (c) -3 (d) 1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 324*w + 1. Let o(f) = 2192*f - f**2 - 2192*f - f**2. Determine h(o(a)).\nAnswer: -4*a**4 + 648*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2 - 135\/(-18). Suppose -3*j - h = -0*j. Is (4\/(-16))\/(j\/1016) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 163, 159, 153?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2150532 divided by -311?\nAnswer: 2150532\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1065*r**3 - 9*r**2 - 3831. Let a(w) = 355*w**3 - 3*w**2 - 1277. Let n(l) = -11*a(l) + 4*o(l). Find the first derivative of n(c) wrt c.\nAnswer: 1065*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 72\/5*u**2 + 14\/5*u**5 - 52\/5*u**3 + 0 - 16\/5*u - 18\/5*u**4 = 0.\nAnswer: -2, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2032*c**2 + 89*c - 4. Is v(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 20. Let d = u + -7. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/2 - 3) + 1. Suppose -2*u + u - 4 = -d*l, u = -2*l - 4. Suppose 4*v - y - 31 = l, 0 = -v - 3*y + 11. What is the least common multiple of 5 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(130)*-1 + sqrt(130))*4)\/(2*sqrt(100)\/(sqrt(10)*-2)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 27 + -23 + 8 + 0 + -11\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 10) to base 5\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - 72) + (2 - (-12 - (-2 - 3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:32 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + w + 31, -4*c = w - 20 - 3. Let q = -4 + c. Suppose 2*l - 21 = l - q*h, -l - h = -17. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {a: 2, r: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63360)\/(-348) - (-18)\/(-261). Calculate the greatest common divisor of q and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 4. Suppose -4*a - 2 = -3*t, -3*t = -8*a + 3*a - 7. Let x be p(t). Solve -x*r = -0*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -39. Let z(c) = -c**2 + 10*c - 8. Let p be z(t). Solve -4*l + p = 0, -4*v + 22 = -5*v + 5*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 69097546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -144 - -145. Let y(h) = h**2 - 4*h + 2. Let z be y(5). Suppose 4*i + 1 + z = 0. Which is the closest to 1? (a) i (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -364 + 699 - 47*v - 358 + 6707*v**2 wrt v?\nAnswer: 13414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:26 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11997, 12267, 12537?\nAnswer: 12807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -390 divided by -195?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -6317, 5, -2\/5, -38?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 1. Suppose 4*w = -3*h - 47, -3*h + 1 - 43 = 3*w. Let a be v(h). Let n = a + -5. What is the least common multiple of n and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 87. Which is the second smallest value? (a) -2\/7 (b) x (c) -3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -7*r**2 - 6*r + 27*r**3 - r**2 - 13*r**2 + 7*r - 7*r**3 = 0.\nAnswer: 0, 1\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*t - 68. Calculate the remainder when 77 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**4*f + 12447*b**2*f - 629*f + 12 with respect to b.\nAnswer: 16*b**3*f + 24894*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8677946, 8677956, 8677966, 8677976?\nAnswer: 8677986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 19\/8 (c) -5 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 11*o**5\/45 + o**4\/54 - 22*o**3\/27 - o**2\/9 + 13*o - 322. Let c(i) = 0. What is i?\nAnswer: -1, -1\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067139877.\nAnswer: 11, 6949, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521.036882 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*z + 234. Suppose 4*m = z + 41. Calculate the greatest common divisor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.1 + -32.1. Let q = -22 - o. What is the second biggest value in 0.4, q, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 2, h: 12, r: 1, f: 2}. Give prob of sequence qf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from wbkrkiz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995039224.\nAnswer: 2, 37, 89, 107, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -447\/56297 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019798 rounded to 5 decimal places?\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 5*h**2 + 16*h + h + 6*h**2 + 4 to the form b + p*h**2 + i*h and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 10*s - 21. Let u be 90\/(-21) + 6\/s. Let x be ((-51)\/27 - -1)*(-1)\/(-4). Which is the second smallest value? (a) u (b) -1 (c) x (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}