diff --git "a/data/dm_maths/full_data_2/4533_11255.jsonl" "b/data/dm_maths/full_data_2/4533_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/4533_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(f) = -3*f**2 + 19*f + 42. Let m(h) = 21*h**2 - 135*h - 294. Let x(g) = -15*i(g) - 2*m(g). Factor x(d).\nAnswer: 3*(d - 7)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109631537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/21 and -53\/885.\nAnswer: 6195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 702448.\nAnswer: -5\/351224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 323 - 326.98. Let i = 34 - 34.02. Let j = i + t. Is j greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:06 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269 divided by 14.\nAnswer: -269\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onllolrrrnrmvno. Give prob of picking 1 l and 2 o.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -417.92 + 418. Which is the nearest to h? (a) 1 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12297390?\nAnswer: 2, 3, 5, 7, 31, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15985372 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 16*q + 2*o = -1147, 5783 = 5*q - 2*o. Is q a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43136 (base 10) in base 5?\nAnswer: -2340021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + f - 2*f)*(3 + 4 - 5) + (-1 - 2 + 1)*(63 + 12*f - 63) to the form a*f + u and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2383 times -49925\nAnswer: 118971275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -32 + -57 + 0 + -2 + 5.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/17)*j*j**(-1\/9))\/(j\/(j*(j\/((((j\/j**2)\/j*j*j*j)\/j*j)\/j))\/j)*j\/((j*j**(-4)*j)\/j)*j))**(-5\/8) assuming j is positive.\nAnswer: j**(3235\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 5*j + 20, 22 = 2*f + 5*j + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00579 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 42 = 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)\/1 - 6866. Let f = t + 16764. Let k = -118637\/12 + f. Calculate the common denominator of k and -73\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*(x\/(x\/(x\/x**(-2))))\/x)\/(x**0)**(4\/19)*((x**3)**(19\/5))**(-19) assuming x is positive.\nAnswer: x**(-1088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 - (1 + 3\/(-2)). Suppose -4*z - k = -3*g, -5*g + 9 = -3*g - z. Solve g*j - 3*j - 14 = 2*b, 4*j - 15 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -43 - (12 + -15 + 26 + -32)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:28 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 11*b**2 + 2*b + 4. Determine t(10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-1*2)\/2. Let m(l) = l**2 - 24*l + 25. Let a be m(23). Find the second derivative of -3*g**2 - 3*g**f + 7*g**a + 2*g wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19, 15, 120, 6 in descending order.\nAnswer: 120, 15, 6, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*w + 61 = 0, -2*w - 53 = -i - 4*i. Factor 5*j**4 + i*j**3 - 6*j**5 - 7*j**3 + 3*j**5.\nAnswer: -j**3*(j - 2)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u)\/(u\/(u\/u**(-2)))*(u**(1\/8))**(-11) assuming u is positive.\nAnswer: u**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18999073.\nAnswer: 127, 211, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*q + 2 + (-3 + 5 - 3)*(-4*q - 2*q + 4*q) + q + q - 3*q - 23 - 33*q + 93*q + 21 as f*q + m and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.168 - 0.632. Sort u, -0.5, -0.1 in increasing order.\nAnswer: u, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 44 = 4*d. Let g be (d\/11)\/(3 - 1). Which is smaller: g or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3391 by 4150.\nAnswer: -3391\/4150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -777364*v. Let z(i) = -3*i**2. What is w(z(c))?\nAnswer: 2332092*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 7828664 + 14540269. Let y = -6765437 + c. What is y rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/9 in 0, -1\/5, 4\/21, -98, -2\/11, -10\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + -106.04. Sort -2, -1\/4, v in decreasing order.\nAnswer: v, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbvrvbvvvbvbbbbbvbv. Give prob of picking 3 b.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.13862 and 509 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -210, -300, -392, -486?\n\"Answer: -a**2 - 87*a - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -20767.5\nAnswer: -20767.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 501 - 500. Let g = 1 + 0. Which is the closest to t? (a) 0.1 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-308)\/(-33) - (-23)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 - 318.000646. Round c to five dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10638, 10637, 10636, 10635, 10634, 10633?\n\"Answer: -z + 10639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8119, -8097, -8075, -8053, -8031, -8009?\nAnswer: -7987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001353176 to seven decimal places.\nAnswer: -0.0001353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 6*v**2 + v + 2. Let w be d(6). Let i = w + -2. Calculate the remainder when i is divided by 112\/14 - (1 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -9. Suppose -2*i = l - 9, -2*l = -i - q*l - 6. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2 - 6\/(-4). Suppose 0*i = -i - j. Which is smaller: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, o: 2, e: 5, x: 2}. What is prob of picking 3 u?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*t**3 + 15*t**3 - 26*t**3)*(412*t - 15293 + 15293) to the form x*t**2 + b*t**3 + g + y*t + i*t**4 and give i.\nAnswer: -17304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (7 + (-15 - 0 - -7) + 7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -4 + 2)**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -9. Suppose -9*f + 251 = -6*f - o, o = -x. List the prime factors of f.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**5 - 216*r**3 - 98928*r**2 + 163838262*r wrt r?\nAnswer: 60*r**3 - 1296*r - 197856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 50*b**2 - 460*b + 3416. Give d(-33).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(3*1\/(-2)). Suppose -4*h + 16 = -4*u, -4*h = 3*u + 2*u + 20. Suppose 5*q - 2*q - l = h. Solve -o - 11 = q*w, 5*o + w = 6*w + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 4. Let r(b) = -3*b + 3. Determine 2*g(c) - 3*r(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70413190 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138439123 is divided by 375?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 473, 30, 2 in descending order.\nAnswer: 473, 30, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*18\/32*-4. Let a be (-95)\/2*16\/20. Let h = a + 33. Put h, -2, q in ascending order.\nAnswer: h, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/34 + -77\/306. Let w = 1443\/17 - 85. What is the nearest to 0 in 1, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.07, 74 in increasing order.\nAnswer: -1\/3, -0.07, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 111, -1\/2 in decreasing order.\nAnswer: 111, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - 66*g + 91. What is the remainder when 658 is divided by n(-10)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(2*i + i - i)*(174*i**4 + 491 - 491).\nAnswer: -696*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 15 - 24*h**2 - 8*h**2 - 7*h - 11 - 6*h**2 + 39*h**2. Let m be (2 + -1)\/((-1)\/(-8)). Calculate l(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5671190 divided by -14\nAnswer: -405085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 11 - (11 - (-4 - -10)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20694657 is divided by 1644?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7228 - -7231. Suppose 2*q + w = -0*q + 7, 0 = -2*q + 3*w - 5. Solve -5*v = -2*o - 24 + 9, 25 = d*o + q*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 54 + 51 = 0. Suppose -3*f + k = 2*f. Calculate the highest common factor of 42 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 4, n: 1, c: 1}. Give prob of sequence nppc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 26 = -34. Suppose -q + 4*y = -133, -5*q - w*y - 266 = -7*q. Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 21 - 26*s**2 + 5*s**2 + 81.\nAnswer: -21*s**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*i*l*s**2 - i*l*s - 25*i*l + 2*i*s + i + l*s**3 wrt s?\nAnswer: 166*i*l + 6*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -113, -250, -451, -722, -1069?\nAnswer: -1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - ((-5 - 2) + 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 8. Let a be c(8). Put 3, a, -440 in decreasing order.\nAnswer: 3, a, -440","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*(1428\/(-136))\/((-3)\/(-3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 182246399 times -2?\nAnswer: -364492798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1266362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-8))\/1*42*56\/3528?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1708 + -1708.00003958. Round k to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*g - 11 - 725 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.11 + -0.11. Let o = 38 + -38. Let k = 2 - o. What is the nearest to 0.2 in -0.1, k, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(68)*-4 + sqrt(68))\/sqrt(4))**2*-4 - ((sqrt(102)\/(sqrt(6) + sqrt(54)))**2 - sqrt(204)\/(sqrt(192) - sqrt(12))))*-6.\nAnswer: -6*sqrt(17) + 88281\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g. Let h(a) = -2*a**2 + 4357*a. What is p(h(x))?\nAnswer: -4*x**2 + 8714*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((3 + 6)\/(-3)). Suppose -7*r + 35 = -c*r. What are the prime factors of r*12\/15 - -1*131?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.1 - 9.1. Let t = 41.9 - w. Sort -1, t, -6 in ascending order.\nAnswer: -6, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1) + 1 + 1. Suppose -16 = -4*t + s, 0*t + 2*s = n*t - 12. Let u = 12 + t. Calculate the lowest common multiple of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(28\/(-52)) + 6. Which is the second biggest value? (a) 0 (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5 + (-6*-5*(sqrt(245)*-1 + sqrt(245)) - (6*2*sqrt(245) - (-1 + sqrt(245) + 0)))**2)*5 + 2).\nAnswer: -741035 - 3850*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 41186550?\nAnswer: 41186551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 - 2 = 0. Suppose 0 = 4*x - 2*x + u. What are the prime factors of 1*5\/((-1)\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z + 21*z - 20*z - 3*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14295 + -14284. Solve -o = -2*f - 7*x - 10, x + 5 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -13\/5, -4 in ascending order.\nAnswer: -4, -13\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143328 is divided by 211.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28336155 - -34?\nAnswer: 28336200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/(9\/(39 - -6)). Find the second derivative of -4*m - y*m**4 + 7*m**5 + 9*m - 2*m**4 - 1 - 11*m wrt m.\nAnswer: 140*m**3 - 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Let b(a) = -a + 9. Let r be b(5). Solve r*s + 3*u = 8, -6*s + s + o*u = 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 204*t + 607. Give y(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, 8, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*sqrt(176) - sqrt(176)) + sqrt(1331)*-2 + 4 + (sqrt(11) - (2 + sqrt(44)) - sqrt(99)\/(-2*sqrt(9))) + -3)**2.\nAnswer: -22279\/2 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 0, -2, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let y = -2 - -4.4. Let x = -0.4 + y. What is the third smallest value in n, x, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1578688*p**2*v - 194*p*v + 50*p - v wrt p?\nAnswer: -3157376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -536, -552, -568?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/60202 and -33\/31522.\nAnswer: 948843722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = 4*h - 187 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176 + 2351 + 4*z**2 - 1175.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -0.31.\nAnswer: 4.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 30 = -5*h, 4*z - 2*h - 26 - 28 = 0. Suppose 20*k - z*k = 25. Solve -l = -3*x + 2, -3 - k = 3*x + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esef. Give prob of picking 1 e and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222621, 445240, 667859, 890478?\nAnswer: 1113097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/5 - 269874*z - 4048092\/5 = 0. Calculate z.\nAnswer: -674682, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-18)\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2670*l - 2582 = 1277*l + 1260*l - 7769 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from mmmmmmmfmmfm?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/47, -105, -3\/8?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 1. Let k be r(1). Let y(q) = k*q + 4*q - 3*q - 4*q. Let z(b) = -6*b. Determine y(z(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w + 72*w - 97*w.\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**3 - q**3 - 4*q**3)*(-6 + 2 + 1)*(-2 + 6 + 0) to the form i*q + l*q**3 + m + j*q**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 2*m + 1. Suppose 20*b + 7*b - 21330 = 0. Let n = -789 + b. Give t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 7*m + 6. Let j be 54*1\/(12\/20). List the prime factors of (m\/(-2))\/(5\/j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6916.895ml?\nAnswer: 6.916895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 75 = 372 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/((j**(-3)*j)\/j))*j)\/j*j*j*j)\/j**(-3)*(j\/((j*j\/j**(-1\/4)*j)\/j))\/j*j**(-7\/2)*j*j*j assuming j is positive.\nAnswer: j**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904.7094 litres to millilitres.\nAnswer: 904709.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(7\/4)\/(m*m*m\/m**(3\/4)*m*m))\/((m*m\/(m**(-5\/2)\/m)*m)\/m*m**(2\/7)))**(-29) assuming m is positive.\nAnswer: m**(1682\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 903.4268 decades to centuries.\nAnswer: 90.34268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25009.985 rounded to the nearest 10?\nAnswer: -25010","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676560.\nAnswer: 2, 3, 5, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/60 - 2*w**5\/5 + 13*w**4\/12 + 5*w**2 - 24. Suppose n(t) = 0. Calculate t.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a - 12. Suppose -2*l + 217*g = 215*g + 6, -3*l = -5*g - 1. Determine r(l).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 4. Let m(d) = -2*d**3 + 68*d**2 - 286*d + 16. Let w(s) = 4*k(s) - m(s). Find the second derivative of w(z) wrt z.\nAnswer: 12*z - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250.8 - -255.8. Which is the fourth biggest value? (a) 1\/4 (b) -5 (c) -397 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 28*s + 15. Let v(u) = 9*u + 5. Let o(l) = -2*r(l) + 7*v(l). What is the remainder when o(4) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 17 = -2*v + 5*v, -4*h = 5*v + 15. Let t be (2\/v)\/(2\/(-7)). Let o = 5 + t. Which is the second smallest value? (a) 0.5 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108 + 151?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 + 4*p**3 + p**2 + p**2 + 15*p - 4*p**2. Let v be z(10). Let h be ((-4)\/(-10))\/((-7)\/v). What is the greatest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.8818 to one decimal place.\nAnswer: 38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = -3*n + 6, 0 = -2*n + m + 17. Let w = -3 + n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 + 87 = -3*s. Calculate the remainder when 47 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*o - z + 14, -5*o + 5*z = 0. Calculate the remainder when 29 + -1*(o - 2) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1022.45 * 1.\nAnswer: 1022.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3)*(-81)\/(-18). Calculate the remainder when ((-2)\/t)\/((-2)\/24) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(252) + 5 - sqrt(252))*-5 - (0 + 5 + -3*(0 + sqrt(252))))**2 + -4.\nAnswer: 57420*sqrt(7) + 295449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2 + 13*o. Let g(z) = -z**3 + 15*z**2 - 25*z + 1. What is 2*g(t) + 5*n(t)?\nAnswer: -2*t**3 + 15*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1466793\nAnswer: -1\/488931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201574 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 3 - -10) + -2 - -1 - 17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j + 9028*j**3 + 29158*j**3 - 52*j.\nAnswer: 38186*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n**3 - 144*n**2 - 92*n - 4. Give g(6).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*i - 3*v, 4*i - v + 11 = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - u)*(10 + 3*u - 10).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**12*x*x*x**(-1\/5))\/(x**(-2)\/x*x**(-6)) assuming x is positive.\nAnswer: x**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {w: 4, j: 10, o: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve v + 26 = -d + 33, 4*v - 22 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 12. Suppose 0 = -0*q + l*q - 9. What is the lowest common multiple of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(128) + (sqrt(128)*-2)**2) - sqrt(128) - (2*sqrt(128)*2 - sqrt(128))**2) + (sqrt(216)\/(sqrt(9)*1))\/((sqrt(12) + 2*sqrt(12))*3) + -1.\nAnswer: -2689 - 287*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -781*j**2 - 326*j - 325. Give s(-1).\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 659 + 1121 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1182 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 1\/21*b**6 - 1\/147*b**7 + 5\/21*b**4 + 1\/7*b**2 - 1\/7*b**5 + 0 - 5\/21*b**3 - 2*b. Factor l(r).\nAnswer: -2*(r - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvpqyyypjyppyev. What is prob of picking 1 p, 1 q, and 1 e?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-64)*-4 + 2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, e: 5, l: 4, t: 1, a: 5}. Give prob of sequence la.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44355.5 + -2.1.\nAnswer: -44357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*114\/48 + 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (13 + (10 - 16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 29580 - 10410 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222123112 - -123?\nAnswer: -222122434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 2543271539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*z - 317 - 1960 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*j + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 13) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.07 + -0.07. Let g = -6196 - -6195. Which is the second smallest value? (a) i (b) g (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**3\/j))**(-8\/5)\/((j**(-10)*j)\/j**(-2\/3)) assuming j is positive.\nAnswer: j**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/2 - 3\/4. Let q = 25 + -27. Let o be (1 + q)*(-4 - -4). Which is greater: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28990000 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10906, 1, -0.5?\nAnswer: -10906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = -24*p - 88 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223020013100 (base 4) to base 14.\nAnswer: -17040a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*g - 134*g + 103*g + 546. Find j such that -59319\/4 - 4563\/4*j - 1\/4*j**g - 117\/4*j**2 = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256.68 + -284. Let y = -27 - v. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 232 = -h - 234, 2*n - 2*h - 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/3)\/(1\/(-24)). Suppose -2*x - 5*z = -0*z - 32, h = 4*x + 2*z. Suppose -v = -2*v + x. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/80 - 13*o**5\/80 - 43*o**4\/32 - 9*o**3\/4 - 2*o**2 + 89. Factor b(k).\nAnswer: 3*(k - 9)*(k + 2)*(2*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 13. Let b = 5 - 11. Let z(d) = -13*d - 27. Let v(r) = b*z(r) + 13*t(r). What is the derivative of v(w) wrt w?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200 + -200.4. Which is the closest to 1? (a) -1 (b) 3\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 944 + 50. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2876 + 28713\/10. Let a = -11507\/14 - -823. What is the common denominator of k and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1440 and 49\/4900860?\nAnswer: 39206880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l + 35*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100083 or -100084?\nAnswer: -100084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 12*p - 123. Let u(r) be the second derivative of 2\/5*r**5 - 12*r + 0 + 0*r**2 + 7\/3*r**3 + 0*r**p. What is the second derivative of u(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -15.829.\nAnswer: -18.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32553 (base 6) to base 14.\nAnswer: 191b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206975?\nAnswer: 5, 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -725660 - -4?\nAnswer: -725657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3520 + -3604. Suppose -x - 274 + 106 = 0. Let a = d - x. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -1\/2*u**3 + 3\/2*u**2 - 3*u + 0. List the prime factors of k(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -20313173.\nAnswer: -20313206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/12 - 415*m**4\/12 - 34445*m**3\/6 - 2*m**2 - 3*m. Determine j, given that g(j) = 0.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 2*l**3 - 5*l**3 + 2*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, 9947, 3\/4 in decreasing order.\nAnswer: 9947, 3\/4, 3\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170660 by -5.\nAnswer: -34132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470729 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 5) to base 8.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/2 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115\/2217 + -170107\/1099632. Find the common denominator of 51\/62 and p.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.226 and 229575.\nAnswer: -51883.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from sbbbbboobbvbb.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3094113397 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*y - 13, 0 = -24*t + 23*t + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-7 - -14) + -5). Solve 3*b + r - 10 = v, -5*b - 5*r + 4 + 16 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(9\/7))*i)\/i**(7\/8)*i**17*(i*i**(-19))\/i)**(-33) assuming i is positive.\nAnswer: i**(-759\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -86, -130, -174?\n\"Answer: -44*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-620400)\/(-2225))\/141 - (2 - 0)?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*a - 100 = 55, 0 = -2*o - 4*a + 50. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*k**2 - 3\/4*k**3 + 1\/2*k + 0 - 1\/4*k**4 + 1\/4*k**5.\nAnswer: k*(k - 2)*(k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 8, 0, -69 in increasing order.\nAnswer: -69, -2, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-98)\/(-8) - 7\/28. Suppose 0 = -4*q + 9*q. Solve q = 5*z - u + 37 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 - 334*k - 4686. Determine d(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + (-3*(sqrt(891) - sqrt(891)*1))**2 + sqrt(891) + (sqrt(891)*-3)**2 + 1)*-1 + 0)*-1.\nAnswer: 18*sqrt(11) + 8020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-196 + 65 - 436 + 180 - 1073)*(-2*t + t + 3*t).\nAnswer: -2920*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33\/2 + 16. Let p = -1 - 1. Let h = -1 + 0. What is the nearest to v in p, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346 + -490. What is the nearest to -1 in 0.1, 4, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*m - 144 = 86*m. Let t(f) = -3*f - 2*f + 4*f. What is t(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 43. Let q(p) = p - 165. Let s(w) = -w + 310. Let d(u) = 7*q(u) + 4*s(u). Calculate -3*d(y) - 5*j(y).\nAnswer: y - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) 78 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 318*d**2 + 49*d - 100. What is s(1)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - (-7 - -3) - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 31*p - 188 = 27*p - 144, 2*p + 104 = 16*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 160889356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 64 - 165 + 102. Let b(v) be the second derivative of -v**4\/12 - v**3 + v**2\/2 + v. Let d(z) be the first derivative of b(z). Give d(t) + 6*n(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65.09 + 1.09. Let l = w - -113. Let b = l + -53.6. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from occccccoc?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57814 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + -2 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.700098 micrograms to nanograms.\nAnswer: 5700.098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8\/p*p)\/(p**29\/p*p)*(p*(p\/(p\/p**(-25)))\/p)\/(p\/(p*p\/p**(3\/10)*p*p)))**14 assuming p is positive.\nAnswer: p**(-3031\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -71*q + 1210. Does 4 divide c(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/8*(-247 + 3). Suppose -193 = -s + v, -s + 0*v + y = 4*v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135130023 divided by -279.\nAnswer: 484337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.607204442 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32879124.\nAnswer: 2, 3, 913309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1665)\/4440*16\/(-36).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8836.574 rounded to the nearest 100?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 4. Let l be y(3). Let g(h) = -l*h - h**2 + 3 + h**3 + 0*h - 2*h**3 + 3*h**2. Determine g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 13) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/774)\/(((-35420)\/1386)\/115).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -631 + 625. What is the fourth biggest value in -0.4, 3\/2, h, 14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 8 - z - 9*z + 2*z**2 - 3*z. Let f = -13 + 21. Calculate the remainder when w(f) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73, 83, 99, 127, 173?\n\"Answer: z**3 - 3*z**2 + 12*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*b = -4, 0*p - 3*p - 4*b = 8. Let f be (-4)\/3*18\/p. Suppose s + 35 = f*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 0, 2*w + 20 = -3*u + 3*w. Let f = 3 + -1. Suppose q + 12 = -f*q. Which is the biggest value? (a) q (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8b65 - a9c?\nAnswer: -9601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)*156\/(-13) - 8\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*a**3*i**3 + 262*a**2*i**3 - 2*a*i**3 - 2*a*i + 23*i**3 + 667*i**2 wrt a.\nAnswer: -1056*a*i**3 + 524*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z = 70*z + 5*n - 28, 14*z - n - 48 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, b: 1, k: 3, u: 9, e: 2, y: 2}. What is prob of sequence kyeb?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.23 - 8. Let r = 0.03 - q. Do 1\/4 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((54\/5)\/6)\/((-2237)\/(-111850))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 145\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/2 (b) -12.1 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2717 * 0.3\nAnswer: -0.08151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(95)*-1)\/(sqrt(50)\/(sqrt(10) + (sqrt(360) - sqrt(10)))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176960 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-45)\/(360\/104)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 635 divided by -127\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -1.468, 0.5, 243?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from olbyqqoytoqb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36789 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-2*(-1)\/52?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 11:45 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -15.9\nAnswer: 6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44849 and 1197.\nAnswer: 53684253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2 + 2469*f + 575*f.\nAnswer: 3044*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q - 48. Suppose -2*d = d - 30. What is the smallest common multiple of i(-10) and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90194333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, 0.09136243, 5?\nAnswer: 0.09136243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = y - 5*a, 6*y = 2*y + a - 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31065, -31967, -33487, -35625, -38381, -41755?\n\"Answer: -309*t**2 + 25*t - 30781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -19)\/((-21)\/(-14)). Let u be (w\/30)\/((-1)\/45). Let o be (-92)\/(-4) + 1*(-6 - -1). Calculate the greatest common factor of u and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 67 = 21*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-52)\/88)\/((-1)\/2) and ((-2)\/3)\/(14\/99)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - i - 1. Let d = 8 + -4. Let y = d - 5. Is v(y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/1763036 and -81\/20?\nAnswer: 8815180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 47, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14784, -14795, -14820, -14865, -14936, -15039?\nAnswer: -15180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - 24. Let x be m(5). Is 3\/(-7) - x*3790\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llfp when four letters picked without replacement from fpxlpzgl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -694, -1225, -1760, -2299, -2842, -3389?\nAnswer: -3940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 533*h - 2129. What is o(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 10 = v. Suppose -r = -v*r - 10, 5*g + 40 = -5*r. Let c(y) = -y**3 - 3*y**2 - y + 1. List the prime factors of c(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*q + 55, 2*q - 2*f - 98 + 92 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 2*o + 21 = 23*n, 0 = -5*n + 2*o - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5086 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/52)\/((-900)\/4680).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 25 + 23*u + 13*u**2 - 174*u**3 + 92*u**3 - 15*u + 84*u**3. Determine y(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, m: 9}. What is prob of picking 1 m and 1 z?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/4)\/((-2)\/8). Let j = w - -12. Suppose 25 = j*q + 7. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -q - 5*o, 2*q + 225 = 5*q - 3*o. What is the highest common divisor of 546 and q?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -666662\nAnswer: 2\/333331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from vgvbvgvgv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-215)\/60 - (-3)\/12. Let q = -53\/15 - g. Let j = 0.1 + 0.1. What is the third biggest value in -11, q, j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o**(-4))\/(o**(-6)\/(o\/((o*o*o*o*o**(4\/5)*o*o*o)\/o)))*o**(2\/17)*o**(-7)*o*(o\/o**1)\/o*o*o**2 assuming o is positive.\nAnswer: o**(-313\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**2*l*r**2 - 543622*c**2*r**2 - 8205*l*r**2 wrt l.\nAnswer: -4*c**2*r**2 - 8205*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 158687214?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f*f*f**(3\/11)\/f*f)**(-17)\/((f**(2\/11))**(-20))**12 assuming f is positive.\nAnswer: f**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**2*m*m)*m**8*m)\/((m*m**(-6))\/((m*m**1\/m*m)\/m*m)) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2 - 2)*(-2*f**2 + 2*f**3 + 2*f**2) + 2*f**2 - 2*f**2 - 4*f**4 - 4 + 4 - f**4 + (-7*f**2 + f**2 + 0*f**2)*(-2*f**2 + 4*f**2 + 1 + 0).\nAnswer: -19*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12395 = y + 3*c, 3*c = 3. Let d = -2014 + y. Suppose -5*p = -d + 279. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 50. Let m = 0 + g. Let q = m - 0. Which is the nearest to 1? (a) -0.1 (b) q (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 2*w = 5*r + 28, 4*r - 16 = w. Put 1, 3\/7, -0.5, r in decreasing order.\nAnswer: r, 1, 3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241 (base 11) to base 2.\nAnswer: -100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x. Suppose -5*r + 20 = -2*y + 14, -3*y - 5*r + 16 = 0. Let w(n) be the second derivative of 0*n**2 + 0 - 1\/2*n**3 - y*n. Give w(t(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*q**2 + 4 + 23 - 71*q**2 - 15 - q**3 + 3*q**3 to s*q**3 + z + c*q**2 + k*q and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 1:24 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(1\/2)\/(p*p**(-2))**44)**(-3\/28) assuming p is positive.\nAnswer: p**(-261\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617465952?\nAnswer: 2, 3, 19, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44539411?\nAnswer: 7, 1163, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.282 + -8.282. What is the nearest to j in -5, 6\/11, -0.5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = m - 4*v, 5*m + 2*v + 0*v = 82. Suppose m = 6*r - 6. Let k = 4049\/19 + -213. Sort r, k, -2, -3 in decreasing order.\nAnswer: r, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29892296729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*u - 390*u + 129*u + 126*u - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 13) in base 6?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 24*b - 68*b + 14*b to g*b + t and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -23*c + 18*c + 3*p, 0 = 3*c + 3*p + 48 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -57. Let b = -29 - x. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64.2 + -383.2. Let n = 314 + l. Which is the closest to 1? (a) 2\/19 (b) n (c) 10 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 9, -395, 1, -7, -5, 2 in decreasing order.\nAnswer: 15, 9, 2, 1, -5, -7, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 + 2*t + 1. Determine k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-440 - 355 + 182)*(3 + 3 - 5)*(0*i**2 - 3*i**2 + i**2).\nAnswer: 1226*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 9*i**2 - 9*i + 2. Determine n(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 14 + (-1 - (4 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.163 + -0.063. What is the nearest to 1\/4 in q, 3\/13, -4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/114)\/((-10060)\/(-60360))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 3886422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) + -3*sqrt(120)\/sqrt(2))\/(sqrt(72)\/(sqrt(18)\/sqrt(3))))**2 - (sqrt(60)\/((1*sqrt(84))\/sqrt(7)) + -1))*-4.\nAnswer: -84 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -226, -204, -182, -160, -138?\n\"Answer: 22*i - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.75 (b) -3 (c) -0.043 (d) 106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -7*s + 60. Suppose s = f - 76. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 5*l**3 - 4*l**3)*(-2*l - 3*l + 2*l) + (-2*l + 2*l - 5*l**2)*(3 - 3 - 3*l**2) + 2*l**4 + 0*l**4 + 0*l**4.\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -211*b + 7162. Calculate h(34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -49.1369 = 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87315, 87304, 87285, 87258?\nAnswer: 87223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394*a**2 + 1392*a**2 - 2761*a**2 + 2 - 2.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118334243 + 0?\nAnswer: 118334243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/8))**(-11)*y**37\/y**(-7\/3) assuming y is positive.\nAnswer: y**(1109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12915628951.99999215 - 12915628499. Let r = o - 453. Round r to 7 decimal places.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 5, 10, 17, 26, 37, 50?\n\"Answer: n**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*a = -1, -5*x - 4*a + 5 = a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(56\/36))\/((1\/2)\/(1288\/(-2254)))?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 minus -953?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107957039.\nAnswer: 107957039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 380 by -5.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/3 - -5\/6. What is the nearest to c in -0.5, 3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - y = -2, 4*y + 36 = -4*r + y. Let w be ((-132)\/110)\/(2\/(-15)). Let m be (3\/(-3))\/(w\/(-27)). Sort r, -1, m in ascending order.\nAnswer: r, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34476?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 7:00 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5 = 4*w, -9*w - 2 = -2*d - 11*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4845, -32756, -103783, -237978, -455393, -776080, -1220091, -1807478?\n\"Answer: -3342*r**3 - 1506*r**2 + r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -463 at most as big as -463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 1, -3*l + 58*c = 53*c + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.197 and 10.\nAnswer: 10.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-2 - 116\/(-30)). Let o be (12 - 13)*(-1)\/1. Do m and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16161619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3678?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*r + 2 = -q, 0 = -3*q + 4*r + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -26*q**3 - 5*q - 7. Let d be u(-2). Suppose 2*i - 439 = -d. Calculate the remainder when i is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (134514\/12879)\/((-4)\/36*-4)\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -43. Let u = z + -7. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/4)*o)**(2\/47))**(-47) assuming o is positive.\nAnswer: o**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 2\/13677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {z: 2, s: 1, t: 2, v: 1, r: 1, u: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f = 16*f + 17*f - 76512. What are the prime factors of f?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325145, -325127, -325101, -325073, -325049, -325035?\nAnswer: -325037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-30) - 0\/1. Let h = 13.86 + -14.16. What is the nearest to 1\/2 in b, h, 5\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 17*d**2\/3 - 18*d + 16\/3.\nAnswer: (d - 2)*(d + 8)*(3*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*i**4 + 1209*i**3 - 809*i**2\/3 + 15*i.\nAnswer: i*(i + 45)*(9*i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 - 6*q**3 - 65882616*q + 65882616*q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218797597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 121431821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 7*r + 4. Let k be u(7). Let i(p) = -p**3 + 3*p**2 + 6*p - 4. Let h be i(k). Suppose -83 = -3*t - c, -3*t + h*c = -t - 60. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 12 = 0. Suppose -q*d - 5 = -6*d - y, d = -2*y + 10. Suppose 2*v = 2*r + 4, -5*v + 4*r = -3 - 4. Put -2, d, v, 2 in decreasing order.\nAnswer: 2, d, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 6*t - 1. Let s be r(5). What is the tens digit of (s\/6)\/((-4)\/(-114))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33666.4232 rounded to the nearest integer?\nAnswer: 33666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8532)\/(-80))\/9 + (-57 - -50) + 4\/10.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -86497 times -0.5\nAnswer: 43248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3)*1*-5).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46435, 92872, 139319, 185782, 232267?\n\"Answer: z**3 - z**2 + 46433*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 - 75888*n\/5 - 359936784\/5.\nAnswer: -4*(n + 9486)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) + (-176)\/(-18). Suppose 0 = -2*k - 3*k, -5*x - 10 = 4*k. Let i be 2 - 25\/x - 14\/(-28). Solve -5*r = o + i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 4*c**2 - c**2)*(1 - 1 - 2) + 0*c**2 + 3*c**2 + 0*c**2 - 8*c + 17*c - 3*c + 4*c**2.\nAnswer: 9*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*h - 7*h. Suppose 1 = 3*z - h. What is the second derivative of -z*x**5 + 11*x**5 - 14*x + 9*x wrt x?\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/609 + (-290)\/(-1750)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -369*j**4\/4 + 39*j**2 - 223. What is the second derivative of b(q) wrt q?\nAnswer: -2214*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, h: 2, o: 5, n: 9}. What is prob of picking 1 h and 2 c?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -139, 0.3, 15\/11, 0.01?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 13. Let g be z(-6). Let p = 12 - 7. Let n = 0.1 + -0.2. Which is the nearest to n? (a) p (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56, -117, -180, -245?\n\"Answer: -b**2 - 58*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -23374?\nAnswer: -1\/23374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 256 in -7, -0.286, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 20*t**2 + 10*t - 2. Calculate y(2).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3324*h**2 - 3084680*h + 7424.\nAnswer: 4*(h - 928)*(831*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4000 and 1559200.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16215071 + 5.\nAnswer: -16215066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 - 3*b**2 + 7*b - 7. Let y(d) = -2*d**3 - 2*d**2 + 3*d - 3. Let c = -3052 - -3045. Give c*y(w) + 3*z(w).\nAnswer: 2*w**3 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 5*i - 32, 4*c = -5*i - 4. Suppose c*l = -0*l + 4*m + 1188, -3*l + 915 = 3*m. Calculate the highest common factor of l and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/6 + (-26 - -30))*1\/3. What is the fourth smallest value in 96, -7, -2\/7, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203232 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -10. Suppose 3*p + 3 + g = 0, 0 = -5*y + 3*p + 1581. What are the prime factors of 4\/6*y\/6?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2 + 2284113*x - 2284116 = 0 for x.\nAnswer: -761372, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -1)\/(17 + -15). Solve 0 = -i*m - c + 5 + 12, m + c = 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -959+-15962768\nAnswer: -15963727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -10.7, -12 in descending order.\nAnswer: -0.2, -10.7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4150 = -2*o. What is o rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/6)\/d)\/(d**2*d))**5)**(1\/55) assuming d is positive.\nAnswer: d**(-23\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by -3?\nAnswer: -157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4686311 is divided by 46?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -439, -458, -489, -532, -587, -654, -733?\n\"Answer: -6*c**2 - c - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + -6 - (-89 - -9 - (13 - 91)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*m - 18 = -2*q + 546*m, -3*q + 34 = 4*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1374 + -1379. Which is the nearest to -1\/3? (a) x (b) -4 (c) -43\/6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10039360 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t + 142 + t**2 - 328 + 177 - 8*t**3 to z + q*t + k*t**3 + l*t**2 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:34 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/49 - (-4523)\/7. What is the greatest common factor of j and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 6\/6211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39594, -39601, -39606, -39609?\nAnswer: -39610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1920, -3\/7, 2\/13, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 85, 121, 195, 319, 505?\n\"Answer: 2*a**3 + 7*a**2 + a + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 10 + 7\/2*j**2 + 0*j. Let h(l) be the second derivative of -l**4\/6 - 2*l. Give v(h(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 14*w + 3708 = 0. Let h be 34\/51 + w\/6. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03476 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4022 is divided by 2008.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 128830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1333228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = -1. Suppose -792 = -k*r - 2*r. Suppose 29*n - 26*n - 54 = 0. What is the greatest common factor of n and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 30580 = -5*m + 370563. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 232\/3*v**2 - 26912\/3*v + 3121792\/9 - 2\/9*v**3.\nAnswer: -2*(v - 116)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, 2\/7, 2, 5, -188, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 9. Let s be d(-3). Let c(l) be the second derivative of 1\/15*l**3 + s*l + 0*l**2 + 1\/30*l**4 + 0. Find k, given that c(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*s + 52320 = -9*s + 90*s. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 71*n + 332. Calculate m(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**3*v**3 - 3*f**3*v**2 + f**2*n**3*v**2 + 4*f**2*n**3*v + f**2*n + 25*n**3*v**3 wrt v.\nAnswer: -24*f**3 + 150*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 10:17 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**4 + 5*p**2 - 5*p - 3. Let d(v) = 0 + 5 + 8*v - 8*v**4 - 6*v**4 - 8*v**2 - 1. Let r(j) = 5*d(j) + 8*x(j). Differentiate r(q) wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -15 - -17) + -41 + 17 - (-1 - 149).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e + -1506?\nAnswer: -14b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 43941.3nm?\nAnswer: 43.9413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-330))\/12*((-49)\/70)\/(-7)?\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 11*a - 14 = 6*a, -3*a + 14 = 4*g. Let r(d) be the first derivative of -4*d + 4\/3*d**3 + 5 + 0*d**g. Find z such that r(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37\/74 + 65259\/(-6)*-1?\nAnswer: 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146014965?\nAnswer: 5, 59, 149, 48823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -139765.258 and 1246.\nAnswer: -138519.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*f + 7, 2*y = 4*f + 3*y. Let z(g) = -6*g**3 + 4*g**2 - 4*g. Let j = -251 + 247. Let p(n) = n**3 - n**2 + n. What is f*z(x) + j*p(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = 0, 0 = -3*y - 0*y + b + 22. Suppose -l + 0*v + 5*v + 8 = 0, 0 = 4*l + 4*v - y. Solve 5*q = c - 22, 0 = q + l*c - 1 - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.45339 - -37.49. Round h to three decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**5\/5 + 56*u**3\/3 + u**2 + 27*u + 6. Find the second derivative of z(c) wrt c.\nAnswer: -12*c**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -390*a**2 + 120*a. Let g(i) = 2*i. Give 60*g(t) - p(t).\nAnswer: 390*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35213286.\nAnswer: 2, 3, 113, 167, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 17. Let r = -5 - -10. Let c be (-61)\/(-183)*1*12. Solve -r*a = p + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - -32. Let c be (-42)\/12*t\/(-21). Suppose -3*s = 2*v - 31, -2*s + v = -3*s + c. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjdtddjobbosob. Give prob of sequence oj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, j: 3, y: 1}. Give prob of sequence vy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.65 and -2.17.\nAnswer: -16.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -265? (a) 1\/3 (b) -1 (c) 0.06 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 77, 98, 137, 200, 293, 422?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + -27064\nAnswer: -27063.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r - 30*r**3 - 1 + 3 + 31*r**3 - 8*r**2 - 4. Let h be i(7). Is -31\/3 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -405 or -406?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(2*4\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 25*q**2 - 13*q + 7. Let r be o(-3). Which is smaller: r or 272?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (312\/(-18) + 4)*48\/(-2). Let s be (5\/2 - 1)\/((-60)\/b). Is (-2)\/s - 21548\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9340201 is divided by 790?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10373 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219331, -438671, -658011, -877351, -1096691, -1316031?\nAnswer: -1535371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4*n - 16, 16786*n - 16783*n + 30 = 6*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -12*v - 4. Let z be o(-7). Let g = 152 - z. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/17)*n**(18\/5)\/n assuming n is positive.\nAnswer: n**(236\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**2 - 9*h**2 + 8*h**2. Let u(d) = d. Calculate q(u(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0 + 0*v - 7*v**2 + 1\/8*v**4 - 1\/3*v**3. Suppose -4*o + 4 - 18 = -u, -o - 3 = 0. What is k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -1 (b) -35 (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 5\/42*g**8 + 0*g**4 + 0 + 0*g**7 + 0*g**3 + 0*g**6 - 7\/15*g**5 + 0*g - 105*g**2. What is the third derivative of m(r) wrt r?\nAnswer: 2400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + -2.5. Let u = q + -1. Let f = -1.8 - u. What is the smallest value in 3\/4, 1\/7, f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -75281.009 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 8)*(-2)\/12. Which is the closest to q? (a) 0.2 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 4*o + 5. Let z be 2*1 - (3 + 11). Let k be 4*((-33)\/z + -2). Suppose -4 - 8 = -k*v. What is b(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 16 = -159 - 225 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 2.93 (c) -0.015 (d) 24\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4020 and 18.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**4\/24 - f**3 - f**2. Let m be t(-8). Let r(h) = 2*h + m - 2. Let o(c) = -c**2. What is r(o(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.369033 rounded to zero dps?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51546710063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81248 is divided by 4502?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(187) - -2*sqrt(187)*1))\/(-5*sqrt(891)*-2).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 6 + 26*k + 0*k**3 - 1\/4*k**4 + 0*k**2. Let c(y) = -57*y**2. Calculate c(b(i)).\nAnswer: -513*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 - 19*h**2 + 108*h + 33. Determine u(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636444, 636442, 636440, 636438?\nAnswer: 636436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19446 + 350173\/18. Calculate the common denominator of (-102)\/(-4) - (-3 - -6) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -8, -3 in ascending order.\nAnswer: -8, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 917*o = -922*o - 34, -3*f + 5*o = 8 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1\/103, 9238, 2\/3, -5, 3?\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9590 + 136*u + 9590)*(-9 + 28 - 10 + (2 - 1 - 2)*(2 - 2 + 1) - 2 + 5 - 1) + u + 3 - 3.\nAnswer: 1361*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/7))**(-2\/59)*(u**0)**0 assuming u is positive.\nAnswer: u**(-18\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7884.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Calculate j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4645*u - 4646*u - 49*k = -10 + 43, 3*u + 99 = k for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - 13. Let y = -415 - -411. Give z(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 12546 = 2400. Let h = -2229\/4 + t. Find the common denominator of h and 13\/374.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138\/(-23))\/((15\/(-4))\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12595 is divided by 1928?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/5008839?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*k**3 - 1822 + 1822 + (2*k + k + 2*k)*((5 - 4 + 1)*(2*k**2 + 2*k**2 - 2*k**2) + k - 4*k**2 + 2*k**2 + 0*k**2).\nAnswer: 45*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 540\/320243?\nAnswer: 540\/320243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*-5*sqrt(2048) + sqrt(64)\/(sqrt(2) + -4*sqrt(2))*-3))**2.\nAnswer: 3359232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lec when three letters picked without replacement from eceel?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -28, -63, -132, -247?\n\"Answer: -2*k**3 + k**2 - 2*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -24 - (3 - 2\/2). Let l = 300 - 73. Let d = l + o. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 3 + 5 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 3*l - 8*l - 6*l to o + k*l and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**4 - 3*c**3*y - 4*c**3 - 139*c**2 + 40750*c*y + 86*c wrt c?\nAnswer: 48*c**2 - 18*c*y - 24*c - 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 445054.2 centuries?\nAnswer: 44505.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18258.728 times -0.5\nAnswer: 9129.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2 - 4\/8 - -4. Let v be (-26)\/k + ((-8)\/(-3))\/2. Let c = -2 + 1. Is v > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a - 75. Let n = a - 24. What are the prime factors of (-6)\/n - 34\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61197 is divided by 306?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**6\/120 - v**5\/15 + v**4\/4 - 7*v**3\/6 - 269*v**2. What is u(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggogggogowggggowm. Give prob of picking 1 m and 1 w.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**5 + 133*q**4 - 8*q**3 - 1055771*q?\nAnswer: -100*q**3 + 1596*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 604501, 604507, 604515, 604525, 604537, 604551, 604567?\n\"Answer: i**2 + 3*i + 604497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.43 and -0.3346296.\nAnswer: -0.7646296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 2*k**2 + 0*k**2 + (2 - 2 + k)*(k - k + k) + 2*k**2 + 2 + 2*k + 0 + 0*k**2.\nAnswer: 6*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5179 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5522, 11036, 16538, 22022, 27482?\nAnswer: 32912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12338578 is divided by 85?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322118*v**4 - v**3 + 320074*v**2 wrt v?\nAnswer: -7730832*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133910 + 54367511\/406. Calculate the common denominator of -115\/98 and m.\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 0\/(-3) - -5. Let f = 7 - w. Which is smaller: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*h + 55*h - 37*h + 495 for h.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 52*c = 368 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/11, 4, 0.3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/3 + 128*d**4\/3 - 2086*d**3\/3 + 2524*d**2 - 1872*d = 0. What is d?\nAnswer: -78, 0, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 728.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r + r - r + (1 - 2 + 0)*(-4*r + 3*r - 6*r) - 720 + 720 + 90*r.\nAnswer: 100*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let m(t) = -t**2 - 12*t + 14. Let y(u) = -b(u) + m(u). Let o be y(-12). Is (23\/3)\/(o\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1)\/o)\/o)**13*(o\/o**(1\/2))**4 assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4163147 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5*k**2 - k + 7. Let p(d) = d**3 - 3*d**2 - 45. Let g be p(5). Give b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 21\/(-2)*(-164)\/246?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14201 + 103?\nAnswer: 14304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3.8 (c) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + 3 + (-42 - -44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b**2 - 1016*b + 2052. Let u(q) = -39*q**2 - 3049*q + 6155. Let i(f) = 11*m(f) - 4*u(f). Solve i(l) = 0 for l.\nAnswer: -512, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2, -b + 4 = -3*m + 2*m. Let q be 3 + m + (-18)\/14. Which is smaller: q or 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/3 and 81\/4106?\nAnswer: 12318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 3*h + 3*h**3 - h**3 + (-1 + h - 3*h + 0*h)*(66*h**2 - 50*h**2 + 76*h**2) - h**3 + 2*h**3 - 2*h**3 + (2*h**3 - h**3 - 2*h**3)*(-2 + 1 + 3).\nAnswer: -185*h**3 - 92*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 17*z**2 - 9*z**2 + 164*z**3 - 1394*z**3.\nAnswer: -1230*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmsmmsmsm.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - y**2 - 2*y + 1. Let i be x(1). Suppose i = 3*t + 13 - 1. Suppose 0 = -6*a + 3*a - 3. Sort t, -5, a in decreasing order.\nAnswer: a, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let i(r) be the first derivative of 13*r**4\/6 - 15*r - 7. Let l(o) be the first derivative of i(o). Determine a(l(h)).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14703, 28011, 41321, 54633, 67947, 81263?\n\"Answer: c**2 + 13305*c + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 2.7. Let h = -71828\/7 + 359119\/35. Which is the nearest to g? (a) 0.2 (b) 1 (c) -1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 7}. Give prob of sequence gmm.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -680, -731, -768, -791, -800?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16595828087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 24*c - 74. Let w be n(4). Let d(p) = p - 20. What is the units digit of d(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 137*a + 7 - 12 - 54*a - 30*a - 49*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65220630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2690 + 2692. Solve a*i - 19 = 2*w - 5, -w + 5*i - 23 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 4, -a - 2*b + 17 = 0. Suppose 5 = -5*f - a. Let c be 10\/(-4) + 2\/(-4). Sort f, -2, c in increasing order.\nAnswer: f, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 8390*a**2\/3 - 2894546*a\/3 - 460 = 0?\nAnswer: -2\/4195, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/549 + 3308\/3843. Let f = -167\/2 - -84. Which is the closest to -1? (a) 0.3 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + -4 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:16 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2312 divided by 4\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 83269\/4, 0.3, 2\/7, 4, 5?\nAnswer: 83269\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgeogzgerrgeegreeg. What is prob of sequence eeer?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 2*l. Suppose 44 = 3*q + 4*k, q + 3*q - l*k - 42 = 0. Suppose -q = -3*g + 4*j, -5*g + 9 = -2*g - 5*j. What is g rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274 + 471. Suppose 2*o - l = -83. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b (base 16) to base 6.\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 0*q**2 + 17*q + 12 - 14. Is 12 a factor of b(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 6. Let u be d(-1). Let v be (u*(-1)\/(-2))\/1. Solve v = -3*l + 3*o - 24, -5*l - o + 11 = 33 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7197 - 16667 = -794*r + 9586 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(12)\/sqrt(2))\/sqrt(2) - ((sqrt(105)\/sqrt(5))\/sqrt(7) - sqrt(3))).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/((-3)\/18). Let b be -3*1 - (i - 54*-1). Let a = b + 60. What is the greatest common factor of 12 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353268.\nAnswer: 2, 23, 25579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*d = -7*d + 24, 5*d - 28 = 3*x. Let o(j) be the second derivative of -1\/2*j**2 - 3\/2*j**3 - j + 0. Determine o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0.04, -2, 0.1 in ascending order.\nAnswer: -76, -2, 0.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -79 + (6 - -12) + (-21 - 0)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 3*v - 2. Let l(x) = -4*x**2 + x. Let b be l(1). What is a(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 12:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -172 and 1943.6166117.\nAnswer: 1771.6166117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2957436 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i**2 - 11*i - 3. Let p(z) = -25*z**2 + 21*z + 5. Determine 6*p(d) + 11*w(d).\nAnswer: 4*d**2 + 5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -6*s + 37. Is s at most as big as 33\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/14 + 4\/14. Suppose 0 = 3*k - 5*w + 10 - 126, -2*w = -5*k + 168. Suppose 7*i - k = f*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*-3 - (-38500)\/(-2040). Let v = z + -124\/17. Let c = -6337\/10 - -635. Calculate the common denominator of v and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 179*u - 126*u - 53. Suppose 0*f = f - 11. What is the greatest common divisor of u and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6451 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 837402 and 17242?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 5. Let x be s(-9). Let y = 4 - x. Suppose 6 = 3*d - y. Solve i + l = 1, -3*i - d*i = l + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620 by 10.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6865400874?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/40 + (-1)\/(-2). Let r = 60 - 55. Which is the second biggest value? (a) 0.2 (b) 2\/5 (c) r (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107828 and 31?\nAnswer: 3342668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56167 is divided by 185.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5069 + -5073. Let n = 1.6 - 1.67. Sort n, w, 5, 0.2.\nAnswer: w, n, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27162989 is divided by 1762.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-6))\/((-2)\/(-12)). Let v = -2 - l. Let q(h) = -1 + v - 2*h. Let m(y) = y**2. Give m(q(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**3\/6 + y**2\/2 - y. Let r(z) = z**3 - 3*z**2 + 6*z + 6. Suppose 10*f + 41 + 19 = 0. Calculate f*s(q) + r(q).\nAnswer: q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 376\/2820*5*-1. Let o = -1.5 - -1. Which is the nearest to -2? (a) x (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 12:37 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22095261\/1340 - 16489. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 + -1424673?\nAnswer: -1424617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1930*x + 4668*x - 3 + 3118*x. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5836 + 5824 - (-139 - -1).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 329 + -197. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from eqpncecqcet.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - (-4 + -2 + 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19008*z - 15 = 19013*z + 2*m, 2*m - 15 = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 25146460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, b: 3, q: 7}. Give prob of sequence qqq.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67235 - 20355. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21*j + 34. Let i be q(-3). Is (-879)\/(-6)*(-23 - i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2345 - -1188899\/18760. Let v = 60 - y. What is the common denominator of 77\/(-4) + (-1 - 0)*0 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 10 + 4 + -3 + -2. Solve -x*o = -5*o + 4*u, -3*o = -2*u - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.546631+108.3\nAnswer: 148.846631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 154728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 11*c + 14. Let m be b(-10). Solve x = -3*x - m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (8 - (-14 + (-8 - -44))) + 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1065 - -183. What are the prime factors of 6\/4 - u\/28?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 121*q**2 - 383*q + 3495. What is a(118)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + 1.1. Let v = -0.7 + n. Let k = v - 0. Put -1, k, 3\/5 in increasing order.\nAnswer: -1, k, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:50 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 6*v - 3*v + c, 4*v = 4*c + 76. What is the remainder when 82 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - 2*sqrt(539)) + -3)**2 + -1.\nAnswer: 42*sqrt(11) + 547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v - 24. Let u be g(9). Suppose 0 = -x + 42 - u. Let s(f) = f**3 - 4*f**2 + 2*f. Determine s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 1 - 16. Suppose -5*v = n*h - 195, h + 2*v = -h + 130. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-2)\/w))**(4\/19)*(w\/w**5)\/(w*w**5*w) assuming w is positive.\nAnswer: w**(-189\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i. Let g(m) = 3*m**3 + 4*m**2 + 6*m. What is g(y) - 4*t(y)?\nAnswer: 3*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 327 and 5794004?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 + (4 - 4) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i**2 + 2746 - 8*i + 2739 - 5475. What is m(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + 156*t**2 + 4*t + 261. What is z(-78)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 6265*h**2 - 3*h - h - 6248*h**2)*(4*h**3 + 4*h**2 - 4*h**2).\nAnswer: 68*h**5 - 16*h**4 - 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*v - 13*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*v + 40442, 2*x - 16970 = 3*v - 795. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212\/2 + (-2 - (2 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 + 8*n + 11. Let d be y(-1). What is the greatest common factor of 5067 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(132) + sqrt(132)*2 - sqrt(132)) - sqrt(132))\/sqrt(3))\/((sqrt(40) - (sqrt(4000) + sqrt(4000)*-1))\/sqrt(10)) + 3)**2.\nAnswer: 30*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 3630847901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 0.041.\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629640.5 + 9.\nAnswer: -629631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -73 + 0*z + 2\/5*z**5 - 12*z**2 + 0*z**3 + 0*z**4. What is the second derivative of p(j) wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 4*y**4\/3 + 41*y**3\/3 - 162*y**2 - 2*y. Find the first derivative of s(q) wrt q.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l - 4*l + 22*l**3 + 2*l - 2*l - 178*l**3 - 83*l**2 wrt l.\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 79*n**2 - 108*n - 1096. List the prime factors of b(-13).\nAnswer: 3, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 75 = 135. Solve -81*d - o = -80*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.27 - 0.83. Let z = a + 1.6. What is the biggest value in -7\/6, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1424*n - 10*n**2 + 2862*n - 1438*n.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/173 in -2\/7, -0.4, -1216, -1, -0.5, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -60 + 38 + 8 + 2 + -1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b = 422 - 80. Suppose 3*c + 5*a + 70 = 0, -8 - 12 = c + 5*a. What is the hundreds digit of b\/((-6)\/c*4\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 12 - 18. Suppose -b*s + 19 = 7. Let p = -45 - -44. Is s < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56502 divided by -146.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8 = 4*g, -6 = q - 4*g + g. Let p be (552\/207)\/(1 - 7\/(-3)). Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36155 + -440?\nAnswer: 35415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-3) + (8\/(-3))\/4. Let j be (f\/(-3))\/(2*7\/(-42)). Solve 3*q = j - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -y - 3*y - 244, 3*y + 173 = 2*f. Let v = y + 99. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 - -156. Let m = o - -688. What are the prime factors of m?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 2. Let s(a) = 5*a**2 - 18*a + 36. Let r(v) = -4*p(v) + s(v). Determine r(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.5 - -50. Let h = z - 28. Let b = 78 + -78. What is the nearest to 2 in -2, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 33*w = 12. Sort w, 34, 0 in ascending order.\nAnswer: 0, w, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-eight ninths of a day?\nAnswer: 10880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/10*(-40 + 0). Suppose 10*p - 69 + 9 = 0. What is the greatest common factor of b and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + t + 42, -101576 = 5*h - 2*t - 101647 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -3*q - 111, 25268*r - 25267*r = 3*q + 96 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p*p*p**(-1)*p*p))*p)**42)**(-3\/2)\/(p**(1\/5)*p**(-2\/37))**(-37) assuming p is positive.\nAnswer: p**(-918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 8. What is the remainder when u(6) is divided by ((-18)\/(-4))\/(51\/68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83223 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1748 (base 13) in base 3?\nAnswer: -11201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*h - 130 = 0, -2*y + 120 = y - 3*h. Suppose -y = -3*g + 187. Calculate the lowest common multiple of 3 and g.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1273, -1276, -1281, -1288, -1297, -1308?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619873929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5 = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 8:19 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7230 divided by -6.\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/5 - 18264*p**2\/5 - 5073408*p\/5 - 72161280.\nAnswer: -3*(p + 144)**2*(p + 5800)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 12*n - 6. Suppose n*q - 6 = 2. Let v(l) = l - 2. List the prime factors of v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-119)\/(-21) - (7 - 3). Which is the smallest value? (a) w (b) 11 (c) -2\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -28. Which is the nearest to 0.1? (a) -0.3 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 172086091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5828*0.4.\nAnswer: 2331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177\/2 + -90. Do 4 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(120\/8)\/(-45)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(272) - (sqrt(272) - -3*(sqrt(272) - (-3*sqrt(272) + sqrt(272)))**2)) + 3 + (sqrt(68) + -2)**2 + sqrt(68) + 1.\nAnswer: -6*sqrt(17) + 36796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*x**2 + 449*x**2 + 79*x**2 + (-x**2 + 0*x**2 - x**2)*(-1 - 3 + 2) - 4*x**2 + 0*x**2 + 5*x**2.\nAnswer: 452*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009192 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(-3*sqrt(968) - sqrt(968)))**2.\nAnswer: 19\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3250*j + 574*j - 1217*j.\nAnswer: -3893*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -51. Let j = q - 24. Suppose 7*t = j*t + 270. Calculate the highest common factor of 135 and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1725*r**2 + 1885*r**2 + 7 + 10 - 14 + r.\nAnswer: 160*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54668603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4696, -4216, -3410, -2278?\n\"Answer: 163*c**2 - 9*c - 4850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1583037 to three decimal places.\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.55349093 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7865 - 7856. Suppose 5*a - 43 = -18. Suppose a*n + 48 = 6*n. Calculate the remainder when n is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, 2, 2\/15, 2\/11 in decreasing order.\nAnswer: 4, 2, 2\/11, 2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-1)\/7 - 2580\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6729072593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*y - 477*y - 757*y - 361*y.\nAnswer: -1460*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5511*k**5*o + 9*k**2*o**3 - 362643*k*o**3 - o**3 wrt k.\nAnswer: 110220*k**3*o + 18*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -32. Suppose -n = 0, -3*n + f + 16 = 2*z. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + 1 + -1. Let b = 315\/4 - 80. Put b, a, 0.1 in descending order.\nAnswer: 0.1, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -84.26349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 + 5.23. Let m = p + -5. Let a = -80 - -402\/5. Is m <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 715*b = 712*b - 98, 30 = 2*s + 2*b for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13112 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13203 + 13209. What is the lowest common multiple of 1434 and k?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 0*h - 3*h)*(6 + 6 - 13).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0729 take away -1038.811?\nAnswer: 1038.7381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u + 2*u)*(-u + u + u + (-2 - 1 + 4)*(-3*u + 3*u + 2*u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**4\/3 + 1496*p**3\/3 + 51788*p**2 + 2896256*p\/3 + 14992384\/3 = 0.\nAnswer: -176, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:31 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 6, -2\/13, -1.2 in decreasing order.\nAnswer: 6, 4, 0, -2\/13, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 121 = 4*p, 2*z + 5*p - p = -82. Let a = -29 - z. Calculate the lowest common multiple of 4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1153069?\nAnswer: 5765345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -88. Suppose -64*x = -69*x + z. Let j(g) = g**2 - 7*g + 8. Let s be j(3). Sort s, x, -1, 4.\nAnswer: s, -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -8*g. Suppose 9 = u - g. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-92)\/(-23) + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -5*z + 4*h + 249, 5*h = -20. Let g = z + -168. Let y = g + 112. Calculate the remainder when y is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c + 54. Let u be i(8). What is the third derivative of -8*q**2 - 28*q**2 - 12*q**2 - u*q**3 - 10*q**3 wrt q?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1111011110011001001?\nAnswer: 1111011110011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -64377.03996 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 - 2*y**3 + 2*y**3 + (-239 + 151*y**2 + 239)*(4*y - 17*y + 2*y) to s + v*y**2 + d*y**3 + l*y and give d.\nAnswer: -1663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = 5*h + 226. Let s = h + 85. Let t = 0 + s. What is the highest common factor of t and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -13. Solve 4*w - 2*u = -8, -2 = 4*w - d*u + 4*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*x - 5, -x - 16 = -3*f + 4. Factor -150 + 135*t**2 + 13 - 86*t**3 + 2*t**4 - 43*t**3 - f*t**4 + 129*t + 5.\nAnswer: -3*(t - 1)**2*(t + 1)*(t + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 606 or 548?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkkkikkk. Give prob of sequence kii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97\/3 - -197\/6. Let i = 0.3 + -0.4. What is the smallest value in 1\/7, v, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21916 and 284908?\nAnswer: 284908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 41 - 41 - 2*m + 99.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 0*o - 4*o)*(-5 + 3 + 1) + 0*o + 5 - 2*o - 26 in the form h + z*o and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = -0*t. Suppose 0 = t*j + 40590 + 2360662. Let p = j + 985313. What is p rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-1860)\/50 + 11.\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47610, -47613, -47618, -47625, -47634, -47645?\n\"Answer: -b**2 - 47609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838438 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: Calculate the remainder when 247059 is divided by 82178.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 167*o**2 + 167*o**2 - 43*o**3)*(3*o**2 - 7*o**2 + 21*o**2).\nAnswer: -731*o**5 - 17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*y = 228*y + 687. Which is smaller: -242 or y?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-11 + (-4 - (0 + (13 - 11) + -7))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5820*v + 5777*v = 516 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -13299279\nAnswer: -2659855.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432994379?\nAnswer: 8237, 52567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-6)\/4 + 1). Let o = p + 5. Suppose 5*q = 9 + o. Solve 0 = -2*m + 3*m + q*k - 7, 4*m + 4*k - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40886228, 81772438, 122658648, 163544858?\nAnswer: 204431068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) - (-2*sqrt(143) + sqrt(143))) - sqrt(143))*-6*5)\/(2*(sqrt(11) + (sqrt(11) - sqrt(99)))*2).\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 894014821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626*h = -61*h - 23165. Solve y = -h + 38 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001003 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1. Let x(m) = -5*m - 1. Determine 3*i(y) + x(y).\nAnswer: -5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnavnhvghnhvv. What is prob of sequence nhv?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -2*y**6\/9 - 156*y**5 - 45630*y**4 - 7118280*y**3 - 624629070*y**2 - 29232640476*y - 1772. Factor k(s).\nAnswer: -4*(s + 117)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-41)\/14 - -1) + 2. Let v = 46479 - 46478.8. What is the third smallest value in v, t, -0.04?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.3 (c) -1\/4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82\/10 - 2\/10. Let d be -22*(k + 1 - 1). Let r = -99 - d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8010 - -8127. What is the nearest to -0.1 in -4, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -478b (base 13) to base 4\nAnswer: -2131212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3786\/2052 + 2\/(-6). Let k = y + -2\/171. Which is the second biggest value? (a) 1\/4 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 314514276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/3)\/4*(-15276)\/(-81472)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(85)*-1 - (-1*sqrt(85)*-4 + sqrt(85)))*5)\/(-2*sqrt(405) + (sqrt(245)*-1 - sqrt(245) - sqrt(245))).\nAnswer: 15*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -25.1. What is the fourth smallest value in -2\/7, j, -14\/11, -1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666124 + 85277?\nAnswer: 751401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15656575 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, b: 1, l: 1, c: 1, i: 3, r: 1}. Give prob of sequence ire.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 4. Suppose w*s = -2*a + 12, 3*s = -s + 5*a + 3. Suppose -t - s*t = -27. Calculate the remainder when 24 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 685 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i. Suppose -r + 3*r = i. Solve r = -5*t + 15 + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5 + 374330\/25. Let i = m + -15291. Let a = 19489\/60 + i. Calculate the common denominator of 17\/14 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 193912476 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1415, 1417, 1421, 1427, 1435, 1445, 1457?\nAnswer: 1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -3, -4\/49, -5, -0.1?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(2\/5)*s*s)\/(s**(-6)\/s))**(2\/35)\/((s*s\/(s**(7\/4)\/s)*s)\/s**(-2\/13))**(2\/25) assuming s is positive.\nAnswer: s**(2349\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 + -0.3.\nAnswer: -150.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104520 by -6.\nAnswer: 17420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/1 + (-55 - (11 - 59))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 40, 5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from czcczcczzccyzy?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 192*v + 24 = 191*v - 388*v, 12 = -3*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 + 75*q - 33. Give z(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -26*40\/(-256) - 1005\/48\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o + 17*o - 26*o - 30*o - 5*o.\nAnswer: -77*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 5 - -3 - -502999. What is q rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121001 + -11102?\nAnswer: 102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.636437s to minutes.\nAnswer: 0.12727395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 15*x + 216 = 0. Suppose -7*b + x = -36. Is (-6)\/b - 110\/(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -9227 = -9227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 28. Suppose 6*s - 5*s - i = 0. What is the remainder when 15 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 166 in -3\/4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 - 323 - 621 = 24*x for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183)\/76 + 24540\/155420.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:46 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 16\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120606 and -347.\nAnswer: 41850282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, 5, 10, -2.\nAnswer: -16, -2, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blbloboblbbolb. Give prob of sequence bo.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(2\/11)\/h)\/h)*h)\/h**(-4\/7))\/(h**(2\/7)*h**(-1\/6))*h**(-6)\/(h\/(h*h*h\/(h*h\/(h**6\/h))))*(h**(2\/3)\/h)**(-18) assuming h is positive.\nAnswer: h**(4283\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4949060 is divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6792.7 + -6794.7. Let w be (0 - 0)\/(2\/1). Which is the nearest to 1? (a) w (b) -0.8 (c) 3 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2696 - 10.2696. Let t(x) = x - 4. Let g be t(3). Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1837, 1839, 1841, 1843, 1845, 1847?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19503, -39022, -58555, -78102, -97663, -117238?\n\"Answer: -7*t**2 - 19498*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 - d**4\/12 + d**3\/3 + 15*d**2. Let c be 2\/(-6)*-111*-1*1. Let a = c - -41. What is i(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 70 = 3*z. Suppose u + 1 = z. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.09 - 2.09. Let w = 20.2 - 20. What is the closest to -1\/6 in 0, k, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/84 and 68\/201327.\nAnswer: 805308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 = 177938\/13975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 565 divided by 565\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (187 - (-339 - -556)) + 1 + 122.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 970.0168 + -970. What is k rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/16 + 55\/40. Let w be (222\/168 - s)*1*12. Is 5 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1576*w - 352862. What is l(-224)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1596\/(-24))\/19*240\/14.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 375 + -213. Suppose -4*n + k - 25 = -q, -5*k = 25. Suppose 52 = 2*t - z, 3*t - n = 2*t + 4*z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 482 + -678. Let v be (-56147)\/c*5\/(-2). Let b = v - -5084\/7. Find the common denominator of -11\/6 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from uhhzh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -634.\nAnswer: 17118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2266*w + 67647*w + 37000*w.\nAnswer: 106913*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109 = -w - 3544. Let a = -153602\/33 - w. What is the common denominator of a and -13\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 - 13*l**4\/24 + 13*l**3\/6 - 13962*l**2. Suppose -f = 4*f - 60. Determine d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -70, -115, -176, -259, -370?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 7*h**2 + 10*h + 12. Let w be b(-8). Let d = -2 - w. Solve 0 = 3*v - d*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -11 + (4 + -21 - 8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301*s - 867*s - 3823*s + 316*s - 3191*s to c*s + g and give c.\nAnswer: -7866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7409, 11565, 12467, 10115?\nAnswer: 4509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -108*q**3 + 12*q**2 - 87*q + 12. Let r(a) = -106*a**3 + 14*a**2 - 86*a + 14. Let i(v) = 7*l(v) - 6*r(v). Find the second derivative of i(j) wrt j.\nAnswer: -720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 1 + 1 + (-5*x + x + 5*x)*(37 + 40 - 108) - x + x + 2*x to o + l*x and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -303*b + 342*b - 390 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -3 + 1 + (2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 19*u**2 + 14*u - 14. Let p be y(20). Let w = p - 666. Solve 3*k + 12 = -w*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*w + 16. What is the tens digit of 18\/63 - (-570)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36006 divided by -17.\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 2*i**3 + 2*i**3 + (-3*i - i + 2*i)*(0*i**2 + 0*i**2 - 5*i**2).\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 6*v**2 - 3*v - 7. Let n be q(5). Calculate the common denominator of -1*19\/n - -1 and -39\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/13 + 1778*f**4\/13 + 12360*f**3\/13 + 10584*f**2\/13 = 0. What is f?\nAnswer: -882, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, -173, -2, 0, 5 in descending order.\nAnswer: 28, 5, 0, -2, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1344))\/(sqrt(28) - sqrt(448)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89690 - 54707. What are the prime factors of l?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 17 + 22 = 5*j, 5*m - 19 = -3*j. Let y(d) = 4*d**2 + 14*d - 18 - 19*d - 3 - 3*d**2. Let k be y(j). Solve 4 = 4*z - 2*f, k*f + 4 = 4*z - 2*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*o*p**4 - 2*o*p**2 - 620*o*p wrt p.\nAnswer: -864*o*p**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-25)*f**24)**(14\/9))**(2\/7) assuming f is positive.\nAnswer: f**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.58 - -0.58. Let t = 0.14 - 0.24. Suppose -5*j - 2 = 3. Which is the closest to f? (a) -3\/7 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -378766, -378752, -378726, -378688?\n\"Answer: 6*o**2 - 4*o - 378768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 331\/4. Put 0.09, b, 5, 2\/11 in decreasing order.\nAnswer: 5, 2\/11, 0.09, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205.9790141+0.041\nAnswer: 206.0200141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20984666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29 and 119\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-474)\/72)\/(-1*(-177)\/(-6)) and -41\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-260) + ((-27412)\/560 - -7).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + -931 + 921?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 5412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a factor of 1299254427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 26. Let s(a) = -a**3 + 6*a**2 + 4*a - 9. Let k be s(b). What is k rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11387 - -16971. Suppose -x = -15*z - z. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2. Let r(d) = -3245*d - 165. Let w(n) = -21904*n - 1110. Let o(s) = 74*r(s) - 11*w(s). What is o(z(g))?\nAnswer: -814*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1123, -8801, -29427, -69403, -135131, -233013, -369451, -550847?\n\"Answer: -1067*h**3 - 72*h**2 + 7*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {a: 3, h: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*v - 9*v + 5*v + 3*v - 4*v + 3*v + v + v - 4*v - 2*v - 3*v + 4*v + (-1 - 2 + 4)*(1 + 2*v - 1))*(-4 + 2*v + 4) as x + f*v + a*v**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 537*t + 198. Calculate z(-134).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23707580 divided by 65?\nAnswer: 364732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6) - 19*(-17)\/3876.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28718?\nAnswer: 2, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -26. Find the third derivative of 22 + 4*g**5 + g**2 - f*g**5 - 22 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779061452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 36*x**3 - 6*x + 6*x - x + 5*x to the form j*x**2 + p*x**3 + u*x + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -51866594 divided by -1994869\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 25740.393.\nAnswer: 25743.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/10)\/(12\/30). Suppose t*l - 7*l + 23 = 3*o, -44 = -4*l + 4*o. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*q = -18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**8\/280 + m**6\/90 - 2*m**3\/3 + 3*m. Let v(n) be the second derivative of l(n). What is the third derivative of v(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1402*p**3 + 4*p**2 - 3*p + 1. Let y(d) = -d**3 + 3*d**2 + d + 1. Let b(o) = s(o) + 3*y(o). Find the third derivative of b(f) wrt f.\nAnswer: -8430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 1. Let j(p) be the first derivative of p + 1. Let f(k) = j(k) - o(k). Let m(a) = -a. Suppose d = -0*d - 1. What is d*m(s) - f(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3\/3 + 43*d**2\/2 + 42*d + 992. Solve z(i) = 0.\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 292\/10 - (-1)\/(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -2 + (-195)\/(-201). Let v = 0.213 - 3.333. Let o = 3.22 + v. Is o < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24\/13*z**2 + 14\/13*z**3 - 8\/13*z = 0. Calculate z.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 10) in base 8?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24114317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (7 - -7) + -27 + 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60737.5 rounded to the nearest one thousand?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*t + 28, -3*t - 12 = -0. Let j = -5 - h. What is the third derivative of 3*v**3 - v**3 - j*v**3 + 6*v**2 wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29042*h - 29012*h + 2 + 58018*h to p*h + n and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*74078\nAnswer: -118524.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 185\/(-1)*(-15)\/35*119\/(-255)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q*x**5 + q*x**4 - 51671*q*x**2 + 3208*x**3 wrt x.\nAnswer: 60*q*x**2 + 24*q*x + 19248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6994 is divided by 2238?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + c + 468 = 0, 3 + 9 = 4*c. Suppose 153*d + 12 = t*d. Solve -d*n - 15 = -4*p, -2*n + 7 = -5*p + 17 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 11 = 3*n - 2*n, 4*n + k + 23 = 0. Let m be 143\/(-52) - (-1)\/(-4). Put m, n, 3 in increasing order.\nAnswer: n, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.114*0.06.\nAnswer: -4.92684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 878669997 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15272, 30519, 45766, 61013, 76260?\nAnswer: 91507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1059 = 25*v + 20*v - h, 3*h = -0*v - 2*v + 39 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2 = y + 2, -1536*y + 2 = 5*r - 1537*y + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -db81 + 4?\nAnswer: -db7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 462161122 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4672307 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*l**2*m**4 - 70111578*l**2 - 765825*m with respect to m.\nAnswer: 112*l**2*m**3 - 765825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = 22. Calculate the lowest common multiple of n and (2 + 4\/3)*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 1410240*y**3 + 2820468*y**2 + 1410232*y.\nAnswer: 4*y*(y + 1)**2*(y + 352558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -37*r**3 + 167*r + 4. Let i(j) = -37*j**3 + 167*j + 6. Let f(c) = 2*i(c) - 3*y(c). What is the second derivative of f(h) wrt h?\nAnswer: 222*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 58 (c) 0.28 (d) 0.2 (e) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4 - 375566*f**3 + 4882517*f**2 - 3755814*f - 9013896 = 0.\nAnswer: -375579, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 3:43 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-27) + (-21)\/27. Let a be o + 3 - 1 - (-32)\/32. What is the second derivative of -14*h + 22*h**2 - 7*h**2 + a*h - 11*h wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -158, -0.27, 0.1 in ascending order.\nAnswer: -158, -0.5, -0.27, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62203\/12 + -5172. Let x = -882\/5 - -82863\/470. Calculate the common denominator of x and w.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 2*o**2 + 3*o**2 - 5*o**2. Let t(k) = -13*k**2. Give t(m(y)).\nAnswer: -52*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 4. Let i be (2\/4)\/((-5)\/(-20)). Let y(d) = -d - 2 + 3 - i. Let v(l) = -h(l) + 4*y(l). Let x(j) = 3*j**2. Give x(v(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = -z - 4*g - 810, -g + 3 = 0. List the prime factors of (z\/3)\/((-36)\/162).\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34497104 a multiple of 1418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {b: 6, u: 1, a: 3, w: 4, y: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 437\/7 + -62. Let s = 3.88 + -27.88. Sort -1\/4, s, -5, a in increasing order.\nAnswer: s, -5, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67.7*-0.2\nAnswer: -13.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1304*k**2*p*u**2 + k**2*p*u - k**2 + k*p*u - 27*k*p - 2*p*u**2 + p wrt u?\nAnswer: 2608*k**2*p - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - n**2 - 2*n**2 + (4*n + 6 - 6)*(-3*n + 0*n + n) as v*n + m + r*n**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.331 - -2.331. Is 0.253 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 + 175\/30 + 2402\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 5*n**2 + 5*n - 6. Let q be b(-6). Suppose q = -3*a - 3 + 9. Suppose -o - 3 = -a*o. Calculate the remainder when 11 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p. Let o(h) = -h**3 + 7*h**2 + 10*h - 11. Calculate the remainder when o(8) is divided by i(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p + 0*p - 8*p)*(113*p - 1516 + 1516 + 75*p) to u*p**2 + g + z*p and give u.\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/9)*c**(1\/2) assuming c is positive.\nAnswer: c**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250202995 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1204, -2219, -3836, -6055, -8876, -12299, -16324?\n\"Answer: -301*p**2 - 112*p - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1161.4533858?\nAnswer: -1152.4533858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 2, v: 1, f: 1, e: 1}. Give prob of sequence fe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -8\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-7)\/(-49)*7*1*555 and 30.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -119 - -118.9. What is the biggest value in -9\/2, 0, -2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q. Let y be b(1). Suppose 13 = 7*g - 1. Suppose 2*s - g*z = 22, -y*s + z + 0*z = -29. Calculate the remainder when 17 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 5. Let p(k) = 2*k + 42. Let f be p(n). What is the third derivative of 10*b**2 + 11*b**f - 32*b**2 + 8*b**6 - 25*b**6 wrt b?\nAnswer: -2040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -417674 + 417670. Let o be 25\/57 - 1\/3. What is the nearest to -0.1 in -5, o, u, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26298 - -31069. What is the greatest common factor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -4*k**2 + 0 + 0*k + 1\/135*k**6 + 0*k**5 - 1\/108*k**4 + 0*k**3. Factor d(i).\nAnswer: 2*i*(2*i - 1)*(2*i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**6\/240 - 13*a**5\/160 + 92*a - 26. What is p in g(p) = 0?\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192948 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*d + 5, -3*y + y - 4*d + 4 = 0. Suppose 5*n = 3*o + 11985, n + y*o = -o + 2405. Round n to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, n: 1, o: 5, t: 8}. Give prob of picking 2 t.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 19 = -a - 4*a, 4*a = -5*u + 8. Solve 4*c + 3*q + 14 = 0, 24 = -5*c - 5*q + u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999996 is divided by 499668?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -128.99999975. What is t rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7554157\/168 at least as big as -44965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -2. What is the least common multiple of 4 and o*(-2 - -1) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -205.3\nAnswer: -20.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + r - 1. Let o(n) = 45*n**2 - 4*n + 4. Let f(c) = o(c) + 4*x(c). Let a(i) = 22*i. Let m(q) = 27*q. Let b(t) = 6*a(t) - 5*m(t). What is b(f(j))?\nAnswer: -123*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-4) + 2 + (-21)\/14. Let t = -19\/4 - -5. Let k = -212 + 209. Put t, n, k in decreasing order.\nAnswer: n, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3. Let z(s) = s + 8. Let i(u) = -17*f(u) - 6*z(u). Let j(h) = 4*h - 2. Determine -5*i(p) - 7*j(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 355 and 426.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/40, 0.1, -217935?\nAnswer: -217935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - (-33)\/44. Solve -3*v + 7 = -2*o + w, 4*v - 15 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*w - 5*w. What is the remainder when 14 is divided by 12\/((6\/4)\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2 + 12136*q + 9205156 = 0.\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(a + 2 - 2) + 6*a - 8*a + 26*a + 1 - a - 1 in the form k*a + l and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 0.08, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68001 and 6531.\nAnswer: 148038177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/21 - (-228)\/14. Let o = -610151.7 - -610152. What is the nearest to i in o, -2\/5, -0.2, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74619 by 91.\nAnswer: 74619\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1601, -1919, -2241, -2567, -2897, -3231?\nAnswer: -3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 29 = -8*s + 16 - 14 + 6, -a - 34 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxg when three letters picked without replacement from hhxgsxw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50999846351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17.112684 minutes?\nAnswer: 0.2852114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*v**3 + 179*v - 179*v + 25 wrt v?\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 60 = 8*z. Suppose 2*u - 3*t = -0 + 5, -z*u + 5*t = -7. Which is the closest to 8? (a) u (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 + 42*v - 439. Let r(q) = q + 1. Let l(u) = 2*u**2 - 5*u - 6. Let x(w) = l(w) + 5*r(w). Let b(h) = k(h) + 2*x(h). Factor b(a).\nAnswer: -(a - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 379 + -664. Let z = 289 + u. Does -5.2 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 269 + 249 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 8*f + 46. Put -3, -2\/3, -2.1, f in increasing order.\nAnswer: f, -3, -2.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1272)\/(-1166) + 54\/(-110). Which is the biggest value? (a) -2\/259 (b) 0.8 (c) g (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*b - 1931*b + 967*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13\/y**2 assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + 308\/120 + -2 and (138\/(-27))\/((-6)\/(-2) - -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202322.59 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k + 382 - 382.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(672) + sqrt(42))*5)\/sqrt(6) - sqrt(175)*-3*-2)*-3)**2*2.\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 - 804*l**2 - 1592*l = 0.\nAnswer: -199, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53709887 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -69505908.\nAnswer: -69505908.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 4*w**2 + 0*w**2 - 1 + 1 - w**2 + (4*w - 4*w + 2*w)*(-109*w - 44*w + 19*w) + (-1 + 1 + w**2)*(-1 + 6 - 3).\nAnswer: -272*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 36 = 0. Let z = w - 7. Solve -z*s - 2*s - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10153 - -21824. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/5 - -26\/45. Which is the nearest to 0.1? (a) -1\/4 (b) 3\/4 (c) -3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30425, 60852, 91279, 121706, 152133?\n\"Answer: 30427*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/106 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*g**5 - 4*g - 5 wrt g?\nAnswer: 2680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 + 9*n**2\/2 + 9*n - 1. Let r be v(-7). Let g(z) = 3*z + 3 + z**2 - z + 4*z. Calculate g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 2*k**3\/3 + 1381. Let p(s) = 3536*s. Determine y(p(f)).\nAnswer: 25006592*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -24. Let x = -990 + 988. Sort x, 0.4, 0.13, i.\nAnswer: i, x, 0.13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102331323 - -102221?\nAnswer: -102223102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4097 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s**3 + 3*s**3 - s + s.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzw when four letters picked without replacement from {w: 3, z: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139645 is divided by 4546.\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 37374 + 37425 = w, -60 = -4*w - 4*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.3, -2\/3, 14, 0.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:05 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:49 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y + 0*y)*(944 + 50*y - 944).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 6*j - 3. Let w(n) = -2*n + 34. Let u be w(-4). Suppose 218*h + u = 225*h. Give q(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 1. Let h(q) = 2*q - 2412*q**2 + 1180*q**2 + 1226*q**2 + 12. Calculate h(l) + 3*m(l).\nAnswer: -3*l**2 + 2*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**5\/20 + x**4\/12 - x**3\/3 + 3*x. Let m(k) = -6*k**3 - 6*k**2 + 10*k. What is -2*m(d) - 11*p(d)?\nAnswer: d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 3, 4, 7, 12, 19, 28?\n\"Answer: i**2 - 4*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 11. Let g be q(7). Suppose g*b + 950 = 5*b. Suppose -4*u + b = -533. Calculate the highest common divisor of 28 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19809146, 8, -2 in decreasing order.\nAnswer: 19809146, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 384166459 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 22906*t\/5 - 22901.\nAnswer: -(t - 22901)*(t - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2200 and 1584?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, x: 4, d: 5}. Give prob of sequence ddd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 4*i**2 - 4*i - 3. Let b be f(-3). Let m = 3 - b. Suppose -2*x - m*x + 265 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 185*g**2 + 586*g + 112. Calculate b(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**2 + t + 6. Let s be o(7). Find the common denominator of 27\/8 and (-1465)\/s + 4\/26.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -3 + (-33)\/(-15). Are o and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 14 = -5*i. Let x be -2*(-1 + (-2)\/i). Let d = 4 - 2. Which is smaller: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18228 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i**3 - 15*i**3 - 8*i**3 - 13*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20802696*-0.04\nAnswer: -832107.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 6\/9)*(900\/8)\/25. Let z(b) be the first derivative of -4*b**2 - 7*b + 1. Let j(p) = p + 1. Calculate h*j(x) + z(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 155*d**2 + d - 2. Let f be z(1). Let l = 49 - 35. What is the highest common factor of f and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + b**3 + 0*b**3)*((5*b - 2*b - 2*b)*(2*b - 5*b + 5*b) + b**2 + 2*b**2 - b**2 + 2*b**2 - 4 + 4).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/40 and -7\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b - 2. Let l be i(-1). Let p be 1 - 3 - (-21)\/l. Let t be (-15)\/(-21) - 2\/(-7). Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 44*y**2 + 5. Let z(o) = -17*o**2 - 27*o - 36. Let p(h) = -2*h**2 - 3*h - 4. Let i(c) = -18*p(c) + 2*z(c). What is i(m(w))?\nAnswer: 3872*w**4 + 880*w**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.453 + -0.053. Let i = -4 + v. Let c = i + -0.1. Sort c, 3\/5, 1\/4.\nAnswer: 1\/4, c, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2115.18 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {y: 3, g: 9, r: 5, x: 2}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 44711 (c) -196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0*b**3 - 1\/24*b**4 - 3*b**2 + 0*b + 0. Let q(i) = -4*i**2. What is q(u(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 12:45 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = 0. Suppose 2*q + 6 = -q. Let w be (2 - 22)\/q + 2. Solve 0 = -5*h - s*b - 4*b - 11, -4*b - w = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*d - 4003 = 1259*d - 386*d + 16056 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 53701 = 3*k, -5788 = 3*u - 5*k - 37995. Suppose 8*t = -31 + 55. Suppose t*h = 5*s + 7316, 4*s + u = 5*h - 1450. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2)*-6 - ((sqrt(208)\/sqrt(4))\/sqrt(4))**2 - (2*sqrt(468) - (-2 + 2 + sqrt(13))).\nAnswer: -17*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-162)\/135)\/((-4)\/(-50)). Sort g, 0, -4 in decreasing order.\nAnswer: 0, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -101661, -101661, -101659, -101655, -101649, -101641?\n\"Answer: d**2 - 3*d - 101659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11))**1)**(2\/7) assuming i is positive.\nAnswer: i**(4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o + 540. Let c be x(34). Suppose -3*g + 6*g - 150 = 0. Calculate the highest common factor of g and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/27*18\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 + 6 - 1 + o**4 + 7 - o**2 to m*o**3 + q + x*o**4 + k*o**2 + s*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 n when four letters picked without replacement from {q: 3, x: 2, n: 6, k: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -301, -421, -541?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(19) + 5 + -2*sqrt(19)*3 + (1*sqrt(76) - (sqrt(190)\/sqrt(160))**2)) + 1.\nAnswer: -167\/16 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 19, c: 1}. What is prob of sequence ffc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8954419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 9:46 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-9\/2))\/(x*(x**(-4)*x)\/x)*(x**(-3\/5)\/x)\/(x\/(x*x**1)*x) assuming x is positive.\nAnswer: x**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 e when four letters picked without replacement from fffoeddoeofdrdeo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*h + 0*h = 7, 3*i = -2*h + 14. Suppose 3*s + i*p = 11, -5*s = 4*p - p. Let v be 0 + -1 - (-28)\/(-4). Sort 2, 1, s, v in increasing order.\nAnswer: v, s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 3. Suppose -6*y + 4*y - 8 = -3*r, -5*r + 3*y + 12 = 0. Give j(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c9 (base 16) to base 10\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 6:41 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, w: 6, h: 2}. What is prob of picking 2 q and 1 h?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 2.1, 2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*n**2 + 12*n**2 - n**4 + 14*n**2 + 7*n - 9 to the form b*n**3 + p + h*n**2 + v*n + o*n**4 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 16 = g - 5*m, -2*g = 3*m - 34. Solve -g*d + 5 = 105 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4294, -8531, -12768, -17005, -21242, -25479?\nAnswer: -29716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*(8 - 8). Suppose 0*z - 2*z - 3100000 = x. Round z to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -2514.\nAnswer: -1257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 67968?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.8 + -60.8. What is the nearest to 2\/13 in -5, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 13 + 5 - 27*i + 6*i - 21*i.\nAnswer: -34*i + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37317, 149315, 335979, 597309?\n\"Answer: 37333*k**2 - k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + 6 + -13 + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 644151839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 429, 871, 1313, 1755, 2197?\n\"Answer: 442*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*k**3*l + 39*f*k**3 + 1278*f*k*l - 400*k**3*l + 3*k**3 - 633*k**2*l wrt k?\nAnswer: 12*f*l + 234*f - 2400*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 908647.5 decades in years?\nAnswer: 9086475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:26 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 39*h = -277, -3934*h - 20 = 4*p - 3930*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4 = 2*i + 3*p, -4*i - 2 = -p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/3 + 152*i**2 - 8664*i = 0.\nAnswer: 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = 32. What is the remainder when 25 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/1295 + -5134\/29785. Suppose 3*z + 15 = 0, 5*z + 32 - 3 = 4*l. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 37*p + 62. What is the remainder when c(2) is divided by 63?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12337 and 1352?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.4 or -610?\nAnswer: -610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2530)\/(-231) - 2\/7)*(-60)\/(-40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/51*(-135)\/25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -47*j + 1 - 2*j - 4*j - 6*j. Let k(o) = 0*o + o - 8*o + 5*o. What is d(k(a))?\nAnswer: 118*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 29442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.4769*-0.087\nAnswer: 0.2154903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7687 is divided by 163?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0602855 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b + 2*b - 805 + 805. Let r(g) = -7*g**2 - g. Give s(r(a)).\nAnswer: -14*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 48 and 48 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) -0.5 (c) -0.044 (d) 354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*g - 71*g - 473304 = 1183960. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/5)\/c*c**(-1))\/(c*c**(-4)*(c\/(c*c**(-7)\/c))\/c))**43 assuming c is positive.\nAnswer: c**(-1376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2711 is divided by 548.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 1. Let h(c) = 7*c**2 + 1. Let z be h(1). Let r(g) = 2*g**3 - 2*g + 2. What is z*y(b) + 4*r(b)?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25169\/2562 + 714\/61. Calculate the common denominator of b and -109\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/32 + (-1)\/(-8). Suppose -d - 2*t + 31 = o, -6*d + 74 = -2*d - 2*t. Suppose 7*k - 3*k = 328. What is the remainder when k is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 196, 386, 574, 760, 944, 1126?\n\"Answer: -n**2 + 193*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16*h\/(h\/(h*h\/h**(-1\/12))))**(-1\/23) assuming h is positive.\nAnswer: h**(-217\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 + 5*c**2 + c - 2. Give q(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79252 + 871776\/11. Solve -2\/11*b**5 - 8\/11*b**2 + 14\/11*b**3 + 0*b + 0 - j*b**4 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1614105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381483 divided by -1917.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2329 + 3*o**3 + 4649 - 2320 - o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((6\/1758)\/(50\/(-20)))\/((-4)\/41) and 61\/18.\nAnswer: 26370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 130 = 6*v + 8, -19*v - 8*v + 2*t = 11*v - 282 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 574c (base 13) in base 9?\nAnswer: 17701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) -3\/4 (c) -1628931\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52324 by 26162.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -27. Let v = -30 - p. Solve -2*z = -5*t + 17, 5*t + v*z + 4 - 14 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3*w**2 - 3863*p**3*w - 2*p**3 - 31*w**5 wrt w?\nAnswer: 4*p**3 - 620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21355297 is divided by 129?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by (3\/6 + -2)\/((-135)\/630).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/7 + 1020*t**2\/7 - 1152*t + 16064\/7 = 0.\nAnswer: 4, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 302, 4\/9, 0.1, -1.1 in decreasing order.\nAnswer: 302, 4\/9, 2\/7, 0.1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, 5\/2, -3660769?\nAnswer: -3660769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -9671.\nAnswer: 3\/9671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 14*h = -22*h. Factor h*s + 6*s - s**2 + 14*s + 0*s.\nAnswer: -s*(s - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11351 + -23?\nAnswer: 11324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 41431*s + 1662038. Give h(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2 - 1332*v - 147852 = 0.\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3812057\/5 or 762411?\nAnswer: 3812057\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.3, 134, -0.57, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -530809569 or -530809567?\nAnswer: -530809569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a. Let p(d) = -d. Let w(l) = -4*l. Let u(s) = 14*p(s) - 3*w(s). What is u(b(t))?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 28.5. Let r = -9.5 - j. Let q = r - -14. Which is the third biggest value? (a) -4 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8104, 15684, 28326, 46030, 68796, 96624, 129514?\nAnswer: 167466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/5 + 2563*y**2\/5 - 10264*y\/5 + 10268\/5 = 0 for y.\nAnswer: -2567, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 - 4*b**3\/3 + b**2\/2 - 2*b - 20. Let f be q(4). What are the prime factors of 54*(f\/6 - -4)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/(-7 - 195\/(-27)). Suppose -2*i + 192 = -p*n, 183 + 9 = 2*i + n. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/346)\/4*3\/9. Let y = -123\/4325 - v. Let u = 9\/25 - y. Which is greater: 0.14 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8888002 years?\nAnswer: 0.08888002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(8\/(-10))\/((-13)\/65). Let b be 1 - (4\/(-2) - -21). Let t be 81\/b*y\/(-6). Do 1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*q - 50 = -2*l, 0 = -4*q + 8. Suppose 5*u - 2 = l. Suppose -u*b - b = -108. Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 7*w**4\/12 + w - 40. Let q(r) = -7*r**2. Calculate m(q(y)).\nAnswer: 343*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 1. Suppose -2*l + 27 = 8*s - 3*s, -3*s = l - 16. Let t(v) = 5*v + 2*v + v**2 - 7*v + 1. Determine l*c(k) + t(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -20, 13, -5, 125, 0 in descending order.\nAnswer: 125, 13, 0, -5, -11, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 41*s**2 + 1 + 0.\nAnswer: -41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 3*d = -24, 5*z + 5*d - 1553 = -1513 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 38*c**2 + 26. Let i = 5239 - 5220. Calculate t(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -432\/7 - -3631\/56. What is the common denominator of 4\/9 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*n + 2*g - 5*g, 2*n - 5*g - 19 = 0. Suppose -3*j + 21 = -n*j. Let q = 25 - j. Let b(r) = 2*r - 5. Give b(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 7*z**2 + 2966*z - 20762. Let v be c(7). Determine x, given that v + 4\/13*x**5 - 6\/13*x**4 + 2\/13*x**2 + 0*x**3 + 0*x = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1 - 3) - (17 - 23)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27480 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -22. What is the closest to -16 in -1\/3, 0, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y**3 + 9. Let f(k) = k**3 - 15*k**2 + 38*k + 12. Let q be f(12). Let u(j) = j**3 - 1. Calculate q*u(c) + 4*z(c).\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -230, 558, 2604, 6328, 12150, 20490, 31768?\nAnswer: 46404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Let u(x) = 3 - 2*x + b*x - x. Calculate the remainder when 16 is divided by u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*u + 219*u = 372. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1076, 4031, 8960, 15863, 24740?\nAnswer: 35591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.266062614 to three decimal places.\nAnswer: 0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 8*t - 8. Let n be -2*((-11)\/2 + (5 - 5)). Let o be c(n). Solve 5*q - o = h + 5, 2*h = 5*q - 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 16 + 0 = -4*z, 0 = 5*z - w - 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44263653 and 1498?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**4 + 10*s**3 + 15*s**2 - 23*s - 20. Let m(g) = 9*g**4 - 13*g**3 - 15*g**2 + 24*g + 3*g**3 + 24 - 4. Let q(t) = 4*j(t) + 3*m(t). Factor q(a).\nAnswer: -5*(a - 2)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*u - 44*u - 225 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340626.\nAnswer: 2, 3, 11, 13, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6))\/(o\/o**(-7)))\/((o*o\/o**(2\/3))\/(((o\/(o\/o**(-6\/11))*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-524\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**16)\/j*j*j)\/(j\/(j**24\/j))*(j\/j**(1\/17))**16 assuming j is positive.\nAnswer: j**(392\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 249 + 249 + 6*w**3 + 4*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85\/(-136)*1*(-20)\/15.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 8*l - 26. Let s = l - -15. What are the prime factors of 33 - (s + -5 - -3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (9 - 7) + (-5 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a factor of 444267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27735579870 rounded to the nearest one hundred thousand?\nAnswer: -27735600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 91575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 14802760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2721*b + 1471*b + 93955 = -1079*b + 326*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/368*4*4\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*h + 4829488 = h - 834916. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*x - 44. Calculate the smallest common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -30*i - 66*i**2 - i**3 + 11 + 173*i**2 - 61*i**2 - 59*i**2. Let u = -2 + 3. What is the smallest common multiple of a(-10) and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14782135.\nAnswer: 5, 73, 40499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 468*c**3 + 10*c**2 - 5*c. Let a(r) = -346787*r**3 - 7408*r**2 + 3704*r. Give -5*a(l) - 3704*g(l).\nAnswer: 463*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-8) - (5*14\/(-770) + (-5035)\/(-88))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 2*m**3 + 2*m**2 + 270*m. Let s(v) = 8*v + 3. Determine 5*j(c) - 7*s(c).\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 25 = -w + 7, 5*t + 68 = 2*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + p**2 - 19*p**3 + 3*p**2.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 6}. Give prob of picking 1 w and 3 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Suppose 4*k = 4 + 8. Let f(z) = 1 - k*z - z**3 + 0 + 5 + r*z**2. Determine f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 6*x**2. Let h be z(3). Let m be (h\/(-12))\/3*-4. Is 145\/((3 - m) + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*n**3 + 729*n**3 - 1543*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39291, -39298, -39305, -39312, -39319?\n\"Answer: -7*l - 39284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*m + 67, 4*m - 48 = -5*c + 2. Let l(y) = -y**3 + 8*y**2 - 3*y. What is the remainder when l(6) is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7673271 divided by -2557757.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/36 - 6\/(-27). Suppose -n*f = f - 60. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 5. Suppose 12 = -2*p - 20. Let l be p\/56 - 66\/14. Let w(s) be the first derivative of s**2\/2 - s - 1. Calculate l*w(h) - c(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169\/365 - -18003\/34310. What is the common denominator of -61\/94 and d?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - m + 5. Let s = -6 - -6. Let d be l(s). Let g = -4 - -3. Which is the nearest to -1? (a) g (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22*s + 208. Let v be q(-10). Let o be -3 - 4 - 80\/v. Which is the nearest to -1? (a) o (b) 11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 - -110 - (-1 - 0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3194 - -1601\/12776. What is the closest to -0.05 in 0.4, 0.3, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 50. Solve -12*k + 14*k = z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96509 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-1276)*(-30)\/(-15).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2548*q**2 - 2525*q**2 + 5107*q**2.\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 0*p + 0*p - 2)*(38 - 2 + 134).\nAnswer: 340*p - 340","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 60*j**2 - 30*j**2 - 33*j**2. Let h(x) = -2. Let y(b) = b + 1. Let t(n) = 2*h(n) + 4*y(n). Determine t(i(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 15. Let k be m(9). Let u(q) = q**2 - q - 8. Let r be u(0). Is (-1922)\/k - r\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-5) + (-8)\/(-20). Suppose 22*h + 37 + 0 = -7. Sort -3, 5, c, h in descending order.\nAnswer: 5, c, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316159 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.409 less than 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 - 16*s**2 - 14*s + 20. Calculate w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 + 11*a + 6. Calculate p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/522 and -155\/522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.54 and 8.38?\nAnswer: 7.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.411 + -70?\nAnswer: -70.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51490378 is divided by 12872591?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/349, 0.4, -2\/5, 0.2, 2\/37 in increasing order.\nAnswer: -2\/5, -1\/349, 2\/37, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -423*a**2 + 6*a + 9427.\nAnswer: -846*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3021*l - 3001*l - 60 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010010001010 - 1000001?\nAnswer: -1000010011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 528 (b) 12 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 731 and 918?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19436 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124498 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2569? (a) 2\/13 (b) 6 (c) 0.5 (d) 0 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*r**2 - 263 + 4*r**4 - r**4 - r**4 + 261 + 2*r**3 to q*r**2 + n*r**4 + g*r + v + z*r**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 9 - (-40 - (-14 + 0))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14552328 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c\/(c**(-1)\/c)*c)\/c))**(-19)*(c**(-2\/7))**(-1))**(-2\/81) assuming c is positive.\nAnswer: c**(-802\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + g + 2*g**2 - 3. Let x(q) = 341. Let p(k) = 938. Let f(i) = -4*p(i) + 11*x(i). Determine 2*f(z) - h(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 + 2*k**2 - 9*k + 33. Let y(l) = 3296319 - 6*l - 3296335 + 10*l - l**3 - l**2. Determine -4*p(g) - 9*y(g).\nAnswer: -3*g**3 + g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132268, -264551, -396832, -529111, -661388?\nAnswer: -793663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1683 and -87\/374?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 8*u**2 - u**3 + 18*u - 20 - 4*u**2 - 5*u**2 + u**2. Calculate z(-18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**5 + 1320*x**4 + 140733*x**3 - 80616774*x**2 - 655632516*x + 1632585240 = 0.\nAnswer: -234, -10, 2, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbf when three letters picked without replacement from {f: 7, b: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82840937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-6)*78\/(-9). Suppose 0 = -4*j - j + 155. Let c = j + t. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009379 rounded to six dps?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5 - 5*d**2 - 561*d wrt d?\nAnswer: 20*d**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 8*y**2 + 3*y + 2. Calculate l(5).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 123 = -18. Is 14 a factor of (105 - u) + 0\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17254 times -64\nAnswer: 1104256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and -4077.\nAnswer: 167157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/330)\/(1365\/(-18200))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 3 + 5 + -17 + -38.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*v**3 + 452*v**3 - 55*v**3.\nAnswer: 910*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1817*b**5*f**3 + 66*b**5 + 10*b*f**3 + 520*b*f + 5*f**3 - 2*f wrt b?\nAnswer: 36340*b**3*f**3 + 1320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -54. Let b be 2\/4*(-3)\/(-3). What is the third smallest value in n, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 2, q: 1, n: 1}. Give prob of sequence ui.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 32477*n - 20330598. Give r(626).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*i**5 - 9\/8*i + 54*i**4 + 105\/8*i**2 - 99\/2*i**3 + 0.\nAnswer: 3*i*(i + 3)*(4*i - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q - 527826736 + 527826736.\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41702.\nAnswer: 2, 29, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-24) - 2\/6. Let w(r) = -r + 1. Give w(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333132020 - -2?\nAnswer: -333132012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11270545 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 6*j**2 + 53*j + 22. Let w be r(-13). What is the highest common factor of w and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4bb (base 15) to base 10\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 3*w - 2. Let r be a(3). Let u = r - -3. Calculate the smallest common multiple of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - (3 + -3 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18*(-7)\/546)\/(7*4\/182)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*k**4 - 14283\/8*k**2 - 207\/4*k**3 + 0 + 0*k.\nAnswer: -3*k**2*(k + 69)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by (-3)\/(-12) + (12\/8 - 314\/(-8)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998037.\nAnswer: 3, 173, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/4 + (-5 - -3))\/((-8286)\/(-298296))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652048.4 nanograms in micrograms?\nAnswer: 652.0484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 6:25 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 103*d - 62*d + 44*d.\nAnswer: -111*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 5*a**4 - 5*a**4 - 4*a**4 - 2*a**4 - 7*a**4 + (-a + 1 - 1)*(-1 + 1 - a**3 + (-a**2 - 2*a**2 - a**2)*(-29*a + 21*a - 19*a)).\nAnswer: -121*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147008 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 -14*g + 3*g**2 + g**2 - 31*g**2 + 19*g**2 + g**2 + 8*g**2.\nAnswer: g**2 - 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 26*p - 55)*(3*p**3 + 62 - 62) + p - p - p**4 - 4*p**4 - 2*p**4 + 4*p**4 - 2*p**4 + p**4 - p**4 + (0*p + 0*p + p**2)*(-3*p**2 + 4*p**2 + 0*p**2).\nAnswer: -82*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 47*q + 5. Let p be w(3). Let s = p + -56. Let l = 178 - s. Calculate the highest common divisor of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u. Let z(y) = -y + 9. Let m(n) = 64 - 53 - 5*n + 40. Let r(k) = 6*m(k) - 34*z(k). Give r(c(i)).\nAnswer: -64*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 315 - 315. Let o(z) be the first derivative of -5\/6*z**6 + 0*z**5 + 2*z**3 + 0*z**2 - 6 + 0*z + u*z**4. Find the third derivative of o(m) wrt m.\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159 times 7978\nAnswer: -1268502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 110665, 222484, 334303?\n\"Answer: 111819*w - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/7 + 128012*r\/7 - 9237600\/7.\nAnswer: 4*(r - 72)*(r + 32075)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 4 - (-7 - (-161)\/21)*-156?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = -2. What is the remainder when (-51)\/i - 2\/4 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009182647 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -510*y - 17227 - 4193 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3 - 58040*g**2 - 231916*g + 2611080 = 0?\nAnswer: -14506, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128*(24\/(-16) - (-2 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 40.06. Let b = x - 39.9995. What is b rounded to 5 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) - sqrt(76)\/sqrt(4)) - (-2 + sqrt(57)\/sqrt(3))**2.\nAnswer: -26 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -0.013122486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 121831500 a multiple of 2830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/(c\/(c*c\/(c*c\/(c\/((c\/c**(-2)*c*c)\/c*c))*c))))**(2\/19)\/(c**3\/(c*c**(-1)*c)))**15 assuming c is positive.\nAnswer: c**(-660\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2*469.02\nAnswer: -938.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316276 is divided by 353?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 223 + -226. Let r = 95 + -125. What is the nearest to r in 5, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - (36 + -34)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w**4 + 35*w**3 + 189*w**2 + 326*w. Let d(a) = a**4 - 2*a**3 + 3*a**2 - 2*a. Let f(t) = 7*d(t) + g(t). Factor f(z).\nAnswer: -3*z*(z - 13)*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84433 (base 11) in base 9?\nAnswer: -206615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383665 - 87601 = 24*k. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435*o - 30 = 432*o. Suppose 3*j - 76 = 2*q, -3*j + 156 = 2*j + 4*q. What is the remainder when j is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327*i - 13764 = -3323*i + 1624*i for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m + 17 = 70*m - x, -7 = -2*m + 3*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 + 2.16. Let u = n - 3.4. Is u greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17721 - j**2 - 3*j + j**3 + 8862 + 8857. Give h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 20 = -3*a, 4*h = 22*a - 18*a + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43603164 divided by 1321308?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**3 + 30*i**2 - i - 1. Let n be k(-6). Suppose -n*h - h = -2040. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4481*u + 43203. What is c(-9)?\nAnswer: 2874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 128\/3.\nAnswer: 2*(y - 8)*(y + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 565 or 564?\nAnswer: 564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21154911 is divided by 94?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67319850 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n + 6. Let b(t) = -t**2 + 3. What is 5*b(m) - 3*r(m)?\nAnswer: -2*m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8210, 65822, 222194, 526706, 1028738, 1777670, 2822882, 4213754?\n\"Answer: 8230*i**3 + 2*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85509, 85507, 85505, 85503, 85501?\n\"Answer: -2*w + 85511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4594774 divided by 7.\nAnswer: 4594774\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 58851210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -14. Let r = t + 6. Sort r, -0.1, -0.5 in ascending order.\nAnswer: -0.5, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -13*h + 7*h. Let n(u) be the third derivative of -4\/3*u**h + 0 + 1\/6*u**4 + 0*u + 2\/15*u**5 + 3*u**2 - 1\/30*u**6. Factor n(o).\nAnswer: -4*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*l - 324 + 243 = 0. Solve 5*o = 53*m - 50*m - 5, 0 = -4*o + 3*m - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*j + 20 = -j, -5*j = 5*k + 25. Let t be k\/(-2)*2\/4. Solve i = -2 - t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (60\/(-8))\/3. What is the third smallest value in -12, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**30*o*o)\/o)\/(o*o\/o**30) assuming o is positive.\nAnswer: o**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(-10)\/(-35)*7. Is u bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (4 - 2) + (-8 - (1 + 6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2882, 3192, 4022, 5630, 8274, 12212, 17702?\nAnswer: 25002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1447?\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -51274*o**2 + 30*o + 3. Let m be y(-2). Let w = m - 3014847. What is w rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 65475*k**2 + 210063240*k - 28198460880.\nAnswer: 5*(k - 129)*(k + 6612)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-9 - (-6 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124280886*i*r**3 - 161*i*r**2 + 1954*i + r**2 + 2*r - 7 wrt r.\nAnswer: 745685316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - (-2 - -3)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59520174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 110000111100011101 (base 2) to base 13\nAnswer: 70334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:33 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 - -2. Let g = 70.7511 + -70.1511. Let b = -2 - -2.5. Put b, h, g, 3 in increasing order.\nAnswer: h, b, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m**5 - 11\/60*m**6 + 27*m**2 + 41\/24*m**4 + 0*m**3 + 0*m + 0. What is the second derivative of t(g) wrt g?\nAnswer: -132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 + w. Let t(z) = 153*z - 1. Calculate j(t(p)).\nAnswer: 140454*p**2 - 1683*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 - -212?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0349 * 2027.\nAnswer: -70.7423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k + 22 = 45*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(2 + 2 + sqrt(1100) + (sqrt(1100) - (sqrt(1100)*1 - sqrt(1100))) + -4))**2.\nAnswer: 70401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/(-7))\/2 + (-6)\/(-14). Solve -j*h - 2 = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 10*p - 8. Let n be v(11). Suppose -z - n = 5. Let o = z - -11. Let c(j) = j**3 - 2*j**2 - 2*j - 1. What is c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100973991.\nAnswer: 3, 33657997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6116783.\nAnswer: 53, 131, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*(-10)\/2. Let t = -28 + 42. Solve 0 = -o*m - 11 - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -16*c**5\/3 - 1192*c**4\/3 - 6299*c**3 + 101914*c**2\/3 - 156779*c\/3 + 24990 = 0.\nAnswer: -45, -34, 1, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45093*l**3 - 60247*l?\nAnswer: 270558*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -5, -2, -54, -1, -3 in increasing order.\nAnswer: -143, -54, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:56 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/5)\/(5\/(-250)) is divided by -6*((-42)\/9 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 3)*(0 + 2*f**4 + 0 + (0 + 0 + 2*f**2)*(f**2 - f**2 + f**2)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.233703m in kilometers?\nAnswer: 0.007233703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 328228852 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27041 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947034 is divided by 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2)*(-2 - 1 + 1)*(1040 - 8*z - 1039 + 87*z) + (0*z + 2*z - 3*z)*(-2 + 0 - 1).\nAnswer: 793*z + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 3*w**3 - 878 + 878.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2620 * -0.1.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4*x - 0 + 2, 4*x - 22 = -5*t. Let b be 1 + t - -1*2. Suppose b*w - w - 48 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.350853 centimeters?\nAnswer: 43508.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5935020 and 2496?\nAnswer: 94960320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21134 (base 11) in base 6?\nAnswer: 354243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405627.\nAnswer: 3, 135209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -19. Suppose 2*k - 800 = -48*k. Solve g = -r - 3*r + k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-10)\/q*q*q))\/q*q)**(17\/4)*(q**0*q)\/((q*q\/(q\/(q*q\/(q**(-8)*q)*q))*q*q)\/q) assuming q is positive.\nAnswer: q**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 9*i + 36 = -2*s, 4*i + 16 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 x when three letters picked without replacement from {e: 3, x: 5, w: 4, v: 2, q: 1, k: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.93 + 0.07. Let g = 0 + 0.3. What is the biggest value in g, q, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -4, 4\/1281?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19467 + -20654. Is v < -1192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55104 divided by 168.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 1. Let u(c) = 5*c - 2. Let b(m) = -3*n(m) - 2*u(m). Let v be b(-13). Is 1 + (87*v)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 28*g + 1. Give l(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 25*x - 87. Let g(k) = 8*k - 25. Let h(z) = 7*g(z) - 2*q(z). Calculate h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 25*f**2 + 0*f**4 + 0*f**3 + 0*f + 0 - 1\/600*f**6 + 1\/100*f**5. What is w in o(w) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 2*c - 7. Let p be t(3). Suppose 0 = -4*y - 2*o + p, o = 6*o - 15. Solve y*n - 2*a - 6 = 0, 5 = 2*n - a + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7543288.3 - -1118022\nAnswer: -6425266.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 7*b + 7. Suppose 8 = -z - 0. List the prime factors of t(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 17. Let f(m) = m**3 + 7*m**2 + 5*m - 4. Give f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-63)*2*49\/(-252)*3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231413 (base 5) in base 9?\nAnswer: 12416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v - 701. List the prime factors of v.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.6 (b) 0.2 (c) 1\/3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 + -0.07.\nAnswer: -51.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 5. Let k = -33 - -37. Let o be (6\/(-12))\/((-14)\/k). Which is the third smallest value? (a) 5 (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4, a - u = 63987 - 12199. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 737443.8 millilitres?\nAnswer: 737.4438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 - n. Let z be l(-1). Let m be ((-14752)\/4 + 1)*z. Is (-1)\/4 - m\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:21 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60240532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 17*r + 238. What is h(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from otooxotottxtt?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 179, 208, 239, 272?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -181*k + 173*k. What is the smallest common multiple of 8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10321093581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 9546 - 1546 = 0. Suppose -7*y - 9*y + d = 0. Suppose y = 2*r + 3*r. Calculate the highest common divisor of r and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(1\/(-2)). Let h be 2\/(-6)*(-2 - u). Let k = 0 + -3. Which is the closest to 0.1? (a) -5\/4 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 2. Let l(y) = 106213*y**2. Give f(l(p)).\nAnswer: 33843604107*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 101.5 and 11908.9.\nAnswer: 12010.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 496123, 992271, 1488443, 1984639, 2480859, 2977103, 3473371?\n\"Answer: 12*s**2 + 496112*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -8*f + 62. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -2, -4.\nAnswer: -9, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let x(z) = 872497*z**2 - z + 2. Give x(i(l)).\nAnswer: 3489988*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 184427547 a multiple of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/13801677 and 19\/9201118.\nAnswer: 27603354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -165659379\/10 and -16565937 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/((-171)\/38 + 5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 7:42 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-69)\/(24288\/(-64))*(-1)\/12?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 5. Let m(r) be the second derivative of -r**4\/4 + 13*r**2\/2 - 10*r. Let z be m(-3). Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30553 = -5*m - 3*q, -3*q - 6700 = -5*m + 23877. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2. Let q = 11 - 5. Let k(b) = -b - b + q*b. Calculate f(k(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 - (-5 - (-7 + 4)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - t + 11, 0 = 3*d + 2*d + 3*t - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 1. Let z be 6\/c*(-1)\/1. Solve 0 = z*j - 4*x, -3*j + x + 13 = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*2*9. Suppose -2*b + 352 = -977*l + 973*l, -2*b - 4*l = -296. Calculate the highest common divisor of d and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7482790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49937341 = -228*y + 5256899. Round y to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*x - 211*x**2 + 269*x - 158*x - 2 to the form f*x**2 + i*x + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3052 + -20336?\nAnswer: -23421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 10*t + 7*t)*(t**2 - t**2 - 2*t**2).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 5670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -117*j + 11636. Determine m(100).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 631 + -4?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44499 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 + 3*u + 7. Let f be g(5). Find the common denominator of (-238)\/30*5\/2 and (-164)\/8*(-1)\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/21 + 27*c**2\/14 - 72*c\/7 + 147. Factor p(r).\nAnswer: -(r - 24)*(r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 5*m**2 + 17*m + 13. Let z(t) = 21*t + 203. Let r be z(-10). Determine w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 19*o - 11*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 - 1 + 1. Let x(q) = -280*q - 180. Let b(a) = -6*a - 4. Let m(j) = -45*b(j) + x(j). Calculate m(w(f)).\nAnswer: 70*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 take away -0.12?\nAnswer: -57.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o + 2. Let z be o\/4 + (-2)\/(-4). Let i(a) = 3*a**2 - 4 - 4*a**2 + 5 + a**3 - 26 + 17. What is i(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 38*k - 1328. Calculate the smallest common multiple of 6 and q(55).\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*d - 23*d - 19*d - 17*d - 1 to u + y*d and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -2*j**5\/5 + j**4\/4 - 1343*j**3\/3 - 1247. What is the third derivative of h(t) wrt t?\nAnswer: -48*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pir when three letters picked without replacement from hphhrihhriirhhiiphh.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*l + 11251 + 32849. Let r be (-6)\/(-28)*2 - (-204)\/l. Sort 1, r, 0, 2\/11 in descending order.\nAnswer: 1, r, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48840, -48844, -48850, -48858?\nAnswer: -48868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15542413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 78. Suppose g*j - 2*j + 1950 = 4*t, -1944 = -4*t - 2*j. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -63*w - 18. What is f(1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 718 + -713. Suppose -l*k + 3*v + 2*v = -3390, -v + 684 = k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*s**4 + 11545*s**3 + 195685*s**2 - 10445*s - 18690 = 0.\nAnswer: -89, -21, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2) + 3 + -1. Let u(x) = x**2 - 2*x + 2. Let a be u(2). Is a at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5347 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3310.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3842 = 250*i + 1908 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**13*i)\/i))\/(i**9\/i))**45*((i*i**4)**41)**(-6) assuming i is positive.\nAnswer: i**(-2130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 784 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-13800)\/(-2100))\/(2\/(-7))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/330 and 49\/50?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1240, -1168, -1096, -1024?\n\"Answer: 72*h - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 1, s: 2, u: 1, v: 2}. What is prob of sequence sui?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3444 - 4*k**4 + 2*k**4 - 3480 + (3*k - 6*k + 4*k)*(-k**3 - 1 + 1) + k**4 - 3*k**4 + k**4 to p*k**4 + t*k**2 + d + a*k + q*k**3 and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 436.98?\nAnswer: -436.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 71.61425 seconds?\nAnswer: 71614250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-27)*36\/60.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - w - 5*w + (0 + 2*w + 0)*(1 + 2 - 2) + (-3 + 3 + 2*w)*(-1 - 2 + 2) + 12*w + 4*w - 35*w in the form y + g*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*o*u**6 + 7*o*u**2 - 2*o*u wrt u.\nAnswer: -7080*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -2.815397.\nAnswer: -0.8446191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpu. Give prob of picking 1 p and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, o: 5, c: 7, l: 2}. Give prob of sequence ob.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0 + 1\/5*i**5 + 0*i**2 + 1\/3*i**3 + 2*i - 1\/3*i**4. Does 10 divide n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -11*f**4\/12 + 7*f**2 + 3*f - 28. Let p(w) be the second derivative of l(w). Let z(i) = 2*i. Determine p(z(q)).\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - k - 3. Let x be 1*(-3)\/21 + (-3267)\/847. Suppose m + 3*m = 8. Let h(p) = 1 + 2*p**2 - 2*p - 8 - 7*p**m. Give x*h(w) + 9*l(w).\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4302590735 to the nearest integer?\nAnswer: 65594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 56, 84, 112, 140, 168?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 4:15 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/(-120)*150\/210?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1481*r**2 + 1595.\nAnswer: -2962*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**6 + 194649*z**5 + 5899569*z**2.\nAnswer: 480*z**3 + 11678940*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/11)*s**(1\/6))**(-6)*s**(-2\/3)\/s**(-5)*s**(3\/5)*((s\/((s\/(s*s**6*s))\/s))\/s)\/s assuming s is positive.\nAnswer: s**(724\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 9542610, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -927, -58.\nAnswer: -927, -58, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38301555 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 37 = -3*a. Let y be 12\/54 - 8888\/a. Suppose -5*x + y = 2294. Round x to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q - 11*q + 39*q - 14*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 + 206134*l + 412269\/2.\nAnswer: -(l - 412269)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1375681807\/9810 + -1262098\/9. Let z = b + 6\/545. Let x = 3 - 2.8. What is the nearest to z in x, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9054 + 4523 + 32*u**2 + 4531.\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.82 times -360?\nAnswer: -217375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14725, 28152, 41579, 55006, 68433, 81860?\nAnswer: 95287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*u**4 - 7*u - 643 wrt u?\nAnswer: -124*u**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186460*w**2 + w + 1086 wrt w.\nAnswer: 372920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24919*184.\nAnswer: -4585096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4390*j**3 + 3899*j wrt j.\nAnswer: 26340*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from uxuxuxxuxuuxxuuxuxxu.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-245)\/9 - (-18)\/81. Let v = j + 57. Let b be ((-4)\/(-1))\/((-140)\/v). Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981412546 by -10440559.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/91*(-14)\/(-20))\/(4\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 258\/54949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*u + 17. Let q = -11 - -22. What is the remainder when q is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071957014 rounded to 5 decimal places?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.97 - 0.03. Which is the third biggest value? (a) -1.7 (b) -2\/13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/3 + 18416*w\/3 + 18415\/3 = 0. Calculate w.\nAnswer: -18415, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**5)\/d)\/d**(-2\/9)*d**(-2\/7)*d*(d\/d**2*d)\/d assuming d is positive.\nAnswer: d**(-319\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1 - 9*f**2 - 221*f**3 - 1 - 9*f + 225*f**3. Let m(o) = -o**3 + 2*o**2 + 2*o. Determine 2*a(k) + 9*m(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-6 + 115\/15). Sort -3, 3, u in increasing order.\nAnswer: u, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 113*w**7\/21 - w**4\/6 + w**2 - 247*w. What is the third derivative of f(x) wrt x?\nAnswer: 13560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1959, 626, -683, -1956, -3181, -4346, -5439, -6448?\nAnswer: -7361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + 58 - (-1 + (17 - (-5 - -2))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 490.9256 centuries?\nAnswer: 589110.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 854335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6484014 divided by -360223\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13333)\/(-18 - 181) - (-18)\/1.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.006009 - 0.006. What is f rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12538 = 361*t - 364*t + 2*y, 2*t - 3*y - 8357 = 0. Is 4179 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -182985 < -182982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150 - 28*r**2 + 299 - r**3 - 149 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -723 + 727. Sort 0.02, 43, t in increasing order.\nAnswer: 0.02, t, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u**3 - 3\/2*u**4 + 5 + 0*u + 3\/2*u**2. What is the second derivative of l(j) wrt j?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4537535 (base 9) to base 14\nAnswer: 4796ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35754.16243 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)\/((-4)\/(-60)). Suppose 15 = 5*i - o. Suppose 2*l = i*l - 36. What is the remainder when 17 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + 41. Let m(o) = 3*o + 4. Let x be m(7). Calculate the remainder when z is divided by 2\/2 + 1*x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 - 8*w**3\/3 + w**2\/2 - 6*w - 276. Let g be -4 - (-1 - (-22)\/(-2)). What is i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 8*d + 7*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 20*m - 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhm when three letters picked without replacement from mhhmhmhmmmhmmmmmhmzh.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2 + v + 132. Let h be m(0). Suppose 4*l + 4*x = 69 - 21, 36 = 3*l + 5*x. What is the highest common divisor of l and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5695 divided by -6?\nAnswer: 5695\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 17*m**3 + 23*m**2 - 93*m + 54.\nAnswer: -(m - 18)*(m - 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -72.000067. What is d rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92791 divided by 30?\nAnswer: 92791\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 1:33 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42711.4 + -5.\nAnswer: -42716.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35536 is divided by 35431?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*4*sqrt(1400))\/(-4*(sqrt(288) + (2*sqrt(288) - sqrt(288)))))**2.\nAnswer: 175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.05 - 0.05. Let l = 0.6 - 2.6. What is the smallest value in 4, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 29. Let y = 19 + -29. List the prime factors of t(y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 0. Let w = -6 - y. Let u be 3*w\/(-18)*75. What is the highest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-8))\/i**16 assuming i is positive.\nAnswer: i**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose -3*q = -p*q + 5. Suppose -q*y + 341 = -744. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239512 is divided by 563.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-9))\/((-1)\/(-3)). What is the biggest value in -1\/6, 0.01, f?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-4)*(4 - 6)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -310 - -1671. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1 + sqrt(6)\/sqrt(2)))**2*-2 - (-2 + (sqrt(3) - (-4 + sqrt(3)))**2 - 6*sqrt(363)))*-2.\nAnswer: -332*sqrt(3) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -62 + 44. Let v(j) = 36*j + 5*j**2 - j**2 - 36*j - 1. Calculate v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(2\/108*4))\/(18\/(-24)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**2 + 36636190*g - 73272360 = 0.\nAnswer: 2, 7327236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 807739863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2 - 2*r - 15. Let k(b) = -8*b**2 + 2*b + 17. Calculate 4*k(c) + 5*y(c).\nAnswer: 3*c**2 - 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -1\/3 (c) 1 (d) 9 (e) 0 (f) -3269 (g) -2.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1065761 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15198.\nAnswer: 2, 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216805, -433629, -650459, -867295?\nAnswer: -1084137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 4.8, -1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9 - -287.1.\nAnswer: 283.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168137 and 1756?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 12:19 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9599, -5, -27, 3 in decreasing order.\nAnswer: 3, -2, -5, -27, -9599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + -3. Calculate the remainder when 32 is divided by (i\/4)\/(1\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 3. Let j(c) = -5*c - 16. Let d be j(-4). Let h(i) = 8 + i**2 - 5 + 2*i**2 - d*i**2. Give h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/4 - 187029*f\/2 - 2618259\/4.\nAnswer: -3*(f + 7)*(f + 124679)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -44. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 208*i**2 - 1296*i + 2564. What is g(214)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*f + 812 = -0*f, 3*f + 408 = 2*v. Suppose k = 4*k - v. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -22*a**2 + 22*a - 1. Let r(o) = 9*o**2 - 9*o + 1. Let f(t) = 2*j(t) + 5*r(t). What is f(9)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {v: 1, m: 4, n: 5, y: 4, d: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y - 1555 - 468 - 89 = 0 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - 1. Let z = -104.8 - t. Which is the second smallest value? (a) -5 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 + 176*y**4 + 1752*y**3 + 4144*y**2 - 6076*y = 0. Calculate y.\nAnswer: -31, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 4*r**5\/25 - 8*r**3\/15 + 4*r\/5 - 8. Factor o(c).\nAnswer: 4*(c - 1)**2*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-48)\/(-18))*9\/(-3). Solve 4*i + 5*j = -0*i - 7, 4*i - b*j = -14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 123*l - 2. Let d(h) be the first derivative of -16*h**3\/3 - 2305. What is d(z(i))?\nAnswer: -242064*i**2 + 7872*i - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22300, 44606, 66912, 89218?\n\"Answer: 22306*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - f - 1. Let p(r) = -13*r**2 - 6*r - 9. Let n(j) = 31*j**2 + 12*j + 19. Let m(s) = 3*n(s) + 7*p(s). Give -6*c(y) + m(y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35578.56t in grams?\nAnswer: 35578560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 6*h**2 - 18*h - 17. Let j be a(-8). Calculate the remainder when 243 is divided by 196*3*((-3)\/36)\/j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7063)\/28 - -5)\/((-14)\/156). Let v = 2759 - m. What is the common denominator of -101\/154 and v?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*s**5 - 1056*s + 1056*s + (4 - 1 - 5)*(-s**5 - s**3 + s**3).\nAnswer: -40*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 2*b + 17. Let z be v(-3). What is the nearest to -0.1 in 0.07, z, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 204*z + 160. What is the smallest common multiple of 14 and m(6)?\nAnswer: 9688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10004422 - 4*r + 10004274 + 2*r.\nAnswer: -2*r - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 19 - 4 = 0. Let l(q) = q**2 - 6*q + 3. Calculate l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8174034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from pkpkk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*u = 97*u + 4245 - 1281. Let o be (-2)\/8 + 0 + 0. Is o > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504659 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*-6 + -5*sqrt(48).\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 98*c + 10. Let m be s(19). Let g = m - 877. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 4)*(0*b**3 - 2*b**3 - 5*b**4 - b + 3*b**4).\nAnswer: 14*b**4 + 14*b**3 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**2 + 4*z**2 - 4*z**2)*((7*z**3 - 4*z**3 - 2*z**3)*(-1 + 3 + 0) + 2*z**3 + 0*z + 0*z + 3*z**2 - 3*z**3 - 3*z**2).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 897288 and 424446?\nAnswer: 582339912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 409 = -3*o + 56 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.385 - -6.285. Let o be (0 - 6\/8)\/(-3). Let t be (0 - -1)\/((-2)\/8). Which is the closest to r? (a) o (b) t (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3\/6)\/(1 + 18\/(-20)) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:37 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 - 8*f - 5. Let r(i) = -i**3 - i + 1. Determine n(w) + 5*r(w).\nAnswer: w**3 - 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**0*p)**25*p\/(p**(-9)\/p)*p**(-10))**(-2\/47) assuming p is positive.\nAnswer: p**(-152\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eehhe?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/63 and -71\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**3*f**(9\/4)\/f assuming f is positive.\nAnswer: f**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -79027 divided by -5\nAnswer: 79027\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 5*o**2 - 8*o + 8. Let p be t(-7). Round p to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, b: 1, l: 3}. What is prob of sequence lblb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 + 7)) + (86 - 93)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 92070.\nAnswer: 184140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.13 + 0.13. Let k = 8 + l. Suppose -3*q + 4 = 2*m - 13, 0 = -5*q + 15. What is the nearest to k in 19, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -606959 and -606957 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 + 1444194*g**3 + 6684902*g**2.\nAnswer: 240*g**3 + 8665164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - o - 2*o + 2523, -3*o - 3174 = -5*x. Let d(q) = -x*q - 628*q + 1246*q. Let w(s) = -s. Determine d(w(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8574*k - 8. Let y be f(-2). Suppose 403*a - y = 393*a. What is a rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5591242 is divided by 130.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = i + 3*j, i - 5*j - 51 = -i. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 837149464 by 4.\nAnswer: 209287366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/22)\/(1*(-3)\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1664\/48)\/52*3*(-4)\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -138*u**2 - 6*u + 5. Let n(d) = 275*d**2 + 11*d - 9. Determine 11*k(w) + 6*n(w).\nAnswer: 132*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -13 + (-4 - (1 + 4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 116*t**2 - 2. Let k be m(-3). Let n = k + -477. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/66*44\/(-2)*3\/3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 906873 - 453910. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1106 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((3 - 7) + -2 - (7 + -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.1 rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 26 = 16*b - r, 4*b + 22 = 2*r. Let u(g) = 5 - 12*g - 14*g + 27*g. Let j be u(b). Solve -4*h + 3*k - k + 16 = j, 2*h + 3*k = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18926, -22201, -25474, -28745, -32014, -35281?\n\"Answer: m**2 - 3278*m - 15649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 653, 1, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*t = 87*t + 294284. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/20 + 8*y**2. Let a(n) be the second derivative of -2*n**3\/3 - 2*n. Determine a(p(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*d - 3, d - 6 = -h. Suppose 0*z + 60 = h*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 28*v - 397. Suppose 3*c + 4*n + 1 = 13, -5*n - 15 = 0. What is the remainder when a(15) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*i**2 - 67590565*i**3 - i - 2*i**4 + 67590565*i**3 + 5*i - 7 in the form j*i**4 + d*i**3 + x*i**2 + s*i + n and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(5*(sqrt(176) - -2*sqrt(176)) + 1)*2)**2.\nAnswer: 480*sqrt(11) + 158404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18444 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 10*r - 1. Let y be c(-9). Let i = 13 - y. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, 6, 1, -21 in ascending order.\nAnswer: -21, 1, 4, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.10641 + 0.105. What is g rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537889663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*w + 2*w + 4, 2*q + 5*w = -10. Suppose q = -0*y + 3*y - 6. Suppose -3*z = -2*n - 4, -4*n = -2*z - y - 6. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*c)*(20*c + 22*c - 8*c) + (3*c + 1 - 1)*(2 + 2*c - 2) as g*c + s + p*c**2 and give p.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**3 - 3*c**2 - 4*c + 5. Let o(d) = 5*d**3 + 2*d**2 + 3*d - 6. Let p(q) = 4*b(q) + 3*o(q). Give p(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/8921 - 597689\/80289. Find the common denominator of -47\/9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*j = 3*q + 137*j - 41, -j = q - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Let p = -2 + m. Suppose p*v - 455 = -3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + j + 7 = -1, -19 = -5*o + 2*j. Suppose -h - 5*c + 10*c = -161, 0 = -3*h - o*c + 537. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:43 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172900 rounded to the nearest one thousand?\nAnswer: 173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 488 = -3*i, 4*i = 2*i + 2*s + 320. Solve i*f = 158*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30220 (base 4) in base 12?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from lseslessl.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (0 + 2 + -6)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 5*o**2 + 2*o**2 + (-o + 12 - 12)*(-4 + 4 - 2*o) + 0*o**2 + 3*o**2 - 4*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*w + 550*w + 14*w**2 - 267*w - 2*w**3 in the form z*w**3 + f*w**2 + o*w + p and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6715800 and 48503000.\nAnswer: 436527000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5 + 432*h**4 + 275658*h**3 + 274352*h**2 - 550440*h = 0. What is h?\nAnswer: -278, -2, 0, 1, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108750096?\nAnswer: 2, 3, 7, 13, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*m - 181 + 2*m**2 + 229 - 6*m = 0. Calculate m.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -164, -229, -254, -227?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9 + -11 + (52 - -1) + (-5 - -6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, i: 3, m: 2}. What is prob of sequence imim?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48591375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53832 - -85011. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324912 divided by 112.\nAnswer: -2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + 4\/(-4)*2341\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017538 to seven decimal places.\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 7. Let r = 9 + -18. Let c be w(r). Let q(j) = -j**3 + j**2 + j. Let g be q(c). What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000532 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1134 + 180. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*i + 230143 - 210791 = 0 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/8 - 681*l**2\/4 + 1380*l - 2772 = 0?\nAnswer: -462, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001487893 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Suppose d*l - 4*l + 8 = 0. Suppose -3*b - l*b + 1055 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 1. Let q be s(1). Let j be 3 + 1 + -1 + q. Let r be 20\/(-25) + (-6)\/(-15) + 2\/5. Solve -c + j = -r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 175*m - 673. Give n(171).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 10*x**3 - x - 6 + x**2 + 6 + 3 - 4. Give s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 8 = 0. Suppose -23 = -g*z + 25. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a**2 + a - 5. Let w be f(0). Let o be 2 - (-48)\/w - 0. Let k = o - -157\/20. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 18. Let a(g) = 4*g - 36. Let b(c) = 3*a(c) - 5*l(c). Let w be b(4). What is the greatest common divisor of w and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1495805 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127 divided by -195.\nAnswer: 127\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2791, -5587, -8383, -11179, -13975?\n\"Answer: -2796*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100202 (base 3) in base 6?\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126 divided by 180?\nAnswer: 521\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 - 3*n + 3. Suppose 2*h - 6 = -0*h. Let s be (-3)\/2*(1 - h). What is the units digit of o(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194\/15 - 37\/3. Let z = 26\/71 - -1717\/2485. Let s = z - 6\/5. Which is the third biggest value? (a) s (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/420)\/(115\/184))\/(1\/14)*70.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, 13, 80, 217, 448, 797, 1288?\n\"Answer: 4*s**3 - s**2 - 4*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(400))\/(sqrt(40)\/sqrt(128)).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 684221653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9766713*k - 5978315 wrt k?\nAnswer: -9766713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahjo when four letters picked without replacement from johad?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 25?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -203721 divided by -29103?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82206 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148740 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddzd when four letters picked without replacement from {z: 6, d: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42034.413 + 42024.41300088. Let b = -9 + -1. Let t = b - w. What is t rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -234*t**4 - 2*t**3 - 24*t**2 - 4 wrt t?\nAnswer: -5616*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.250215 to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8269*i + 16508*i - 8527*i.\nAnswer: -288*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + 351 - 351.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x**3 - 4*x**2 - 61*x - 220. Let d be v(-4). What is the greatest common divisor of d and 1909?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) 1\/3 (c) 1.2 (d) 3\/20 (e) 25.9 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:45 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78, -159, -240, -321, -402?\n\"Answer: -81*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4323057, -4323066, -4323075, -4323084?\nAnswer: -4323093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 + -8392179?\nAnswer: -8392177.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let f(x) = 274*x. Give u(f(n)).\nAnswer: -274*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 139 * 38390\nAnswer: 5336210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8*26\/1664)\/((-3)\/40)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -10 + 26. Suppose 7*b = -m + 2*b - 16, -5 = -l*m + 3*b. What is the nearest to -2 in m, 2\/9, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1569, -1587, -1581, -1539, -1449?\n\"Answer: 2*w**3 - 32*w - 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97 - 82) + (54 - (-4 + -13)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1062195.43 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 (base 10) in base 4?\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 9412 + 24197. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3542*b + 3618*b = 1129132. What is the greatest common divisor of 537 and b?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53872466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**6\/720 + j**5\/24 - j**4\/12 - j**2. Let h(v) be the second derivative of w(v). List the prime factors of h(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100100111011100000 (base 2) in base 14?\nAnswer: -aa932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 6*r**2 - 13*r - 28. What is i(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 13870?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in 0.5, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*z - 6*z + 26*z + (-6*z + 3*z + z)*(-3 + 3 - 1) + (0 + 1 + 2)*(-z - z + 3*z - 2*z + 6*z + 0*z + (-z + 0 + 0)*(0 - 1 - 3)) to c*z + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.135 - -0.135. Let b = 18 + h. Let s = -19 - b. Is -1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439135112 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1489*i + 1593*i + 2 + 11 to the form z + y*i and give y.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.855 - -0.46. Let n = -1.4681 - u. Round n to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63721749471*w**2 + 63721749471*w**2 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276 - 7*v - 276.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + -28 + 14 + 18 + -3 + 7.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -9*k**2\/2 - 7*k - 2. Let v(s) = -5*s - 4. Suppose 0 = 2*d - 155 + 57. Suppose d*t - 55*t + 42 = 0. What is t*v(r) - 4*y(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxzzoqxpqz. Give prob of picking 1 p, 1 g, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558377 is divided by 826.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/70 and -33\/35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -22*l - 24*l + 52*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j + 5. Let l be x(-4). Suppose a = -4*p - 0*a - l, p - 4*a = -14. Is p greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7 + 3 = 0. Is (-6139)\/(-14) - (-1)\/l*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6125 a factor of 1856628375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105.6 + -9.5. Let s = w - -115. Which is the third smallest value? (a) -0.033 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2 + 3652*z - 125370 = 0.\nAnswer: 35, 1791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -52*x - 101. Let u be i(-2). Suppose -u*h + 9 = l, 7 = h - 20*l + 19*l. Solve 2*w = -q + 3*q + 2, h*w = 3*q - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let g(w) = 320*w + 27. Let i(s) = 236799*s + 19971. Let q(c) = -4438*g(c) + 6*i(c). Calculate y(q(x)).\nAnswer: 634*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9111, 18223, 27335, 36447, 45559, 54671?\nAnswer: 63783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19453 and 1115173?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4512 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 10 + -11 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6687*g**5 + 3*g**3 + 730*g**2 - 179267282*g - 1.\nAnswer: -133740*g**3 + 18*g + 1460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19888483?\nAnswer: 1367, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/35 - (-19)\/7. Suppose k*s = y + 4*s - 32, -148 = -5*y - 2*s. Calculate the greatest common divisor of y and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 3 - 4*j + 0)*(26 - 3 + 7)*(0 - 2 + 5) to p*j + i and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240006341 (base 7) to base 13.\nAnswer: 30c13b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9024129 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a6b + -6?\nAnswer: 1a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 12:28 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12538662.\nAnswer: 2, 3, 233, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 7*s**8\/48 - s**7\/10 - 73*s**6\/120 + 17*s**5\/60 + s**4 + 2*s**3\/3 - 7*s**2. Determine d so that x(d) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-36))\/(22\/((-528)\/20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 - 3416*r**2 + 826340*r - 39942400 = 0?\nAnswer: 64, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23175564 (base 8) to base 14.\nAnswer: 95484c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:33 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m**2 - 15*m - 7. Let n be l(-4). Suppose -z - 5*p + 463 = 0, n*z + 4*p = -938 + 3169. What are the prime factors of z?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*i + 85, f = -f - 5*i + 19. Let o(j) = -f*j + 2 - 3 + 21*j. Determine o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 2. Let b be s(0). Suppose -4*x - 4*z = -4160012, -b*x = 4*z - 7*z - 2079991. Round x to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 - 174. Let o = -45231390 - -45231463.999884. Let p = n + o. What is p rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9016*i - 897. What is the units digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -23, -0.4, -3, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*q - 1832, 0*q = 4*w - q - 1828. Let h = w - 642. Let m = 352 + h. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11428379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -744, -1257?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:58 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511196 is divided by 102232.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -12. Is (-35)\/(2 + r + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -11*v**3 + 12*v**2 + 1. Let o be l(1). Solve -20 = -5*d, p - o*d = 46 - 52 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.3525117 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11635, 2990, 42693, 120014, 247493, 437670?\n\"Answer: 2090*f**3 - f**2 - 2*f - 13722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3813 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(1700) + (-6*sqrt(136)*-2 - sqrt(136))\/sqrt(8).\nAnswer: -9*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 561*o**8\/28 - 1479*o**4\/4 + o**2 + o - 10564. Find the third derivative of x(r) wrt r.\nAnswer: 134640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/4248 and -85\/8.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -0.2, -3\/8, -12.5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010011011110010000 - -1101001?\nAnswer: -11101010011011100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1216\/57*(-11)\/(308\/126)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127614*o**2 + 118065*o?\nAnswer: -255228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - n = -4*c + 7, -3*c + 19 = -2*n. Suppose 12*f - 14*f + 40 = 6*f. What is the greatest common factor of c and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n = 0. Let v = 14079.5 + -14080. What is the biggest value in -7\/9, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:37 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -56. Calculate the remainder when 1305\/30 - x\/2 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-45)\/55)\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6945691.\nAnswer: 107, 139, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*x**2 + 8*x**3 - 12*x**3 - 23*x**2 - 8*x + 3*x**3 as w*x**3 + d*x**2 + k + a*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-12)*-167)\/((-1)\/3). Let c = -193 + g. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 190 = -0*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108412?\nAnswer: 2, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14624229, -14624225, -14624221, -14624217, -14624213, -14624209?\n\"Answer: 4*i - 14624233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5172?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 times -0.93?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k = -5*a + 19, 21 = 5*a + k. Let m be -1 - (2\/(-4))\/1. Sort 4\/7, m, a in increasing order.\nAnswer: m, 4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1856 + -1859. Which is the closest to -3\/4? (a) j (b) 1 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329 + -325. Let y = 3.9999952 - g. What is y rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 4*o + 5. Let u be j(4). Suppose -q + 4*q - 111 = u*c, 29 = q + c. Let f = q + -36. Let p(z) = -3*z - 6. Determine p(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*p - 313050, 0 = 2*j - p + 2*p + 208700. Let g = j - -54350. Round g to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -600500 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1031641\/60 + -17193. Let k = y + -29\/4. What is the common denominator of 3\/27*(-34)\/2 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37284236 divided by -9321059?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*r + 35 = 9, -3*r = 4*w + 7. Let z(q) = -29*q + 4. Let i be z(w). Suppose 0*o - i = -2*o. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.156643 + -0.84.\nAnswer: 5.316643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -363*m**2 - 6*m + 6. Let u be j(1). Let q = u - -1807\/5. Which is the fourth biggest value? (a) 14 (b) 2\/17 (c) q (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501681961 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10321183\/5 - 2064236. Factor -48\/5 + 51\/5*s - p*s**2.\nAnswer: -3*(s - 16)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*c - 794, -1613 = -3*g + 5*g + 5*c. Let r = g - -815. Suppose 2*t - 4*l + 16 = 0, t + l = 5*l - 18. Sort t, 5, r in decreasing order.\nAnswer: 5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.17 (b) 1\/2 (c) -2\/55 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 174.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -39, -2\/7, -4, 2 in descending order.\nAnswer: 4, 2, -2\/7, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5 - -2) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**4 + 313816*w**3 + 4707915*w**2 + 17655525*w = 0?\nAnswer: -15\/2, 0, 78469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 33*i**7\/7 + 60*i**3 + 149. What is the third derivative of j(h) wrt h?\nAnswer: 3960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 189. Let z(b) = b**2 - 4*b. Let c be z(5). Suppose 25 = c*k - u. Calculate the highest common divisor of k and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(39)\/(sqrt(9)\/sqrt(3)) + -3.\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 34 + q - 34. Let m(c) = 10*c + 2. Let y(p) = -5*f(p) + m(p). Calculate y(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4829596 divided by 2.\nAnswer: -2414798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/60 - 7*q**4\/12 + 61*q**3\/6 + 17*q**2. Let o be z(6). Calculate the highest common factor of 143 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264176 - 265296 = 28*i for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64 + 2\/(-3)*3)*(-21)\/6. Calculate the greatest common factor of i and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9518, 38060, 85630, 152228, 237854?\n\"Answer: 9514*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*3*1 + (-5*sqrt(266))\/sqrt(7))\/((sqrt(198)\/sqrt(275))\/(sqrt(9) - (sqrt(9) + (sqrt(9) - (sqrt(9) + sqrt(36)\/sqrt(36)))))).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390 by 2.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-48)*12 + 123\/(-26) + 5.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {v: 2, w: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(2000) - (-1*sqrt(2000) + sqrt(2000))) + sqrt(2000)))\/(-1*(2*sqrt(4) - sqrt(4))*-6).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 13*y**2 - 31*y + 5. Calculate v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 268 = -84. Calculate the remainder when h is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 82298*x. Let n(g) = 69*g. Calculate o(n(p)).\nAnswer: 5678562*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3498*y**3 - 20430*y**3 - 4131*y**3.\nAnswer: -28059*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 6. Let m = j + 5. Is 2 + m*23 - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 12:09 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0174355 centuries to decades.\nAnswer: 0.174355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2)*(-29 - 1 + 0)*(18*v**3 - 9*v**3 + 15*v**3) as h*v**2 + i + t*v**3 + j*v and give t.\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81228156 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3726*y + 5025*y - 3259*y + 5285*y to q + v*y and give v.\nAnswer: 10777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5417, 43342, 146273, 346712, 677161?\n\"Answer: 5417*w**3 + w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 423627 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918 and 1038042.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5986074 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 95*i - 16355. Give f(171).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*m - 58, -m - 3*m - 3*n + 54 = 0. Let z(d) = -12 + d + m*d - 53*d - 4*d. What is the units digit of z(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 100*a**2 + 329*a - 1091. Is w(99) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 101*o - 3321 = -4*o + 29*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1897*s = 1894*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8 - 683*a**6 + a**3 + 682*a**6 + 14*a**3 + 4*a**2 wrt a?\nAnswer: -120*a**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1)\/2 + 67. Let h be 4\/(-2) + 0\/(-1). What are the prime factors of h\/4 - (-19437)\/f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (107 + -25) - (-5 - 18)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252) + -4 + 4)**2 + ((sqrt(112)*2)**2 - (sqrt(14)\/sqrt(2) + 0)).\nAnswer: 35*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 1. Let o(c) = -2*c**2 - 3. Let b = 359 + -365. Give b*s(g) - 2*o(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 92 + -196?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -23*b**2 - 24*b - 16. Let g be z(6). Let f = 1518 + g. What are the prime factors of f?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-5 - 56\/(-7)). Is ((-11)\/110*-68)\/((-2)\/g) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 15. Let f be 6\/(-8)*-2*2. Let j = 2 - f. Which is the nearest to 0? (a) j (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -111 (c) -0.3 (d) -0.2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137 and -1546.\nAnswer: 211802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93963732 divided by 4.\nAnswer: 23490933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljlllljlllllljllll. What is prob of picking 1 j and 1 l?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -84, -77, -68, -57, -44?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 8 + 1 - 3 + 12*z - z**2. Is v(7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, o: 1}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*y = 2*q - 43, 1018*q + 2*y - 25 = 1015*q + 4*y for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:12 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nih when three letters picked without replacement from {j: 1, r: 1, i: 1, n: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*t - 36 - 50, -t + 215 = 5*x. Calculate the remainder when 160 is divided by x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122186126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452028 and 1191858?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08763 - 5993767.\nAnswer: -5993766.91237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153357?\nAnswer: 3, 17, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23543 - -41740. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnwn when four letters picked without replacement from nnnwhnw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**9\/60480 - n**8\/2880 - n**7\/560 - n**6\/80 - n**5\/5 - 22*n**2. Let r(m) be the third derivative of l(m). Give r(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d**2. Let w(l) = -105427*l + l**2 + 105427*l. Determine 5*w(a) - y(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02895709331 to 4 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 12 (b) 8\/9 (c) -5\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 41. Calculate the remainder when 57 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801550900?\nAnswer: 2, 5, 8015509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*w + 4, 2*w = 14*x - 19*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 68*f + 6624. Calculate t(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, f: 1, w: 2, e: 4}. What is prob of sequence ww?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/25)\/(4\/30). Let x(u) = -8*u + 49 - 23 - 7*u**2 - u**3 - 28. Determine x(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 119\/42 - 2\/(-12). Let d = -1246 + 1250. Sort 3\/8, d, -5, n.\nAnswer: -5, 3\/8, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*m - 3*m = 57 - 23, 7*m + 194 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x**3 + 14*x**2. Let v(c) = 17*c**3 + 21*c**2. Let o(l) = -247*l + 2231. Let n be o(9). What is n*w(q) - 5*v(q)?\nAnswer: 3*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4517, 16, 3 in ascending order.\nAnswer: -15, 3, 16, 4517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18057 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 - 91*y**2 - 315*y - 133. Give u(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.174 * 0.01\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.033 - -93.033. Let q = 94 - v. Is q <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13746 divided by -49\nAnswer: 13746\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 21 + 27 + -27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 14*c**2 - 4*c - 42. Let s be j(-14). Let f = -35 + 17. Let d = s + f. Let h(i) = -3*i - 4. What is h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5491, -6 in ascending order.\nAnswer: -5491, -14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2425 + -34153?\nAnswer: -41022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n**3 - n - 1. Let d(o) be the second derivative of o**5\/20 - o**2\/2 - 4131*o. Give -d(h) + f(h).\nAnswer: 7*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2. Let r(c) = -48*c**2 - 2*c - 23. Determine r(n(i)).\nAnswer: -192*i**4 + 4*i**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*u + 2*u = -488 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -288*n - 6. Let q be l(-1). What is the highest common factor of q and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-99)\/(-21) + (-2)\/(-7). Let k be (-2346)\/(-36) - (-3)\/((-18)\/1). Suppose -n*h = -30 - k. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from ykyyyyyky.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 774e (base 16) to base 10\nAnswer: 30542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8\/5 (b) -1\/2 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/82659 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49888 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/(-48)*(-8)\/(-42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 29012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0577 + -316.9423. Let d = o - -303.3. Let z = d - -14.49. What is z rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 10:13 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-2*-3 + sqrt(252))\/(sqrt(45)\/(sqrt(80)*2 + sqrt(5))).\nAnswer: 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 4808*x**2\/5 + 2682394*x\/5 - 253388036\/5.\nAnswer: 2*(x - 82)*(x + 1243)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.8478 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2.5, 64\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/60 + b**2. Let s(m) be the second derivative of m**4\/3 + 3*m. Give n(s(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - a + 1. Let d(s) = -1051*s**2 - 772*s - 1. Let q(n) = d(n) + 2*i(n). Find the second derivative of q(u) wrt u.\nAnswer: -2110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:34 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + z = 2*z + 14, -2 = -2*z. Suppose 3*l - 50 = -4*p, -4*l + 75 = l + o*p. Calculate the highest common divisor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5232*t - 7. Let k(o) = 2614*o + 3. Calculate -14*k(h) - 6*z(h).\nAnswer: -5204*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*o + 104*o + 11802. Is 144 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -4.7. Let x = 0.3 - k. Let z be 6\/2*(-3)\/(-21). What is the nearest to x in z, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 28, -w - 2358*v + 14 = -2354*v. Which is smaller: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = -59 + 93 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 s when three letters picked without replacement from {s: 5, e: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48766 and 47249?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 5:59 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288745*z - 144355*z - 3060 = 144354*z for z.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044636, 4178555, 9401754, 16714233, 26115992?\nAnswer: 37607031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11643545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - 3*q)*(-7549 - 3897 - 326 + 1668 + 1234 - 5556).\nAnswer: 43278*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -568 - -1675. Suppose m = l - 793. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6853221 (base 9) to base 3\nAnswer: -20221210020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, f: 7, w: 5, y: 1, z: 2, e: 1}. What is prob of picking 1 z and 1 y?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhhhahaaqaah. Give prob of picking 2 h and 2 q.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = -2*q - 2, -4*q = -4*c + 36. Factor -6*a + 6*a + 0 - 4 + c*a**2.\nAnswer: 4*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.217864 and 26.\nAnswer: 26.217864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*l. Suppose -z + 3 = -y, 5*z - 11 = -2*y + 3*y. Let r be (2 - l) + 14*z. Solve 5*t + 5*s - r = 0, 0 = -4*t + s + 3 + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186793850?\nAnswer: 2, 5, 149, 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 872\/5*y - 82\/5*y**2 - 792\/5 + 2\/5*y**3 = 0.\nAnswer: 1, 18, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59048 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n - 2. Let g be q(4). Suppose -5*i + 68 - 43 = 0. Solve -2*x - 12 = 4*f, 3*x - 27 = -g*f + i*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(272) - sqrt(272) - sqrt(272)) + 1 + sqrt(272))**2*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001777 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-22)*(-12)\/288*-6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -3 + 4 - (16 - (135 + -11)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(2\/13)\/p)*p*p*(p**(-1\/8)*p)\/p*p*p**1\/(p\/(p*p\/(p*(((p*(p\/(p\/p**(-6))*p)\/p)\/p)\/p)\/p))) assuming p is positive.\nAnswer: p**(1531\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4196573ml to litres.\nAnswer: 0.0004196573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.072, 2\/3, 14, -26 in ascending order.\nAnswer: -26, -0.072, 2\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15471023.\nAnswer: 107, 144589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 16.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-10 - 1 - (520 - 531)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2 - -1) - (-292 + 296).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - z - 1. Let h be a(2). Let l be 0\/1 - h\/(-6). Let b = -184154 + 184150. Sort b, 0.2, l.\nAnswer: b, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.484091 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**3 + 5*t**2 + 113*t + 548. Determine r(-5).\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 5 + f)*(162 - 162 + 77*f)*(8*f + 2*f**2 - 8*f).\nAnswer: 462*f**4 - 770*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18587.42 nanoseconds in milliseconds?\nAnswer: 0.01858742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*p + 1245*p - 620*p.\nAnswer: 1385*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42, 72, 94, 102, 90?\n\"Answer: -q**3 + 2*q**2 + 31*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 5*x = 34, x + 24 = 9 + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 3*q - 4*q + (3 + 2*q - 3)*(-1 - 2 + 1) - 2*q - q + 2*q - 2*q + 4*q + q - 1 + 2*q + 1.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 29200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30718.9 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*a + 1, -27*a + 22*a = 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.65 - 0.35. Let l = k + 27.1. Let r = -0.2 + l. Is r > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -39*x**3 - x**2 - 2*x - 16. Let j(g) = 59*g**3 + 2*g**2 + 3*g + 25. What is -5*j(h) - 8*z(h)?\nAnswer: 17*h**3 - 2*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 8640971?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + w + 16. Suppose 4092 = -4*r + 3*j + 1419, 2679 = -w*r + 5*j. Let c = r + 1916. Round c to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = 481*r - 486*r. Suppose 0 = -94*v + r*v - 316746. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 12) in base 6?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 10:47 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*x + 29*x - 18*x)*(-2 + 2 - 4*x + (-2*x + 0*x + x)*(0 - 6 + 4))*(3 + 0 - 1).\nAnswer: -128*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2261964 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (sqrt(68) - (sqrt(68) + 1)**2))*1 - ((-6*2*sqrt(425) - 4*(1*sqrt(425) - sqrt(425)))**2 + -5).\nAnswer: -61405 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-10\/17)\/((r*((r*r**1)\/r)\/r)\/r*(r\/(r**(-1\/2)*r))\/r) assuming r is positive.\nAnswer: r**(11\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -97*m + 10. Let s(o) = 194*o - 23. Let z(w) = 15*h(w) + 6*s(w). What is the tens digit of z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(4\/5)*c*c**(-8))\/(c**(1\/5)*c)**(2\/19) assuming c is positive.\nAnswer: c**(-411\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -288.849915 to 1 dp.\nAnswer: -288.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 11*u + 3*r + 14, -5*u + 4*r + 17 = 0. Solve -u*n - 5 = t - 15, 3*n - 4*t - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 344157895146.\nAnswer: 344157895146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(131*m**3 - 782 + 782 + (-3*m**3 + 3*m**3 + 2*m**3)*(3 - 4 + 3) - 2*m**3 - 3*m**2 + 3*m**2 + m**2 - m**3 - m**2).\nAnswer: 264*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/58193824)\/(1\/(-39470)). Let n = j + 3\/18968. Let v = n + -68245\/4602. Calculate the common denominator of 81\/8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - -0.4. Let g = m + -0.8. Let k = 50 + -54. What is the closest to 1 in g, 3, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -138, -141, -152, -177, -222?\n\"Answer: -j**3 + 2*j**2 - 2*j - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881137797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.1 and 6816.2555.\nAnswer: 6819.3555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 83, 129, 175, 221?\n\"Answer: 46*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13656 and 2552?\nAnswer: 4356264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9566709cm to meters.\nAnswer: 0.009566709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 13542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 664\/(-6) - (-2)\/(-6). Let v = 206 + u. Suppose 24*c + 24*l = 26*l + 896, 2*l + 22 = c. Calculate the highest common divisor of c and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 + o. Let u(x) = -6*x**3 - 13*x**2 + 15*x + 12. Let y(s) = -u(s) + 5*v(s). Let k be y(-9). Let l = -1 - k. Solve -2 = -2*j + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4204198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/5))**(2\/47)\/((i\/(i*i**(4\/5)))\/(i\/i**3*i)))**19)**(-1\/4) assuming i is positive.\nAnswer: i**(969\/940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 365885 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9917 + 1?\nAnswer: 9918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16646521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 9798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3 - 47*g + 93*g - 46*g - 10*g**2 wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240))\/(sqrt(12)*4 - sqrt(3)).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1010000010001011010010 (base 2) to base 14\nAnswer: 4c6826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 13 in ascending order.\nAnswer: -6, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142449 is divided by 364.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 + 31*z**2 - 23*z**2 - 5*z**2 - 10*z**2 - 7*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:04 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*b - 119*b + 37062. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3145*i + 137565. Determine w(-44).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 13 = 2*i - 5*s, 0 = 3*i + 2*s - 29. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z + 3*z + (-1 + 1 - 1)*(-5*z + 3*z + z))*(z - 4*z + 2*z)*(-4 + 4*z**2 + 4).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 13169850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 31*m - 115 = -c, c + 455 = 4*m. Calculate the least common multiple of m and 152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/((-33)\/9) - 4861. Let o = q + 72904\/15. What is the common denominator of 1\/5 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(7\/2))\/(u\/(u*u\/u**(-25))*u*u))\/((u*u*u**(-20)*u)\/u**17))**(-50) assuming u is positive.\nAnswer: u**(-3175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 431 from -92625.39.\nAnswer: -93056.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6815 - 6955 = -10*z. Solve -23 + 51 = z*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1520 divided by 666\nAnswer: -760\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l + 5. Let r(z) = -10*z - 9. Determine 5*f(u) + 4*r(u).\nAnswer: 5*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 404*a**2 - 385*a + 3423. Give n(-201).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1112, 1059, 1006, 953, 900?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3268.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 - 3 + 10*d + 5 + 10*d - 5*d to r*d**3 + x + q*d**2 + b*d**4 + m*d and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2378 * 0.4.\nAnswer: -0.49512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1022 = 2*n + n, -4*o = -3*n + 1018. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.0613 - 17. Round x to 3 dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2871 + 12280. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0 - 1\/3*q**4 + q**3 + 2*q**2 + 1\/60*q**5 + 0*q. Determine t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 3*o**2 + 4*o - 1. What is the remainder when i(-3) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-2263029\nAnswer: -1357817.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (2 - (-3)\/(-3)). Suppose 0 = 2*z - 4*j + 4, -z + j - 10 = -i*z. What are the prime factors of (z - (5 - 2))*-11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 6353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -189946.28 times -0.4\nAnswer: 75978.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 971539 + 971539.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.6202 to two decimal places.\nAnswer: -6.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 - -0.03. Let v = 0.13 - 0.03. Let p = -13\/186 + -3\/31. Which is the third biggest value? (a) p (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -37. Solve b*w - 14 + 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9595.834 millennia?\nAnswer: 9595834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a**3 - 19600*a**2 - 278426*a - 258804 = 0. What is a?\nAnswer: -13, -1, 9954\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16715861 and 4374244?\nAnswer: 468044108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 2022?\nAnswer: -2019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o. Let h(c) be the second derivative of c**3\/6 + 198*c**2 + 421*c + 5. What is h(m(k))?\nAnswer: 6*k + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-8))\/1*-2. Let u(x) be the first derivative of 0*x**3 - 1 - x**2 + 5\/4*x**4 + x. Determine u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.95 - 48.85. Which is bigger: -4.415 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*q + 228214 - 228213 - 62*q - 4*q**3 to z*q**3 + p + m*q**2 + f*q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*k - 606 = 206. Let j(r) = -r - 12. Calculate j(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 873544 and 304?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5974533 rounded to 3 decimal places?\nAnswer: 0.597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434269095 by -86853819.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 0.5 (c) -0.3 (d) 1 (e) 60698 (f) 2\/511\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2. Let o be ((-172)\/12)\/((-3)\/9). Let u = o - 25. Let m(v) = -18 + 9*v - 13*v + u. Give m(r(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4588\/888)\/((-2)\/12)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4)*(5*m**2 - 5*m**2 + m**2)*(10 + 107 + 6).\nAnswer: 738*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (2 - 3) - -2. Let q(p) = -p**2 + 9*p + 2. Suppose 0 = 2*m + 2*m - 8. What is the smallest common multiple of m and q(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10220918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24648632 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 42 = -3*g. Let j be 62\/(-6)*36\/(-12). Suppose -j*x + 25*x = -756. What is the greatest common divisor of x and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -36.397 to 0 dps.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uke when three letters picked without replacement from ewumeemmmeuemmkee.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 41*h - 210 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(400\/30))\/((-2)\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 869 = -3*l, -2*p = -0*p + 2*l - 346. Suppose 214*f + 310*f - 23415 = -145*f. Calculate the highest common factor of p and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 83?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 + d + 1. Let z be 4 + (-2)\/4*0. Let f be s(z). Let j = 11 - f. Solve 0 = 2*c - 4 - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 10*s**3\/3 + s**2 - s - 26521. Let b(x) = -4*x**2 + 2*x**2 - 4*x**2 - x**2. Calculate y(b(r)).\nAnswer: -140*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1 + (-1)\/1. Suppose 5*n + 8 - 38 = w. Does 7 divide n + 2*2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 20*c + 33. Suppose -13*t = 97 - 370. Let l be s(t). Suppose 119 = -l*z + 539. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**4 + 2*c**4 + 0*c**4 + (-27 - 30 - 47)*(c**4 + c**4 - c**4) + 2*c**4 + 3*c**4 - 4*c**4 as w*c**3 + k*c**2 + z + o*c + v*c**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 334, 3\/8, -0.3, -1.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, -1, -191, 2 in descending order.\nAnswer: 2, -1, -191, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59336593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:32 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.58 + 6.68. Let x be (-1 - (-2)\/(-14)) + 1. What is the closest to x in t, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**3*x**3 + 2*s**3*x - 2*s**3 + s*x - 409*x**3 - 11 wrt x?\nAnswer: -24*s**3*x - 2454*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f. Let g(y) be the third derivative of -37*y**4\/24 - 9194*y**2. Give i(g(z)).\nAnswer: -259*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 276\/(-84) + (-2)\/4*-6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = -2*s, 0*s + 4*i = 3*s - 18. Suppose -s*p + 25 = -p. Let m = 1046 + -1031. What is the highest common divisor of m and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -621?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 14*p**2 + 9*p - 4. Let j be g(-12). Suppose -q + 94 = 5*z, -q - q = -2*z - j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -12726347?\nAnswer: -12726333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(1*sqrt(147)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 + -187.1. Is a less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-225)*-15*(-30)\/(-153)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 562*w + 62408. Determine a(-112).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 703*j - 747*j + 3 in the form x + p*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 13 + 11. Let y = 17 + k. Solve -2*q - 8 = 5*f + 9, -5*f - y = -4*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 4*u - u - u**4 + (8*u**4 + 29*u**2 - 29*u**2)*(-1 + 4 - 1) - 2*u**4 - u**4 + 5*u**4.\nAnswer: 17*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -109, -13387 in ascending order.\nAnswer: -13387, -109, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2664 + 2663. What is the third biggest value in 1\/6, 21, 1\/2, q, -7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 4*v - 3. Let m(f) = -f + 12. Let j be m(9). Let k be t(j). Let w = -16 - -142\/9. Which is the nearest to k? (a) 0.5 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 2*k**3 - k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 2*h**2 - 6*h - 5. Let a be w(-3). Is 22 a factor of 0\/(a + -3) - -66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**4 - 104*u**3\/3 + 36. Determine c so that n(c) = 0.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 53 = 4*q - 44, 0 = -k + 5*q + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -10, -4, -17, 0.5, -2\/21 in descending order.\nAnswer: 0.5, -2\/21, -0.1, -4, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**3 + 25*o**2 - 22*o. Let p(v) = 5*v**3 - 25*v**2 + 20*v. Let j(s) = -3*h(s) - 2*p(s). Factor j(k).\nAnswer: -k*(k - 1)*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, -4, 4, 1, -108, 6 in increasing order.\nAnswer: -108, -21, -4, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31347 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1007507269*f**4 - 635012080*f**2 wrt f.\nAnswer: 24180174456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 88. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-3) + -4 - 0. Let w be 1 + (0 - (-2)\/2). Let d be w\/4*6\/3. Is c >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 298.32111 months?\nAnswer: 0.0248600925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 441 - 99. Suppose -71*n + 62*n + t = 0. Solve r + r + 6 = -n*b, -40 = 5*b - 4*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 3*c + 4. Let u(h) = -2*h - 3. Let m(n) = -3*u(n) - 2*x(n). What is the derivative of m(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25\/44 + -9\/11. Is -97 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 37. Suppose -z = z - 8. Suppose -z*r - f = -r. Let h(i) = -i**3 - 4*i**2 + 5*i. Give h(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1387693 times 28?\nAnswer: -38855404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(4\/9))\/y)**39)**(1\/29) assuming y is positive.\nAnswer: y**(52\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 12*l**2 - 34*l - 219. Let i be d(-13). What is the highest common divisor of i and 5454?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 4. Let f be q(2). Suppose -3 = -5*h - f. Which is the smallest value? (a) h (b) 0.04 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 1 + (-2 - -5). Suppose j*g = -2*g + 16. Solve 0 = 5*i + g*q + 41, 4*i + 2*q + 24 + 4 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(105)\/(sqrt(30)\/sqrt(6)))\/(sqrt(63)*2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13.97367 weeks?\nAnswer: 2347.57656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -0 - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, -5\/3, 5\/1539, 1\/2, -0.1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = 0. Let z = f - -3. Let r(g) = 1 - 2 + 0 - 6*g - z. Let d(h) = h + 1. Calculate -4*d(a) - r(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10. Let q(s) be the first derivative of s**2\/2 - 9*s + 7532. Give 5*b(h) - 6*q(h).\nAnswer: -6*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10067640 and 65\/56?\nAnswer: 70473480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3\/5 + 3216*h**2\/5 - 6441*h\/5 + 3222\/5 = 0.\nAnswer: -1074, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -423752*x**3 + 1127*x**2 - 1127*x + 1127. Let d(b) = 1127*b**3 - 3*b**2 + 3*b - 3. What is 1127*d(v) + 3*g(v)?\nAnswer: -1127*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2102120130 (base 4) to base 3\nAnswer: -1010110110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617580131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 2*x + 31 + 2*x to f*x + d and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - 160\/(-54)) + -1)*(-4)\/(-2 + 6)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 5*n + 4*c - 16, -28 = 4*n + 3*c for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32986711607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82357807 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3) - 3 - 49\/(-21).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 474 and -27.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2002 = 2*h + 2*h, 0 = -4*h + 5*j - 1990. Let w = 86 + h. Let i be w\/(-21) + -2 - (-2)\/7. Is i at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 11. Let i(g) = g**2 + 4*g + 5. Let m be i(f). What is the units digit of ((-2)\/4)\/((-5)\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -5494 (b) 2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000356 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 100*i - 593. Calculate q(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 0*q**2 + 2*q - 4 - 1\/4*q**4 + 5\/3*q**3. Is v(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let d(u) = -3*u - 1. Let o be d(-3). Let w = o + -5. Sort x, 4, w in ascending order.\nAnswer: x, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + 45. What is the remainder when n is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**3 - c**3 - c**3)*(-5*c + 5*c + c**2) - 2*c**5 + c**5 - c**5 - c**5 - 3*c**5 - 11*c**5.\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1435*q - 1266. Is a(35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/42 and -56\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12)*3*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 63531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6481.1 + -69218.9. Let r = w + 75602.071. Let s = r + 98. What is s rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-8\/7)*x))\/((x\/(x**(-10)*x))\/x) assuming x is positive.\nAnswer: x**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 111*g. Let v(j) = -7*j + 23. Let p be v(3). What is the hundreds digit of k(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-871)\/208)*-2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.211 + 134.211. Let a = b - 133. What is the closest to -0.1 in 2\/3, a, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2)*(0 + 2 - 1)*(-7*h + 3*h + 0*h) - 31 + 7*h + 31 to u*h + l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132803704 + 77803?\nAnswer: -1132725901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3124+14\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) 1\/186 (c) 2\/327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/18 and ((-10311)\/(-60))\/7 - 3\/(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 315056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*15.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -781\/8 - -777\/8. Which is the nearest to t? (a) 3 (b) -0.16 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - -44.97. Let g = k - 83. Let b = g + 38.4. Put 5, b, 0.3 in descending order.\nAnswer: 5, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*p**4 + 30*p**3 - 945.\nAnswer: -40*p**3 + 90*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4101, 4155, 4193, 4209, 4197, 4151, 4065?\nAnswer: 3933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93087 by 1.\nAnswer: 93087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -177346, -3, -4, 0, -2, 25 in descending order.\nAnswer: 25, 0, -2, -3, -4, -177346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 252\/(-630) + -23*(-2)\/255 and -13\/165.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6)*(-8)\/10. Let a(g) = -g**3 + 8*g**2 - 8. Let r be a(8). Let i be 3 - (0 - r)\/2. Is i bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpt. Give prob of sequence tt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-20)\/275)\/(4\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 12*b**2 + 12*b + 15. Let r be j(-11). Solve -r*v + 20 = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 41150925 - 41150925. Let o(s) be the first derivative of 4*s**3\/3 - 3. Give w(o(a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 9) to base 3\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*j = 3. Suppose n - 4 = -2*x, 20 = -x - j*x + 5*n. Suppose x = -3*f - k + 295, 220 = 2*f + k - 5*k. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130910 divided by -13.\nAnswer: 10070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 163, 325, 487, 649?\n\"Answer: 162*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 1, y: 1, u: 1, b: 2, k: 1}. What is prob of picking 1 n, 1 u, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049114221 rounded to 6 decimal places?\nAnswer: -0.004911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*f**2*k**3*t + 2804*f**2*k**2*t + f*k**3*t + f*t + 2*f - 35*k**3 - 3*k**2*t wrt f?\nAnswer: -14*k**3*t + 5608*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -254, -530, -916, -1412?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 496135071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410744789 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) 2\/1219 (b) -40 (c) 3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1597*n - 33514. Determine q(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40188 + 40210. Suppose -114 - 326 = -4*m. What is the highest common factor of m and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 45*v - 128. Suppose 3*u - 24 = -5*k, -v*k = -5*u - 16 + 19. Factor -2\/13*b**5 + 0*b + 0 - 2\/13*b**4 + 2\/13*b**2 + 2\/13*b**k.\nAnswer: -2*b**2*(b - 1)*(b + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/2)\/(20\/(-48)). Let o be (24\/6 - c)*(-9)\/2. Let i be 2 - (1\/1 + -1). Solve -i*w + o = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7 + c + 3*c - 3*c. Is v(8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/30)\/((-3)\/5). Let v be 0\/((-8 + 9)*6\/o). Solve v = 4*j + 13 - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240273542?\nAnswer: 2, 120136771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -245671000 rounded to the nearest one million?\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:52 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51251, -51226, -51201, -51176?\n\"Answer: 25*d - 51276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26520629 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0091001689 rounded to five dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 7*d**2 - d - 3635. Let w(g) = -14*g + 1. Calculate 2*n(y) + 3*w(y).\nAnswer: -14*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1288, 0, -5, 9, 6 in descending order.\nAnswer: 9, 6, 0, -2, -5, -1288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, 24, -4 in decreasing order.\nAnswer: 24, 12, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/24 - 565*q**3\/18 + 615. Factor d(l).\nAnswer: l**2*(l - 565)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/4 + 43305*o\/4 - 71317125\/2 = 0.\nAnswer: 5085, 9350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 230149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19900\/2388*6\/40.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) -591 (b) -0.29 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407982590?\nAnswer: 2, 3, 5, 7, 163, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3740 - 116 = 0. Does 57 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 - 81*f + 88. Let d(n) = n**2 - 1. Let p(m) = 4*d(m) + r(m). Factor p(z).\nAnswer: -3*(z - 1)*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d + 1. Let r(x) = 4*x**2 + 6*x - 5. Let n(o) = -r(o) - 3*t(o). Calculate n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200570238?\nAnswer: 2, 3, 11, 1012981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191576 is divided by 6580?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -37 - (-53 + 36 + -13).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Let v = 21.8 - 26. Let p = y + v. Sort 4, 0.2, p in decreasing order.\nAnswer: 4, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -515, -514?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y + 2*y**2 + 119966864 - 119966866 + 24*y.\nAnswer: 2*y**2 + 36*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 304331832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqu when three letters picked without replacement from oquqooouotoottqot?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmmzmzmimmizm. What is prob of picking 2 z and 2 m?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -5\/3, -138, -5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11572746 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127447093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -2) + 4\/94. Suppose -20*c + 21*c = 0. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 40*h + 52. Calculate j(40).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m + 13. Let i(p) = -2*p - 7. Let s(v) = -5*i(v) - 2*w(v). What is the least common multiple of s(0) and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 4. Let j(h) = -h**2 - 4*h + 6. Let f(l) = -l**2 + 1. Let w be f(0). Let k(i) = -1. Let m(g) = w*j(g) + 6*k(g). Let t be m(-2). What is z(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 92 = 60 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 13}. Give prob of sequence qcc.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*k + 2*k. Let w = k + 28. Solve -5*u = -t - w*t + 5, -3*u = 2*t + 23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/4 - 43*l + 525\/4 = 0 for l.\nAnswer: -175, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/36*(-2420)\/55?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59025 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 113237216 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 720\/(-34) + (1157 - 1176) - -40.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*a + 81 = -0*v, 0 = 4*v - 4*a + 320. Let y = v - -82. What is the third derivative of -14*z**y + z**2 + z**2 + 3*z**2 - 13*z**3 wrt z?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/(-2376)*18 + (-17948)\/(-22) is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 1104?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -10\/3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2615 and 2616 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820426 a multiple of 604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.2 in -2\/5, -20, 0.02?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -510 > -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.421 + -0.121. What is o rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 19*x**2 + 2*x + 41. Let h be b(-19). Let k be 2 - (0 - 1\/1). Suppose -k*z = 4*j - h*j - 25, j - 22 = -4*z. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.33, -9, 25?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r + 3350 = -3226 + 7661 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5 + 23\/5*n**4 + 12\/5*n**2 - 8*n**3 + 0 + 0*n = 0.\nAnswer: -6, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1\/120*f**6 + 0 - 1\/15*f**5 + 3*f**2 + 0*f + 5\/24*f**4 + 1\/3*f**3. Let a(g) = -2*g**2 + g + 1. Let j be a(2). What is q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10314 - 10313. What is the second biggest value in 4, 681, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3527714 is divided by 143?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiil when four letters picked without replacement from iiilliii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473374, -1893448, -4260226, -7573708, -11833894?\nAnswer: -17040784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = p, 5*p + 0*m - 45 = -5*m. Let v(g) = 2*g**2 - 11*g + 16. What is the least common multiple of v(6) and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(-3*sqrt(720)*2)**2 + -1).\nAnswer: 777606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 5*k**2 + k - 5. Suppose -4*s = 11*s - 240. Suppose s*u - 2*u = 70. What is r(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - t = -20700, -144*z - 3*t = -141*z - 12420. What are the prime factors of z?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-28)*-2 + (-146 - -150)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8178338 divided by -5\nAnswer: 8178338\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117788 is divided by 39035.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -148*(-2)\/32*4. Suppose 21*j + 6432 = r*j. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -11*k**4\/24 + 59*k**3\/6 + 16*k**2 + 2. Let n be h(5). Solve n*g + 12 = 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + (1 - 12) + (2 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 4\/3 (d) 2\/9 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-15) + 3\/5. Let f be -4 + 3 + (1 - -2). Calculate the highest common divisor of f and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/4290 and -3\/880.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.4 + -31.40027. What is n rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 706961\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 - 11 + 999*g + 987*g - 1995*g. What is v(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/35863840 or 0?\nAnswer: 1\/35863840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.1. Let b = 2\/421 - -1255\/1684. Sort b, x, 2 in descending order.\nAnswer: 2, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 - 6*m. Let l be p(1). What is the first derivative of 34 + 98*q + l + 24 wrt q?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-243)\/63) + (-2 - 4)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*q**2*r - 2*q**2*y - 13*q*r*y + 3*q*r + 130*r**3*y - 138*r**3 with respect to y.\nAnswer: -2*q**2 - 13*q*r + 130*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 3*n**2 - 9*n**2 + 2*n**2.\nAnswer: -10*n**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.7981 and 0.3.\nAnswer: 5.93943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**4 - 2*y**2)*(-1 + 1 - 3*y)*(3 + 1 - 3)*(4 + 1 - 3)*(-9 + 3 + 2).\nAnswer: -48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 3*i + 57. List the prime factors of i.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 44, 107, 186, 275, 368?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*z - 18 = 0, l + 5*z + 29 = 4*l. Let p(y) be the first derivative of y**4\/4 - 2*y**3\/3 - y**2 + 2*y - 144. Calculate p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, i: 1, v: 1, m: 4}. What is prob of sequence iv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u**(-8))\/u))**(-4\/9)\/(u**15*u)**(-2\/47) assuming u is positive.\nAnswer: u**(-1216\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4262*p**3 - 126*p + 1936681.\nAnswer: 12786*p**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 2 = -12*h. Let n(v) = -v. Let u(f) = -2*f + 2. Calculate h*n(j) + u(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 87 = -h - 0*h, -57 = 3*x + h. Let s = x + 28. Let k = s - 6. Solve b = -4*b - 4*y - 10, 2*b = k*y - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*a - 6, -5*a + 2*z + 0*z = -4. Let s = a - -24. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - (14 - 14) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h - 15. Let s be i(-11). Let l = s + -104. Solve -l*n + 7*n = 2*j - 22, -3*j + 19 = -4*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/4 + 18451*p + 221421\/4 = 0. Calculate p.\nAnswer: -3, 73807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4)**(2\/21) assuming z is positive.\nAnswer: z**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 8*z**2 - 9*z. Let l be g(-7). What is the greatest common factor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -241? (a) -3\/8 (b) -1075 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*l + 2*l. Suppose -20 + 4 = -8*n. Suppose -l*p - n*p = -20. Solve 3*q = -2 - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105877433693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315490?\nAnswer: 2, 5, 7, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/17 (b) -6 (c) 2\/5 (d) 0.5 (e) -270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2 + 174*d - 71. Let p be g(29). Which is greater: p or -1754?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*n - 5045, 4084 = 4*l - 29*n + 33*n. What is the greatest common factor of l and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n**(2\/3)\/n)\/n*n*n)*n**3*n*n\/(n*n*n\/(n\/(n*n\/(n*n**(2\/3)*n)))*n)*n**(-4)*n)**(-40) assuming n is positive.\nAnswer: n**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*g - 3400 = -g, -8 = 2*g. Let b = 25 + f. Suppose 2*o = -o + b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 + -0.1541?\nAnswer: -341.1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2203033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2033451 divided by 7\nAnswer: 290493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7148, -18860, -30572, -42284?\nAnswer: -53996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 26*h + 29. Let k be f(27). Suppose -89 + 231 = k*c. Calculate the remainder when 280 is divided by c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50739510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1258365*p**2 + 1258364*p**2 - 1 - 1 + 224*p in the form h + l*p**2 + q*p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 117 = -13 - 86 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 199, -618, -2031, -4028, -6597?\nAnswer: -9726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 7, 168, 1400?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740768?\nAnswer: 2, 3, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 + 26 = 0. Suppose 3*g - w*v = 42 + 40, 3*v - 23 = -2*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378481739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1718520 by 10.\nAnswer: 171852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9051658 divided by -53.\nAnswer: -170786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**42)\/(u**(-2\/7)\/u))\/(u**(-12))**24 assuming u is positive.\nAnswer: u**(1738\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -504472, -2019099, -4543478, -8077609?\n\"Answer: -504876*t**2 + t + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 212, -2, -3, 4, 2 in descending order.\nAnswer: 212, 4, 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-624) + (-2)\/143)*(-5 + 3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a8 (base 12) in base 9?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -286 - -789. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4958, -11153, -21472, -35909, -54458, -77113, -103868?\n\"Answer: i**3 - 2068*i**2 + 2*i - 2893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 7, -0.1, 5 in increasing order.\nAnswer: -6, -0.1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(5*u - 2*u - 5*u) + 0*u + 0*u - 3*u + (-1 - 5 + 4)*(0*u + u - 2*u) + (-3 - 2*u + 3)*(13 - 8 - 1).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 7) + 10 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -0.3 (c) -4\/9 (d) 0.1 (e) -4 (f) -3\/2 (g) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 1 (c) 1.652 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(sqrt(19) + -2*sqrt(190)\/sqrt(10)).\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9)*15\/2. Suppose -5*t = 4*j + 35, 73 = -b*j + 3*t - 17. Let l = 135\/8 + j. What is the common denominator of l and -35\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/45 and 52\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(1862)*-4)\/(((sqrt(2) - (-2*sqrt(2) - sqrt(2)))*4 - sqrt(32)*2)*-6).\nAnswer: 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4)*1) + sqrt(33)\/(sqrt(3)*5))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 11983631.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718 + 70 = -k - g, 0 = -2*k + 5*g + 1310. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1, 164, -7 in decreasing order.\nAnswer: 164, 4, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(72)\/sqrt(300) - sqrt(6)) + -2*(-1*sqrt(2) + -3))*3*4.\nAnswer: 9*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/26040 and -17\/789408.\nAnswer: 856507680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, o: 3, j: 1, i: 1}. What is prob of sequence pio?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1000708060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270 - 215. Let t(n) = -121 + z + 62 + n. Determine t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 180 = -26*j. Let r(h) = -h**3 - 8*h**2 - 14*h - 7. Let m be r(-6). Sort j, -3, m in increasing order.\nAnswer: j, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 80 + 1\/4*l**5 - 4*l**4 + 91\/4*l**3 - 49*l**2 = 0.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -109863?\nAnswer: -2\/36621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(8*a + 9*a - 3*a)*(4*a**2 - 4*a**2 + a**2).\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 2, r: 1, i: 3}. What is prob of sequence ikr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + (-10)\/18. Let x be 56\/60 + -2 + 184\/2760. What is the nearest to t in x, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.171 - 0.298. What is s rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**2 - 69*u + 1. Let w(x) = 13*x**2 - 138*x + 2. Determine -5*j(h) + 3*w(h).\nAnswer: -h**2 - 69*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzmzmupzvzmpzz. Give prob of picking 1 u and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20304 and 3888?\nAnswer: 182736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129124230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**5\/60 + y**4\/24 + 2*y**2 + 4. Let b(a) be the second derivative of v(a). Factor b(w).\nAnswer: -w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 12*f + 13. Let r be m(11). Suppose -4*z + 98 = 2*p, 4*z - 7*p = -2*p + 105. Suppose -3*v + z = r*v. What is the biggest value in 0.3, v, 4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 13 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495823690 a multiple of 3852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -5*n**8\/8 - n**5\/4 + 19*n**4\/4 - 3*n - 33. What is the third derivative of k(j) wrt j?\nAnswer: -4200*j**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280052233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585542 is divided by 146351.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 8\/20 + (-396)\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 5*b + 92, 2*w + 4*b - 88 = 0. Let s be (3 - w\/4)\/(19\/(-13)). Let y = 1989\/304 - s. What is the common denominator of y and -34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35749076 by 1364.\nAnswer: -26209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/2467 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1550, 5152, 10834, 18596?\n\"Answer: 1040*i**2 + 482*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 70*r - 84. Suppose 144 = -4*p - c, c = -0*c + 4. Is 8 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {g: 4, h: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 523*l - 266*l - 242*l - 135 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1420039, -1420038, -1420037, -1420036, -1420035, -1420034?\nAnswer: -1420033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 71843890*d + 1290386132583025.\nAnswer: (d + 35921945)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a week in seconds?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*v + 233*v + 44 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, j: 9, m: 3}. Give prob of picking 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 12 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let m(p) be the second derivative of p**7\/2520 + 23*p**4\/12 - 19*p. Let h(z) be the third derivative of m(z). Give h(i(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/((8\/10)\/(-4)). Let g = -130 - a. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40444*h - 40445*h - 2*x + 6 = 0, 2*x = 5*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 = -7*r + 8*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/216*(-2)\/4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -4.54\nAnswer: 1.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1027547 hours to minutes.\nAnswer: 6.165282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4119b2 (base 13) to base 2\nAnswer: 101110010100000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37103303?\nAnswer: 37103303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-42)\/(-24) + (3 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78589189453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (839*c**2 - 839*c**2 + 59*c**3)*(1 - 2*c - 1 + (-1 - 2*c + 1)*(1 - 3 + 0) + 0*c + c - c - 8*c).\nAnswer: -354*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-750)\/(-3375))\/((-12)\/15 - (-1456)\/1995)\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*q + 3*v, v + 20 = -3*v. Suppose q*k - 5 = 1. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 519154*n**5 - 287*n**4 - 776347*n - 536 wrt n?\nAnswer: 10383080*n**3 - 3444*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8 + 9\/6. Suppose -40 = -3*h - h. What is the smallest common multiple of ((-16)\/h)\/(b\/(-20)) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 8*d**5 + 7*d**4\/4 + 13*d**2 + 19*d - 36. What is the third derivative of r(p) wrt p?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-17\/3)*(((c**(-37)*c*c)\/c)\/c)\/c*c**20\/(c\/c**(2\/19)) assuming c is positive.\nAnswer: c**(-1286\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 10 + 3)*(5*l - 1 + 1) + 141*l + 44*l - 38*l to the form k*l + x and give k.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 1, -0.1, -1310?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276591336.\nAnswer: 2, 3, 7, 1646377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.4 + 42.4. Let y(w) = -w**2 + 7*w - 1. Let q be y(7). Which is the closest to -1? (a) -2\/3 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 399*((-2)\/2)\/9*(256\/(-112))\/16?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7920)*2*6)\/(-5*4*sqrt(99)) + 1.\nAnswer: -12*sqrt(5)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) 0.1 (d) -85\/8 (e) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -29. Let h be (-1)\/(-3) + 15\/q. Find the third derivative of 9*p - p**4 - 9*p - p**h wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 - 3710*l**3 - 29935*l**2 - 48720*l - 22500 = 0. Calculate l.\nAnswer: -6, -1, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65318200 to the nearest integer?\nAnswer: 8082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 24 = -0*y + z, 0 = -4*z + 16. Suppose -y*u - 5*u = -567. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:52 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:23 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 12:21 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(132)\/(-2*sqrt(12)) + (sqrt(220)\/sqrt(5) - sqrt(11) - sqrt(11))*5.\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53676 and 1136?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 12*r**2 - 11*r + 10. Let k(y) = y**3 - y**2 - y. Let f(u) = -a(u) + 3*k(u). Give f(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179695 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 4*j**5 - 5*j**5 + (61337*j - 126484*j + 73002*j)*(0*j**4 + j**4 + j**4).\nAnswer: 15709*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 986561 at most as big as 986572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**4*y*y**(2\/43)*y*y*(y\/(y**(-1\/5)*y)*y)**46 assuming y is positive.\nAnswer: y**(13598\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11935440787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -212.9337 + 213. What is z rounded to 3 dps?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.8 + -23. Let i = h + 6.2029. What is i rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -642556, -643735, -644914?\n\"Answer: -1179*o - 641377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 498332 and 50571236?\nAnswer: 6308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/20*85\/102 - -2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15069 - -15060.531. Let n = 8.4 + c. What is n rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)*f**(-2\/11))\/(f\/(f**(-7\/3)*f)*f\/(f*f**(-4))))**1 assuming f is positive.\nAnswer: f**(-281\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 11*y + 14. Let d be k(10). Suppose 6*z - d*z - 6 = 0. What is the first derivative of -5 - a**4 - z*a**4 - a**4 + 0 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r + 0*r = 0. Suppose 0 = 2*u - 4, r = -4*w - 2*u + 7*u - 2. Find the second derivative of -14*h + 7*h + 28*h - 13*h**w + 12*h wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Suppose g*r - 5*r - 2 = 0. Let o(n) = -2*n - 1. Determine o(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-141 - 1) + (29 - -10) + -26 - (1 - 4)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4663*z - 4640. Let u be y(1). Let l = 0.1 - -0.4. Which is the third biggest value? (a) -0.1 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25589 + -16676. List the prime factors of m.\nAnswer: 3, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -415726?\nAnswer: 13\/415726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1655 or 1?\nAnswer: -6\/1655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19596*r + 470342. Determine u(24).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebj when three letters picked without replacement from {b: 2, j: 8, e: 8}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.320136ms to hours.\nAnswer: 0.00002342226","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -8.81?\nAnswer: -29.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 33*u + 8. Let b(d) = 11*d + 3. Suppose 19*p = 32*p - 104. Calculate p*b(x) - 3*i(x).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(-2\/31)\/(x**(2\/3))**11 assuming x is positive.\nAnswer: x**(-685\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4261 = 9*s - 4981. Solve -s*p + 372 = -18*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -29. Suppose -3*k - j = -8*k. Let n(p) = 2*p**2 - 4*p - 14. Is n(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (216\/(-90))\/(6\/15). Let i be q*(28\/12 + -1) - -2. Let k(f) = 13*f**2 + 6*f + 6. Let g(j) = 196*j**2 + 91*j + 91. Calculate i*g(a) + 91*k(a).\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-252)\/8)\/7*296\/555.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5835 + 11.4879702.\nAnswer: 10.9044702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -4 (c) 0.5 (d) 0.3 (e) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -89154 at most as big as -89154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -185 - -191 - (1 - (1 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26319457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64929900 and 2058.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-84)*1043\/(-5215).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -51. Let s = p + 22. Let a = s - -12. Which is smaller: a or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -105b6 - -1a?\nAnswer: -1059b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/40166 + -4766\/70631911. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 5*i + 3*i)*(8 + 1 + 3 + 7).\nAnswer: -76*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*l - 10813, 3*b + 2 - 14 = 0. List the prime factors of l.\nAnswer: 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**3 - 1621*h**2 + h + 1621*h**2.\nAnswer: 13*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7012, 6467, 5558, 4285, 2648, 647?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4095\/4, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6505 and 8660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - 3) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 199, 4\/7, 2\/53 in increasing order.\nAnswer: 2\/53, 1\/5, 4\/7, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w + 6 = 0. Suppose -w*c + 21 = -6. Solve -4*q + c*q = -2*f + 21, -q - 3 = -2*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -12, -18191*v + 18190*v - 8 = 3*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/15, 0.122, -240, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4630 and 7.81.\nAnswer: -36160.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7827 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*d**3\/7 + 123828*d**2\/7 + 639509256*d\/7 + 6382715760\/7 = 0. Calculate d.\nAnswer: -10314, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 43 - 122 = 0. Does d = 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoooooooozzzoooozz. What is prob of sequence ooz?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12089 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u + 20. Let s be p(-3). What is the first derivative of -s*j**4 + 26 + 6*j**4 + 12*j**4 wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - d**2 + 2. Let o be a(0). Suppose -2*q = -2*n + 12, o*n - 3 = -n - 2*q. 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 cth term of -5, 3, 11, 19, 27?\n\"Answer: 8*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**5 - 12*h**4\/5 + 8*h**3\/5.\nAnswer: -4*h**3*(h + 1)*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 3. Let j be t(-6). Let l be 2 + (-5)\/(15\/j) - -24074. Suppose b - 2*n = 8400, -n + 1127 + l = 3*b. What is b rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/3437 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 - 386 = -3*t. Let z(p) be the second derivative of -1\/20*p**5 - 7\/12*p**4 - 2\/3*p**t - 8*p + 3*p**2 + 0. Determine z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-14)*p*p\/p**(-1\/2)*(p\/(p**(-12)*p))\/(p\/p**(-3\/7)))**(-2\/105) assuming p is positive.\nAnswer: p**(-407\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 1246696864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2. Let g(x) = -3*x**2 + 4*x - 37. Let i(y) = 2*y**2 - 2*y. Let k(p) = g(p) + 2*i(p). What is k(s(q))?\nAnswer: q**4 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t - 727*t**3 + 182*t**3 - 5 + 184*t**3 + 185*t**3 + 178*t**3 in the form h + j*t**2 + u*t**3 + w*t and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Sort -13793, 4, -10.\nAnswer: -13793, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 5*x + 42509, -2*t - x = x - 28342. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*c = 192. Let s = -17 + c. Calculate the greatest common factor of s and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + z**5 + z**5 + (2*z**3 - 2*z**3 + 2*z**4)*(-2 + 2 - 2*z) - 14*z**2 + 14*z**2 + 9*z**5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*o**6 + 30443*o**4 - 4*o**3 - 2*o**2 - 244*o - 597?\nAnswer: 1320*o**3 + 730632*o - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -22) + (107 - -12) + -208?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -13. Let w(m) = -4*m - 5. Let c(f) = 3*f + 4. What is x*c(n) - 4*w(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -14, 0.78, 0.11?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14446585925 and -2.73.\nAnswer: -14446585927.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/1)\/((-10)\/(-2045)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18620 = d - 9*d + 84628. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l. Let f(j) = -369029*j**2 + 197*j. Determine f(c(t)).\nAnswer: -3321261*t**2 + 591*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 3\/7, -0.3, 182\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2)*-1)\/((-432)\/144).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185*c**2 + 278 wrt c.\nAnswer: -370*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 195 = 9*i. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - d = -2*y - 11 - 6, -6310 = 16*d - 6390 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5600) + 6*(sqrt(5600) - (sqrt(5600) - -3*sqrt(5600))) + sqrt(5600))\/(sqrt(64)\/(sqrt(32)\/sqrt(4))*-3).\nAnswer: 160*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 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: Is 23622839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42746?\nAnswer: 2, 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 7. Let q be a(-6). Suppose 0 = q*n - 34*n + 75. Solve -6 = -k + n*j, -k - 12 = k + 2*j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 4 + -10 + (-8 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6*w + 5. Let h be d(-5). Let i = 13663 + -13614. Let u = i - h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + 2*w + 1. Let a be f(-1). Let r be (a - 4\/8)*2. What is the derivative of -7*k + 4*k + r + 6*k wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 46*i - 211. Determine m(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 + 2*g + 3. What is s(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - -91. Let b = d + -873\/7. Sort b, -3\/11, -2 in increasing order.\nAnswer: -2, -3\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:32 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303587353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*l - 63*l + 28*l)*(14 + 25 - 19)*(l**2 - 2*l**2 + 5*l**2) in the form g*l**3 + o*l + y + t*l**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - (sqrt(121) - 1*sqrt(121))) + sqrt(121) + sqrt(121))*-1)\/(2*(sqrt(99) + sqrt(11))).\nAnswer: -3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-54)\/45) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2591205 (base 10) to base 5\nAnswer: -1130404310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74510.\nAnswer: 2, 5, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*(94\/(-14) - -7). Let g(c) be the first derivative of 2\/5*c + 0*c**x - 12 + 2\/25*c**5 - 4\/15*c**3 + 0*c**2. Factor g(h).\nAnswer: 2*(h - 1)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4181563604 to the nearest integer?\nAnswer: 64665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*a**4 + 101*a**2 - 3*a.\nAnswer: -7080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - 176. Let z = r - -260. Let l(k) = k + 6. Let i be l(-4). Solve 2*y + i*y = -2*b - z, y + 9 = -b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602190673.\nAnswer: 7, 113, 139, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-4*o - o + 3*o) - 8*o - 2*o + 4*o + 0*o + 0*o + o + (-1 + 2 - 2)*(-2 + o + 2).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxrxxxrxxxrlxxjlxjlj. What is prob of picking 1 x and 1 l?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.13 - -0.13. Let f = -0.05 + 0.25. Sort f, v, -0.2 in ascending order.\nAnswer: v, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70447?\nAnswer: 13, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -4, -12, -7, -2823 in decreasing order.\nAnswer: 3\/4, -4, -7, -12, -2823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-19233)\/(-4) - (2 + 15\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1161, 1147, 1143, 1155, 1189, 1251, 1347?\n\"Answer: x**3 - x**2 - 18*x + 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/2217 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 48*h = 4*f - 432, -f + 132 = -5*h. What is the greatest common factor of 371 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 31582 = 31442 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -4) + -5 - (0 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19684\/(-13357) - (0 - (2 + 0 - 0))\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -3. Suppose 2*l - v*l - 52 = -3*w, 2*l + 4 = 0. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22*u. Let l(o) = 2*o. Let w(i) = 6*i. Let s(h) = -8*h - 76. Let r be s(-11). Let c(m) = r*l(m) - 5*w(m). What is c(t(x))?\nAnswer: 132*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113323101120 + 120?\nAnswer: -113323101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.8646182 - -51.8646122. Let k = r + -48. Round k to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.3 (c) -0.031 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2282*c - 37 = -2*d - 2279*c, -4*d + 15*c = -29 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 24 = -21. Suppose 5*g + 20 = q*g. What is the third derivative of -11*k**5 - 4*k**2 + 4*k**g - k**2 wrt k?\nAnswer: -420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 1. Let r be f(-1). Let g be -1*(0 + 0) - (-85)\/17. Put g, -1, r in decreasing order.\nAnswer: g, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7671, 7662, 7653, 7644, 7635, 7626?\nAnswer: 7617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466447283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g. Suppose -2*c + 4*n + 4 = 2*n, g = -3*n + 9. Suppose -2*l + 51 = 2*l + p, c*p = -l - 11. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 409 + -379. Let u be (1 - 5\/(-10))\/(9\/h). Solve -5*f = -u*k, -2*f = -3*k + 1 + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9*10*12\/10. Suppose -377 = -a + 5*w, g = 5*w - 6. Let u = -266 + a. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/2 + 49360*t**4 - 2435125925*t**3\/2 - 31680531205*t**2 - 234004320960*t - 351027810576 = 0. What is t?\nAnswer: -12, -2, 49373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:49 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 286 = -2*q, -3*m - 3 = -0. Suppose -21 + q = 6*l. Let t = -5 + 9. Calculate the least common multiple of l and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -958, -3807, -8550, -15187, -23718?\n\"Answer: -947*g**2 - 8*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104548\/39 - 2681. Find the common denominator of w and -99\/8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, 21.8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*i + 63 + 73 = 0, 0 = 4*w - i - 277. What is the greatest common factor of 46 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/45168 and 139\/6842952?\nAnswer: 13685904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let q = l - 7. Let w = 5 + q. Is w at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 13*b - 25. Let k = 538 - 537.7. What is the closest to k in b, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 15. Let s(r) = 2*r - 3. Let n(j) = 2*a(j) - 11*s(j). Let q = 29 - 27. Determine n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 7 + 20. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 + 6*x**2 + 0 + 1 - 4*x**2 wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - d = 158, 2*d = -3*f + d + 122. Suppose -3*z = -8*z + f. What is the smallest common multiple of z and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 21. Let t = 0.417 + -0.017. Let u = 1 - 0. Which is the second smallest value? (a) t (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 44, -1\/14, 0.1.\nAnswer: -1, -1\/14, 0.1, 0.2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -182477.\nAnswer: -1\/182477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*22 - (-5 - -7). Solve 0*u + a = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 2*c**2 - 12*c**3 + 29*c**3 + 2*c + 25 - 15*c**3 in the form z*c**2 + t*c**3 + x*c + d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*y + 76, 2*y = 3*l + 17 + 16. Suppose 0 = 4*v + 2*q - y, -2*q - 3*q + 15 = v. Solve 5*c + 2*h - v = -23, 2*c + 24 = -5*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951766?\nAnswer: 2, 89, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59516 + -59516.1. Let t = 0.84 + -1. Let i = t + -7.84. Which is the third smallest value? (a) i (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-134938)\/(-20) + ((-507)\/130 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42910174840 - -1\nAnswer: -42910174839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 4, k: 1, z: 2, d: 1}. Give prob of picking 1 k and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37804 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 8 = 4*i. Calculate the greatest common factor of 46 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 11:42 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3240, 6501, 9784, 13095, 16440?\nAnswer: 19825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 6*d = 8*d + 12, 2*n + 2*d - 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q**4 - 37*q**3 - 82*q**2 - 7*q. Let f(n) = -3*n**4 - 12*n**3 - 27*n**2 - 2*n. Let u(v) = 14*f(v) - 4*r(v). Factor u(x).\nAnswer: -2*x**2*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 4. Let z be q(5). Suppose 4*s + z = 13. Suppose 2*h - 5*i - 30 = -0*h, 4*i + 31 = s*h. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-1 - -5)*1\/(-3). Let u = 3 + o. Solve b + 1 = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let n(l) = -6 + 3*l - l**y + 13 + 10*l**2 - 13 - 5*l**2. Determine n(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/(-5) - 102\/30)*-149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**4\/24 - 5*v**3\/6 + 26*v**2. Let b = 48 - 30. Let k = b - 14. Give i(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-16))\/(((-66)\/(-12))\/(-11))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 264 and -0.5.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21054 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 179990952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41455787 to the nearest integer?\nAnswer: 6439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 102113332?\nAnswer: 102120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3140*n*o**3 - 136*o**3 - 51*o wrt n?\nAnswer: 3140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 2798*m - 331*m + 19 in the form b*m + w and give b.\nAnswer: -3129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upy when three letters picked without replacement from pypaukw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 840\nAnswer: -1\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729602083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/119234962 and -117\/812504.\nAnswer: 476939848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 40033 - 12321. List the prime factors of t.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/20 + 1417*t**4\/6 + t**3\/3 + 1053*t**2\/2 - 6270*t. What is the second derivative of v(m) wrt m?\nAnswer: -6*m + 5668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17806 times -53?\nAnswer: 943718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 9 = 43*o - 40*o, 5*o - t - 15 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**12)**(4\/19) assuming s is positive.\nAnswer: s**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1240 and 143\/90.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0 + 0*u**2 + 0*u**4 - 1\/10*u**5 + 4*u - 1\/6*u**3. Find the second derivative of m(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 1826 = 2*b. Let r be 4\/28 - b\/14. Put -3, -2, -1, r in descending order.\nAnswer: r, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 4:34 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from dzwbbbzxzdwwwzwbwbz?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 12. Let q(g) = -g**2 + 7*g + 3. Let l be q(m). What is the closest to 0 in l, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245.60205 - -251.602. Let w = 6 - g. Round w to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {h: 12, w: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 112530768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416) - 3*2*sqrt(416))\/(sqrt(288) - 2*sqrt(288)))\/((3*sqrt(80))\/((sqrt(40)*-1)\/sqrt(8))).\nAnswer: -5*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2659\/2 + -4060\/3. Find the common denominator of -7\/5 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1. Let p(b) = b**2 - 3*b + 1. Let s be p(0). Let c(o) = 5*o. What is s*c(t) + 2*r(t)?\nAnswer: 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 13)*3\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36808598*w**3 - 2875635*w**2 - 2*w - 3?\nAnswer: -220851588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 2. Let y(f) = 3*f + 2*f**2 + 3*f - 4*f**2 - 2 - 3*f. Let t be y(2). Put v, t, 2 in descending order.\nAnswer: 2, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -13. Determine z so that 2*z**4 + x*z - z**3 - 3*z**2 + 4*z**3 - 6*z + z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.052 + -0.13. Let u = n + 16.778. Let j = -17 + u. Put 0.2, -2, j in descending order.\nAnswer: 0.2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.27?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 2185\/52. Let x = 8 - 61\/3. Calculate the common denominator of x and n.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2469 + -1653. Calculate the greatest common factor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2236.23 * -21.97\nAnswer: -49129.9731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b7 (base 12) in base 14?\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - l - 2*l - 223, -l - 5 = 0. Calculate the greatest common divisor of 65 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 40209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2115.567 - -2116. Which is the third smallest value? (a) 0 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1) + 1\/(-3)*-9. Let n = 0 + j. Find k, given that -87*k - 93*k + 5*k**n - 20*k**4 + 185*k + 30*k**3 - 20*k**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b4 (base 16) to base 9\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-13) + 18\/(-117). Let a(l) = 6*l**2 + l + 1. Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-3)*0)\/(-1))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd81 - 83?\nAnswer: dcdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 19 (b) -7 (c) 1\/3 (d) 1\/7 (e) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 114.\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -3, 17, 55, 117, 209, 337?\n\"Answer: f**3 + f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1600, -5, 1893 in descending order.\nAnswer: 1893, -5, -1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0163 and -0.07 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:27 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -50\/3. What is the second biggest value in x, -0.3, 3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 10:36 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence att when three letters picked without replacement from {t: 8, m: 2, o: 1, u: 5, s: 1, a: 3}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 1049*i**9\/504 - 431*i**5\/30 - 677*i**2. Find the third derivative of d(z) wrt z.\nAnswer: 125880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241612.9 litres in millilitres?\nAnswer: 241612900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 2*u + 2. Let f be l(-2). Let z(g) = -12*g - 5 + 7*g + 6*g. Give z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 divided by -7?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/8 - s**3\/2 + s**2. Let j(b) = -16*b - 16. Suppose 2*q + 3*q + 10 = 3*f, 3*q - 2*f = -6. Calculate q*j(z) + 11*g(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17 = -0*u + r, r = -5. What is the remainder when 39 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -73 and -649.\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -164*t - 11147. Let v be q(-68). Which is the fourth biggest value? (a) v (b) 4 (c) 38 (d) 3\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 19*v - 48. Let r(o) = 2*o**2 + 6*o + 13. Let q be r(-2). Let x be l(q). What is the highest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*y + 59 wrt y?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6220, -12394, -18570, -24748, -30928?\nAnswer: -37110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 3, f: 1, n: 1, j: 1}. Give prob of sequence fwww.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/3 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/5512 and -79\/113360?\nAnswer: 6008080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (6 + (-4 - -4) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/165 and 62\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*x**2 + 3 - 3)*(-3 + 0 + 0) + 2*x**2 + 3*x**2 - 4*x**2 - x**2 - x + x + (-x - 3*x + 2*x)*(x + 2*x - 5*x) to the form n + u*x**2 + k*x and give u.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*p**4 + 37 - 33*p**4 + 63*p**4 + (-p**3 + 3*p**3 - 4*p**3)*(-3*p + 0*p + p).\nAnswer: 6*p**4 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 9) in base 16?\nAnswer: -f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -211022201222?\nAnswer: 211022202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -228, -1895, -6420, -15231, -29756, -51423, -81660, -121895?\n\"Answer: -238*b**3 - b**2 + 2*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 9 = -4, h - 5 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 41) + (93 - 62)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 6*d + d)*(-2 - 3 + 3)*(1 - 1 + 2*d)*(0 - 6 + 3) + (-10*d + 40 - 40)*(-83*d - 8*d + 15*d).\nAnswer: 736*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4256.6 + 109.\nAnswer: 4365.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 272a8 (base 11) in base 15?\nAnswer: b824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -26*a**3 - 745*a**2 - 1232*a - 480. Let z(t) = 5*t**3 + 149*t**2 + 246*t + 96. Let m(v) = -2*q(v) - 11*z(v). Factor m(u).\nAnswer: -(u + 1)*(u + 48)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-880)\/(-99) - (4 - -4)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -30. What is the remainder when 12 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001400967094 rounded to seven dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 66 - (-13 + 15 + 63).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1139 <= -337405\/296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*(-722)\/(-8) - (-6)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = v - i, 0 = -6*i + i + 20. Let t = 2 - -2. Solve 8*a = -2*x + 3*a - 28, -t*a - v = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*q + 10, l + 3*q = 8*q + 19. What is the units digit of (5 - 1 - 8)\/(l\/(-64))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 76*y + 773. Let s be t(12). Put s, -7, -1, -2 in ascending order.\nAnswer: -7, -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p = -40*p - 1780. Suppose -p = -j + 5*m - 4*m, j + 2*m - 350 = 0. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010749303 rounded to seven decimal places?\nAnswer: 0.0001075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3\/20 (c) -2\/29597 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26389 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -1. Let z = -49.09 - 0.91. Let d = z + 50.2. What is the closest to -0.1 in 3\/2, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 f when four letters picked without replacement from {g: 2, f: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 1. Let v be o(3). Let q = v + 26. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38714, 36224, 33710, 31160, 28562, 25904?\n\"Answer: -2*r**3 - 2476*r + 41192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9056912 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51474 and 4140?\nAnswer: 1544220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*z**3 - 90127*z**2 + 476200*z - 128700 = 0. What is z?\nAnswer: 2\/7, 5, 12870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7661 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/997 - -1009\/5982. Which is the nearest to 1? (a) -5.6 (b) j (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjkjkjkkjkjkjkj. Give prob of sequence kkj.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*f - 105*f + 51 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let w(p) = p**3 - 2*p**2 + p. Let l be w(g). What is the highest common divisor of l and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -384*h**2 + 109*h + 10. Calculate o(1).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1464473, 1464467, 1464461, 1464455, 1464449?\nAnswer: 1464443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6907.269 nanograms in micrograms?\nAnswer: 6.907269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3379 = 5*y + r - 7841, 5*y + 3*r = 11210. Let x be (-1)\/(-6) - y\/(-30). What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 + 90*l**2 + 92 + 14*l**2)*(0 + 2 - 1) to k + r*l + x*l**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-1))\/((-5)\/(-15)). Find the second derivative of -84 + 168 - i - 84 - r*i**2 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/121 and -82\/99.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148174 + 2.316.\nAnswer: -148171.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 78836?\nAnswer: -23650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -6, -22 in decreasing order.\nAnswer: 2, -3, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1482 rounded to one decimal place?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-6))\/((-1)\/6). Calculate the remainder when 110\/8 - d\/(-60) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/60 and 61\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2252 - -0.23. Round l to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a centimeter in millimeters?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 6*j**2 - j - 2. Suppose 2*x = 5*x - 2*o + 12, 27 = -5*x + o. What is the lowest common multiple of r(x) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231808 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3434 and 656702?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/43832196 and -7\/4.\nAnswer: 43832196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(125) - (0 + sqrt(125))) - -3*(2*sqrt(125) + sqrt(125) - sqrt(125))) + (0 + -1*sqrt(125))*3.\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15055692?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1479231, 6, -0.3, 4, -4?\nAnswer: 1479231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:40 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -161.35434559 to the nearest integer.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*l - 3*s - 94, 4*s - 124 = -2*l. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 2, h: 1, a: 2}. Give prob of sequence hr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + x**4 + x**4)*((-x - 2*x + 4*x)*(-1 + 4 + 1) + 2*x + 2*x + 3*x).\nAnswer: 22*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 times -0.91\nAnswer: -0.02548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7500)\/270)\/25*(-36)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10253 - -4803.\nAnswer: 15056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -14372*d + 43134. Determine p(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z + z**2 - z**2 + 1 - 4. Suppose 4*j + 3*s - 3 = 0, -2*s - 1 = 5. Give l(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 + 4 + -5 + -1 - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(3) + -1.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -71. Let g(u) = u**2. Let z(t) = t**3 - 4*t**2 - 9*t + 9. Let y(c) = i*g(c) - z(c). Find o, given that y(o) = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-15)*(-3 - -2). Let n = 0.7 - 1. What is the closest to -0.1 in n, p, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/k)\/k*k**3*(k**1)**(-24\/11))**(2\/43) assuming k is positive.\nAnswer: k**(-136\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 85?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -270. Let w be 3\/(-2)*(-566)\/t. Let z = w - 3845\/342. Find the common denominator of z and -83\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.3. Let g(s) = -s**2 - 25*s - 112. Let n be g(-6). Let t = -0.3 + -0.7. What is the nearest to t in 1\/5, n, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252963 and 31509.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*o - g + 73, 0 = 4*o + g + 34. Let r(t) = 17*t + 203. What are the prime factors of r(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/62 and 20\/31.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 = 0, -2*z + 2*u + 6 = -u. Let b = 97 - 883\/9. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/w)\/w*w\/((w*w\/(w\/w**(-5\/2)))\/w*w)*((w**(-21)*w)\/w)\/w**(-19) assuming w is positive.\nAnswer: w**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3\/3 + 1). Let w(o) = 3*o**2 - 3*o + 2. Let j be w(z). Suppose -6*r + 204 = -j*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1, 1\/3, -5 in ascending order.\nAnswer: -5, -1, 1\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**(3\/8)\/k)\/k)*k\/(k**5*k))\/(k**(-2)\/k**1) assuming k is positive.\nAnswer: k**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**3 + 18 + 11*m**3 - 21 - 3*m**2 + 2*m + 4*m**2 in the form c*m + u + t*m**3 + z*m**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k - 67. Let l(m) = -8*m - 3 + 0*m + m**2 - 1 + k*m. Calculate the remainder when l(-11) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t - 5. Let u be m(6). Let l = -1019 + 968. Let j = l + u. Calculate the smallest common multiple of 3 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b - 147. Determine q(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 + 8*y + 13. Let t(k) = -19*k**2 + 35*k + 56. Let i(s) = 26*d(s) - 6*t(s). Calculate i(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34574 is divided by 17278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -17*q + 247. Let u(p) = 11*p - 169. Give -5*t(m) - 8*u(m).\nAnswer: -3*m + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((8 - -12) + (-62 - 1)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + (0 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 9*y - 5. Let r be 5\/(5\/3) - 8. Let x(u) = 3*u**2 - 3*u + 8. Let b be x(r). Let t be (-42)\/b - 90\/(-14). Give z(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**4\/12 - 24*p**2 - 11*p - 59. Let z(v) be the first derivative of t(v). Let x(m) = -m**2. Determine z(x(c)).\nAnswer: -c**4 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3368 is divided by 3258.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 1. Is 6 a factor of m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, 2 in descending order.\nAnswer: 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 646204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 11. Solve 3 + x = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6385*c - 7316*c + 11176*c + (2 + 3 - 4)*(3*c - 7*c + 2*c) + 0*c + 2*c + c in the form h*c + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100, 101, 102, 103, 104, 105?\n\"Answer: u + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(3*y**4 + 4*y**4 - 6*y**4) - 4*y**2 + 4*y**2 + 2*y**4 + 217*y - 217*y + 61*y**4.\nAnswer: 64*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11296 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -5)\/((-2)\/(-3)). Let x be (0 - s\/(-3)) + 12. Solve -2*q = -4*y - x, -5*q + 4 + 3 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-25)*(-27)\/(-6) + 22?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 8 - (-32 - -19)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 45?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 436 + -420. Let q(s) = s**3 - 17*s**2 + 18*s - 1. Let a be q(x). What is the highest common factor of 713 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100010?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/4224 and 53\/849376.\nAnswer: 10192512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -39836067.\nAnswer: 5\/13278689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 18*r + 20 = -u, 2*u - 4 = -r. Solve 0 = 4*l - 5*f - 41, 5*f = -r*l + f - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.5 and -338842.\nAnswer: 3896683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (4 - -66)\/7. Let v = 0 + 27. Solve -x*g = -3*l - v - 3, 0 = l - 3*g + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-10))\/((-5661)\/22644))\/((-924)\/(-10))\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 3*p**2 + 3*p**2 + (-4 + 2*p + 4)*(7*p - 4*p - p) + (-2*p - p + 4*p)*(-3*p - 3*p + 14*p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 greater than or equal to -402\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 x, and 1 j when three letters picked without replacement from {x: 2, a: 3, d: 4, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57463 = 88*p + 12495. What is the highest common divisor of 28 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - -1 - 15\/((-1680)\/(-742)). Is 5 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1350*m**2 + 70*m - 197442 wrt m.\nAnswer: 2700*m + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.664 minus -0.16043318?\nAnswer: -0.50356682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 1:24 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155 != 4155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113 + -0.43.\nAnswer: 112.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 8:48 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2282\/3 or -761?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 7*n**2 - 6*n - 4. Let a be v(-6). Let d be 19*2\/(a\/(-6)). Suppose 4*k + d - 145 = 0. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 y, and 1 s when three letters picked without replacement from {e: 3, c: 2, s: 3, y: 12}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Let d = 18 - m. Let x(v) = -2*v + 13*v**2 - 11*v**3 + 2*v + 0*v**2. Let i(c) = 5*c**3 - 6*c**2. Give d*i(t) + 6*x(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 3*b**2 + 4*b + 1. Let w be (5 - 1)*-6*(-1)\/6. Let f be x(w). What is the closest to f in 0.01, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120050943 and 267.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*n**3*t**3 - n**3 + 781*n**2*t + n**2 + 77*n*t**3 - 8*t**3 + 2 wrt t?\nAnswer: -42*n**3*t + 462*n*t - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/11820 and 113\/84.\nAnswer: 82740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 25*z - 9475. Suppose -z + 397 = f. What is the greatest common factor of f and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Let d be l + -2 + 1 - -2. Let x = 8 - d. What is the least common multiple of 10 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*d*f*s - 2*b**2*f**3*s - 33*b*d*f**2*s + b*d*f*s + 2*d*f**3*s - 70*d*f**3 - 2*d*f*s wrt f?\nAnswer: -12*b**2*s + 12*d*s - 420*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d. Let w be 1\/3 - (-4)\/6. Let k be f(w). Solve 5*r + k = 4*t, -3*t - 12 = t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/180 + x**5\/30 - x**4\/12 + x**3\/9 + 9*x**2. Factor y(d).\nAnswer: -2*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2. Let q(i) = -2694905*i. Give f(q(a)).\nAnswer: -7262512959025*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:08 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2542996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, -730, -1102, -1480, -1864?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 23563?\nAnswer: 23555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 20 = 2*w + 3*w, 5*w = 46*x - 26*x + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.33, -564, 2\/17, -3.5 in decreasing order.\nAnswer: 4, 2\/17, -0.33, -3.5, -564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*l**3 - 1504 + 1504)*(-l - l + l) - l**4 + 0*l**4 + 0*l**4.\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -2 - (-402 + 424)) + 25\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*l - 5, 5 = 8*j - 9*j + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (-117 - -122)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 3193232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96257 or -96281?\nAnswer: -96257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4825*a + 4793. Determine t(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 4, -1, 47, -19 in ascending order.\nAnswer: -48, -19, -1, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*c**3 + 4*c**2 - 4*c**2.\nAnswer: 98*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60 and -21?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -110 (c) -0.3 (d) 5 (e) 7\/93 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 7*h**5\/30 - 7*h**4\/24 - 3*h**3\/2 - 15*h**2. Let k be s(-4). Let v = -137 + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -953*q**2. Let b(r) = -r - 14. Let v(l) = -2*l - 21. Let y(x) = -3*b(x) + 2*v(x). Give y(d(u)).\nAnswer: 953*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -149\/3. What is the closest to -2\/7 in -1\/2, 3, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2 + 123*c - 1530 = 0.\nAnswer: -51, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 630997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 7*x + 1. Let n be j(0). Which is the closest to n? (a) 3 (b) 1\/2 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-41 + 11) - (2 + -22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 319.\nAnswer: 16588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2\/13, -0.04, 30?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v - 5*v**3 - 6*v + (-v**2 + 3*v**2 - 4*v**2)*(5*v - 3*v - 3*v) + (14 - 14 - 2*v**2)*(v + 6*v - 5*v) as s*v + n*v**3 + c*v**2 + u and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1*10 + -1). Let h = 62 - 61.5. What is the smallest value in l, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 - 114. Calculate the remainder when k is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 160*k**2 - 9*k - 14. Let u be v(-2). What is the greatest common factor of u and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -173, -169, -163, -155, -145, -133?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -41 = -3021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 14 - 10107*u + 6.\nAnswer: -10107*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 4*g - 4*g)*(2 - 1 + 1) - 4*g + 3*g + 17*g + (2*g + 3*g - 3*g)*(0 + 0 + 1) as v + z*g and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 229676, 459361, 689046, 918731, 1148416?\n\"Answer: 229685*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k + 12 = 0. Let b be 4 - k\/12*0. Find the second derivative of 3*w**b - w + 4*w**4 - 2*w + 15*w wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -572187 (b) -6 (c) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1113900 to the nearest ten thousand.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172551*p*x**4 + 3*p*x**2 - 3*p - 1859*x**2 + 2 wrt x?\nAnswer: 4141224*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most -2597335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1788 - -1788.24. Sort g, 4, -1, 3.\nAnswer: -1, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1341445 is divided by 461.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, o: 1}. Give prob of sequence xv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.134 - 1.134. What is the nearest to i in 1\/4, -2\/11, 1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 1223593836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50687 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 81293 + 1 + 2 + -1. Let x = v - 215003. Let q = -5133708 - x. What is q rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -635*q**5 + q**3 + 14*q**2 - q + 34967 wrt q?\nAnswer: -12700*q**3 + 6*q + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.067 + -0.127. Sort p, 5, 0.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2669 = -2*j - 15*j. Let m = j + -130. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n + 670. Let f = 451 - n. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -8105?\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526497460 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - (-44 - (-20 - 45)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 5) in base 9?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75621)\/(-28)*(-8)\/(-45) - (-8)\/(-60). What is the highest common factor of 680 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37536373 divided by 60251\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1\/3, -4, -6060, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 251\/3 - (-6)\/(-72)*-4. Calculate the greatest common divisor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -69 + 66. What is the nearest to f in 5, -1, -2\/7, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 1 + 1 + (565*q - 1853*q + 679*q)*(3*q + q - 2*q).\nAnswer: -1220*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371107 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385484*c**3 + 192735*c**3 - 4*c + 192747*c**3 + 15*c.\nAnswer: -2*c**3 + 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 2*l + 17 + 2\/3*l**3 + l**2. Give z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 114, 464, 1048, 1866, 2918, 4204?\n\"Answer: 117*h**2 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3521767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(7\/3))**2*(b\/(b**(-14)*b))**(-1\/18) assuming b is positive.\nAnswer: b**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 + 126. Which is the biggest value? (a) d (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39310 is divided by 848?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 2. Let m be c(7). Suppose -5*y = -m*l + 7116170, 2*y - 5*y + 2846493 = 2*l. Let g = l + -793239. Round g to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + h + 562 = 0, -4*j + 9*j - 553 = 4*h. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 55921551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1194342 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 26027 = 8732. List the prime factors of h.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -1 + -5 + 2223\/399?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4404*k - 127087 - 220829 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 572 - 214. Let l = 746 - q. List the prime factors of l.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*k = -66 + 212 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1174*k + 49312. Let o be f(-42). Let -352*y + 128\/5 + 1792*y**2 + 2744*y**o + 4802\/5*y**5 - 3920*y**3 = 0. What is y?\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19250046 is divided by 2962.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -88805080\/11 at most -8073188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + w**2 + 1 + (-1 - w**2 + 1)*(0 - 1 - 1) - 2*w + 2*w + 2*w**2 - 6*w**2 + 4*w**2 + 3*w**2 - 1 + 2*w.\nAnswer: 6*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 109\/261, 3?\nAnswer: 109\/261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -80.1 (b) 177\/7 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 1}. What is prob of picking 3 e?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1232, -2, -11, 3, 26 in descending order.\nAnswer: 26, 3, -2, -11, -1232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/300 - 17*d**5\/300 - 19*d**4\/60 - d**3\/2 + 2574*d**2 + 2. Solve q(f) = 0.\nAnswer: -5, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1938, -12923, -31232, -56865, -89822?\n\"Answer: -3662*v**2 + v + 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 + -761\/3. Let d(j) be the first derivative of -t*j**3 - 4 - j**2 - j. Factor d(s).\nAnswer: -(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144bb (base 12) to base 4.\nAnswer: -12323033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmllq. What is prob of sequence qm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213672122 to the nearest integer?\nAnswer: 14618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 5*z - 3 + 2*z. Let b be d(-5). What are the prime factors of (-2)\/(b + -4) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 6\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 16*s**3 - 2*s**2 + 2*s - 1. What is the units digit of j(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 49 = 320. What are the prime factors of y?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 93903 - 16163 = 0. Suppose q = p - w, w - 30 = -28. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55304*m = -55389*m + 1700 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/417633 and -95\/11442.\nAnswer: 835266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*d + 2*d - 48, -d - 136 = -5*n. Suppose -4*q - 68 = 4*j, -j - 3*j + 3*q = 47. Let w = n + j. What is the lowest common multiple of w and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4 - 16*n**3\/3 + 6*n**2 + 72*n + 10. Factor d(l).\nAnswer: -4*(l - 2)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 85404 + 73178. Let g(r) = -136492*r - 1. Let w be g(-1). Let m = w + f. Round m to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -190855, -190854, -190853?\n\"Answer: l - 190856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w - 42. Is 22\/3*w\/(-14) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413417\/15 - 27583. Let c = 116\/5 + v. Solve -8\/9*n**3 - c*n**2 - 2\/9 - 8\/9*n - 2\/9*n**4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -13 + 32 - 72573\/(-17) is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 2. Suppose r - t + 11 = 2*r, 3*t + 7 = h*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let n be m(-1). Let h be ((-4)\/12 - 0)*-6. Let o = -603\/11 + 55. Which is the nearest to n? (a) -0.4 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1216.5 times -4\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**5 + r**4 - 70*r**3\/3 - 2291*r**2\/2 - 8986. Find the second derivative of o(v) wrt v.\nAnswer: -60*v**2 + 24*v - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-172)\/215)\/((-4)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 185 = z - 192, 0 = 2*z - 5*h + 1 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 4*(-3*1*sqrt(468) + 0) + 5) + 1)**2.\nAnswer: -144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -874.2479 and -0.0744853.\nAnswer: -874.3223853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c + 20, 21 = a + 4*c. Suppose -58*p + a*p = -238. Calculate the greatest common factor of p and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 427\/(-13) - 2\/13. Let o = -16 - y. What is the remainder when 67 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1eb - -4?\nAnswer: -1e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.5089976969 + -27.509. What is x rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from {d: 1, j: 1, f: 1, i: 1, c: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 35*a + 97. Calculate c(-33).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.132 * -23.503.\nAnswer: -50.108396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and 24.96691359322.\nAnswer: 25.01691359322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, -1353, 154 in decreasing order.\nAnswer: 154, -1, -18, -1353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((-15)\/9 + -1). Let i = 16 - o. Suppose -2*m = 2*m - i. Solve 3*v + q = 0, 0 = -m*v - v + q + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5789, -5805, -5817, -5819, -5805?\n\"Answer: l**3 - 4*l**2 - 11*l - 5775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43658 and 0.155.\nAnswer: -6766.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1860398?\nAnswer: 2, 930199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 10*x - 10. Let i be p(9). Let g be ((-4)\/(-3))\/(i\/6). Suppose o + 3*v = -18, 2*o - 2*v + 15 = -v. Which is bigger: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -122, 1, -4, 4 in ascending order.\nAnswer: -122, -5, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:11 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36541679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 159*d + 1934. Does 44 divide x(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**2 - 358*t - 4660. Determine o(-10).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4135 and -175.68?\nAnswer: 4310.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258327 less than -2704?\nAnswer: -3261031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j + j - 141230 + 141160 + 242*j**3 with respect to j.\nAnswer: 726*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 16) to base 7.\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, -5, 10\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 6*n + 40 = -2*p, -4*p = -5*n - 30 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-42))\/((8\/((-192)\/104))\/(-7)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407 + -0.5?\nAnswer: 6406.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -117*p - 425. Calculate the remainder when 122 is divided by k(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -173, -258, -341, -422, -501?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12108803*y - 12108803*y + 3 - 7*y**3 - 1.\nAnswer: -7*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1000 + -4?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 72718 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/3)\/(12\/9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/31 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s + 16 = 0, -5*f + 11097 = -3*s. Suppose -2*l + l + f = 0. Is (-5)\/15 + (l\/9 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 0*w**2 + 6*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 211334?\nAnswer: -21133.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1150905366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 622*u**3\/7 - 2503*u**2\/7 - 3990*u + 675\/7.\nAnswer: (u - 9)*(u + 5)*(622*u - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 29*z**2 + 18*z. Calculate o(-28).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 215820758\nAnswer: -21582075.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 815100 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 157997 = -2*y + 16147, 0 = -4*p + 4*y - 174144. Round p to the nearest one hundred.\nAnswer: -43500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3279*w**3 - 9*w**2 + 18*w + 9. What is the units digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 17. What is the closest to n in -0.4, 3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/4 (b) -1\/8 (c) -0.3 (d) 217\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1884011 and 5?\nAnswer: 9420055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2 - 2 + (-3 + 3 - q)*(q - 4*q + 5*q))*(2 - 2 + 1).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - g**2 - 1 - g + g**4 - 2*g to r*g**3 + w*g + b + k*g**4 + o*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 - -243. Let k = 970 + -860. Let p = w - k. Which is the third biggest value? (a) -2 (b) p (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) 4 (b) 3\/2 (c) -1\/4 (d) 21 (e) -2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 i, and 2 d when four letters picked without replacement from ydidydddydyddyyddi.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24518 + -24521. Sort 5, 1, h, -10, 3.\nAnswer: -10, h, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7157\/14 + 3636\/7. Let i = 17\/2 - h. What is the smallest value in i, -0.2, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:19 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1 + 2 + u - 2*u. Let q = -8 - -5. Is v(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-64) - (-35)\/4. What is the derivative of c*i**4 + 1556*i**3 - 12 - 1556*i**3 wrt i?\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.28 - 0.28. Is q less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6421 and 1765827.\nAnswer: 1759406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 3, 4, -826 in decreasing order.\nAnswer: 4, 3, 2, -7, -826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210303 + 33?\nAnswer: 211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128708, 128803, 128896, 128987, 129076, 129163, 129248?\n\"Answer: -k**2 + 98*k + 128611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 3*b - 457 + 433, 5*m = 2*b - 29 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 11 = -3*q, 0 = -4*s - 4*q - 2109 + 2125 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2540448 and 4512.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, 1\/7, 9, -6\/7 in ascending order.\nAnswer: -6\/7, -1\/3, 1\/7, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 28. What is the hundreds digit of (-2 - (789 - i))*9\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*w = -38, 8 = -0*w - w. Solve -s = z*u + 7, -3*u = -28*s + 30*s + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/8)*(n*((n\/(n**(-2\/31)\/n))\/n)\/n)\/n)**(-1\/18) assuming n is positive.\nAnswer: n**(-19\/496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*g + 0 = -5, 3*c - 3*g = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.1 + -16. Let y = 0.1 - -0.3. What is the nearest to z in -5\/3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 22.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 2. Let d be t(-2). Let p(s) = -s**3 + 5*s**2 - 4*s - 2. Let u be p(d). Which is bigger: u or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 726*h**6 + 1254*h**2 wrt h.\nAnswer: 87120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f + 2 - 39*f - 1 - 9*f - 2*f**2 + 5*f to k + u*f**2 + a*f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1872) + -1 - sqrt(13)) + -5 + 2)**2 + 1.\nAnswer: -1188*sqrt(13) + 56710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 5 - 9*t + 6*t - 9 + 3*t + 2*t.\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.5 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + d - 3. Let m be k(3). Suppose -14*n = -m*n - 320. Calculate the remainder when n is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -77, -51\/7, 3\/8, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 10 - 25. Suppose 3*z = -l, 2*l - 3*l - 5*z = 2. Solve -l*b - x = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:50 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.441116 litres to millilitres.\nAnswer: 441.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kerk when four letters picked without replacement from {e: 1, r: 7, k: 4, n: 2, d: 6}.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 2*x**3\/27 - 4*x**2\/9 + 2*x\/3 - 3. Find o, given that n(o) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2271750)\/(-186400)*8\/30?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26550392 a multiple of 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 9 - (-5 + (6 + -7 - 0))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1377)*-3.\nAnswer: -27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132 (base 6) to base 11.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20943121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6127 is divided by 435.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 4*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1269*n**2 - 1234*n**2.\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 30. Let j(c) = -6 - 7*c**3 + 11*c + q*c**3 - 5. Let w(v) = -2*v**3 + 6*v - 6. Let y be ((-22)\/(-8))\/((-2)\/8). Give y*w(b) + 6*j(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9917911l in millilitres?\nAnswer: 991.7911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60417\/8 - -7563. Calculate the common denominator of (11*-3 - 1)\/((-5523)\/526) and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 7\/3*o**3 + 1\/3*o**4 - 163*o - 1\/10*o**5 + 0 + 4*o**2. Factor x(k).\nAnswer: -2*(k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 2:29 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((10\/(-30))\/(4\/(-6))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 15*r**3 - 79*r**2 - 165*r - 100.\nAnswer: -(r + 1)*(r + 4)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11137*g**2 - 12*g - 6350. Let i(y) = 11137*y**2 - 15*y - 6349. Let d(h) = 4*i(h) - 5*n(h). Differentiate d(p) with respect to p.\nAnswer: -22274*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from ljzylyxylaljlyya?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f - 5. Suppose -4*g + 4*m = -3*g - 19, 32 = 4*g - f*m. Find the second derivative of g*b + 0 + 4 - 4 + 2*b**2 wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g**2 - 9*g**2 + 0*g**2)*(4*g - 2*g + g)*(2*g - 5*g + 5*g + 1).\nAnswer: -12*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 19 = 7. Suppose 8 = j*i - 4. Suppose h = 4*b + 5, 4*b - 5*b = -i. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/10 - 1014771*k\/5 - 1029760182441\/10 = 0. Calculate k.\nAnswer: -1014771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11482, -11481, -11480, -11479, -11478, -11477?\n\"Answer: d - 11483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11128 divided by -856?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -0.056, 0.5, 5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:20 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-1\/4))**(-47)*(c\/(((c\/(c\/c**1))\/c)\/c))**(-3) assuming c is positive.\nAnswer: c**(-353\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4237, -4238, -4239?\n\"Answer: -d - 4236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:05 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5844498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/5)*n*n*n**1*n*(n\/(n**6*n))\/n**(2\/17))\/(n**(-4)*n\/((n*n*(n*n\/(n\/(n\/n**(-8))))\/n)\/n))**3 assuming n is positive.\nAnswer: n**(3203\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*l - 4960*f + 4963*f, 2*l - 2 = 4*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -8, -23, -44?\n\"Answer: -3*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -3, -42.\nAnswer: -42, -3, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*d + 30 = 0, -16*d = -v - 21*d + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 159 - 141. Solve c*v = 13*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 r when four letters picked without replacement from {i: 5, o: 5, r: 2, q: 6, j: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5273031 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848 = 58*i - 738 - 96 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 74680*y**2\/7 - 2833288*y + 808640 = 0 for y.\nAnswer: 2\/7, 280, 5054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**6\/75 + z**5\/10 + 3*z**4\/10 + 7*z**3\/15 + 2*z**2\/5 - 9*z. Let b(t) = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719084 = 55*y + 185199. What are the prime factors of y?\nAnswer: 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.2667238 - 2.673.\nAnswer: 4.5937238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 28*i - 102.\nAnswer: 2*(i - 3)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40999458 to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5051 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*l + 30 = 0, -10*i + 12*i - 3*l + 14 = -21 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -653858055 divided by 27747\nAnswer: -23565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/676865159?\nAnswer: 2\/676865159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 10*a + 12. Let b = -27 - -34. Suppose b*u + 63 = -0*u. Let z be h(u). Solve -2 = o - 5*x - 14, -3*o = z*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1295*h - 2. Let a(w) = -w + 4583. Calculate y(a(o)).\nAnswer: -1295*o + 5934983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 3*p**2 + 5*p + 6. Let v be r(-3). What is the greatest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62406941\/9282 - -114304\/17. Calculate the common denominator of 29\/36 and n.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/20)\/(((-24)\/15)\/8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + 4 + -4 - -3. Suppose -5 = 2*f - u. Let k be -1*1 + 12 + 1. Solve b + 5*t = -2*b + 12, -3*t = -f*b - k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315167.6 decades in years?\nAnswer: 3151676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-500)\/(-5))\/5*6985\/(-2540)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1454*w = 127*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b. Let w be -2*((-1)\/(-2) + 0). Let c be r(w). Let k = c - 3. Solve -5*f - 4*u + 0 + k = 0, 3*f = u - 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372355 by -3.\nAnswer: -372355\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - k. Let h(g) = 24*g. Give h(v(n)).\nAnswer: -24*n**2 - 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 35\/15. Let z = k + 0. Let g be ((-6)\/10)\/(z\/20). Solve 10 = 4*q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 3, -285, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916181?\nAnswer: 7, 17, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Suppose -5*h - 2*n = -0*h - 10, -n + 11 = z*h. Suppose -h*x = 3 - 11. Solve -x*y = y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34396122 greater than or equal to -34396124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1445, 3, 5, -37.\nAnswer: -1445, -37, -27, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -6*r. Let p = r + 3. Suppose -p*q = 4*i - 118, 0*i - 5*q - 69 = -3*i. What is the remainder when 222 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + 3 - 3)*(-i**2 + 3*i**2 - 3*i**2) + 11*i**3 + 4*i**3 - 14*i**3 - 38*i to m + z*i + c*i**3 + k*i**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, p: 2, x: 3, u: 5, t: 1, i: 6}. Give prob of picking 3 x.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q - 2. Let i be (-6)\/27 + (-29)\/(-9). Let x(b) = -2*b + q - i*b - 2*b**2 - 1. Let u(s) = s**2 + 2*s. Determine -5*u(v) - 2*x(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -2.3. Let d = m - 2.4. Which is the nearest to -0.1? (a) -0.4 (b) 0.8 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*g + 4*m - 1, 2*m = -2*g + 12. Let j be 49 - -6 - (g + 0). What is the greatest common factor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 5\/12*i**4 + 8*i**2 + 0 + 0*i + 0*i**3. Let b(s) = s. Give b(c(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-43)\/(x**7*x**(-3)))\/((x\/(((x*x\/(x*x*x*x**(-1\/2))*x*x)\/x)\/x))\/x**(-2\/9))**7 assuming x is positive.\nAnswer: x**(485\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 746 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 3122?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11138, -22276, -33414, -44552, -55690, -66828?\nAnswer: -77966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(99) + 0 - sqrt(99)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1331, -5607, -13357, -25091, -41319, -62551, -89297, -122067?\nAnswer: -161371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/60*5)\/((-4)\/((-48)\/20))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -14*f**3 + f**2 + 14*f + 12. What is the remainder when 1986 is divided by o(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2 + 9*q + 4. Let j(m) = 2*m**2 - 4*m - 2. Let t(x) = -7*j(x) - 3*r(x). Let k be t(-3). Let w(s) = s**2 - 5*s + 6. Is w(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58427\/2384 + 21\/298. Let u = o + 4217\/176. What is the common denominator of 127\/6 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from aabbabbbbbbaa?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.7, -0.5, 25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*o - 969 + 5428, 3*v - 5*o = 13377. Is v a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*a**3*u*y + a**3*u + 7*a**3 + 8*a**2*u*y + 2*a**2*y - 28*a*u wrt a.\nAnswer: 150*u*y + 6*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.6540231 rounded to three decimal places?\nAnswer: 28.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097619.\nAnswer: 3, 151, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 4410.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45529208.\nAnswer: 2, 5691151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*a**2*o*t + 5803*a**2*o - 2*a*t**4 - 60*o*t wrt t?\nAnswer: -20*a**2*o - 8*a*t**3 - 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 309*b + 1910. Let h be x(-6). Let f(u) = u**2 + u - 2. Let q be f(3). What is the greatest common divisor of q and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(3\/5))\/z))\/z*z**(-2)*z)\/((z\/(z\/((z*z*z**(-2))\/z)*z))\/z)**(-2\/5) assuming z is positive.\nAnswer: z**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 9*s**2 + 40*s**2 + 3*s.\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k + 1700*k - 118*k + 1651*k = -208437 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 0.3, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = -0. Let k = -19 + 11. Let x be (-19)\/(-4) - 2\/k. Solve 7 = p*t - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 1269?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12525698?\nAnswer: 2, 6262849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15, 5, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -52. Solve 5*z - 5 = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 26\/22 - 2\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, y: 3, x: 1, d: 8}. Give prob of sequence yyy.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3 - 9*c**2 + 3015*c + 56370?\nAnswer: -3*c**2 - 18*c + 3015","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583*b**2 - 348*b + 348*b.\nAnswer: 583*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {v: 2, o: 1, s: 2, c: 4, m: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2936 and 0?\nAnswer: 2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g*h**2*y - g*h**2 - 4*g*h*y**3 + 32*h**2*y**3 wrt g?\nAnswer: 9*h**2*y - h**2 - 4*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 24 = -0*u. Suppose -6*a + 2*a + 456 = 0. Is 15 a factor of (a\/(-4))\/((-3)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from zsuwuli.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 55.96. Let x = t - 0.04. Which is the smallest value? (a) x (b) -0.03 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0.203, -0.4, 1\/5, -348 in decreasing order.\nAnswer: 3\/5, 0.203, 1\/5, -0.4, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let m(w) be the third derivative of -1\/24*w**4 + 1\/6*w**3 + 4*w**2 + 0*w + 0 + 1\/60*w**5. Let g(d) = -4*d**2 - 2. Determine s*g(q) - 2*m(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 - 2 - (0 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152182 divided by 1.\nAnswer: -152182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 - 283404*f - 283401 = 0. Calculate f.\nAnswer: -94467, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -34. Suppose 4*z - o = -2*j, -5 = z + 3*j - 0*j. Calculate the greatest common factor of 20 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 632 times 0.2\nAnswer: 126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 12, -5*s + 72 = -4*u + 2*u. Let o be u\/(-10) - (92\/20 + -4). Let a(y) = 5 - 2*y + 0*y + 4 - o. Give a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/9 (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/408?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1) + 106*(-4)\/(-4). Suppose -2*f + q - 103 = 0. Suppose f*z + 170 = 2*c, -5*c + 2*z = -4*c - 87. List the prime factors of c.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 36086400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 120*o = 121*o + 139, 0 = -3*o - 15. Is -70 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 5 + 5 + 7*f**3.\nAnswer: 7*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -22*h**2 - 11*h - 4. Give z(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 + 4*l - 2*l**2 - 1 + 0 - 2*l**2. Let b be s(3). Let m = b - -82. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -88\/2234491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14765 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pittpeew. Give prob of picking 1 p, 1 w, and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**5\/3 - 9718*j**4\/3 - 19442*j**3\/3 - 9722*j**2\/3 = 0.\nAnswer: -1, 0, 4861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-142)\/12 + (-2208)\/(-184))\/((-2)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78593649?\nAnswer: 3, 31, 691, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 166*u + 1258. Calculate the remainder when z(-5) is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 133 = -145. Solve -10 = -2*q + 2*u, f*q + 2*u = -u - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 1\/228*x**4 + 13*x**2 + 0 + 0*x + 1\/285*x**5 - 1\/380*x**6 + 0*x**3. Factor m(u).\nAnswer: -2*u*(u - 1)*(3*u + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2585, -2567, -2537, -2495, -2441, -2375?\nAnswer: -2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrro when four letters picked without replacement from rrorrrorroo?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*v + 427951 + 78213, 0 = m + 3*v - 126541. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*h*i*x**3 - 3*h*i*x**2 - 195*h*i*x + 2*h*x**3 - 1854*i*x**3 + 2*x**3 + x**2 + 1671*x wrt x?\nAnswer: 1128*h*i + 12*h - 11124*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 84.9. Let n = 81 + -75.7. Let m = n - 5. Which is the closest to 0? (a) m (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h + 4*l = 57*h + 137, 0 = l - 3. Solve -57 + h = 5*m - 4*u, u = -m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2*j - 9 - 1, 4*j - 8 = 0. Suppose 5*d = a*n + 10*d - 57, -2*n + 67 = -5*d. What is the remainder when n is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2 + 21 = c, 0 = 2*c - 2. What is the tens digit of ((-30)\/20)\/(y\/(-320))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 40 = -12*d. Let m(h) = h**3 + 9*h**2 - 5*h - 6. Let s be m(d). What is the greatest common divisor of s and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 214.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 326 - 323. Suppose -f*n + 1103 = l, -11*l + 12*l - 4*n - 1124 = 0. What are the prime factors of l?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -20.3. Let l = 52.5 + -54. Let g = z + l. What is the smallest value in g, -1, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0472 (b) -0.3 (c) 6 (d) -1 (e) -5 (f) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 2, c: 1, a: 4}. Give prob of picking 2 a and 1 w.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000539885 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let q(z) = -20*z. Let p(d) = -24*c(d) - q(d). Let x(r) = 2. Let o(w) = w**2 - 9. Let k(b) = -2*o(b) - 9*x(b). Give p(k(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-836))\/(24\/44)*164.\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5763*o - 144130. Give k(-25).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 221, 232, 245?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from iiviiiviiiviiiii?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**2 + n - 4. Let r(j) = -1162*j + 1927*j - 766*j + 1. Calculate -k(h) - 4*r(h).\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2. Let y = 151 - 147. Let l(d) = -1 + y*d - 13*d + 16*d. Calculate f(l(h)).\nAnswer: -98*h**2 + 28*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.7 and 2.6.\nAnswer: 118.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442894.\nAnswer: 2, 221447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4644, 4642, 4640, 4638, 4636?\n\"Answer: -2*b + 4646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6. Let j(c) = -c - 5. Let q(n) = 5*i(n) + 6*j(n). Let l(a) = -2*a**2. Calculate q(l(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o. Let r(u) be the first derivative of 8*u**3\/3 - 90. Give r(j(f)).\nAnswer: 200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 7*l - 5. Let w(z) = 3*z**2 + 14*z - 9. Let k(y) = 5*j(y) - 2*w(y). Let d be k(5). Solve 0*m = d*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3168\/880)\/((-30)\/125).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 7. Let d(a) be the first derivative of 5*a**2\/2 + 92*a - 43. Let t be d(-17). Calculate x(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9339 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -12 + 2 - 15*z**2 + 2*z**3 + 24*z - 2 + z**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -256460, -256604, -256732, -256838, -256916?\n\"Answer: q**3 + 2*q**2 - 157*q - 256306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 0)*(11 - 0). Let f = p + -43. Suppose -15*j + f*j = -12. Calculate the greatest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1341?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-3 - -2)*2. Let y(n) = -5*n**3 + 2*n**2 - n + 1. Let q(u) = -9*u**3 + 3*u**2 - 2*u + 2. Let m(j) = -6*q(j) + 11*y(j). Is m(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1330245 and 1722.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Suppose p*g + 3*j = 0, g = 3*g + 5*j + 9. Calculate the remainder when 4 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4598 at least as big as -4600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, -1, 25, 105, 257, 499?\n\"Answer: 3*y**3 - 31*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 take away 0.147?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c7a49 + -10?\nAnswer: -4c7a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, 3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(120)\/sqrt(5))\/sqrt(12) + (sqrt(128) + (sqrt(128) - ((sqrt(128) - ((sqrt(128)*3)**2 + sqrt(128))) + 3)) - sqrt(128)))*5.\nAnswer: 30*sqrt(2) + 5747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4426 + 2993 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -4*n**3\/3 - 590*n**2 - 6793. Factor d(k).\nAnswer: -4*k*(k + 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 9:01 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o + 24. Calculate r(-14).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -9*t + 51, -4*g + 205 = 5*t + 172 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5776\/6 - 10\/15. Calculate the common denominator of -12 - 7714\/(-336) - 2\/(-12) and (-4)\/14 - g\/112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -3 + 3 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3 (b) -64 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 207 (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + 1 - (10 - 1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*w + 2*w + 59, 2*w = -10. Let q = x + 25. What is the lowest common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5842 divided by 47\nAnswer: 5842\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 144060?\nAnswer: -144061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 0.5, -178.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62 minus 8383695.6?\nAnswer: -8383693.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/86)\/(875\/3500).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458, -839, -1924, -4067, -7622, -12943?\nAnswer: -20384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 + 4*u**2 + 5*u + 5. Suppose 4*q - 2 = -3*f - 3, f + 5 = q. Let s(g) = 2*g**3 - 3*g**2 - 4*g - 4. Let v(k) = f*b(k) - 4*s(k). Give v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2392619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -109, -127, -165, -229, -325?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/3 + 51*f**2 - 21*f - 4. What is the lowest common multiple of 45 and z(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1bc7bac + -1?\nAnswer: -1bc7bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let u(s) = 14*s**2 + 356. Let v(k) = -7*k**2 - 178. Let x(j) = 6*u(j) + 11*v(j). Let l(f) be the first derivative of x(f). Determine l(i(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3 + 888*s**2 - 526334*s - 13682100 = 0.\nAnswer: -773, -25, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -22. Suppose -4*z + 9 = -k. What are the prime factors of ((-15)\/2)\/z*-4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/289 + 1\/(102\/1287) + (-4 - 8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-3 + sqrt(102))*6)\/sqrt(6) - (-2 + sqrt(1700) + 3).\nAnswer: -22*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a + 119 = 72*a - 57 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 238447811 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7658 + 7658. Solve h = -821*t + 818*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, e: 5}. What is prob of sequence feee?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 22*f**3 + 18*f - 2. Let d(t) = -22*t**3 - 18*t + 3. Let n(k) = -2*d(k) - 3*x(k). Find the second derivative of n(g) wrt g.\nAnswer: -132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-10) + 1)*-42. Let z = l + 26. Which is the closest to -1? (a) -1 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/63)\/(17\/((-612)\/(-24)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 73.5. Which is the third biggest value? (a) l (b) -59 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 195a546?\nAnswer: -195a549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 76. Suppose 167*i + 251*i - 8235 = 113*i. What is the remainder when k is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*w = -1906 + 1895, 5*s + 3*w = -17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22641*o + 5637*o - 12545*o)*(0 + 2 - 3).\nAnswer: 29549*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*6555\nAnswer: -26220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 + 5*k**2)*(1 + 1 - 4)*(3*k + 4*k - 4*k)*(-11*k + 3*k - k).\nAnswer: 54*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) - 53\/3. Let r = x + 36. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*a - 4*z, 3*a + z = -0*z + 4. Suppose a = 69*d - 70*d + 58. Suppose 3*b + b = 124. What is the remainder when d is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016525 rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69\/19706 + -2\/167. Let u(g) = g**3 + 6*g**2 + 2*g + 12. Let w be u(-6). Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 3924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217015898.\nAnswer: 2, 11, 9864359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1854 and 30?\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q + 28. Let k = -12 - 2. Let j be d(k). Calculate the common denominator of (j\/(-48) - -3) + 2 and -25\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783777661?\nAnswer: 3, 7, 317, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(65) - -4*(sqrt(65) + sqrt(65) + -1*sqrt(65)))\/(sqrt(900)\/sqrt(5)))**2.\nAnswer: 20*sqrt(13)\/3 + 901\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2435 (c) 1525 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -53. Sort 1, 0, 3, q in decreasing order.\nAnswer: 3, 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 0*u - 3\/4*u**3 + 3\/32*u**4 + 15\/16*u**2 - 72. Determine q so that m(q) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -1\/6*z**3 + 0 + 0*z**4 + 7*z**2 + 7\/60*z**5 + 0*z. Let t(j) be the first derivative of x(j). Let w(h) = h**2. Give w(t(p)).\nAnswer: 196*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49700289.99903 + 49700500. Let q = w - 210. What is q rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t + 76*t - 11 = j, 0 = 3*t + 5*j + 3. Sort 1, t, -33, -11, 6 in descending order.\nAnswer: 6, t, 1, -11, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (4 - 14 - (-17 - -1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485 is divided by 368?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2604 is divided by 481.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 50980.\nAnswer: 356860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-12))\/(((-1104)\/(-18))\/4)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655*w + 182*w - 649*w.\nAnswer: -1122*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 356, 839, 1426, 2129, 2960, 3931, 5054?\n\"Answer: 2*r**3 + 40*r**2 + 349*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 31 = 5*o, 7*o = -4*k + 10*o + 27. Suppose 637 = 4*b - 3*v, k*b - 482 = -v - v. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -68, -269, -682, -1379, -2432, -3913?\nAnswer: -5894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/(6\/(-12)). Calculate the remainder when (-3)\/(-9) - ((-276)\/9 - o) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 995356, 995634, 995912?\n\"Answer: 278*p + 995078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13667698 at most as big as -13667709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7465787?\nAnswer: 7, 152363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 53.2. What is the biggest value in 2\/11, g, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h = 7*h - 7*h - 36 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82522877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-6)*z\/(z**6*z*z)*(z**0)**15)**(-10) assuming z is positive.\nAnswer: z**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 + -4.6. Let s = k - -0.79999. What is s rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/70 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, k: 3, f: 3, h: 1, a: 2, b: 3}. Give prob of sequence bfaa.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 - 3*h - 2. Let y be c(4). Let u = -40 + y. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-100)\/8)\/5. Let s be (13\/5 + l)\/(2\/10). Let c = s + 36. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + z + 1. Let f(p) = -51*p**2 - 18*p - 18. Let s(a) = -f(a) - 18*x(a). Let v(l) = -6*l**2 + 5*l**2 + 9*l**2. Give s(v(j)).\nAnswer: -192*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.7, -1\/2, 851?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 4*r + 13. Let f be c(-10). Let l = -39 - f. Let t(m) = -2*m + 12. Let h be t(l). Which is greater: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12372397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*a**2*r**2 + 1245373*a**2 + 380*a*r**2 - 3*r**2 wrt r?\nAnswer: -158*a**2*r + 760*a*r - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1295143766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-143)\/33)\/(-13) - (-4)\/6. Which is the nearest to u? (a) 3 (b) 5 (c) -48 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 2*i**2 - i + i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1)\/((-1)\/5). Let n be (-39)\/52 - 759\/(-4). Let w = n + -191. Which is the closest to p? (a) -1 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*((2*z**2 + 3*z**2 - 7*z**2)*(z + z - 4*z) + z**3 - 2*z**3 - z**3 + 4*z**2 + 2*z**3 - 4*z**2).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*i + 3*f, 4*f = 2*f - 4. Suppose -117 = -i*j + 378. Let w = 34 + j. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shb when three letters picked without replacement from {s: 1, b: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/11152 and 52\/4879.\nAnswer: 78064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 115\/2, -532, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 6*b - 3. Let t be h(-6). Let u(k) = -6*k + 1. What are the prime factors of u(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - 4.7. Let a = u + 5.6. Let i = -5 - -5.3. What is the nearest to -1\/3 in i, -4\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2*((-7)\/(-3))\/(-7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53066 to 2 decimal places.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 3*n**2 + 13*n - 144. Calculate r(0).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 17 - 1 = 0. Suppose -241 = s*v - 1045. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/40 - 19*b**4\/8 - 18*b**3 - 717*b**2. Determine o, given that c(o) = 0.\nAnswer: -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1699081, 1699031, 1698965, 1698883, 1698785?\nAnswer: 1698671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/120 - m**5\/20 + 5*m**4\/24 + m**3\/6 - 40*m**2. Determine y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1024609460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 + 158. Let y = 1471 - l. Round y to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - -1. 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: What is prob of picking 3 l when three letters picked without replacement from {l: 14, q: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -9. Let u = -9 + 7. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*y - 2 = -2*y, 3*p + 3*y - 15 = 0. Let r be -3 + 2 + 98 + 2. Suppose -w - r = -p*o, -3*o + 95 = -o - 5*w. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624651*l + 420 = 24*b + 624647*l, 39 = 3*b - 5*l for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4929485084 - -0.16?\nAnswer: -4929485083.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/13 + 402*m**4\/13 - 7114*m**3\/13 + 36198*m**2\/13 - 2268*m = 0.\nAnswer: 0, 1, 9, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 29\/5, -10\/67 in descending order.\nAnswer: 29\/5, -10\/67, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 3:22 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1238, 2484, 3730, 4976, 6222?\nAnswer: 7468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084343.\nAnswer: 3, 694781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/642 and 149\/5216466.\nAnswer: 558161862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18659002 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.026766 - -0.00684. Round v to three dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72333 and 6768.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013619 rounded to 6 dps?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -151874.4 less than -118?\nAnswer: 151756.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3 + 4 - 4*l + 5 - 3. List the prime factors of v(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f**2 - 5*f - 7. Let u(b) = 7*b**2 - 17*b - 53. Let p(d) = -2*d**2 + 6*d + 19. Let y(c) = 11*p(c) + 4*u(c). Give -2*n(z) + 5*y(z).\nAnswer: 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 2770 = 4*s - q, 0 = -2*s + 4*q + 1448. What are the prime factors of s?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53470, 106938, 160406, 213874, 267342?\nAnswer: 320810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681736 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002950 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -449 * 1418\nAnswer: -636682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -656142 divided by 109357\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 2\/1367 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3\/1 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 30 = -4*y - 25*p, -4*p + 36 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27884945371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssh when three letters picked without replacement from yyhuyyssss?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*n, -5*n + 25 = r + 4*r. Let f be (5 + -8 - 28\/(-10))*r. What is the nearest to -0.08 in -2, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46889 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 2. Let f = -5.3887 + 5.7887. Sort 6, m, f in decreasing order.\nAnswer: 6, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159.4 + -159. Suppose 2 = -3*q - 1. Let o = q + 1. Which is the closest to 0.1? (a) r (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 1813445136?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-524*o - 29142 + 29142)*(13*o**3 - 3*o**4 - 13*o**3).\nAnswer: 1572*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 2 - -1 - 0. Calculate the remainder when 23 is divided by m\/(1 + 1 + (-17)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1376396.9305906 and 14.\nAnswer: 1376410.9305906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27723 + 7893 = -4*m + 3*v, -3*v = 5*m - 24828. Calculate the least common multiple of m and 30.\nAnswer: 24810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9250000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(15*p - 12*p - 13*p) - p + 2*p + 0*p)*(5*p + p**4 - 5*p).\nAnswer: -19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -131?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*u - 78 = 0, 41 = 5*v - u - 136. Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*k - 36*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -11*s**4\/24 - 6*s**2. Let l(n) be the third derivative of -n**5\/30 - n**2. What is l(t(h))?\nAnswer: -242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/30)\/(6\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 + 113 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/3 - (-8)\/12. Let j be f\/(-9)*3 + 1. Solve -j*q + 12 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132000.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**3\/3 + 1490*d**2 + 337440*d + 1971360 = 0.\nAnswer: -444, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from seesseeese.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.39 - 43.11. Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let j be o + (25 - 6\/(-3)). Solve -4*k - j = -11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-1)\/((-4)\/68). Suppose -2*p = -4*p + 2*c + 12, -4*p - 3*c = -r. Suppose -6 - 14 = -p*l. Solve -3*z - l = 4*j, -5*j + 3*z - 3 = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20226 - 2?\nAnswer: 20224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*w + 57*w + 360 = 50*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 3*y**2 + 3*y**2. Let k(p) be the second derivative of 0*p**3 + p + 0*p**2 + 0 + 1\/4*p**4. Calculate k(z(v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 30*h**2 - 17*h + 9. Let g be i(-12). Let j = 1754 - g. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1342*w + 89*w**2 - 425*w - 91*w**2 + 414*w + 391*w.\nAnswer: -2*w**2 + 1722*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -14. Let j(t) = -44*t**2 + 98*t**2 + t - 1 - 55*t**2. Let n(f) be the third derivative of f**5\/6 - f**4\/2 + 2*f**3 - 14*f**2. Give r*j(w) + n(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 15 = 18*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:26 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 - 3*y + 1. Let p be d(2). Suppose -5*n + 29 + 2 = 4*l, -n - 2*l + 11 = 0. Let m = -651 + 646. Sort m, 5, p, n in decreasing order.\nAnswer: 5, n, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3023444240 - -3?\nAnswer: -3023444232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17172, -16860, -16558, -16272, -16008?\nAnswer: -15772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(1551\/(-108))\/(-47).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 381 and 148971?\nAnswer: 148971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.07 + 1.77. Let r = 5 + -4.8. Which is the smallest value? (a) -4\/7 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 246 = -570. Let r = -150 - y. Calculate the remainder when r is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + q**2 + 9*q + 2. What is l(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 6*x + 1 + 10*x)*(-42 + 42 - 8*x).\nAnswer: -56*x**2 - 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*i - 45. Let t be i\/(-100)*10\/4. Which is the nearest to -2\/5? (a) -4 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8*95*4\/10*(39 + -37)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7294278 or 80237054\/11?\nAnswer: 80237054\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/14829 - 79318\/1705335. Let m = 1069\/138 + o. Find the common denominator of 129\/270 + 4\/18 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3255840 and 672.\nAnswer: 3255840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + 36 - 16) + -2 + 8 + 36.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 509206899 to the nearest one hundred thousand.\nAnswer: 509200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113805?\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, w: 2, n: 3}. What is prob of picking 1 n, 1 w, and 1 o?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -19)\/(-4*1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 19. What is the third smallest value in w, 0.3, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-252)\/54)*(-15)\/(-18).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + k)*(4 - 1 - 5) + 0 + 0 - 2*k)*(-40 - 57 - 42).\nAnswer: 556*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26068102 to the nearest integer?\nAnswer: 5106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c - 4. Let l be x(-3). Let a(b) = 6*b**l + 0*b**2 - b**2 - b**2. Let z(n) = -8*n**2. Calculate z(a(q)).\nAnswer: -128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjzgn. What is prob of sequence jn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 25. Let m(l) = -29*l + 12. Let j(n) = 29*n - 11. Let s(c) = y*j(c) - 6*m(c). What are the prime factors of s(4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32620000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*h = -2, h = m + 5 - 7. Suppose 0 = m*z - 5*o - 467, -5*z - 595 = -10*z + 4*o. What are the prime factors of z?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/4)*u**(-2)*(u\/(((u\/u**5)\/u*u)\/u)*u)\/(u*u**3*u)*((u*u**1)\/u)**9\/(u*u**(3\/2)*u\/u**0) assuming u is positive.\nAnswer: u**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**10\/2520 + f**6\/72 - 2*f**3\/3 - f**2. Let b(c) be the first derivative of r(c). Find the third derivative of b(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and 0.08368.\nAnswer: 11.08368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2. Let b(u) = -93*u + 251*u + 157*u. Let g(j) = -21*j. Let c(y) = 6*b(y) + 91*g(y). Determine l(c(t)).\nAnswer: 1323*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*b + 84. Suppose -5*h + h = -b. What is the second derivative of -h*z**2 + 16*z**2 + 20*z**2 - 32*z wrt z?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2080\/637)*876\/2847.\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 + -3.4. Let n be (-6)\/27 + 58\/18. Suppose n*x + g - 3 = 0, 0*g = -5*x + 2*g + 5. What is the closest to 0.1 in -2, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 297, 490, 681, 870, 1057, 1242?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9*449.1\nAnswer: 4041.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -4, -5, -2 in decreasing order.\nAnswer: 9, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -29 - (-21 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.7 - -57.4. Let c = -33.709 + n. Round c to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577012 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k + 1. What is the remainder when 41 is divided by p(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**3 - 3*x**2 + 4*x - 4. Let k be (-3)\/(-3) + 6\/3. Let o be r(k). What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 274 = -3*c, 0*v - 2*v + c - 109 = 0. Let m = v + 102. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 13*j**2 - 49*j**2 + 18*j**2 + 18*j**2 + 0*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**3\/3 - 4*z**2 + 2. Let u(g) = -g. Give -h(i) + 6*u(i).\nAnswer: i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-17)\/(-510)*(-30)\/350\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 1 = 27. Suppose h - 3*k = -k + 13, 0 = 4*h + 5*k. Solve h*j = -9 - y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 5. Let j be k(-10). Suppose -t = -j*t. Solve -z + t = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103431043 (base 5) to base 12.\nAnswer: 199707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 432760*b**2 + 492794 wrt b.\nAnswer: 865520*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5955496 and 2948?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 76 + -233542?\nAnswer: -233455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11823\/(-15) + 4 - -4 - 0. Let n = c - -785. Find the common denominator of n and -59\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6 = 3*s. Suppose 2*k = -s*w + 2, -2*k + 3*w + 7 = -0*w. Is ((-5)\/(-10))\/(k\/268) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*y + 164*y + 182*y + 24*y**3 - 9*y**2 + 174*y.\nAnswer: 24*y**3 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 74 in decreasing order.\nAnswer: 74, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = -4*y, 3*y + 5*j + 4 - 30 = 0. Solve -y*g + 4*c - 5 = -2*g, -2*g - 4*c = 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -35\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 - 12?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/12*(-108)\/576*(-4)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 441817 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + z)*(-5*z**2 + 2*z**2 + 2*z**2 + 4*z).\nAnswer: -z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5)**(1\/7)*(z**9)**(-25) assuming z is positive.\nAnswer: z**(-1570\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.5, -124\/3, -0.37, -35?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/10 - 21*n**2\/10 + 18*n\/5 + 272\/5 = 0. What is n?\nAnswer: -4, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 12:09 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8*v = 0. Suppose v = 3*g - 20 - 175. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -206, -362, -518?\n\"Answer: -156*n - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 - 5*s**3 + 98*s - 102*s in the form n + h*s**2 + g*s**3 + b*s and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**4 - 15*k - 464*k**3 + 464*k**3 wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239 + 481. Does 80 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/6302048 and -35\/15429152.\nAnswer: 447445408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 13404530?\nAnswer: 13404535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (89 - 58 - 79)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 18*s - 12*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 286\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 1, d: 5, w: 4, q: 2, c: 1}. What is prob of sequence xsw?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217604\/128613 + 218\/129. Which is the third biggest value? (a) u (b) -4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7) - sqrt(14)\/sqrt(2))**2 + sqrt(14)\/sqrt(2) + sqrt(7) + 5.\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (0 - -21)) + (-1 - -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/9100 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93 or -19346\/207?\nAnswer: -19346\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 150\/151? (a) 2\/9 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23376 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*(0 + 0). Suppose 0 = -2*n - 3*n + 10. Let z be 43\/3 - 2\/(-3). Solve s = -n*u + 5*u - z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a + 0 + 4 + 5. Let h be f(-8). Suppose -5*m - 2*g = -55, 3*m - 3*g = -g + h. What is the highest common divisor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41456 to the nearest 100.\nAnswer: 41500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 300300331 (base 4) to base 13\nAnswer: 6cbb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 21 = 4*g, -4*h = g - 17 - 4. Suppose 2*q = 10 - 0. Suppose q*w = 1 - 16. Sort h, 1, w in ascending order.\nAnswer: w, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145835.45 + 124333.\nAnswer: -21502.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**3\/6 + 71*z**2\/2 + 18*z - 2. Let c(x) = x. What is c(y(t))?\nAnswer: t + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331557, -331736, -331915?\nAnswer: -332094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -455, -180, 291, 964, 1845, 2940, 4255?\n\"Answer: d**3 + 92*d**2 - 8*d - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -23. Let x be (-3)\/24 + y\/24. Suppose w - j - 13 = x, -w + 3*j + 15 = j. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2288*b**3*s + 22*b**3 + 290*b**2*s + 5*b*s + 2*s wrt b?\nAnswer: -13728*s + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-4)\/180). Let g = j + -11. Suppose g*w - 42 = -2*t, 3*w + 4*t - t = 33. What is the remainder when w is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000169872 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.14, 3, 0.058, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 78622992.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387128 is divided by 5063?\nAnswer: 4929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8))\/sqrt(4) + (-4 + sqrt(32) - sqrt(2))**2.\nAnswer: -23*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 97.5 times 3\nAnswer: 292.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxftlffxnnxxxunuxl. What is prob of sequence fu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2 - 413*f + 791. Calculate g(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 6:20 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/30)\/((-232)\/(-290))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3241*c**3 - 5*c**2 - 97*c.\nAnswer: -19446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -17*p, -3*k - 2*p + 22827 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-10)*10\/(-3). Suppose -28 = -q*p - 0. Let v be 1 - ((-2 - -1) + p). Which is the smallest value? (a) -1 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17886035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1625.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 6. Let i be l(10). Suppose -64 = -4*p - 5*s, -i*p + 0*p - 2*s + 52 = 0. Which is bigger: p or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -85 and -58?\nAnswer: 4930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 12*k - 10. Let w be a(-4). Let f be (-3 + 5)\/((-4)\/w). Calculate the greatest common divisor of 104 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 <= 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2468, 2262, 2056, 1850, 1644, 1438?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 5*n**2 + 5*n - 13. Suppose -13383 = 9*w - 13419. Calculate c(w).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -4*w + 79. Factor 3*y**2 - 3*y**2 + 4*y**4 + 3*y**w - 38*y**5 + 39*y**5.\nAnswer: y**3*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -146.12413 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 114.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-1110)*(-688)\/(-1548).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325920 divided by 30.\nAnswer: -10864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.181 - 0.19.\nAnswer: -0.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5872783.\nAnswer: 7, 838969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.01, 6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.45 - 0.05. Let s = -6.01 - -6. Let f be (-18)\/10*((-1610)\/168)\/23. Which is the third smallest value? (a) 0 (b) u (c) s (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**2 + 4. Let b(n) be the first derivative of 11*n - 2 + 23\/3*n**3 + 0*n**2. Give -4*b(u) + 11*r(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x**(-4)\/x*x)\/x*x)\/(x*x**4*x))\/(x**3*x*x*x*x**8*x))**(35\/3) assuming x is positive.\nAnswer: x**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50521112 + -1?\nAnswer: 50521111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3))**18)**(5\/11)\/(((q\/(q\/q**5))\/q**(-6))\/(q**(4\/7)*q**(-3))) assuming q is positive.\nAnswer: q**(-2924\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfld when four letters picked without replacement from {l: 1, f: 1, e: 1, a: 11, w: 4, d: 2}.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 5:48 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(300))**2 - sqrt(300))*2 - (sqrt(192) + (-3 + (sqrt(192)*1 - sqrt(192) - sqrt(192)))**2))*2.\nAnswer: -152*sqrt(3) + 4398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*z + 6789 = -2392 - 4739 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10010010 and 45.\nAnswer: 30030030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1500828.3 months?\nAnswer: 12506.9025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217316147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14 + 34*o - 38*o + 3*o + 5*o. Give m(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 47*u**2 - 367*u + 126. Give y(-37).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 20 = 4*p. What is the remainder when (5 - 2)\/(12\/28) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 1610*f + 39229. What is g(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11722?\nAnswer: 2, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (17\/(-2) + -4 + 42\/12). Solve -p*w + 102 = 132 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3193.5 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(2\/5)*f)*f)**(-30)*(f*f\/(f*f**(-1\/4)\/f))**(1\/5) assuming f is positive.\nAnswer: f**(249\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 + 3*g - 2. Let v(k) be the third derivative of -k**5\/20 + k**4\/12 - k**3\/3 - 9*k**2. Suppose -t - 8 = t. What is t*i(c) + 5*v(c)?\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002693 to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + x**3 + 7*x - 7*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -2*k**5 - 4*k**4 + 88*k**3\/3 - 16*k**2 + 395. Find i, given that y(i) = 0.\nAnswer: -4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11826, 11819, 11808, 11793?\nAnswer: 11774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 4*g - 20. Give m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.3692 millennia to centuries.\nAnswer: 223.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93.6 - 94. What is the closest to 4 in 7, -1\/7, x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 2. Let y be k(2). Suppose 0 = -y*r - 3*r. Suppose l - 6*l + 90 = r. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {p: 1, m: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from lwwwwlwww?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 67 - 124 + 3*b + 280 + 321 to the form j*b + o and give o.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 792787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 + 1286*r + 24661. Determine m(-18).\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -139. Suppose q + 193 = 20*i. What is the remainder when i is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -7. Let s be (-17)\/7 - (f - 0). Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 15. Suppose -105 = 41*y - x*y. Calculate the greatest common factor of y and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71.0389745 - 0.0331745. Let w = 71 - y. What is w rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -79, -150, -239, -340, -447, -554, -655?\n\"Answer: l**3 - 18*l**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15046\/9 + -1670. What is the common denominator of -63\/10 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 2 + 0*q + 2124*q**2 - 2061*q**2 to the form l*q**2 + p*q + s and give l.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 2?\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l + 110. What is s(24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1841, -141\/2.\nAnswer: -1841, -141\/2, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a factor of 156301035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1026918?\nAnswer: 8215344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1 - 5 + 176*u - 3 + 6. Let q(d) = -352*d + 1. Let f(z) = 2*q(z) + 5*v(z). List the prime factors of f(1).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*((-1)\/6 - 0). Is (5*g)\/((-12)\/(-348)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:58 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by -27?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(1\/(-1))*420\/(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**7\/((d\/(d\/d**(-6)))\/(d\/(d\/d**6*d))) assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:10 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1906220591 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5934 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = t - 98. Calculate the highest common factor of t and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skshmghgkggk. What is prob of picking 4 g?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbb. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12802 - 12806 = -y. Let p = 3 + -1. What is the remainder when 3*((-52)\/(-6))\/p is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3.\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a hour?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6 - 2. Suppose -4*l + u = 2*t, 4*l + 0*l - 2*t + 10 = 0. Let p = 164\/33 - 16\/3. Which is bigger: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = 0. Suppose -5*g - c + 40 = 0, -5*g - 4*c + c + 40 = l. Let v(x) = x**2 - 7*x - 4. Let z be v(g). Solve -h + z = -0*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + 9. Suppose 18*m = -11*m + z. Are m and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f407 - 4c?\nAnswer: -f453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/7256 and -23\/11184?\nAnswer: 10143888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 27 = -3*w + 69, 0 = -5*w + 4*n + 142. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395 and 8787407?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 4:59 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 13*o - 147 = 0. Find the third derivative of 124*x**4 - 102*x**4 + 5*x**3 + o*x**2 - 5*x**3 wrt x.\nAnswer: 528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9714923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37743, -37760, -37777?\n\"Answer: -17*i - 37726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 375.8 + -72.3. Let u = w - 303. What is the biggest value in u, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10373 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -452, 1, -5, 28 in decreasing order.\nAnswer: 28, 5, 1, -3, -5, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*h + k + 12526, 2*h - 4*k - 5008 = 0. What are the prime factors of h?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(4\/5)*z)\/(z**1*z*z*z))\/(z**(-4\/5)\/(z\/(z**(3\/5)\/z))))**(-47) assuming z is positive.\nAnswer: z**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/(-4))\/((-3)\/(-6)). Let a(f) = 2*f - 13. Calculate the remainder when a(y) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81\/5 in 2, -7, 3, -6316?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 3*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49786, 49760, 49734?\nAnswer: 49708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + b)*(-6 + 4 + 5 + (3 - 3 + 2)*(-1 + 3 - 3)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-165)\/(-6))\/(-5)*-2. Let p(h) = 2 + 198*h**2 + 14*h - 106*h**2 - b*h + 280*h**2. Is p(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 101 = 5*t - 4*t, 2*t = -3*i + 202. Suppose 91*y + 4620 = t*y. Is y a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**6\/120 + i**5\/6 + i**4\/24 + 2*i**2. Let c be b(9). What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = -4*i + 39, 0 = -2*l + 5*i + 42. Calculate the remainder when 44\/(-66)*189\/(-2) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-4 + sqrt(20) - sqrt(720)*-1)\/(sqrt(110)\/(sqrt(22)\/sqrt(18))).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 + 12*j**2 - 1 + 73*j**3 - 71*j**3 - j + j**4 to f*j**2 + s*j**4 + x*j + l + k*j**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2 - 542*q**5 - 931*q**3 + 931*q**3 - 2*q + 141 + 4*q wrt q.\nAnswer: -10840*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 11*k**2 + 2*k - 5. Let m be x(-11). Let g be 11\/308 - 2\/(-8). Is g <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 279*i - 96238. Give s(345).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - d - 2. Suppose 4*c - 5 - 3 = i, 3*c = 3. Let v be x(i). What is the highest common divisor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -515 + 73583\nAnswer: 73068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -9. Let f be (v\/(-30))\/((-6)\/(-9)). Which is the second biggest value? (a) -0.04 (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20457982, -3, 0 in increasing order.\nAnswer: -3, 0, 20457982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpejpbppjjjpebb. What is prob of sequence pb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*1)\/(6\/(-8)). Let y = 6 + g. Suppose y*d = -5*a + 43, d = -a + 4*a - 6. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 167, 2\/17, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:36 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - 8*s. Let a(q) be the first derivative of 0*q**3 + 2\/5*q**5 + 0*q + 0*q**2 + s*q**4 + 2. What is c in a(c) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57.44159 millennia?\nAnswer: 689299.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.8 - -10. Let i be ((-2)\/(-6))\/(2\/(-15)). What is the nearest to -1\/3 in -3, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -20, 5\/318, -0.06 in descending order.\nAnswer: 0.3, 5\/318, -0.06, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 95.71*-22\nAnswer: -2105.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - q**4 + (4*q - 2*q**3 - 4*q)*(-7*q + 3*q + 2*q) - 26422*q**3 - 6*q**4 - 137 + 5*q**4 + 26424*q**3.\nAnswer: 2*q**4 + 2*q**3 - 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**5\/60 - 33*l**4\/2 + 395*l**3\/6 - 28*l**2 - 16*l + 2. Factor o(q).\nAnswer: (q - 395)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -1\/6, 0.1, 1\/5, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*m + 4*b + 6 = -116*m, 0 = -2*m + 4*b + 4. Solve -2*z - z - 8 = -p, 1 = 5*p - m*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1471\nAnswer: 441.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:35 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 276 = 3*k, 0*a + 2*a - 394 = -4*k. Let f = k - 80. Suppose -7*i + f*i = 1140. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 552?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l + 3. Let g be o(3). Suppose -3*u + 7 = i, 58*u + 5*i - 35 = 57*u. Which is the nearest to u? (a) 6 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21341 or 21405?\nAnswer: 21405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114.6 - 106. Let i = y - 9. What is the biggest value in -3, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 84895250 + 84895250.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38824, -76503, -114202, -151921, -189660?\nAnswer: -227419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - e4f96?\nAnswer: -e4f94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Let g(p) = p**2 - 3*p**2 + 4*p + 3*p**a. What is the remainder when g(-6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 54 = -4*f, -4*f - 5*q - 286 + 332 = 0. Solve 5*t + f = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 - 19 = -3*d, -4*d + 22 = -2*b. Suppose 13 - d = 5*p. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 9 - 39. Suppose -2*i - 2*m + 5 - 3 = 0, 0 = -t*i + m + 23. Solve -15 + 35 = i*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107835*a - 108846*a + 72792 for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*f + 73185 = 0, -f = 136*i - 138*i + 48814. What are the prime factors of i?\nAnswer: 23, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 3. Let d be u(-6). Let r be (1 - 4)*(-1)\/d. Sort 3\/5, 0.3, r in increasing order.\nAnswer: 0.3, 3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*w + 2045, 43 - 1572 = -3*b + w. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**2 - 4*z + 7. Let q(d) = -2*d**2 + 36*d. Let c be q(18). Let w(p) = c*p + 37*p**2 - 3 - 31*p**2 + 2*p. What is 4*h(b) + 9*w(b)?\nAnswer: 2*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1323763000 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 9*y + 7. Suppose 0 = y*d + 3*z - 2*z - 1, 0 = 2*d - 4*z - 24. Suppose -d*w = -8*w + 132. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -443, -1674, -3725, -6596, -10287, -14798?\n\"Answer: -410*k**2 - k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9472 * -4.\nAnswer: 37888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, -2\/9, 2, -0.3, 6286.\nAnswer: -4, -1\/3, -0.3, -2\/9, 2, 6286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + t - 4*t + 148 - 3 + 78 to d*t + j and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Let o(b) be the first derivative of 69*b**2\/2 + 383. What is o(r(t))?\nAnswer: -69*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let a be (-1 + 2)\/(-17) + 19\/323. Suppose k = m - 2*f - 195 - 8, 4*m + 5*f - 864 = a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9180\/(-2380)*16\/144.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 5\/3)*3. List the prime factors of (-1)\/3*(-90)\/b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28120 (base 12) to base 3.\nAnswer: -2211002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.10391 from -660.082.\nAnswer: -659.97809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {x: 6, f: 8, g: 1}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565.095ml in litres?\nAnswer: 3.565095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 divided by -338?\nAnswer: 463\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000 - 1?\nAnswer: -10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8278162 + 33?\nAnswer: -8278129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 36 + (-4)\/(-4 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -441. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 171*r**2 + 204*r + 5765. Determine x(-170).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(y + 0 + 0) + 4*y + 3 - 3 + (3 + 0 - 1)*(0*y + y + y) + (2 + 5 + 1)*(122 - 122 + 18*y).\nAnswer: 151*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2894880 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {c: 4, v: 2, d: 3, x: 4, m: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (2 - (-94)\/(-18)). Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 15. Suppose -27*y - 196*y = -58*y - 6435. Calculate the remainder when y is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163527979291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 31*k + 592. Give l(-20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 7*a + 5*a - 5*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15683 divided by 1.\nAnswer: 15683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 5. Let q = l + 5. Solve -q*c = -5*g - 12, g - 9 = 3*c - 6*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873912?\nAnswer: 2, 3, 13, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 115*f**3 + f**2 + 2*f + 2. Let j be y(-2). Let l = j + 621. Let t = 2963\/10 + l. Calculate the common denominator of t and -69\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 153?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -32*p**2 - 57*p - 15. Calculate z(-3).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + m - m + m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 2*s + 0 + 0*s**3 + 0*s**2 + 1\/12*s**4. Let v(p) = 7*p**2. Give v(m(c)).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1329 smaller than -4.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (3 - (7 - (1 + -2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 3*h + 3*h + 2*h - 16*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (-3 + (-2 - -3))) + -3 + 10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1086000 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 73320728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2, y: 1}. Give prob of sequence zy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*r - r + 62, 2*x + 4*r = 114. What is the remainder when 80\/3720 + (-36822)\/(-279) is divided by x?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhzh when four letters picked without replacement from zhhz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/((-4)\/(-40)). What is the closest to -2\/7 in q, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, 22\/21, -1, 32, -2\/5, -2\/17?\nAnswer: 22\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20683810 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 20*z**2 - 30*z - 76. Is g(-19) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154360 (base 7) to base 4.\nAnswer: 13122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 2. Let t(a) = -172357*a. Give u(t(o)).\nAnswer: -59413870898*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6121 + -6125. Let v(a) = 48*a. Let m(b) = 7*b. Give h*v(r) + 27*m(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*l - 17, 1593*b + 12 = 1595*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -11 + (-4 - -7 - -26)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 38.4. Let c = x + 0.6. Let g = 3.05 - 0.05. What is the nearest to c in g, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7612 or -7610?\nAnswer: -7612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 8*c + 7. Let d be n(-7). Suppose 2*x = -5*z - 10, d*x = -z - 3*x - 2. Let s(b) = -3*b. Give s(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v - 15925 = -64*v - 18225 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y + 5. Let s(z) = z**2. What is p(s(m))?\nAnswer: -13*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 1.757.\nAnswer: 49.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5*v + 1, -28 = -4*w - 5*v - 107 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*u - u. Let i be u\/(3\/(-24)) - 1. Let s = 21 - i. What is the greatest common factor of s and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d**2 - d - 3. Let h(m) = -m**3 + m**2 - 1. Let v(p) = 2*h(p) - o(p). Let f(t) = -10*t**3 + 6*t**2 + 6*t + 6. Determine -f(z) + 6*v(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2545 and 46774555.\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*t + 14, -5*l = -l - 2*t. Suppose -2*n + 12 = a - 6*n, a - 5*n - 15 = 0. Sort l, 1, -3, a in descending order.\nAnswer: 1, a, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 26. Let t = 104 - 98. Let p be v(t). Suppose p*r - 3 = 3. Calculate the smallest common multiple of r and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -300?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/60 - l**4\/4 - 7*l**3\/6 + 2*l**2. Let r be p(7). Factor 1\/2*b**2 + r*b - 1\/2.\nAnswer: (b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 + 5*q**5 - 4*q**5 + (5*q + q - 4*q)*(0*q**4 + 0*q**4 - q**4) + 2*q**5 - 3*q**5 + 2*q**5 - 3*q**5 - 2*q**5 - q**5.\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + 10. What is the highest common divisor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -133*h**2*m**2 + 21*h**2*m + 2*h**2 - h wrt m.\nAnswer: -266*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 23040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -725032 and -725033 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.6. Let n = 3772\/143 + -280\/11. Let i = n + -63\/26. Which is the nearest to 0? (a) i (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-15)*s*s*s**(-2\/7) assuming s is positive.\nAnswer: s**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 687669350 and 6835?\nAnswer: 6835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*y + 63*y + 12 - 12.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 16*h - 17. Let t(i) = 3*i**2 - 24*i - 26. Let u(y) = 8*f(y) - 5*t(y). Let w be u(9). Solve -3*n - 1 = -5*a + w, -2*a - 6 = -5*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 - 6*a. Let h = -155 - -149. Let g(w) = w**3 - w. Give h*g(f) + o(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1012020?\nAnswer: -1012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 96. Which is smaller: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -16*g - g**4 - 1\/15*g**6 + 0 + 4\/3*g**3 - g**2 + 2\/5*g**5. Let l(c) = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-14)*22274\/4773)\/(3\/(6\/68))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -4)*(-69)\/276*135\/5. Solve -47 = -o*l + 88 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**6 - i**4\/4 - 107*i**3\/3 + 14. What is the third derivative of m(p) wrt p?\nAnswer: 360*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 32514 = 131699. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*h - 53 - 3*h**2 - 41 - 49 - 38 + 136.\nAnswer: -3*(h - 5)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7 - 3)*(-1 - p + 1) + (13 - 3 - 4)*(-3 + 6 - 1)*(-5*p - p + 4*p).\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845160761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a - 3. Let y be (12\/9)\/((-4)\/(-6)). Let o be i(y). Suppose -2*r - 12 = -o*r. Calculate the smallest common multiple of 18 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, -15441, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p - p)*(7*p - 7*p + 9*p)*(p**3 - p**3 + 3*p**3).\nAnswer: -54*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -112. Let j be (a\/(-9))\/((-3)\/9). Suppose 53 = 7*i - j. What is the common denominator of i and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**6 + 12*o**6 - 21*o**2 - 29*o**6 wrt o.\nAnswer: -1080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199214 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 111*m**4 + 15*m**3 + 114*m + 13. Let r(c) = 55*c**4 + 7*c**3 + 57*c + 6. Let s(l) = 6*k(l) - 13*r(l). Find the second derivative of s(h) wrt h.\nAnswer: -588*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7))**(-1\/31))**29 assuming f is positive.\nAnswer: f**(-58\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 12*t**2 - 18*t + 35. Give u(10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 411?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2830 + 2835. Which is the smallest value? (a) k (b) -2\/409 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 3*i**2 + 2 - 3*i**2 + i**3 + i. Let l = 90 - 92. Is b(l) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 774*q**2 + 286*q**2 - 1058*q**2 + 765*q**4 - 433 wrt q.\nAnswer: 18360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 5 + (3 + 3 - 5)*(1 + 8 - 3))*(18*k - 13*k + 66*k) to the form j + l*k and give l.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-9)*6 - 1. Suppose -l*a = 26 - 107. Suppose -5*q = -3 - a. Let i(n) = n**2 - 5*n + 4. What is i(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226503707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6345, -12689, -19033?\n\"Answer: -6344*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 43\/(-344) + 3\/24. Let j be 2\/3 + (-232)\/24. Sort -5, n, 3, j in increasing order.\nAnswer: j, -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -5*v**3\/3 - 2*v**2 - 4*v + 41. Let z(h) = -4*h**2 - 3*h - 3. Calculate 3*i(j) - 4*z(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1207 and 3579469.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13\/720?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 + (-3 - 0) + 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 55683876185.7.\nAnswer: 55683876183.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 4. Let x(o) = 56 - 200 + 57 + 40 + o + 54. Give x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 3. Let x be ((-6)\/2)\/((-27)\/54). Let n be f(x). Let y(d) = -3*d + 4. Let w be y(2). Put 7, n, w in decreasing order.\nAnswer: 7, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 + 12*p**4 + 1 - 23*p**4 - 2*p**3 + 1 to o + d*p + u*p**2 + r*p**3 + v*p**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*x**3 - 4 - 79*x**3 + 3.\nAnswer: 214*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2699 + -2674. Suppose -4*o + 6*o - 9 = -3*k, 5*o - 5*k = 10. What is the second derivative of 6*x**o - 27*x - 21*x**3 - z*x**3 + 10*x**3 wrt x?\nAnswer: -180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14502, 14505, 14510, 14517, 14526?\nAnswer: 14537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 22 - 31 = -5*n, 5*n - 56 = m. Let a(h) = -h - 12*h + n*h + 6*h. Let t(j) = -5*j**2. Determine a(t(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2234*l - 7. Let i(b) = 447*b - 1. Calculate -11*i(p) + 2*w(p).\nAnswer: -449*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 - 8*m**3\/3 + m**2 - 16*m + 20. Let z be b(8). Suppose 4*s - 3*s - 3359 = z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 5*z**2 - 2*z**2 - 3*z**2 - 4 + 4 + (-1 + 1 - 3*z)*(-3*z - 2*z + 3*z))*(-4*z + 3*z + 0*z) to the form x*z**2 + t + u*z**3 + w*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -11\/358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-97)\/388)\/((-2)\/(-28))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -19*a**5 + 2335*a**4\/4 + 14183*a**3\/4 - 5202*a**2 - 8145*a = 0.\nAnswer: -6, -1, 0, 2, 2715\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240787 is divided by 574?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**3 - 5*c**3 + 4*c**3)*(-4 + 1 + 2) + c**3 + 0*c**3 + 2*c**3 - c**3 - 6 - c**2 + 5 - 7*c**3 to n*c**3 + o + v*c + u*c**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 2*s + 5*s + 0*s + 2*s - 3*s + (-3 + 0 + 1)*(3*s + s - 6*s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*f = -4*t + 8, 3*t = 5*f - 8. Suppose 5*i - 772 = i + t*h, -5*h = -5. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1827 - -1828. Let g = 73 - 45. Is g smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33805 divided by -5?\nAnswer: 6761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6*l + 9*l = 42, -2*u + 3*l = -8. Suppose 0 = 2*s - 4 - 2. Calculate the remainder when u is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 86*o**2 - 938*o + 163. List the prime factors of j(102).\nAnswer: 70951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -861, -1692, -2525, -3360?\nAnswer: -4197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, 0, 0.3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:17 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g. Let i be d(2). Let r be 782\/368 - (9\/(-56) + 6\/21). Solve -3*f + 5*b + 23 = -i, 0 = -2*f - 2*b - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - 143\/39*-9. Solve -z = 22*w - 31*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-62)\/93*(-39)\/(-2). Is 18 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 502022415?\nAnswer: -502022413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**3 + 481*y**2 + 481*y - 2950 = 0 for y.\nAnswer: -59, -25\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 t when four letters picked without replacement from trtrprppptrr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 2*l, 109*c - 2*l + 7 = 106*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25344?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 4*c)*(0*c + 5*c - 4*c)*(-14*c**2 + 60*c**2 - 28*c**2).\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 37. Let n be v(11). Factor 8\/3*b - n*b**2 - 2\/3*b**4 + 8\/3*b**3 - 2\/3.\nAnswer: -2*(b - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 122. Let r(p) = -9*p - 3. Let l be r(-3). Suppose 4*o = -4 + l. What is the least common multiple of o and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211801835 to the power of 1\/2, to the nearest integer?\nAnswer: 14553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 455\/219 + -30\/73. Let u = 0 - -0.1. Put -4\/3, 2, u, w in decreasing order.\nAnswer: 2, w, u, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -47, -52, -57, -62?\n\"Answer: -5*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -226*a - 6844. Determine u(-30).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from hpyhyyy.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 3}. Give prob of picking 2 u and 1 d.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 - g**2 + 21*g**2 - 9*g**2 - 1011*g**3.\nAnswer: -1011*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1535.06 + 1531. Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Suppose -q*l = -k, 5*k = -5*l + 6*l + 70. Let t = k - 7. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 17*s**3 + 2*s + 2. Let d(n) = -33*n**3 - 5*n - 5. Calculate -5*c(x) - 2*d(x).\nAnswer: -19*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3101 (base 8) to base 12\nAnswer: -b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-4)\/(-1)) + 1. Let j be (-1)\/(-2) + (-2)\/4. Let o = j - n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t**3 + 187*t - 5*t**4 - 160 + 51*t + 15*t**2 - 55*t + 47*t = 0 for t.\nAnswer: -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 15*n = -280 + 60. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (1 - 7 - 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 21*l + 13. Give z(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*o**2*t*u + 90*o**2*t + 112*o*t*u + 158*t*u + 738313*t wrt u.\nAnswer: 57*o**2*t + 112*o*t + 158*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 22 + 85. Sort a, 5, -1, 110 in descending order.\nAnswer: 110, 5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 7*s + 2. Let w be 2\/(-5)*(21 + -6). Let m be r(w). Put 4, m, 5 in descending order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73*-188\nAnswer: 13724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 - ((-378525)\/(-12))\/(-5). Suppose 821 = -4*v + g. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150409300.\nAnswer: 2, 5, 1504093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16015, -64053, -144115, -256201, -400311, -576445?\n\"Answer: -16012*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -601, -1394, -2513, -3964, -5753, -7886, -10369?\nAnswer: -13208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98157?\nAnswer: 3, 32719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 26*q**2 - 33*q + 22. Let u(v) = v**2 + 3*v - 2. Calculate 4*b(t) + 44*u(t).\nAnswer: 148*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(1575\/28)*5)\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12415 + -12415.3. Let k be -3 + -1 + 8\/10. Which is the nearest to 0.3? (a) 0.2 (b) k (c) o (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddfdfdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*z + 203 + 20 = 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 2 + (-1599)\/(-117)*-3\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:54 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 13*k**2\/2 + 5. Let c(m) = 4*m**2 - 7*m. Let i(f) = f**2 - 46 + 46 - 2*f. Let g(t) = 4*c(t) - 14*i(t). Give r(g(u)).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + a - 61, -f = -3*f - 3*a - 41. Let b be 36\/16*f\/(-6). Let j = b + -4. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35956476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 627.1486kg?\nAnswer: 627148600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2312 - -2308.913. Let d = j - -3. Let a = 0.138 + d. Round a to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -15.4\nAnswer: 6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 - 26*v - 18. Let n be r(-7). Let h = -222 + n. List the prime factors of h.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 149990182, 299980364, 449970546, 599960728?\n\"Answer: 149990182*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 19741575.\nAnswer: 19741575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 1472*d**2 + 228216*d.\nAnswer: 2*d*(d - 514)*(d - 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-60) + 21\/(-5)*-9. Calculate the greatest common divisor of m and 456.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 1841927769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + 0 - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -1\/96*q**4 - 9*q**2 + 1\/480*q**6 + 0*q**5 - 1\/1680*q**7 + 0*q + 1\/48*q**3 + 0. Determine z so that n(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -4. Suppose -2*b - t = -49. Solve -4 + b = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2. Let f(v) be the first derivative of 1\/3*v**3 + 7 + 0*v + 0*v**2. Determine r(f(c)).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/230*9*15\/(-675)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + 4*(((-1 + sqrt(475) + 4)*-3)**2 - ((-5*(sqrt(475) + 2*sqrt(475)) - sqrt(475)) + -5)**2)).\nAnswer: 4240*sqrt(19) + 938152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020155447 to 6 dps.\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 12:07 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -63*h**3 + 2*h**2 - 4*h + 3. Give n(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103681 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 1\/4 (c) 1\/6 (d) 6\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17*l**2. Let g(h) = 12*h + 5. Determine g(o(n)).\nAnswer: -204*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662 times 5?\nAnswer: -8310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 19. Let q be b(-8). Solve 0 + q = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698 = 228*j + 151 - 165 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 10*c**2 + 10*c + 10. Let w be u(-4). Factor 6\/7 - 8\/7*g + 2\/7*g**w.\nAnswer: 2*(g - 3)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 47*h**2 + 19 - 3*h**2 - 77 + 22.\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94928 is divided by 23731.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(3159) + -2*sqrt(3159) - sqrt(195)\/sqrt(45))*-1)\/((5*sqrt(18)*1)\/(sqrt(96)*6)) + -3.\nAnswer: -3 + 1344*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 23*c + 3*c + 3*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-383781)\/399 + (-1)\/7. Let q = -536 - w. Is q a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88757.66 nanograms in grams?\nAnswer: 0.00008875766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 660*w + 7344.\nAnswer: 4*(w + 12)*(w + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5032 - -21?\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffm when three letters picked without replacement from ffmffmfmmm?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x + 1. Let b(d) = 9*d + 1. Let q(l) = 3*b(l) - 5*n(l). Give q(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/9 + 62*s\/9 + 20\/3 = 0 for s.\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -78.5 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708 (base 14) to base 5.\nAnswer: 21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -604, -606, -608, -610?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -3, -109.81?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*n - 4*c, 0 = -45*n + 42*n - 5*c + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1864.358 rounded to the nearest 10?\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -10*r - 1. Suppose -2*v + 6 = -8*v. Let c be n(v). Find l such that -c*l + 3*l**2 - 7 + 5 - 4 + 9*l**3 + 3*l**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 1. Let z(y) = 2*y**3 - y**2 - 3*y - 2. Let c(k) = g(k) + z(k). Calculate c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 27 - 7 = 0. Let u(r) = r**2 + 4*r - 1. Let y be u(d). Find the third derivative of 2*p**5 - 6*p**2 + y*p**2 - 3*p**5 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 14?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3.4 (c) 215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 147, 77, 7, -63, -133, -203?\n\"Answer: -70*f + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238032.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 225*q + 145. Sort 3, -14, -10, q, 1 in increasing order.\nAnswer: -14, -10, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127988967*w**2 + 308635900.\nAnswer: 255977934*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 + -0.119864. What is x rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 2536689?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 16*q = 193560. Let y = -8799 - q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*4*-5*sqrt(7)*3*6)**2.\nAnswer: 195955200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*t - 219*t = 509*t - 20091 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 14*f**2 - 31*f**2 + 17*f**2 - 161*f + 1325*f.\nAnswer: -4*f**3 + 1164*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 531.4962 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2438611 is divided by 2193?\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1139956237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - g - 4)*(1 - 1 + 2*g)*(3 + 2 - 6) + 2*g - 2*g - 7 + g**2 to w + b*g + s*g**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 92 = -2*u, -4*u + 185 = 5*z - 0*z. Suppose 0 = 6*o + z - 17. What is the units digit of (o\/1)\/((-412)\/(-208) + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29838500 rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i - 365. Let v be k(-41). Solve 2*x + 6 = -4*z, -10*z = -9*z + v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -89\/2*u**3 - u**2 - 88 + 0*u**4 + 0*u - 23\/6*u**5. What is the first derivative of m(f) wrt f?\nAnswer: -460*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 582 and 1548?\nAnswer: 150156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/22, 2\/7, -23778, 2, -2 in descending order.\nAnswer: 2, 2\/7, -15\/22, -2, -23778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9957, -9975, -9993?\nAnswer: -10011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrt when three letters picked without replacement from {t: 1, g: 2, r: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 97 + 0 + (-3 - -5). Let l be (-10)\/(-35) + r\/21. Solve -4*s + 18 = -l*n, -s - 4*s = -3*n - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10350, 46644, 107134, 191820, 300702, 433780, 591054?\n\"Answer: 12098*l**2 - 1748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 29 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:51 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53025 by 1515.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142320392 divided by -2194.\nAnswer: -64868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 1 + 1 + (-5 + 6 - 3)*(1 - 1 - 2*o) + 10*o + 5*o - 7*o + 3 - 3*o - 3 as p + r*o and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -252838 or -252839?\nAnswer: -252838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3864.\nAnswer: 1\/966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 22*l + 83. Calculate u(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39080 + 19*r**2 - 78112 + 39032.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 453698151*z**3 + 52*z + 184929 wrt z.\nAnswer: 2722188906*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485378.\nAnswer: 2, 3, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d + 442. Let z be q(26). What is the greatest common factor of z and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12 + (-15)\/4. Let y = -4 - d. Suppose -3*u = -y*u + 9, 0 = -5*x - 3*u - 109. What is x rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*j. Suppose g - j*g = -6. Suppose 3*s - 5*a = 48, -5*s + 16 = -4*s - 2*a. What is the remainder when s is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1231*p**3 + 364*p**2 - 4*p + 4. Let s(f) = -9*f**3 + f**2 + f - 1. Let l(d) = -j(d) - 4*s(d). Find the third derivative of l(g) wrt g.\nAnswer: -7170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.961 - 0.039. Let b = -21 - q. Let x = 0.06 - -0.34. What is the smallest value in x, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 0 + 48762 + -1 + (-8 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-30) + (-44)\/(-6). Solve 3*c = i*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3291848 divided by 1645924\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + 0)\/(4\/42) + 0. Suppose 0 = 58*l - o*l + 5. What is the third smallest value in -0.2, l, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**5 - n**5 + n**5)*(-5 - 1 + 1) + 0*n**5 + 3*n**5 + 0*n**5.\nAnswer: 18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**5\/120 + f**4\/4 - 4*f**3\/3 - 8*f. Let p(r) be the second derivative of q(r). What is p(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 + 9\/4*j + 7\/4*j**2.\nAnswer: (j + 1)*(7*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6594, 26379, 59356, 105525, 164886, 237439?\nAnswer: 323184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 186 - 198. Put 3, c, -0.3 in descending order.\nAnswer: 3, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 1)\/(20\/5). Sort 3, r, 0 in descending order.\nAnswer: 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88 in 4, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331332 = -20411*w + 135192 - 334546 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/7)\/a*a*a**(3\/4)*(a\/a**(5\/6))\/(a**(4\/7)\/a) assuming a is positive.\nAnswer: a**(101\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -746 (base 10) to base 15.\nAnswer: -34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*p - 192*p - 1239 = 162*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0 + 0*z**3 + 0*z - 1\/720*z**6 + 12*z**2 - 35\/24*z**4 - 1\/120*z**5. Let x(f) be the second derivative of v(f). Give x(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3 + 30*h**2 - 24*h - 576 = 0.\nAnswer: -8, -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y + 2 + 3*y**2 - 20*y + 32*y.\nAnswer: 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3808, 4042, 4436, 4990, 5704?\n\"Answer: 80*u**2 - 6*u + 3734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894984901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 10*b**5 + 165*b**4 + 785*b**3 + 515*b**2 - 2475*b + 1000 = 0.\nAnswer: -8, -5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88238 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*-2*sqrt(170))\/(-2*sqrt(810)*-1).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97341762237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -152, -229, -308, -389, -472?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -98044, -196091, -294138?\n\"Answer: -98047*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v + 15 + 3\/2*v**2. Calculate s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q + 15. Let s be ((-3 - 1) + -1)*(-3)\/(-3). Calculate u(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -128 and -0.9.\nAnswer: -128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177305892 is divided by 1395?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.61 + -39.61. Let n = -24.587 + 0.087. Let h = n + k. What is h rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -465*c - 90652. What is d(-195)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iigggiiigi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 110838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75816 and 3321?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20201010 (base 3) to base 8.\nAnswer: -11432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-28)\/(-8)*-1 + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 863, 960, 1121, 1346?\nAnswer: 1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, -4, -205, 2 in decreasing order.\nAnswer: 2, -4, -123, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44b - -9?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2836 and 6.\nAnswer: 5.7164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 9. Suppose 4*b - u = -b. Let r be 4\/6*(-12)\/(-8). Put -2, b, r in decreasing order.\nAnswer: b, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/4003 - -8013\/28021. Sort 11, 79, g in increasing order.\nAnswer: g, 11, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 3*s - 1 + 6 + 2*s. Let l(r) = r**2 - 3*r - 2. Let g be l(4). Let p be (2\/(-1))\/(1*g). Let z(y) = y**2 + 1. Give p*c(h) + 3*z(h).\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 13, 6, -3, -14?\n\"Answer: -u**2 - 2*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + z + 32 = -0*z, 0 = p - 4*z - 11. Let v = -1017 - -6143\/6. Find the common denominator of 74\/(-9)*p\/(-12) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24570586 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5434475*c**6 + 1300*c**2 + 13*c.\nAnswer: -652137000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(48)\/(sqrt(8)\/sqrt(2)) - sqrt(12))\/(sqrt(32)\/(sqrt(32)\/sqrt(4))) + -4 - ((2*sqrt(324) - sqrt(324))\/(sqrt(147)*2) + -2).\nAnswer: -2 + 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4425*d - 14614*d + 5147*d - 8985*d.\nAnswer: -22877*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, s: 7}. Give prob of sequence sv.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 12562?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*16\/6*12. Let i be -8 - 70*(-3 - -2). Let u = l + i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 3. Let a be z(-5). Suppose 4*w - a + 2 = 0. Let n be -2 - (w + -4) - 4. Let i(c) = 9*c + 7. Let j(x) = 5*x + 4. Determine n*j(s) + 4*i(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 159.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*l + 5*y, 2*l - 70 = -0*l + 4*y. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 103. Suppose 0 = -6*x - v*x + 246. Let d = 304 - x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8413000 rounded to the nearest 100000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-6) + (-1655031)\/(-954).\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 2. Let a(q) = -3*q - 3. Let x(s) = -s + 1 + 4*s + 2*s - 4*s. Suppose -6*f + 42 - 12 = 0. Determine f*x(m) + n*a(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129*y**2 + 366*y**2 + 152*y**2 + 2*y**2 + 274*y**5 wrt y?\nAnswer: 16440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 = 9*k. Let g = -173 - -178. Put 3, g, 4, k in decreasing order.\nAnswer: g, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*t + 73 = -0*m, -47 = -2*m - 5*t. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15 - 5 + 21 - 2*n**2 - 2*n. Let z be h(1). Let t be 2 - (-1)\/(-3)*-3. Sort -4, t, z in increasing order.\nAnswer: -4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 34 - 11. Let p be (2 - 1) + (34 - 0). Suppose -b = -2*t + p. Calculate the highest common factor of t and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 3*k - 4. Let x(h) = -3*h**2 - 4*h + 5. Let r = 5 - 9. Determine r*d(a) - 3*x(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*(-896)\/14. Let y = a + 3. Calculate the remainder when y is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699434563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185 - 9681*k + 9*k**2 + 350 - 3*k**2 + 9681*k to z*k + o + r*k**2 and give o.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, y: 4, k: 1}. What is prob of sequence ymk?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -2\/9, 2\/7, 3\/10319?\nAnswer: 3\/10319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z + 5. Let i(h) be the third derivative of -h**3\/6 - h**2. Let d(c) = -6*i(c) - q(c). What is d(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 259*j + 1306. Calculate p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 8*q**2 - 3*q**2)*(-2*q**3 - q + q + (1 - 1 - 3*q**2)*(5*q - q - 2*q)).\nAnswer: 80*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7195176 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 468620353?\nAnswer: -468620347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 4 - (11 - 2) - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 5. Let n(y) = 8*y + 14. Let t(p) = 11*b(p) + 4*n(p). Let h be (-2 + 0)*5 + 18\/30*5. Calculate t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 19 + j**2 - 33 + 11 + 4*j. Suppose 34*s - 22*s + 60 = 0. What is z(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142, 162, 180, 196, 210, 222?\n\"Answer: -b**2 + 23*b + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4951536685 to the power of 1\/2, to the nearest integer?\nAnswer: 70367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 8 = 0. Let i(b) = -b**2 + 10*b - 3. Is i(x) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 1. Give s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2263 and -54\/949?\nAnswer: 29419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.1 (c) 305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:26 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21012022 - 1?\nAnswer: 21012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*s**4 + 145728*f**3*s**2 + 15*f**3*s + 2*f**3 + 2*f*s - 2*f - 33887*s wrt s?\nAnswer: 36*f**3*s**2 + 291456*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/52 + (-111)\/39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23892046 divided by 19\nAnswer: -23892046\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*c + 90*c - 198*c = -176 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526724?\nAnswer: 2, 11, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2)*(-10 + 1). Let y = j - -48. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53\/4 of a tonne?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 8) to base 16\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-10))\/(15\/(-80)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 676*y - 676*y - 3*y**2. Let k(x) = -22*x**2 - 245 + 245. What is k(q(j))?\nAnswer: -198*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**5\/15 - g**4\/2 + 4*g**3 - 20*g**2\/3 - 346. What is i in m(i) = 0?\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11407573, -22815147, -34222721, -45630295?\n\"Answer: -11407574*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 - -99. Let s be f - (0 + 0 - 0). Let x = 9 - s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7113329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 22229350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*j = -1025 - 717 - 106 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4321.1 + -4323.2613. Round x to 2 decimal places.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3*sqrt(156)*-3 - sqrt(156))\/(sqrt(12) - (sqrt(12) + sqrt(48) + sqrt(1728)) - sqrt(12) - sqrt(12)))**2.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-14\/9)*(v**(-1\/2)\/v)**(2\/39) assuming v is positive.\nAnswer: v**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1655*w + 22232 - 2894 = -8797 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 4796.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -525, -407, -283, -153, -17, 125?\n\"Answer: 3*i**2 + 109*i - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 4:35 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 11:00 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2858, 2865, 2872, 2879, 2886?\n\"Answer: 7*w + 2851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16462, -132228, -446390, -1058146, -2066694?\nAnswer: -3571232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 - 2*u**4 + u**4 + (2*u**3 - 2 + 2)*(-5*u + u + 5*u) - 3*u**2 + 295*u**3 + 3*u**4 - 297*u**3 + u**4 + 18*u**4 + 252*u**2 - 252*u**2.\nAnswer: 26*u**4 - 2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63694?\nAnswer: 2, 31847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/10 and 6*(204\/56 - 3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-733623)\/5922 + 124)*(-2 + 33\/10 + -1)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361 - 361.476. Let h = r + 0.076. What is the second smallest value in -0.3, 0, h, -108?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -505273851, -505273849, -505273847, -505273845, -505273843, -505273841?\n\"Answer: 2*p - 505273853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36241 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*q + 607, -2*q + 5*q = c + 143. Let w = -110 - c. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l + l + 5*l)*(1 + 0 + 1) - l + 0 + 0)*(-5*l**3 + l**3 + l**3) + l**4 - 3*l**4 + l**4.\nAnswer: -22*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28738 + -16553. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 668449*q**4 - 4170023.\nAnswer: 2673796*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128813 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/283525 and -68\/34023.\nAnswer: 850575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68638369 at least as big as 68638367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**4 + 4818973*j**3 - j**2 + 26210664*j.\nAnswer: 168*j + 28913838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d + 58*d - 55800 = 0. What are the prime factors of (-30)\/(-4)*d\/225?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -z + 16, 2*z + 127*j - 14 = 123*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 6*r**2 - 6*r + 1. Let j be f(7). Let h(v) = -v + 3*v + j - 21. Let a be h(10). Solve a = -2*w - 3*i - 0, 4*w = -i + 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/36)\/(11347\/34041)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -25086.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitcccctciccivtictt. What is prob of picking 1 i and 1 t?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4*f + 5*f)*(4*f - 2*f**2 - 4*f)*(4 - 1 + 6)*(-2*f - 1 + 1 + (3*f + 2*f - 7*f)*(-5 + 0 + 3))*((4*f - 2*f - 3*f)*(-4 + 4 - 2) - f + 5*f - 2*f).\nAnswer: -144*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7873, -32465, -73443, -130801, -204533?\n\"Answer: h**3 - 8199*h**2 - 2*h + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4352 - 3924 = -4*r. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7472*d**3 - 9523*d**2 wrt d.\nAnswer: 44832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 9, d: 3}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*(w\/w**6)\/w))\/(w\/(w*w\/w**(1\/5))))\/(w**(-2\/25)\/((w\/w**7)\/w)) assuming w is positive.\nAnswer: w**(22\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*h + 1164 - 1164)*(3*h + 5*h - 5*h) - 2*h**2 + h**2 - h**2 + (2*h - h + h)*(2*h + 1 - 1) to the form f*h**2 + m + u*h and give f.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 28126.9772\nAnswer: 28125.9772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1589940 divided by -4\nAnswer: -397485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(45) + sqrt(3645)*-5)**2.\nAnswer: -261360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8 and -27\/811562.\nAnswer: 3246248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -51?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 6. Let p be -4 + 5\/(10\/6). Let b(i) = 12*i - 2. Let m be b(p). What is the lowest common multiple of 4 and v(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17243 - 4*i - 17243.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-20))\/((-2)\/5). Suppose -5*s - 5*t = -10*t - 320, d*s = -t + 261. Let x = -22 + 48. Calculate the greatest common factor of x and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let f be b(0). Suppose f = m - 9. Solve -3*k - 11 - m = 5*q, 4*q = -2*k - 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 85.23736mm?\nAnswer: 0.00008523736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4724.2 - 4774. What is the smallest value in v, -4, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -21. Let d = o - -9. Solve y - 3 + 4 = d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/31373 or -18887?\nAnswer: -18887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 642 - 145. Let u = b + -66. Put -0.4, -0.1, -5, u in ascending order.\nAnswer: -5, -0.4, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 5. Let z(y) = y**3 - 7*y**2 - 11*y + 7. Let d be z(8). Let u(r) = r + 19. Let i be u(d). Suppose -i*w + 8 + 0 = 0. Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 3*v + 3*v. Let t(c) = -2*c**2. Give m(t(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6945 divided by 5\nAnswer: -1389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*p = 70, 6*p + 238 = -46*b + 29*b + 21*b + 4*p for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67404\/5 - 13383. Let h = l - 16127\/165. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*g = 130*g. Factor 0*k**3 - 2\/13 + g*k - 2\/13*k**4 + 4\/13*k**2.\nAnswer: -2*(k - 1)**2*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30)\/((-7)\/112*4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -21252\/16843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153250435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*1*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (2 - (-5 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 55665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43384149.\nAnswer: 3, 47, 102563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2. Let k(h) = 8250*h - 1. What is k(s(q))?\nAnswer: 24750*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-35) + (18\/(-54))\/(14\/(-46)). Which is the second smallest value? (a) l (b) -0.04 (c) 143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 2*p**2 + 4*p + 18. What is the units digit of d(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -562*k - 6055. Give f(-12).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-9 - -1 - 0) + -1) - 0 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -12*m**3 + 4*m**2 - 121*m + 120. What is d(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-6 + -2) - 5) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*x**4 - 337260*x**3 - 632025230*x**2 - 421237740*x - 70200045.\nAnswer: -5*(x + 3747)**2*(3*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251415 = -103*u - 327559 + 71390. Round u to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162030245?\nAnswer: 5, 13, 719, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*p + 4, -2*x - 2*p + 2 = 0. Suppose -4*r - 8 = 0, -14 = -5*j + x*r - 0*r. Solve 14 = -2*g - j*n + 4*n, g = -3*n + 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 - 4856*v\/3 + 2947592\/3.\nAnswer: 2*(v - 1214)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4796 - 464.\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-24)*(-87)\/(-290).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108.8 - -109. Which is the fourth biggest value? (a) m (b) -0.12 (c) -1\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52304 and 8456?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12426 divided by -4142\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -35*l**2 + 20*l + 136. Let k(b) be the first derivative of -4*b**3 + 7*b**2\/2 + 46*b - 87. Let t(i) = -17*k(i) + 6*s(i). Differentiate t(r) wrt r.\nAnswer: -12*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*w - 0*w - 5141, -4*w + 10275 = -5*a. List the prime factors of w.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + q = 220. What is the greatest common factor of q and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15058 or -3402?\nAnswer: -3402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 22 - 22)*(-16*t**2 - 11 - 3*t**3 + 13*t**2 + 9) in the form v*t**4 + q + g*t + u*t**2 + y*t**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*w + 4*w, 4*u - 2 = 2*w. Let f = w - -7. Determine j so that 4*j**2 + 8*j**3 + 2*j + 2*j**2 - f*j**3 + 2*j**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 529551628*f + 35053115839681298.\nAnswer: 2*(f + 132387907)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*j - 3*u - 23, 32*j + 384*u = 387*u - 178 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, l: 8, r: 5}. What is prob of picking 4 s?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 793\/2 (b) 0.1 (c) 0.2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 143*t - 15. Let q(c) = -427*c + 52. What is -7*a(y) - 2*q(y)?\nAnswer: -147*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssrsqssvvqesqrsrs. Give prob of picking 2 q.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -840, -4860, -11566, -20958, -33036, -47800?\n\"Answer: -1343*s**2 + 9*s + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {m: 7, w: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2121336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*v + 8 = -117*v - p, -p - 2 = v. Let a(q) = -4*q**3 + 3*q**2 - 3*q + 2. What is a(v)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944) - -2*sqrt(1944))\/(sqrt(192)\/sqrt(8)))\/(sqrt(27)*-2*2*-5).\nAnswer: 3*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3564576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 45*y**2 + 13*y + 161. What are the prime factors of m(12)?\nAnswer: 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(3\/10)\/q)*q**(-8))\/(q\/(q**(-2)\/q))**(3\/19))**10 assuming q is positive.\nAnswer: q**(-1317\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1532578 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyz. Give prob of sequence pz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 3*o - 1. What is a(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235456 is divided by 18112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56, 273, 642, 1169, 1860, 2721, 3758, 4977?\n\"Answer: k**3 + 70*k**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/1965 and 36\/3275.\nAnswer: 9825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 o when four letters picked without replacement from {u: 2, o: 3, c: 7}.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149335 - 1?\nAnswer: -1.149335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 4.006?\nAnswer: -0.04006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 8:07 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -441*h**2 + 196246*h - 521. Calculate v(445).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(0*w**3 - 4*w**3 - 5*w**3) + (-5 + 11 + 4)*(0*w**3 + w**3 + 0*w**3).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 5374476917.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 5:29 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/8*(2 + 10). Let v be (y\/(-45))\/((-1)\/(-39)). Let h = v - -19. What is the highest common factor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 2*r**2 - 5*r - 2. Let w = -4 - -8. List the prime factors of y(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**3 - l - 1. What is the units digit of y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**2\/2 - 19*b + 2. Let j be (2\/3 + 832\/(-24))*(-53)\/106. Calculate v(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 4*d**3 + 5*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 + 17*f**3 + 2*f**2 + 10*f**3 - 5*f - 3*f**2.\nAnswer: 39*f**3 - f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 54*v**2 + 2*v - 3. Let c be 50\/(-10) + (5 - -2). Let m be f(c). What is the greatest common factor of 155 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182268, -364510, -546752, -728994?\nAnswer: -911236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38318 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1154 = -2*w + 4*y, -5*y - 3728 = -5*w - 818. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1650965?\nAnswer: 5, 61, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 247, 540, 833?\n\"Answer: 293*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 28 = -0. Let n be -4 + (-1)\/4*0. Let g = n + i. Solve 0*s = -3*s - g*u + 6, -3 = -5*s + 2*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -825*d + 1. Let g(n) = -4121*n + 6. Calculate 2*g(i) - 11*x(i).\nAnswer: 833*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.2, 1\/91654183, 3\/8?\nAnswer: 1\/91654183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11789061, 11789065, 11789073, 11789085, 11789101, 11789121?\nAnswer: 11789145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -37*n - 5. Let x(i) = 147*i + 21. Calculate 21*m(q) + 5*x(q).\nAnswer: -42*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1093501.5 minutes?\nAnswer: 18225.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20990*x**3 - 36*x - 17 wrt x?\nAnswer: -125940*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17647625.\nAnswer: 5, 141181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 48 = -z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97 or -6.5?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + r + 3. Let s(b) be the second derivative of b**4\/6 - b**3\/6 - b**2 - 7*b. Let k(f) = -2*i(f) - 3*s(f). What is k(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/4057 or 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*d**3 + 2\/11*d + 0 - 4\/11*d**2 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000657 rounded to 7 decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324*f**4 - 15393*f**2 + 16210686*f.\nAnswer: -3888*f**2 - 30786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 93534, 93535, 93536?\n\"Answer: x + 93533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11454, 11726, 12000, 12276?\n\"Answer: o**2 + 269*o + 11184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277366, -555790, -834214?\nAnswer: -1112638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3109, 2117, 459, -1865, -4855?\nAnswer: -8511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = -3. Find the common denominator of 3 + (-172)\/6 - y*-1 and 32\/(-14) + 2 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4388800 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42616.\nAnswer: 2, 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2 - 2*o + 8409. Let k be y(0). Let m = k - -2064. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839312 is divided by 3649.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:37 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306528 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-249)\/(-24) - 9\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*l**3*t**2 - 3*l**3*t + 45326*l**2*t**3 + 5*l**2*t + 2550*t wrt t.\nAnswer: -74*l**3 + 271956*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 519257 - 519257 + w**2. Let h(a) = a**2 - 683. Give h(u(v)).\nAnswer: v**4 - 683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14644784.\nAnswer: 2, 7, 11, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25071368 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*l - 2*t = -296*l + 4, 0 = 5*l - 15*t - 30 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/80 and 109\/140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -29, -21, 21, 109, 255, 471, 769?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 4*k - 48*k**4 + 53*k**4 - 8*k + 2 + 137*k**3 - 136*k**3 to the form j*k**2 + h*k + a + i*k**3 + q*k**4 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -145\/39 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5, 0, 2\/79, -2, -9381, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + s**2 + 12*s**2 + (-23 - 22 - 17)*(4*s**2 + 4*s**2 - 2*s**2) in the form u*s + h + n*s**2 and give n.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express (4*g + 0*g - 5*g)*(g**2 + 2*g - 2*g) + 5*g - 635472*g**3 - 14*g + 5*g**2 + 635469*g**3 in the form w + z*g**3 + p*g + r*g**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/7)*t)**3)**34\/((t\/t**(-1\/4)*t*t)\/(t*t*t**(-3\/7)*t*t)*(t\/(t\/(t\/(t*(t**(3\/4)\/t)\/t))*t))\/(t\/(t\/t**(-3\/4))*t)) assuming t is positive.\nAnswer: t**(6537\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 172*r + 169*r + 12210, x = 3*r + 6078. Calculate the smallest common multiple of 508 and x.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-120)*-6*-4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2 + 3*q - 5*q**2 + 0 + 3 - q. Let v be a(-1). Let j = 14 + v. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14616, -14\/5, 2 in descending order.\nAnswer: 14616, 2, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 2 = -4*o. Suppose -21 = -2*l - 1. Suppose o*m - l = -2. Solve -3*v - 25 = 5*b, -31 + 11 = m*b + 4*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 93 = -3*z. Suppose -3*y = -3*s - z - 31, 0 = 2*s - 5*y + 31. Is s smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 142, -1\/28, 1\/8?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 15*g + 18. Let x be s(-6). Suppose -3*p - 6*p + 216 = x. What is the remainder when p is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 3. Let v(a) = 1. Let p(j) = -d(j) - 3*v(j). Let l = -10 + 12. Let w(m) = -91*m + 91*m + l*m**2. Determine p(w(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(-7)\/((t\/t**(-1)*t)\/(t*(t\/((t**(2\/19)*t)\/t))\/t*t)) assuming t is positive.\nAnswer: t**(245\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113857 and 14596?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 7*m**5\/120 - 5*m**4\/48 - m**3 - 43*m**2 - 2*m. Determine l so that u(l) = 0.\nAnswer: -1, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2703*l**2 + 2664*l.\nAnswer: 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003607 to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -1, -2*g + g = -2*d - 3. What is the units digit of 7 + -6 + 16 + g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13828 + 9584 - 5*k**3 + 7*k**2 - 7*k**2 + (1 - 2 + 2)*(2*k**3 - 2*k**3 - k**3).\nAnswer: -6*k**3 - 4244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -33\/17 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 - 114. Suppose 5*k - 5*s - 35 = -0*s, k = -v*s + 7. Let z(t) = 2*t**3 - 4*t**2 - 5*t + 14. Is z(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 108813 and -1\/57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19590 less than 19591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131982963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3109 (base 13) to base 14.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -802\nAnswer: -1\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffnb. Give prob of picking 2 f and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*l - 4, -2*l = l - 2*g - 2. What is the lowest common multiple of l and 32\/12*(-9)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9216803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 99. Solve 0 = 2*j + n + 9, -u*j + n = -0*j + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*3.9\nAnswer: -1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13690 and 7474?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 4*v - 3. Let o be x(-3). Suppose -3*g - 3*l + o = 0, -5*g + 6*l - 2*l + 48 = 0. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8043255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and (((-33)\/(-2))\/11)\/((-2583)\/39).\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 12*c**2 - 13*c. Let l be (-30)\/4*(-18)\/45. Let t be (l - -10)\/(-3 - -2). Let q be j(t). Solve 3*h + 6 + 0 = q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33596, -66933, -100270, -133607, -166944, -200281?\n\"Answer: -33337*j - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 539\/70 - (-36)\/120. Solve -135 = -y*g - 95 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/120 - o**5\/40 - o**4\/48 + o**3\/12 + 2*o + 490. Factor k(q).\nAnswer: q*(q - 2)*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 1, q: 1}. What is prob of sequence bh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 124632 divided by 5\nAnswer: 124632\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -20020 (base 3) in base 6?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547838?\nAnswer: 2, 273919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 5:32 AM?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83 + 3?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (537 - 61 + 193)*(4*a - 3*a + 0*a).\nAnswer: 669*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + (3 - (-1 + 6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/32 + 5)\/((-209)\/(-88))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 302 = -193. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 y, and 1 s when four letters picked without replacement from {g: 1, e: 1, y: 4, a: 1, s: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 14*q + 3*q)*(-3 + 3 + 2)*(-q - 2*q + 4*q).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.7154 micrograms in nanograms?\nAnswer: 953715.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 17. Let l be i(-30). Let f(y) be the first derivative of 1\/2*y**2 + l + y. What is f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a710 + 6?\nAnswer: a716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 808 + -11301\/14. Calculate the common denominator of g and -143\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:44 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -f - 72, -q + 32 = -f - 28. Which is bigger: f or -63?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, m: 1, x: 3, i: 1, d: 2}. What is prob of picking 3 d and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615353 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/75*(1 - 4). What is the closest to 0.03 in 2\/15, j, 3\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 0, 0.4, -6 in increasing order.\nAnswer: -6, 0, 0.4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2022)\/(-2)*(-10 + 11).\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4\/5, -1\/8, -1\/5, 2\/3 in descending order.\nAnswer: 4\/5, 2\/3, -1\/8, -1\/5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115)\/11 + (-3)\/(-2) + 272\/32.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46520678?\nAnswer: 2, 757, 30727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*n = 1 + 16, 3*n = 4*d + 7. Solve -d*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 426785 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let j(w) = 4. Let u(y) = y + 3. Let c = 0 - -4. Let a(f) = c*u(f) - 3*j(f). What is a(i(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9149*n**2 - 15983*n**2 + 11368*n**2 - 5 + 5 to the form f*n**2 + i*n + k and give f.\nAnswer: 4534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = -16*n - 93. Calculate the remainder when ((-42)\/5)\/(n*10\/375) is divided by 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70.77 > -9\/1793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5515574 divided by 2757787?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + ((sqrt(847)*4)**2 - sqrt(7))) + -1 + (-2*sqrt(7) + -2)*-5)*-4.\nAnswer: -52*sqrt(7) + 162588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97808?\nAnswer: 2, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**3 + 14*z**2 + 17*z + 48. Let q(p) = -4*p**3 + 14*p**2 + 16*p + 45. Let t(v) = -3*d(v) + 4*q(v). Calculate t(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d - 5*w + 35, -9 = 3*d - 3*w. Let j be ((-1)\/d)\/((-1)\/(-2)). Let o(i) = 3500*i**3 - i**2 + 1. Let g be o(j). Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 6. Let b be s(6). Let a(f) = f - 3. Let y be a(11). Let r = y + -4. Put 5, r, b in increasing order.\nAnswer: b, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18924 (base 16) to base 6.\nAnswer: 2053540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137393 times 0.002?\nAnswer: 2274.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9060157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + r + 1226 = 0, -p + 182*r = 187*r - 1214. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(117)*-2 + -3.\nAnswer: -6*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -50234404?\nAnswer: 50234355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 34 = 31. Let a be 2\/x*(-5)\/(10\/(-444)). Let h = -13 - a. What is the greatest common divisor of h and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 44955, -261, 4\/9?\nAnswer: 44955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let w(s) be the first derivative of 1656*s**2 - 608. Determine w(r(c)).\nAnswer: -6624*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b + 1. Let a = -32 - -33. Give w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 53, 163, 379, 737, 1273?\n\"Answer: 6*r**3 - r**2 + r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 4*x - x - 83)*(-11*x - 12*x + 5*x) to the form k + l*x + h*x**2 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 729, 2059, 4243, 7467, 11917, 17779?\nAnswer: 25239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -21. What is the tens digit of 6\/l - 1046\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 6. Let z be 5\/5 + -4 - 2. Calculate h(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1779*g**2 - 5336*g - 21. Determine m(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1, -5, 1658 in descending order.\nAnswer: 1658, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 36. Let k be m(15). Let j be (-2 + k\/(-6))*2. Let l = j - -25. What is the least common multiple of 16 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(3\/4)*s)\/((s**(-2)\/s)\/s))\/((s**(2\/3)\/s)\/(s**(2\/9)\/s)))\/(s**42*s**(3\/2)*s**(-2)) assuming s is positive.\nAnswer: s**(-1231\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Suppose 3*n = -3*s + 302 + 43, m*s - 105 = -n. Calculate the greatest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2973 is divided by 1572?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18)\/i*i)**(-20\/7) assuming i is positive.\nAnswer: i**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 30 - 3. Suppose 10*d = 11*d + g. Let c = 64 + d. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*d = -20, d = -3*w + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 9*g + 3. Let m be q(4). Solve u = -2*v - 2, 5 = 5*v - 2*u + m*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 divided by -500\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 87898 + 22528 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2f78 (base 16) to base 8\nAnswer: 27570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 0 + (-133 - 11). Let w(p) = p + 203. Let z be w(0). Let g = z + c. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -u - 99, 128 - 179 = -3*z + 2*u. Calculate the highest common divisor of z and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38412 times 1.1\nAnswer: 42253.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 5*q - 1\/4*q**4 + 0*q**2 + 2*q**3 + 4. Let k be t(6). What is the highest common divisor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/12 - 2*q**2 + 2*q. Let a be i(-3). Sort a, -2, 0 in increasing order.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/387*(-45)\/10*-13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702\/(-429) + 16\/(-44).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 4, 0.2, 0.1, 3\/2, -0.235, -16\/11?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*f + 18, 19*f + 5*v = 16*f + 3. Let d(o) = 3*o - 2*o - 3 + 9. Calculate d(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -8. Suppose v = -2*l - 0*l - 3*t + 112, -4*t - 204 = -4*l. Let s = l - 29. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + 3.7. Let g = 58 + -63. Let d = w + g. What is the closest to 1 in d, 6, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3\/3 - 5*x**2 - 7*x + 2. Let c be l(-5). Let j = -10 + c. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/6)\/(21\/(-18)). Which is the third biggest value? (a) h (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 30. Let n(q) be the second derivative of -q**4\/4 + q + 69. Calculate n(g(b)).\nAnswer: -3*b**2 - 180*b - 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52924585*q**3 + 1165*q**2 + 3462*q wrt q?\nAnswer: -317547510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -1\/6 (b) -5\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 v when four letters picked without replacement from vvlllxxxvvvvxxvlvl.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2625839*0.018\nAnswer: -47265.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 + -152. Find the third derivative of -n**2 + 2*n**3 - 16 + n**2 + 6*n**3 - n**t wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 689605.65623 + -689545. Let r = -60.6 + w. What is r rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 18 = -a, -3*z - z + 12 = -4*a. Let q(y) = y + 1. Let u(b) = 5*b + 3. Give a*q(g) + 2*u(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = -15*c + 261 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.030012 times 4\nAnswer: 0.120048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16829*c**3*d**2*k + 41*c**3*k - 3*c**2*d - 47*c*d*k - 2*c*k + 3*c - 4*d**2*k + 9*d**2 - 2*d wrt d?\nAnswer: 33658*c**3*k - 8*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 119*r**2 - 32370*r + 64740. Determine p(2).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9615780 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 1195*i - 32240.\nAnswer: -5*(i - 208)*(i - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(2\/9)\/y))\/y)\/(y*y*y*y*(y\/(y*(y*y**(-18))\/y*y))\/y*y)*y\/(((((y\/(y**(-26)*y*y))\/y)\/y)\/y)\/y)*y*y**(-13\/4)*y)**(-10\/7) assuming y is positive.\nAnswer: y**(7465\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 10)\/(5 - (-3)\/(-1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (135 - 1137*g + 183 + 1139*g)*(-2 + 0 + 4) to k*g + n and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from hvvhhhbhhhbvb.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1422*w**2 + 168*w - 809*w**2 - 335*w - 600*w**2 + 167*w.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94779*n + 2*p = 94780*n + 3, -4*n - 5 = -p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 - -0.6. Let l = -0.02 - -0.06. Let h = l + 3.96. Which is the biggest value? (a) s (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*u - 20 = -4*b + 25*u, 8 = 2*u + 2*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - 93\/(-9)) + 1\/(-3). Find the common denominator of -22\/21 and 2784\/252 - n\/(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14744 and -0.21028?\nAnswer: 14744.21028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51.15, 0.4, -0.1, -0.4, -0.02 in ascending order.\nAnswer: -51.15, -0.4, -0.1, -0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19090*g**2*m*s**3*w - 2*g**2*m*s**2 - g**2*s**3 - 451*g**2*s*w + g**2*w + g*m*s**2*w + 2*m*w + 2*m wrt s?\nAnswer: 114540*g**2*m*w - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11368580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1421 or -1409?\nAnswer: -1409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 48 = -112. Let c = 21 - k. Let f(r) = r**2 + 11*r + 11. What are the prime factors of f(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39575, 39583, 39587, 39587?\n\"Answer: -2*i**2 + 14*i + 39563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/24 - 17*c**2. Let a(k) = 19*k. What is a(i(n))?\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175.235 or -1?\nAnswer: -175.235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 279*g - 1695. What is i(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-14))\/(28\/(-98)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15819 = z - 4*z - 4*l, -2*z = -5*l - 10523. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0945 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**8\/168 + 3*z**7\/10 + 145*z**4\/24 - 2*z**3\/3 - 3810*z**2. Find the second derivative of v(f) wrt f.\nAnswer: 40*f**3 + 756*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6) + 35\/(-21))*-20. Let x = -36 + z. Put -6, x, 3 in ascending order.\nAnswer: -6, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 4*t - 32. Let f be 6\/(-33) + 270\/33. Let u be d(f). Solve 0 = 5*l - 10, -5*r + 4*l - l - 1 = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 24 + 15. Let b be (0 - 0)*1\/2. Put b, a, 3 in decreasing order.\nAnswer: 3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1297121678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24640?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -147\/25, -2\/7, 4, -8, 0, -0.1, 3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose 3*t + 6*v - 2*v + 16 = 0, t - 3*v = 12. Let w(z) = -z**2 - z**2 + t*z**i. Let f(p) = 2*p**2. Determine f(w(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 14. Let q = -79 - -83. Suppose 3*a - 3 = -2*l + 7, -5*l + 71 = -q*a. Calculate the lowest common multiple of l and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221993521 and 16878?\nAnswer: 2813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (2 - (-3)\/1). Suppose -b*z + 644 = 4*a, 0 = -5*a - z - z + 817. What are the prime factors of a?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, -5\/2, 0, 6, 601, -5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17024 - -7337. List the prime factors of h.\nAnswer: 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8588.09 to the nearest one hundred.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a millimeter in micrometers?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122 and 3?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4.3. Let h = -255 + 254.9. Which is the fourth smallest value? (a) 5\/4 (b) s (c) h (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + 173 = -310 + 161 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5009 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -0.051 (c) -1 (d) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6280642 - -12680642. Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*i + 23 = 0, 52*a - 57*a - 3*i = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + -65. Let w = l + -37. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4206442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**2 + 29*o - 17. Let d(h) = -3*h**2 - 15*h + 8. Let s(g) = 9*d(g) + 4*i(g). What is the smallest common multiple of s(19) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 271 + 519. Let x = -239 + c. Suppose -2*a - a = j - x, -5*a = -5*j + 680. List the prime factors of j.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -4634*4\/(-9984). Let m = r - 1\/96. What is the closest to 2\/25 in 4, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 5*p**3\/6 - 3*p**2\/2 + p. What is v(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 - 140 - 207\/(-15).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q + 4. Let k be (-9)\/(-6)*(q + 4\/(-12)). Let j be (-2 - -1) + (-6)\/264*-52. Is j less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 52. Suppose 12*p - 5*p = 0. Let c be z(p). Suppose c = 2*i - 2*l, i - 2*i - l = -28. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4)\/14)\/(((-4)\/(-2))\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -28. Suppose -3*w + o = -5*l, w - 2*l = -4*w + 9. Let g = 1\/20 + 1\/5. Is w < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - h**3 + 2*h**4 + 3*h**2 - 2*h**2 - 2*h**3 to the form v*h + o*h**3 + u*h**4 + n*h**2 + y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 139590 and 1023660?\nAnswer: 3070980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s + 4. Which is the closest to -2? (a) -4 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -42*t - 164 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -498, -484, -456, -408, -334, -228, -84?\n\"Answer: l**3 + l**2 + 4*l - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + d - 2*d)*(5*d + 0*d - 3*d) + 0*d**2 + 5*d**2 - d**2 + 3*d**2 - 2 + 2)*(4*d - 3*d + 3*d).\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 - 410 - (-3 + 18 - (2 - 1))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by (-8 - -4)\/8*-26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.8 + 24.8. Let v be -3*5*4\/12. Which is the second smallest value? (a) z (b) -4 (c) 5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i - 2595 = -402*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Suppose 4015 = a - 3*p, -z*a - p + 15783 = -4212. What is a rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a*t*y**3 + 5*a*t*y - 6*a*t - 2*a*y**3 - 60*a*y**2 + 4*a wrt t?\nAnswer: -6*a*y**3 + 5*a*y - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (5 + -4 + 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*32\/36 + (-14210)\/(-315).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -669 - -558.2. Let j = -111 - p. What is the second smallest value in 0.7, j, 0.2, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1216)*-3 + sqrt(1216)))**2.\nAnswer: 77824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -340 + 325555?\nAnswer: 325215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*p = -7, 131*p - 8 = -3*n + 132*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1416 * -0.02.\nAnswer: 28.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*1 + 5 - (2*1*sqrt(245) - sqrt(245)) - (-3 + 2 + (sqrt(245) - (sqrt(245) - (sqrt(245)*-2 + sqrt(245))**2)))) + 2.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7*(-9)\/126)\/(2\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 5*z**2\/3 - 2*z.\nAnswer: -z*(z - 3)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 4*q**2 + 3*q + 6. Let v be o(-4). Let y(r) = -4*r**2 - 8*r - 4. Let z be y(v). What is z rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -288 - -443. What is the common denominator of 59\/12 and -3*(-1 + q\/54)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 2, -3, 0.1, 4, -82294 in increasing order.\nAnswer: -82294, -3, -0.8, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v**2 + 8*v**2 - 10*v**2.\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d - 54. What is the lowest common multiple of c(18) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90455936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1212 - 1212 - 21*d - 5*d**2 + 2422)*(2 + 1 + 1).\nAnswer: -20*d**2 - 84*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -164, 5 in decreasing order.\nAnswer: 5, 1, -1, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 75, 4\/9, -2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/106 - 215\/318. Let t = 0.27 - 0.17. Which is the closest to x? (a) 5 (b) 1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10003 - 9981. Which is smaller: -55 or u?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((5\/(-30))\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 3*f - 2. Let x = -11 - -13. Let l be a(x). Suppose -5*o + 2*s + 2389 = l, -o + 3*s = 8*s - 494. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 33. What is the smallest common multiple of 26 and o?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9447?\nAnswer: 3, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -75, -113?\n\"Answer: -38*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-337623\nAnswer: -1012869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45 - -41c34?\nAnswer: 41c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3004 (base 15) in base 13?\nAnswer: -47c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102960.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -93. Suppose 0 = -5*j + f + 67, -7*f + o = 4*j - 3*f. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7508072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4900?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 556776 divided by -139194\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 - (5 + -2) - (2 + -20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(151\/(89 + 17427))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2115)\/(-282)*4\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398659550 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, v: 5, m: 1}. What is prob of sequence vv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**3 + 46*o**3 - 17*o**3 - 7*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6897 and 7524?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -370912548 less than -0.3?\nAnswer: 370912547.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 43\/(-43) - (-5 + -5483)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 0*a + 5*a + a + a + 0*a + (-a + 3*a - a)*(6 - 2 - 2) - 31*a + 25*a - 26*a to the form b + c*a and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 37\/(-74) - (-14)\/(-4). Sort r, 17, -3, -1, 2.\nAnswer: r, -3, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13719 in -0.09, -3, -5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/180 + m**5\/45 + 23*m**4\/4 - 144*m**3 + m**2 + 843*m. Solve i(t) = 0 for t.\nAnswer: -16, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - 3*m**3 + 3*m**3 + (5*m**2 + 0*m**2 - 4*m**2)*(4 + m - 4)*(-5 + 3 + 0).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 3 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*v - 6056 = -3997*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -124? (a) 4 (b) 10 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 4*g + 4. Let p be m(5). Let q be ((-5)\/(-2))\/(p\/4). Let r be 5\/q + (-50)\/(-4). Solve -a + 5*a = r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.085, -56, -1\/6, -0.5?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 10*z**2 + 225*z - 1911. Determine m(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120682?\nAnswer: 2, 43, 131, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc0a - db?\nAnswer: -cce6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9541263 and 12801.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = t - 73, 4*x - 106 + 39 = 5*t. Calculate the least common multiple of 30 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*w - 258*w = 88*w - 30636. Let b = 447 - -69. Calculate the remainder when b is divided by w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10430061925 rounded to the nearest one million?\nAnswer: 10430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(20\/(-15)) - 2. Solve h = -2 + o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 186696 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1109 - 1109 + 469*l)*(2*l - 4*l - l) to j*l + a*l**2 + y and give a.\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12783 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -64829.\nAnswer: 32414.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 7161.\nAnswer: 13\/7161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 15 = 5*g. Solve g*q - 6 = 0, -4*c + 3 = -4*q + 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 divided by -19?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (334 - 133 + 218)*(4*y + 0*y + 0*y) in the form p + b*y and give b.\nAnswer: 1676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25335722 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -53 (b) 1\/5 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 180 + 150 - 40.\nAnswer: 2*k**3 + 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12579618.\nAnswer: 2, 3, 251, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(6*v - 2*v - 3*v) + (-2 + 2 - 2*v)*(0 - 2 + 5) + v - 2*v - v + 2*v + v - 5*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -3*r + 60. Let m = -137 + r. Let c be ((-2)\/(-6))\/(1\/9). Put 2, c, m in descending order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 14) in base 16?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 - 57.78. Let y = 100 + t. Let u = -33.8 + y. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4 + 365*w**3 + 1080*w**2 - 2180*w - 2896 = 0.\nAnswer: -362, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-1)*(-7 + 60\/8). Solve 3*f = -1 - v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 2660 = 16*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -4\/5 (c) -186 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719 - 714 - 725 + 4*n + 2158.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/(23\/828)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2745234202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6741024 and 208384.\nAnswer: 6949408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15 - 850\/(-51)) + (-191)\/3. Which is greater: 20 or u?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/56*36)\/((-2)\/14). Sort x, -2, 0.\nAnswer: x, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m + m + 2*m + (5 - 4 + 6)*(m - 3 + 3) + 3*m - 1 + 1 as d*m + w and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) - (-624)\/35. Let d = w - -152\/21. What is the common denominator of d and -38\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -278 and 7?\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + f**2 + f - 1. Let q be m(1). Find the third derivative of d**4 - 3*d**4 + 3*d**4 + q*d**2 + d**4 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 - 498*t + 20667 = 0.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 8. Solve -o*n - 3*n = -10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133.1 or -30?\nAnswer: -133.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3277*l + 5469*l - 4373*l)*(2 - 2 - 2*l)*(-l + 2*l + 0*l).\nAnswer: 4362*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - 7 - 7\/(-1). Suppose -5*o + 39 - r = 0. Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 121.3, -1\/2, -3, -2\/7 in increasing order.\nAnswer: -3, -1\/2, -2\/7, -0.14, 121.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41160 and 168?\nAnswer: 41160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-15 - -9) + -1 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62.36 and -0.01?\nAnswer: 0.6236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 488\/7 + -70. What is the third biggest value in 3\/5, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 30*g - 665. Let o be z(23). Solve 39*t = 44*t + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*o**4*q - 35*o**2*q + 3977*q with respect to o.\nAnswer: 132*o**3*q - 70*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 32 = -5*h, t - 2*h + 8 = 3. Let c = -17 + 24. Calculate the remainder when c is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 0 - 2691*c**3 + 5388*c**3 - 2699*c**3 + 0.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 115.539 and 0.159.\nAnswer: 115.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 48 = -4*n - 4*a, -3*n - 2*a - 40 = 0. Is n*3*1\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.78 + 18.08. Put 2, n, -3.2, -1\/4 in ascending order.\nAnswer: -3.2, n, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2. Let t = -140 - -140. Let c(a) = -13*a + 8*a - 14*a + t*a. Give c(u(x)).\nAnswer: 76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.07*0.763\nAnswer: 0.81641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222 + 226. Let r(s) = s - 6. Let b be r(8). Suppose b*q = q - 5, m*v - 3*q - 55 = 0. Solve 5*x - 10 = 4*o - 9*o, o = 5*x - v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -0.6, 15, -7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {d: 2, i: 3, q: 3, y: 4, o: 4, t: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 10) to base 3.\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**2 - 36*h + 5. Calculate the remainder when u(-4) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(162) + -2*sqrt(162)*-3 + 1*(sqrt(2) - (-1*sqrt(288) - sqrt(2))))**2 + 0.\nAnswer: -11883 + 770*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(700)))**2 - (sqrt(700) + (sqrt(700)*-2 + 0)**2) - -3*(sqrt(28)\/sqrt(4) + -4 + -4).\nAnswer: -7*sqrt(7) + 3476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -14378 (c) -5 (d) -4 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**40*((j**4\/j)\/j)\/j**8*(j*j*j**(-2\/17)*j**(-7))**(2\/63) assuming j is positive.\nAnswer: j**(-5770\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15 - 45 + 29. Let i(s) = 7*s + 6. Let p(f) = -13*f - 11. Let m(v) = 11*i(v) + 6*p(v). Calculate -m(t) - u(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + 1a?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165028 is divided by 13750.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -n. Let k be 3\/(-5) + 172\/20. Let g be (-18)\/k + n + 5. What is the smallest value in 3, 7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(27\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/53, 0.084, -0.3 in decreasing order.\nAnswer: 14\/53, 0.084, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435470 and 391923.\nAnswer: 3919230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21541 or 21538?\nAnswer: 21538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:35 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(28\/42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 - 5*i + 2. Calculate g(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36902219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1441 and 1048.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 28 = 2*n, -5866851*n = -5866849*n - 5*x - 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 225*l**4 + 97216*l**3 - 2*l**2 - 168932626 wrt l?\nAnswer: 900*l**3 + 291648*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 0. Let k = -60 + 55. Calculate the remainder when 6 + k + 3 + 16 + 1 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/15*9\/(-2). Suppose -2*u - 19 - 1 = 0. Let q = j - u. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1357194.\nAnswer: 2, 3, 226199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*z - 3821, -5*z - n + 6*n = -6345. Let x be 132\/(-176)*(-20)\/(-15)*-31. Calculate the highest common divisor of z and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 3, 43, -3 in descending order.\nAnswer: 43, 9, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (13 + 1 + 244 + -238 - -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16228999 divided by -19?\nAnswer: 16228999\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3, 389, 2\/17 in decreasing order.\nAnswer: 389, 2\/17, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0371 and 898002.\nAnswer: 898001.9629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1177*w**2 + 1002*w**2 - 2011*w**2 + 7 to f*w + g + a*w**2 and give a.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*y + 11*y - 4*y in the form k*y + d and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - ((6 - -5) + -14)) + 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/7 - 90*m**3\/7 + 939*m**2\/7 - 3960*m\/7 + 5808\/7.\nAnswer: 3*(m - 11)**2*(m - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/16 and 79\/6384?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5412*i**3*r**2 + 209*i**3*r - 8*i**2*r**2 - 2*i**2 + 35*i*r - 294 wrt i?\nAnswer: -32472*r**2 + 1254*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.2090004979 + -10.209. Round f to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011110100000 (base 2) in base 16?\nAnswer: -37a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (11 - (2079\/(-22))\/9)*408\/1 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*o = 18, 0*h = h + 2*o - 14. Solve 0 = 4*i + 4*v + h, 3*i + v - 2*v = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -18.9. Which is the second biggest value? (a) p (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5220 divided by 261\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115930, -231924, -347918, -463912, -579906?\n\"Answer: -115994*h + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17023820 by 220.\nAnswer: -77381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 4*q**2 + (2*q - 1 + 1)*(5*q - 3*q - q))*(-3 + 3 - 3*q**2)*(-2 + 0 - 1) to the form b*q**4 + h*q**3 + a*q**2 + g + o*q and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:04 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 - 2 - 2 + 1 + 5*o + 1. Let y be t(3). Suppose 5*f - 5 = 0, -2*i + 4*f = 2*i + y. Does i = 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 - 5*n + 182. Is r(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2 - d. Let k(j) = -4*j**2. What is 2*c(q) - k(q)?\nAnswer: -2*q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 8365732*g**3 + 3*g**2.\nAnswer: 8365732*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -231, -157, 53, 471, 1169?\n\"Answer: 12*q**3 - 4*q**2 + 2*q - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101 + -100100100101?\nAnswer: -100010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.098478415 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387862827?\nAnswer: 13, 487, 219217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -301 + 455. Suppose 2*n = 20 + 8. What is the greatest common factor of n and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33442173?\nAnswer: 3, 1238599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let m = a - 0. Let r be 1\/(m + 0) - -2. Sort -3, -1, r in descending order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28942064 is divided by 97121.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -153*d - 74. Let f(x) = x - 1. Let r(q) = -f(q) + i(q). Differentiate r(h) with respect to h.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 807290836 to the power of 1\/3, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -34?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose 16 = 4*h, 0 = 5*t - 4*h + 22 - 81. Suppose -b - v*b = -t. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) + 44\/10. Suppose n*y - 4*r + 48 = 0, -1 = -r + 3. Let z = -5 - y. Solve 4*a - 14 = 3*l, z*a + 2*l - 14 = 6*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10828 - 10828. Which is the smallest value? (a) y (b) -0.42 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 138 = -2*m, 5*m - 83*g + 80*g - 100 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, 1, 0.1, 3 in descending order.\nAnswer: 3, 1, 0.5, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 4*d = 0, -2*w - 22*d + 8 = -24*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 7*g**2 + 9*g + 9. Let m be h(5). Factor 5*r**5 - 2*r**4 + 15*r**m - r**3 - r**4 - 8*r**4.\nAnswer: r**3*(r + 1)*(5*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11467439*q + 1305 = 11467468*q for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + 1.5. Let t = -0.305 + 0.015. What is the nearest to -0.1 in s, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:30 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 38. Calculate p(-35).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.1275 and -0.1.\nAnswer: -1.2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/16 - 4\/16 and 57\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-12)*((z*z*z\/z**(-2)*z)\/z*z)\/z)**(-5\/12)*z**(-2\/3)*z**(-2\/9)*(z*z**(-3\/4)\/z)\/z*z*(z\/(z\/(z**(2\/5)\/z)))\/z assuming z is positive.\nAnswer: z**(-133\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23472 = 2*f - 688. Suppose 0 = -2*r + d + f, 0 = -2*d + 4*d - 4. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 8*q**2 - 54 + 23.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 357647149 to the power of 1\/2, to the nearest integer?\nAnswer: 18912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 - -12.45. Let d = 11 - v. Let i = -4.91 - 0.09. Which is the biggest value? (a) i (b) d (c) -13\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 12*m. Let s(q) be the third derivative of 0*q - 2*q**2 + 0*q**3 + 8 + 0*q**4 - 1\/10*q**5. What is u(s(o))?\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 97324681.\nAnswer: 5\/97324681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 2*a + 3. Let v be l(-3). Suppose 4*s - 5*w - 722 - 107 = 0, -3*s + 5*w + 628 = v. List the prime factors of s.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -16 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14586514 is divided by 225.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 q when three letters picked without replacement from {e: 1, h: 8, q: 2, s: 2, t: 5}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 - 2*m**3 - 7*m**2 + 20*m - 12 = 0. Calculate m.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-one halves of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**6 + 22*u**4 - 93*u**2 - 6. Let s(n) = -28*n**6 - 67*n**4 + 280*n**2 + 20. Let w(v) = 10*k(v) + 3*s(v). Find the third derivative of w(q) wrt q.\nAnswer: 720*q**3 + 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 5. Let o be g(7). Let n(j) = j**2 + o*j + 2*j - 16*j + 6*j. What is n(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255*d**3*f**2 - 23*d**2 - 3*f**2 wrt d.\nAnswer: 1530*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-56)*(2\/(-7))\/((-38)\/19))\/17.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 9:26 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 + 70*k - 191. Calculate b(21).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481695 is divided by 1100.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 259*o + 6. Let t(p) = -260*p - 9. Let x(q) = -3*f(q) - 2*t(q). Let d(y) = y**2. Determine x(d(z)).\nAnswer: -257*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-32)\/432 + (-160)\/27 - (2 + -9917)?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 + 0*h**3 - 2*h**3 + 0*h**3 + 0*h**3 + 7*h**2 - 2*h**3 + 1 + (3*h - 3*h + 2*h)*(0*h**2 + 2*h**2 - h**2) - 6*h - 6*h**3 + 6*h.\nAnswer: -5*h**3 + 7*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133059135 by 3921.\nAnswer: 33935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {d: 4, l: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 59*g**2 - 37*g + 28. Let v be o(17). What is v rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb94 (base 13) to base 8.\nAnswer: 67270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 0. Suppose p*j = j. Suppose -2*x - 8 = j, 2*a + 19 = 2*x + 119. Round a to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by 284\nAnswer: 19\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1572709*p**2 - 1879*p + 137?\nAnswer: 3145418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -35.\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 3. Let v be z(-2). Put -5, v, 0 in ascending order.\nAnswer: -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/16 + (-50)\/(-8). Let p = l + 1. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7)\/w*w\/w**(-1)*w)**(4\/29)\/(w**(-7)\/(w*w*w\/(w**(-1\/6)\/w*w*w))*(w\/(w\/w**0*w))**(2\/19)) assuming w is positive.\nAnswer: w**(221867\/23142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 4*x**2 + 2*x**2 + (4*x - x - x)*(-x + x + 2*x) - 3 + 3 + 2*x**2 - 13*x**2 - 15*x**2 + 8*x**2)*(-1 + 30 + 5).\nAnswer: -442*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.026 (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 23*f - 180. Let t be u(8). Suppose -28 = -4*q + 2*x, -2*q = 2*q - 3*x - 30. Suppose 22 = -q*w + t. Let m(n) = 4*n + 1. Give m(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2574694 - 1941*q**4 + 2574694)*(3 + 2 - 4) as p*q**2 + z + i*q + d*q**4 + g*q**3 and give d.\nAnswer: -1941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*w**2 - 27*h*w - 3499*w**3 - 4*w**2 + 7693*w - 3 wrt w?\nAnswer: -4*h - 20994*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 64. Suppose -2*m = -2*c + 20, -3*m + q = -5*m - 4*c. Calculate the common denominator of (115\/m - -4)\/(12\/(-9)) and 53\/86.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 18 - 17 - 17) + 0 + -10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -2 (c) 52 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 151 and -44?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5703.9+-20881\nAnswer: -26584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g**4\/5 - 318*g**3 - 27381*g**2\/5 - 132732*g\/5 - 76788\/5 = 0 for g.\nAnswer: -158, -9, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107.9 - 116. Let l = x + -4.8. Let u = l + 12. Round u to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299.4544 times -0.2\nAnswer: -59.89088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.29 - 1.49. Let h = 1.78 + -2.78. What is the fourth smallest value in h, 1\/8, 0.01, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -63. Let y be ((-12)\/d)\/(-3)*14. Solve -y*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5591606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13583 + 13583.3. Which is the third smallest value? (a) -0.047 (b) -52\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.7 - 8.47. Let f = 1.27 - m. Let b = f - -2.96. What is the smallest value in 1, 25, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0679 and -5502.\nAnswer: -373.5858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*m - 128. List the prime factors of m*((-1)\/4 + (-91)\/(-52)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o + 3 = 62*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/132)\/(1\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238948 or 238946?\nAnswer: 238946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyetnynovyte. Give prob of sequence yeet.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 - 74. Let o(b) = 3*b**3 - 49. Let y(t) = -8*o(t) + 5*w(t). Let h(s) be the first derivative of y(s). Let x(j) = -3*j. What is x(h(m))?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 995 - 505. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -387, -380, -373, -366, -359?\n\"Answer: 7*u - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 5:07 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + 23a4?\nAnswer: 2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82523*u**6 + 92767*u**2 wrt u.\nAnswer: 9902760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3003, 24229, 81855, 194085, 379123, 655173, 1040439?\nAnswer: 1553125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154554 + -5343?\nAnswer: 145211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 27719 - 27719 + 2623*g. Let h(x) = -46*x. Calculate 172*h(j) + 3*l(j).\nAnswer: -43*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6)*-4 + 4. Suppose y = i - 2, -4*i - j*y + 13 = -y. Solve 5 - 16 = -i*d - 4*h, -25 = -5*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01518712 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 5*d - 61, -j + 7 = d. Suppose j = 4*s + 2*s. Factor 9\/2*m**s + 11\/2*m + 1.\nAnswer: (m + 1)*(9*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1168 times -35.982\nAnswer: 42026.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13184787.13 - -0.4.\nAnswer: -13184786.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*m = 7, 8*y - m = 9*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 847347 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -3779?\nAnswer: -3774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*m - 17*m**3 + 45*m - 147*m + 43*m.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (253\/759)\/((3\/261)\/1)*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216 a factor of 249153109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10244\/169026*(3\/2)\/1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -707.8782657?\nAnswer: -702.8782657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4531095 = -i + 20531095. Round i to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24229, -96780, -217639, -386800, -604257, -870004, -1184035, -1546344?\nAnswer: -1956925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -141*w**3 - 579*w**2 + 942*w + 1560 = 0.\nAnswer: -5, -52\/47, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*q - 1636 = -292*q + 23*q. Solve 1 = -j + x, -q*x - 119 + 127 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161 and -6.18.\nAnswer: 994.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 187*v - 1853. What is h(-11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 + 6 = 0. Suppose l + 6 = -2*o - 3*l, 2*l + 13 = o. Calculate the greatest common divisor of x and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*q*q\/(q**4\/q)*q)\/q*q*q**(4\/3) assuming q is positive.\nAnswer: q**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*y - 5306 = 0, -3198 = -3*v + y + 4746. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/19)*r)\/r)\/r)**(-44)*r**(4\/13)\/r*r**(-10)\/r assuming r is positive.\nAnswer: r**(6264\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28940 - 28938. Let a = 4 + -3. Suppose -g - 2*s + a = 0, -2*g + s - 23 = -7*g. What is the second smallest value in g, d, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 541 + 11\/((-99)\/72). Suppose -5*x - 2*a = -529, 2*x - 7*x + h = 4*a. Suppose -2*q = 2*q - 168. Calculate the greatest common divisor of x and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42977130661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*g + 40 = 586*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2660951 by -137.\nAnswer: -19423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 8*w + 8. Let x(v) = -v - 1. What is 3*r(t) + 24*x(t)?\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99262134 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 11. Let n be ((-9)\/(-2 - -1))\/(-1). Let b be c(n). Sort b, 3, -2 in decreasing order.\nAnswer: 3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 7*x**2 - 2*x. What is v(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4164111 - -2?\nAnswer: -4164106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 14*j**2 + 6*j + 3. Let o be ((-2)\/2 - -4) + (-51 - -52). Let v(c) = -5*c**2 - 2*c - 1. What is o*i(u) + 11*v(u)?\nAnswer: u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 445 or 3116\/7?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8290 = -0*m. Suppose 2*f = 3*o - 18421, 26226 - m = 4*o - f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 - -64. Let f = 4 + -3. Which is the second biggest value? (a) 0.4 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/10 of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39, 86, 133, 180?\n\"Answer: 47*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 64.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/312 and 101\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, -19 in decreasing order.\nAnswer: 6, 0.1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/265 and 131\/6?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 35 = 5*f, -3*d - 2*f + 9 = -f. Let r = -3 + 3. Suppose -d*k + k + 54 = p, 4*p - 12 = r. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + 1007*i**2 + 686*i + 3934. Give p(-335).\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4\/5, 0.02, 13\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 223430?\nAnswer: -223421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 58154870 to the nearest one hundred thousand.\nAnswer: 58200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754189.\nAnswer: 349, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-480)*-6*-4*(-180)\/672?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(3388) + -2*sqrt(3388) + 5 - sqrt(3388)) + 2)**2.\nAnswer: -792*sqrt(7) + 13633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -5, -1\/7, 4\/7, 2\/13?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1) - 1\/3*3. Suppose m*y - 710 = 4*t, 3*t - 77 = -y + 288. What are the prime factors of y?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7607.\nAnswer: 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12998 + -51991\/4. Let o = -40 + 44. Which is the smallest value? (a) i (b) -4 (c) o (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0411 and 0.1.\nAnswer: -0.00411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*r**2 + 64\/5 + 16\/5*r.\nAnswer: (r + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.17, -0.01, 0.57, 14, -31?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -c + 7, -6 = -4*f + c + c. Suppose 4*v - 6 = 6. Let w(x) = 10*x + 13*x**f - v*x - 7*x. Let q(p) = 2*p**2. Give w(q(k)).\nAnswer: 52*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from trttattowoitior?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 7*b + 4. Let d be n(-7). Let t be (6 + -2)\/(2\/2). Let p be (1 - -1)\/(((-2)\/(-3))\/1). Solve 3*k - k + t = -d*c, -p*k - 6 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + z = -4, 2*y - 13 = -3*z + 3. What is the third derivative of 22*c**3 + 4*c**2 - 5*c**2 - 17*c**y + c**2 wrt c?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 665, 2070, 4363, 7538, 11589?\nAnswer: 16510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45 - 127 + 79 + 14*d + (-1 - 2 + 1)*(5*d + 12 - 12).\nAnswer: 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 1\/2*d**3 + 1\/2*d + d**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8573 = -4*t, q = -3*t - 2570 + 8977. What is the remainder when 2141 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let b(r) = -6*r. What is b(v(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*w = -5*k + 6878, 6882 = 5*k - 2*w. What are the prime factors of k + 7 + -3 - 6?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1531, -3108, -4683, -6256, -7827, -9396?\nAnswer: -10963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5*n + 3, -1 = -w - 7*n + 4*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340 = 4*b + b. Suppose 0 = -4*a + 4*l + b, -5*l + 169 = -3*a + 5*a. Suppose -5*t + a - 22 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 2)*(-108 - 144 + 317)*(-1 + 4 + 1) + 1 + 3 + 3)*(-t**2 - 3*t**2 + 2*t**2) in the form f + v*t**2 + c*t and give v.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 0*f + 7*f. Is q(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30761018.43 rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/7 + 5802936*l**3\/7 + 2806050319383*l**2\/7 - 16837764287922*l.\nAnswer: 3*l*(l - 42)*(l + 967177)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = z - 2753 + 2775, 0 = z + 2*m - 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 113*a**2 + 55*a + 305. Let f = 90 + -58. What is the remainder when c(57) is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.694274 days?\nAnswer: 751185273600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z + 12*z + 10*z + 8)*(0 + 0 - 2).\nAnswer: -2*z - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 2*g**4 + 0*g**4)*(-10*g - 54 + 29 + 24).\nAnswer: -10*g**5 - g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1255*b + 21 + 2*b**2 - 1251*b - 20. Calculate k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.9 and -17.2.\nAnswer: -67.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + 4.42. Let f = -4 + q. Let u = f + -0.1. Which is the third biggest value? (a) -3 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 467.\nAnswer: -10\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 + -85. Suppose -315 = -5*w + w - 3*z, 309 = 4*w + 5*z. Suppose 16*f = 7*f + w. Calculate the remainder when m is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*i - 3*l, 0 = i + 4*l - 749 + 748 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 109503*i**2 + 14184690*i = 0. Calculate i.\nAnswer: 0, 130, 36371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33\/(-32))\/((-3)\/4). Let z = -61\/56 + i. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80739 divided by -26913\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114370, -113993, -113364, -112483, -111350, -109965, -108328?\nAnswer: -106439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.81 + 47. Let j = 0.09 + u. What is j rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.43+118\nAnswer: 124.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.986 - -0.014. Let t = -30.8 + l. Which is smaller: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -40. Let n(g) = 97781*g - 29. Let r be n(f). What is r rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s + 18. What is t(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847741?\nAnswer: 847741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 636047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15111 (base 7) to base 14.\nAnswer: -1741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0639 and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((11\/(-99)*3)\/(5\/(-180))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19478178481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*d**3 - 1775*d**2 + 4220*d - 1060.\nAnswer: -5*(d - 2)*(d + 53)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 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: Is 9 a factor of 604\/10*225\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2133*c**2 - 4177*c**2 + 1184*c**2 - 2881*c**2 - 4364*c**2.\nAnswer: -8105*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -0.4 (c) -17.5 (d) 0.106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*x + 128 = 3*g, 3*g + 5*x = 110. Suppose -g = 8*d - 18*d. Suppose -3*r + 2*r - 2 = 0. Sort d, r, -9 in decreasing order.\nAnswer: d, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) -2\/3 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqd when three letters picked without replacement from {q: 2, a: 1, j: 2, d: 4, o: 2, b: 6}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*4\/(-8)*0. Let r be (-2)\/(4\/(-14)) - 3. Suppose y - 15 = r*y, 4*x - 5*y = 105. Solve t = -3*b - 5 + x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.16, 1, 0.1, -2\/861?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1101 - -160.0122.\nAnswer: -940.9878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.100032 - -2.1. What is w rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4 + 112*u**3 + 664*u**2 - 1680*u + 900 = 0. What is u?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 3. Let u be 0 + (2 - 14 - (-3 + 2)). Let j(c) = 5*c + 20. Let l be j(u). Let y(n) = 49*n + 35. Calculate l*t(a) - 3*y(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/11 - (-42 + ((-55841)\/(-1254) - 2)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6499\/210 + 162\/5. Calculate the common denominator of -34\/35 and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*i + 119*i - 276. Let u(c) be the second derivative of 0*c**2 + 0 + 10*c - 1\/2*c**4 + 0*c**i. Let j(q) = 4*q. Give u(j(m)).\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/6*(205\/(-50) - 336\/(-96))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265902221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 646 + -163. What are the prime factors of u?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -192, -387, -586, -789, -996, -1207?\n\"Answer: -2*f**2 - 185*f + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1771 + 5316. Let o(a) = 3545 + 25*a - s. Let n(g) = 2*g**2. Give o(n(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 436*n + 874. Let y be u(-2). What is the nearest to y in -2\/5, 5, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 7 = r. Let g(q) = -q - 7. Let j be g(-6). Let i = 12 + j. Calculate the remainder when r is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-28) + 125\/(-455). Let n = 1840 + -1839.5. What is the fourth smallest value in a, -0.03, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -290711\/45 - -6461. Let a = s - 6\/5. Is a > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 26*c + 137 - 5*c - 146 - 14*c - 3*c.\nAnswer: -c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (-1 + 2 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000078827 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(((-28)\/8)\/(-7)))\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let l = 64\/51 + -10\/17. Which is bigger: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(200\/(-24)))\/((-840)\/(-2450)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (799\/(-3))\/(23\/(-69))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*o**3 + 6*o**2 - 3196*o.\nAnswer: 258*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*i - b - 24, -4*i - 3*b = -14. Suppose y + 72 = i*y. Let v(m) = 9*m + 9. Let k be v(3). Calculate the highest common factor of y and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11483 - -11485. Solve 4*t - 2 = -3*i, 5*t = -y*i - 13 + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = -18. Suppose o*w + 16 = 5*w. Let r be (19 + 1)*(1 + (-6)\/w). Solve 0 = -4*m - 3*z - 10, -r = 5*m + 5*z + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from tbtatabtaaab?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 604133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -6, 6, -3 in ascending order.\nAnswer: -11, -6, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35142263953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*l - 1292 + 4351 = 0, 7*w = 4*l + 21289. Does 61 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 4*a**2 - 2*a + 2. Let r be s(-3). What is the nearest to r in 1\/2, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6308.6769 milliseconds to days.\nAnswer: 0.00007301709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 2. Let k be r(2). Suppose h - 23 - 6 = k. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = 4*r + 48, 353*d - 351*d - 192 = 11*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24387854851 and 221.\nAnswer: 24387855072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3 + 498816*x**2 + 5986164*x + 9977040 = 0.\nAnswer: -10, -2, 166284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*n + 13 + 11, -3*x = -12. Let j be n\/(-10) - (-756)\/35. Is 10 a factor of (-4)\/j + 299\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*h = 77*h - 7653 + 1387 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**2 - 8*u - 25. Let n be t(-8). Let z = n + 543. Solve 4*k - 2*k + z = -a, 9 = -3*k + 3*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 20. What is the nearest to 2 in c, -2\/13, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6569700 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + a**2 + 2*a**3 - 12*a + 8*a - a**4 - 1 + 7*a to o*a + l*a**2 + z + w*a**4 + p*a**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + c**5 + 0*c**3 + (0 + 3 - 4)*(-77*c**5 + 50*c**4 - 50*c**4).\nAnswer: 78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000368698283 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -1, 10\/9, -3, -0.4999, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17.3 or 1046?\nAnswer: 1046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402 + 220?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 13 + (1 + -6 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629708.633 microseconds in weeks?\nAnswer: 0.0000026946240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4)*-4 + sqrt(17))*-1)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113*b + 1113*b + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6833 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -65052 + (1 - -1)*-1. Suppose -3*r + 3*x = 342168, 65492 = -r - 3*x - 48556. Let d = c - r. What is d rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/13, -72, 0 in ascending order.\nAnswer: -72, -2\/13, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27892 is divided by 653?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -196 + 195.96. Which is the smallest value? (a) 2.7 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(-3 + (sqrt(1053) + 0 + 5 + sqrt(1053) + 3 + 3)**2*4).\nAnswer: -207948 - 19008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - 10)\/(0 - 1\/(-2)). Let l = k + 220. What is l rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apc when three letters picked without replacement from {p: 1, z: 2, c: 3, a: 6, t: 2, l: 6}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1473715?\nAnswer: -1473715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 137749818 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 5. Let g be 10\/6*(13 - 4). Suppose -h*q + g = -9. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 30 = 3*x - 2*w, -26 = -2*x + 2*w. Calculate the remainder when x is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((4048\/(-1794))\/44)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 452, 672, 892, 1112, 1332?\nAnswer: 1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/106 and 3\/(-15) + 266\/(-20).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 + 117*a**2 + 10*a + 60 wrt a.\nAnswer: 40*a**3 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7*u + 6. Let f(b) = -4*b + 3. Let x be f(-1). Let z be y(x). Solve 2*d - z*d = 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113044127 or -113044126?\nAnswer: -113044126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -955, -953, -951?\n\"Answer: 2*x - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3297, -3302, -3319, -3354, -3413, -3502, -3627?\nAnswer: -3794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 168 + 32 = 0. Calculate the common denominator of -41\/8 and (3\/m)\/(15\/215).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6787254550 from 0.01606.\nAnswer: 6787254550.01606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.4 - 4. Let v be (-3)\/9 - (-244)\/6. Let i = v + -40. What is the nearest to 1\/4 in q, i, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -4, -5 in ascending order.\nAnswer: -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/7 + 9 + -12. What is the nearest to -1 in k, 0.1, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.4 - 22. Sort 5, l, -2 in increasing order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a**4 + 6*a**3 - a**2 + 6*a. Let r(q) = -23*q**4 + 13*q**3 - q**2 + 13*q. Let n(z) = 13*p(z) - 6*r(z). What is the third derivative of n(w) wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/18 and 187\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 4*w - 36, 4*o - w - 18 = 0. Solve 4*v - o = 3*i, i + 3*i = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -55, -106, -173, -256, -355?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534710 is divided by 964?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254 - -258. Let t(n) be the first derivative of -n**4\/4 + 5*n**3\/3 - n**2\/2 - 10*n - 4. Let s be t(g). Solve 7*j - 5*j - s = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*i - 11 = -0*x, i - 1 = -2*x. Let v be (-6)\/(-8) - (-2)\/(-1). Let b = 1 + v. What is the nearest to b in -4\/5, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1 + 2 - z + 2. Calculate the remainder when (-122)\/(-4) - (-2)\/4 is divided by j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*u - 85, 2*f - 2*u = -u - 35. Let t be (15\/f)\/((-1)\/4). Solve 48*l**2 - 4*l**t + 40 - 16*l + 216 - 176*l = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -5b?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27997, 55993, 83989?\nAnswer: 111985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -274, -319, -364?\n\"Answer: -45*o - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.001. Let l = 2.401 + m. Is -2 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 415 and 332.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239473873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(125)*2)**2 + sqrt(125) - sqrt(125)) + sqrt(125) + 2 + ((sqrt(5) + sqrt(500))*-5)**2 + sqrt(80)*4.\nAnswer: 21*sqrt(5) + 17130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -0.3 (c) 0.12 (d) -6 (e) -6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-14 + 16)) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1621, 2, 17 in ascending order.\nAnswer: -1621, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:46 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*f, -3*f - 2*f - 30 = -5*x. Suppose -x = 4*m - 16. Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 + -0.04. Let q = 59\/64 - 35\/64. Sort q, 0.3, 0.12, a.\nAnswer: a, 0.12, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651, -655, -659?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.05411?\nAnswer: 0.021644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.05 - -1. Let f = -0.05 - l. What is the second biggest value in 0.3, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 16. Let y(n) = -n**3 + 2*n**2 + 52*n - 173. Let z be y(5). Give i(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 149. Let x be m(-23). Sort x, 3, -10, 0 in decreasing order.\nAnswer: x, 3, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + 25. Let a = z + -61. What is the tens digit of 38 - a\/(25\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11329 divided by -3?\nAnswer: -11329\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 divided by 3?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from hchcchhchqhhqcqchhv?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7903 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r)*(-2 + 0 + 0) - r + 2*r + 0*r + 7*r - 20*r - 14*r.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, 6, 5, -1 in ascending order.\nAnswer: -294, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 848.8764kg?\nAnswer: 848876.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13059*d - 36 = 13047*d. Solve -2*v = -d*x, -2*v + 68*x - 73*x = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 6. Solve 3*s = s - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 461 - 460. What is the third smallest value in -3, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n**2 - 4 - 3 - n**3 - n + 8*n - 3*n**2. Suppose 47 = -4*k - 1. Is 7 a factor of y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8)*2*78. Suppose 5*o - 35 = 2*g, -4*o + g - 5 = 6*g. Suppose 2*j + o = s. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35371361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -4 - (-14)\/(-8). Let u = -0.21 + 0.41. Sort b, -5, u in ascending order.\nAnswer: -5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k - a, k - 5*a + a = 0. Let h be -1 - (1 - (1 + 1)). Let s = h + -1. Put k, s, -3 in decreasing order.\nAnswer: s, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/193 (b) 0.2 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 2*m - 26. Suppose -5*j = -j + 184. Let l = m - j. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:24 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931263173?\nAnswer: 163, 587, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/18 + (-2)\/6. Let h = g - 1. Let n(u) = 576*u**3 + u**2 - 2*u. Let a be n(h). Round a to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5117021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 2*r + 1720 = 0. Let k = r - 164. What is the highest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 66*i**2 + 217*i - 315. Calculate s(-29).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 + 5*h**2 + 5*h. Let v(j) = -j**3 - 2*j - j**3 + 4*j**2 - 6*j**2 + 0*j. Calculate -2*c(p) - 5*v(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 572806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -17. Let b(k) = 5 + v*k + 0 - 5. Suppose 4*c = 5*c - 7. Let s(g) = 8*g. Calculate c*b(x) - 6*s(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 185981.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3620 + 50*k**2 + 45*k**2 + 52*k**2 - 145*k**2)*(3*k - 5*k + k) to u*k**2 + d*k + y*k**3 + l and give d.\nAnswer: 3620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 68 = 4*t, 5*k - 20 = -56*t + 56*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -693.6017 and 0.5.\nAnswer: -693.1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 6 (c) 2\/19 (d) 3 (e) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -612502*o + 104125338. Give u(170).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - r - 2. Let z be j(2). Let t be (-1)\/z - 112641\/(-4). Is t\/48 - (-1)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -113752524, -227505045, -341257566, -455010087?\n\"Answer: -113752521*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**2 + 15*q - 7. Let n(l) = -11*l**2 + 23*l - 10. Let c(s) = -8*k(s) + 5*n(s). Let d be c(4). What are the prime factors of (-47)\/(-9) - d\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3430 - 3429. Put 9, -6, -5, z, 0 in descending order.\nAnswer: 9, z, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 370 = 162. Solve 3*a - 2*k = -8, t = -5*a + 5*k - 3*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2380279*j + 19042175. Give o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*t + 2*v - 29, 0 = 2*t - 5*v - 31. Let p = 40 - t. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -873807*j**3 - 13039591 wrt j.\nAnswer: -2621421*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -455 + 460. Which is the biggest value? (a) o (b) 2\/9 (c) -2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575598327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (1 + sqrt(48) - sqrt(3)))**2.\nAnswer: -24*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-135)*-5*(-42)\/70?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -61, -149, -343, -685?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let i(h) = 883515*h - 1. Determine i(j(r)).\nAnswer: -1767030*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 30 + 55. Suppose -y*j - 85 = -4*n, 3*j - 10 = -n + 2*j. Solve -3*z = -2*t + 15, 3*z + 9 + n = 5*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*j)*(-38*j**2 + 5*j**2 - 29*j**2) - 5*j**2 + 25*j**3 + 5*j**2.\nAnswer: -99*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8096.999977445 + -8097. Round n to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/18*5\/(30\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:43 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m + 3*f, -3*f - 1 = 2*m + 7. Let t be 1\/4 - (605\/20)\/(-11). Let x(i) = 17*i**t + 149*i**2 + 1 - 3 + i + 3 - 150*i**2. Give x(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 - -121.704. Let a = -0.4 + b. Let c = -1.866 - a. What is c rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 365426 - w**2 - 365422 + 0*w**2 - 452*w**3 in the form n*w**3 + f + r*w + d*w**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286 - 2594\/9. Suppose 19*n - 6*n = -1001. Let t be (-52)\/44 + (-14)\/n. Which is smaller: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/9)*y**4)\/((y*y**(-2\/13))\/(y**6*y)))**39 assuming y is positive.\nAnswer: y**(1331\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*y + 15, 3*p - y - 162 = -172 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, 1 r, and 1 t when four letters picked without replacement from {g: 3, r: 1, h: 2, t: 13}.\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/33 - 6396\/(-33). Let u = -1213 - -3592\/3. Calculate the common denominator of x\/(-40) + 4\/(-10) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8180261g to micrograms.\nAnswer: 818026.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.019 in 2, -5, -0.4, -0.2, -20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9923 and 4.\nAnswer: 9927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 2919787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1012 and 119\/60.\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 678851079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 259636585 to the power of 1\/2, to the nearest integer?\nAnswer: 16113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0488411 * -0.05.\nAnswer: 0.002442055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 183 + 13*g - 47 - 39 - 7*g - 40.\nAnswer: 6*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**6\/120 - m**5\/3 + 11*m**4\/12 + 19*m**3\/6 + 16*m**2. Let o be l(19). What is the highest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -6 - (-4)\/36*-25. Let u = 1471\/144 + y. Calculate the common denominator of 7\/66 and u.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 17*c - 199. Calculate d(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 1045 + 247. What is the highest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r**2 + 12*r - 242. Let y(g) = -9*g**2 + 6*g - 243. Let f(o) = 2*l(o) - 3*y(o). Differentiate f(c) wrt c.\nAnswer: 22*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1096)\/(-14) + 2\/7*-1. Solve m*l - 77*l = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101303, 101302, 101301, 101300?\nAnswer: 101299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170166?\nAnswer: 2, 3, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7066628818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5242, 10108, 14992, 19900, 24838, 29812, 34828?\n\"Answer: u**3 + 3*u**2 + 4850*u + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 972\/(-80) - 1\/(-4) and (-1)\/(-14)*2 - (17 - 204360\/14000).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -89. Let m = 39 + i. Solve 4*r - 10 + m = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -0.4, 0.1, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 + -2.26. Let m = y + -0.04. What is the second biggest value in 1\/2, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*h + 3*h - 2*h)*(-2 + 0 + 8).\nAnswer: 6*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -1418, -18 in increasing order.\nAnswer: -1418, -36, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*j + j. Let u(f) = 1. Let c(w) = -2*w**2 + 12. Let y(m) = j*c(m) - 12*u(m). Let p(o) = 2*o. Calculate p(y(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1967 + 9875 + 6394 - 1778)*(2 - 2 + 1)*(0 + 0 - x**2) as j*x**2 + u*x + f and give j.\nAnswer: -12524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + y = -743 + 748, -5*p - 4*y - 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-2*1*2. Let g(d) be the third derivative of d**4\/24 + d**3\/2 - 7*d**2. List the prime factors of g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 6*l + l + l as m + x*l and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 10) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fogmgexgfggxgogm. Give prob of sequence mom.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 2. Let y(k) = -3*k + 6. Let a be (-3)\/(-6) - 14\/(-4). Determine a*y(b) + 11*q(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let c be (2\/(-4))\/((-10)\/(-60)). Let l(i) = -1. Let x(t) = 4 + 15*t - t**2 - 15*t. Let m(o) = c*x(o) - 12*l(o). Calculate h(m(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + k - 315 = 523, -4*k = -12. Calculate the remainder when o is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 791 - 191*d + 152 + 341 + 148.\nAnswer: -191*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 315?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.95 + -4.05. What is the third biggest value in x, 0.1, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 0.3, 0.0356, -1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5118?\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11101001101?\nAnswer: 11101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -113*s**5 - 77*s**4 + 222*s**3 + 117424887*s**2?\nAnswer: -6780*s**2 - 1848*s + 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*k + 1 + (-3 + 7 + 0)*(5*k + 0*k + 0*k) + 4 + 3*k - 4 - 5*k + 6*k - 2*k - 5.\nAnswer: 24*k - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3128762 + 1.3.\nAnswer: 3128763.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - u + 178 = -6*u - 3, 8*u + 304 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38132.\nAnswer: 2, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 2, r: 1, b: 1, q: 5}. What is prob of sequence gbr?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9 (base 13) in base 3?\nAnswer: -12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1328)\/(-4128) + 2\/(-6). Suppose 2*g - 27 = 3*z, 254*g - 13 = 5*z + 256*g. Sort 2, z, i.\nAnswer: z, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*j**3 + 169*j**3 - 520*j**3 + 171*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 17*d**2. Suppose -2*y - m + 60 = -0*y, 4*m + 144 = 4*y. Let s(x) = -y*x**2 + 52*x**2 - 24*x**2. Give s(a(g)).\nAnswer: -1156*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*w + 6, -2*w + 0*z - 4*z = 18. Let l be -1 - (0 - w\/(-1)). Solve -5*b - b = l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102361 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -120?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - 6*1*sqrt(242) - (sqrt(24)\/(sqrt(12)*4) + 2))**2.\nAnswer: 221*sqrt(2) + 48873\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a factor of 17513550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -48320.205 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25250 and 7250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4185, -6470, -12801, -25200, -45689, -76290, -119025, -175916?\n\"Answer: -337*n**3 - n**2 + 77*n - 3924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10028 by -218.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 - -134. What is the units digit of 6\/g*-318*(-2)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*z - 41*z - 2 + 2.\nAnswer: -226*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*m - 261*m - 321*m + 852*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 55*j + 15. Let z(a) = -11*a - 3. Let t(k) = 2*w(k) + 11*z(k). Is t(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 + 4*d**2)*(-21 + 73 + 63)*(3 + d**3 - 3).\nAnswer: 115*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646784 and 331328.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 2*q**3 - 5*q**3)*((4*q**2 + 4*q**2 - 6*q**2)*(4 - 5 + 4) + (11 - 5 + 8)*(-3*q**2 - 2*q**2 + 3*q**2)).\nAnswer: 44*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -173*v**2 - 6*v - 14. Let u(r) = 115*r**2 + 4*r + 9. Let n(x) = 5*m(x) + 8*u(x). What is the units digit of n(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 297*f**2 + 34*f - 54. Is a(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -67, -3\/7, 325.7?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52768 - 39313 + 31482 = -7*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 8. Let p = s - -12. Suppose -p = -r + 16. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(189)\/sqrt(3) - 1*sqrt(343)))**2 + (sqrt(175) - 2*(sqrt(175) - (sqrt(175) + 5))) + 5.\nAnswer: 5*sqrt(7) + 1023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -215 or 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(50) - -1*sqrt(50)*-2)\/((1*sqrt(5)*-4 - sqrt(5)) + sqrt(5) - sqrt(5)))\/((sqrt(72) - (2*sqrt(72) + sqrt(72)))*-1*-3))**2.\nAnswer: 1\/2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5 - 11. Suppose 0 = -5*l + v*k - 6, 2*l - k - 2 = -l. Solve -l = 4*j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(2\/1))\/(-2). Suppose 4*z - n*z + h = 0, -3*h = -z + 7. What is the closest to z in -1, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 682472025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 17*c - 35. Let g be r(25). Let p be (1 - g)\/(5 + -11 + 4). Calculate the highest common factor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.809728 less than -181?\nAnswer: -72.190272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12) + 1804894\/1320. Let h = -6831\/5 + m. What is the common denominator of -83\/2 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 4*z + 4. Let v be g(4). Let h = -2.7 - -2.5. What is the smallest value in 2\/3, h, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 194238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16356326824437359471.45000030 - -16356326807435306366. Let h = -17002053098 - t. Let s = h + -7.45. Round s to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n**3 - 1. Let x be p(1). Suppose -6*t - x = -10*t. Solve 0*b + 9 = t*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14404417 divided by 3?\nAnswer: 14404417\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*p**4 + 16*p**2 + 2*p**3 - 26*p**3 - 88*p**3 = 0 for p.\nAnswer: 0, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55499 and 6555?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 3:34 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1206 less than -2?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60196845239 - -1838?\nAnswer: 1837.39803154761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 142012.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 19\/30*d**5 + 1\/210*d**7 - 52*d**2 - 1\/15*d**6 + 0*d**4 + 0*d + 0 + 0*d**3. What is the third derivative of v(o) wrt o?\nAnswer: 24*o - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25806520 and 436.\nAnswer: 2812910680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - -9. Let o = u - 33. Suppose -5*z - o*z = -376. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 4304495*x + 4304495*x - x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 170 = -68. What is the units digit of 1*(-7 + z - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44365639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 11:10 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 33 = -21. Suppose -5*h = f*h - 36. Sort h, -2, 0, -4 in decreasing order.\nAnswer: h, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -2, -1\/25, 103, -0.5 in decreasing order.\nAnswer: 103, -1\/25, -0.1, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/11 + (47 + -24 - 22)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 - 7*h**3 + 12*h**5)*(-244 + 12 - 124).\nAnswer: -4272*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**3*n**3 + 2*m**3*n + 656*m**3 - 2*m**2*n**4 - m**2*n**2 - 4901*m*n**3 + 3*n wrt n.\nAnswer: 24*m**3 - 48*m**2*n - 29406*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w + 13 = 149 - 60. Let v = 25 - 18. Let s = v + -4. Put 4, w, s in increasing order.\nAnswer: w, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02058 from -3889.\nAnswer: -3889.02058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 230076 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*x**3 - 146*x**3 - 143*x**3 - 126*x**3 + 713*x**3 - 150*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + 0 + -3 - (44 - 43)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 6*q + 1. Let h(i) = -i**2 - i + 2. Let s be h(-2). Suppose 0 = -5*w - s*w + 30. Calculate o(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l + 4380. Let r be g(0). Let f = -1793 + r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/247272100 and 53\/247272100.\nAnswer: 247272100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 147484298 divided by -806\nAnswer: -182983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/23)\/s)\/s)\/s**(-3\/11))\/(((s\/(s*s\/(s\/(s\/(s\/s**(-2\/17))))))\/s)\/s**1) assuming s is positive.\nAnswer: s**(293\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6462 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k - 35*k - 2 = q, -4*k - 4*q = -8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94442.55 days in hours?\nAnswer: 2266621.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5335 + 18*w + 2631 + 2704.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -15, 3, 13, -1 in increasing order.\nAnswer: -15, -2, -1, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -1, 1, 2\/9, 4, -0.61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-3))\/(2\/(-7)) and ((-186)\/(-8))\/((-36)\/(-32))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 7 = -v, -4*v + t + 11 = -13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**2 + 2518*r + 3327*r**3 + r**2 - 3318*r**3 - 13*r**4 wrt r.\nAnswer: -156*r**2 + 54*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -85, -20, 61, 152, 247, 340?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/6 + 10*d**3\/9 - 14*d**2\/3 + 1342. Factor b(j).\nAnswer: 2*j*(j - 2)*(j + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + r**2 + 11*r**2 + 3*r + 2*r. Let n(q) be the second derivative of -1\/3*q**4 + 0*q**2 + 0 + 3*q - 1\/2*q**3. Give -8*n(p) - 3*s(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5803 = 4*r - 2*d - 30345, -2*r + 12250 = -4*d. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/33 + (-1)\/((-3)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*y + 20, -2*y + 16 = -4*c - 3*y. Let f be (2\/(-5) - (-111)\/15) + c. Let x be ((-112)\/(-12))\/2 - f. What is the nearest to x in 0.13, -0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-151)\/((-1208)\/128)*(-4)\/(-2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0238727 rounded to four dps?\nAnswer: -0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)*s**(-2\/17)*s**2\/s*s\/(s*s**(2\/7)) assuming s is positive.\nAnswer: s**(-1238\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 52*a**3 - a**2 + 2*a - 1. Let l be r(1). Suppose -4*v + l = -0*v. Let z = v - 5. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 33\/19 (c) -47 (d) -4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xznnzxxnnrzxxxz. Give prob of picking 1 n and 1 z.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6 - -2) + -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + 3.4?\nAnswer: -49.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 90*y = -91 + 1433, d + 3*y - 43 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*s + 1 + 159*s**3 - 155*s**3 + 54*s to the form u*s + f + c*s**3 + n*s**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - 4) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -945 + 3*h**2 - 2*h**2 + 945.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -134, -8 in ascending order.\nAnswer: -134, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 2, s: 1, h: 2, n: 1}. Give prob of picking 1 s, 1 l, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 - 3*u - 1115 + 1115 + 2*u**2 in the form r*u**3 + c*u**2 + m + w*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 82. Let v(l) = l**3 + 20*l**2 + 12*l + 40. Does 18 divide v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822939 to the power of 1\/2, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**11\/s)\/s**(-2\/9)*(s*s**(-1\/2))\/((s\/(s\/s**1))\/s*s))**2)**46 assuming s is positive.\nAnswer: s**(8050\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**12\/z)\/(z\/(z\/(z\/(z\/z**(4\/9)))))*(z**13)**(-4\/7) assuming z is positive.\nAnswer: z**(197\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1.4196\nAnswer: -0.28392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*x**4 + 113*x**3 + 27*x**2 + 434799 wrt x?\nAnswer: -156*x**3 + 339*x**2 + 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.751850985 to 2 decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*((-3)\/4 - 0). Let a(u) = -9 + 0 - 2*u + g. Let m(r) = -4 - 8 + 0*r - 2*r + 5. What is -6*a(t) + 5*m(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79\/8 + 1535\/136. Let r = q + -107\/136. Let x = 13731\/670 + 2\/335. Find the common denominator of r and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 117709647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-210)\/(-49) - 4\/14. Suppose 7*z = b*z + 6. Solve z*u + 17 = 3*p, -4 = 3*u - 2*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5*i + 19 = 2*z, i - 3 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a - 39*a = 2*i + 8, 5*a = -4*i - 25. Put -16, a, 3, 131 in descending order.\nAnswer: 131, 3, a, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -3\/5 (b) -0.2 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 5*o - 15. Determine f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-16828)\/840 - (-40)\/2\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(-4 - -2). Let v = 7 + w. Let h(a) = -2*a**2 + 13*a - 3. Let g(k) = -k**2 + 6*k - 1. Let x(f) = -5*g(f) + 2*h(f). Give x(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 514 - 395. Calculate the remainder when m is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*u + 20, 5*u = -2*k - 0 + 27. Let h(d) = 9*d - 121. Let r be h(14). Let z be r\/((-200)\/12) - 1\/5. What is the nearest to -0.2 in z, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -105?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4883 + 9799 - 5238 + (4 - 1 - 2)*(2 + 1 - 2))*(4 - 1 - 2)*(-5 + 0 + 3)*(0*k**2 + 5*k**2 - 3*k**2 + (-1 + 1 - k)*(-1 + 1 - k)).\nAnswer: 1926*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 498088 or 498096?\nAnswer: 498096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 49, -17, -67, 16, -4 in increasing order.\nAnswer: -67, -17, -4, 2, 3, 16, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, 2, -6, -70, -220, -486, -898?\n\"Answer: -5*a**3 + 17*a**2 + 2*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 1822 + 1822. Let y(o) = -10*o**2. Calculate h(y(f)).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(3*sqrt(160))*4)**2 + (sqrt(189)\/sqrt(3) - (sqrt(42)\/sqrt(6) + 4)) + 4.\nAnswer: 7\/9 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12537\/4 - ((-22825)\/100)\/83 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - c**2 - 3*c + 4. Let t(g) = -2*g**3 + 2*g**2 + 3*g - 3. Let s(r) = -2*p(r) - 3*t(r). Let z(y) = -y**2 + y + 1. Give s(o) - z(o).\nAnswer: 2*o**3 - 3*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -23. Let m = -10 + s. What is the nearest to 2\/3 in m, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o + 0 - 11*o**2 + 5\/24*o**4 + 0*o**3. Let f(q) = -2*q**2. Determine f(w(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151*b**3*m*z**3 - 1884*b**3*z**3 - 28*b**3 + 2*b**2*m*z**3 + 37*b**2*m*z**2 - b*m*z**3 - 1576*b*z - 664*z wrt b?\nAnswer: -906*m*z**3 - 11304*z**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by -64.\nAnswer: 91\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(21)\/sqrt(3)) + -2*sqrt(1728))\/(sqrt(24)\/(2*sqrt(4)*-3))*4.\nAnswer: 552*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 147 - 13?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-255)*6*855\/171\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208)*-2 + -2 + sqrt(208) + 1 + (sqrt(208) + (sqrt(208)*-2 - sqrt(208) - sqrt(208)) + 3)*4)**2.\nAnswer: -832*sqrt(13) + 35216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pccpbpppcbpcbcc. What is prob of sequence bbpc?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52411534 + 5?\nAnswer: -52411525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1957, -1958, -1959?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f - 30. Let d(y) = 3*y + 10. Let v(r) = -11*d(r) - 4*i(r). Let a be v(-2). Solve a*l - 2 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 9*j - 3*j + (3 - 6 + 0)*(j - 6*j + 3*j + (-1 + 2 - 3)*(-3 - 2*j + 3) + j + 0 + 0) to the form n + c*j and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 3. Let d be p(2). Let c be (2\/4)\/(d\/8). What is the second derivative of -3*y + 2*y**5 - c*y**4 - 4*y**4 + 8*y**4 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 9*r**2 - 6*r - 1. Let d be f(-10). Let j = d + 50. Suppose 2*g - 15 = -5*y, -2*g - 1 = -2*y + 5. Put j, g, -1 in ascending order.\nAnswer: -1, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s - 425*s - 306*s as l*s + z and give l.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h - 1. Give b(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7418687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151929?\nAnswer: 3, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 5. Suppose -u*x + 9 = -3*x. Solve 2*k = -x*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24202.\nAnswer: 2, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-120)\/16 + 5 + 3)*(1 + 9193)?\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31651, 34917, 38183, 41449?\n\"Answer: 3266*a + 28385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -103. Suppose 56 = 5*z - r. What is the lowest common multiple of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.008 and 155617784955.\nAnswer: 155617784955.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 - 2*l**2 + 3*l**2)*(-3 + 26 + 12) to the form t*l + z*l**2 + c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1848 - 9207\/5. Let k = z + -32\/5. Which is the closest to 2? (a) 4 (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278627?\nAnswer: 3, 7, 60887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2, 3, -35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/8 - ((-408)\/96 - -4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -513493*m + 513462. Calculate x(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -5. Suppose -21 = -2*q - i, -4*i + 48 = -0*q + c*q. Suppose 65*t - q = 62*t. Solve -d + t*s = 4*d - 1, 4*s = -3*d - 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2\/7, 2\/3, 10, 7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a factor of 3157996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 7 = -k, 111*i + 4*k - 9 = 114*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 10, -39?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*z + 20, z - 24 + 19 = 0. What are the prime factors of 475 + 1*(2 + 10\/y)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 11) + -6 + (15 - 2) + (29 - -7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425562246 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441604 (base 9) in base 11?\nAnswer: -826717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41b4 + 8?\nAnswer: -41a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 7*m + 6. Let g be z(-6). Let j be 5 - (-253)\/(-55) - 26\/(-10). Suppose 5*f - j = g. Solve -h + 7 = 4*o, -5*o + f*h - h = -25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10216 + -10169. Solve 29*d = m*d - 36 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + m + 0*m. Let o(u) = -12*u**2 + 13*u. Let y(t) = -t**2 + t. Let i(j) = -6*o(j) + 78*y(j). Give r(i(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 3*w**3 + 0*w**3)*(3 + 3 + 5)*(4 - 1 + 0).\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6, 3*v + 3 = 2*g - 1. Let i be g\/1 - (-3 - -3). Solve 8 = i*y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 + -256. Let u = -94.3454 + 179.3533. Let b = v + u. Round b to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311845 is divided by 405?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 41*q - 368. Let i be v(-25). Calculate the highest common divisor of i and 2656.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = f + 1, -4*u = -9*u - 2*f + 1. Let t = 581620010 - 5735354928931\/9861. Let m = t - -59\/57. Is m equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 1)*(2 - 2 - 1) - 33 - 3 + 73)*(-3*d - 2*d - 8*d)*(-d - 12*d - 7*d).\nAnswer: 9360*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 49.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1405 + 1407. Let o be (0 + (-1)\/(-2))*246. What is the second derivative of 4*z - 102*z**s - z + o*z**2 wrt z?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10236573*m*n - 32513050*n wrt m.\nAnswer: 10236573*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8 = d. Suppose 5*f = 5*a + 7 - 52, -d*f - 4 = 4*a. Let c = 16 + a. Calculate the remainder when 58 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0612495 less than 6034?\nAnswer: 6033.9387505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -8*d. Let u(p) = -13*p**2 + 11*p + 11. Let h(n) = -4*n**2 + 4*n + 4. Let r(q) = -11*h(q) + 4*u(q). Calculate b(r(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/205 and -7\/204795?\nAnswer: 204795","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (54\/7)\/(-5*12\/(-280)). Calculate the common denominator of ((-42)\/(-8))\/7 - 759\/f and -17\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 e when four letters picked without replacement from fffffffffffffffeef.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(34\/(-40) - -1). Let b be (2 + -2 + -3)*-1. Suppose 2*z = -b*z + 5*l, l = -2*z + 9. Solve -z*n - 2*n = y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 - 310*u**2\/7.\nAnswer: -u**2*(u + 310)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (6 - -5) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1577356\/7 at most -225336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -20. Let c(y) = -2*y**2 - 13*y - 31. Let f be c(n). Let q = -72 - f. Solve 2 = -5*m + 5*g - 13, -q*g = -2*m - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 46 + 9 + 41 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4555? (a) -4 (b) 4 (c) 0.1 (d) 0.2 (e) 29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 176065*n**2*x*z + 56970*n**2*z - 68*n*z - x*z - 31*x - 2*z wrt x?\nAnswer: 176065*n**2*z - z - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57 and 248901310937.\nAnswer: 248901310880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 7*y. Let w be f(-7). Suppose w = 6*m - m + 5. Let g(z) = z**2 - 1. Let v(c) = -c**2 - c + 2. Let o(l) = m*v(l) - 3*g(l). Give o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11352 and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1854038462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 25 = -2*g. Let i be 386 - g\/(15\/(-12)). Suppose 45 = -y + i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**4\/24 - x**3\/3 + 27*x**2. Let w be 2\/5 - (-18)\/5. Let c be l(w). Solve r + c*r = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 289*n**2\/3 + 328916*n + 280758828 = 0. Calculate n.\nAnswer: -29022\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -31*k + 2. Suppose 24*p - 36*p + 108 = 0. Let l(u) = 9*u**2 + p*u**2 + 9*u**2 - 26*u**2. Give t(l(n)).\nAnswer: -31*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13*7\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 28 = -3*o - 5, 0 = 3*j - o - 1. Let n(k) = 3 - 2*k - 8 + k + j*k. What is the remainder when n(6) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - o - 279 = 3*n, 5*o = -5*n + 285. Suppose -2 = -2*d + 2. Suppose -a + 9 - 29 = -d*q, 0 = 5*a + 20. Calculate the greatest common factor of q and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) + -4*-1*sqrt(19) + -2 - (sqrt(76) - (-4*-2*sqrt(76) + sqrt(76)))\/sqrt(4))**2.\nAnswer: -156*sqrt(19) + 9645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -1557.\nAnswer: -8\/519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 21. Let p be 2\/(-2)*(-8 - k). Let q(z) = -11*z**3 + z**2 + z. What is the remainder when 32 is divided by q(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5077 + -0.0923. Which is the second smallest value? (a) -5 (b) -4 (c) -2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 242052?\nAnswer: 242042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, 3\/46, -1\/7, -1, 0.33, 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 - 2*w**2 - 5*w**3)*(0 + 4 - 2).\nAnswer: -10*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22392 - 126390 - 161994 = -22166*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 + 13*s + 19. Let z(q) = q**3 - 17*q**2 + 37*q + 56. Determine -17*r(c) + 6*z(c).\nAnswer: 6*c**3 + c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2592) + sqrt(2592) + 1 + sqrt(2592) + 6*sqrt(2)*2*-3 - ((-2*sqrt(200))\/sqrt(4) + sqrt(200)*3).\nAnswer: 1 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c. Let z(w) = -3*w. Suppose -15 = 3*i - 5*r, -3*i - 15 = 2*r + r. What is i*b(j) + 6*z(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfc when three letters picked without replacement from {v: 2, z: 1, f: 10, c: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u - 4. Let g(n) be the first derivative of 5*n**2 + 3*n + 12. Suppose 3*j = -m - 24, -5*j - m + 22 - 60 = 0. Calculate j*g(r) - 5*z(r).\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = d - 2*d + 8, -25 = 5*o - 5*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 13*n**2 + 1 + (3 + 4*n - 3)*(-5*n - n + 4*n) + (-1 + 5 - 1)*(n**2 - n**2 + 3*n**2).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 10:31 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzzazkzzckaajjkcaaa. What is prob of sequence acj?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(2\/5)*m)*m\/(m\/(m**(1\/2)\/m))*(m**(-5\/4)*m*m)\/(m\/m**(1\/3)))\/(((m\/m**(1\/2))\/(m\/m**1))\/(m**(-4)*m\/m**(-1\/7))) assuming m is positive.\nAnswer: m**(-1333\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 28. Solve k = 4*l - 2 + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135806215.\nAnswer: 5, 27161243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4813 is divided by 151?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/41)*c**(-11) assuming c is positive.\nAnswer: c**(-453\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20043 and 0.0024?\nAnswer: 20043.0024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14595+0.2\nAnswer: 14595.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42643 (base 7) to base 8.\nAnswer: 24567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12034*g. Let x(c) = -2*c**2 - 26*c + 78. Let b(r) = r**2 + 12*r - 36. Let l(o) = 13*b(o) + 6*x(o). What is j(l(h))?\nAnswer: -12034*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 m when four letters picked without replacement from {v: 2, i: 6, m: 10}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -11*j - 20. Let c = -50 - -81. Suppose -c + 1 = -5*g. Solve -j*v = -3*v + g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*d - 17215 - 19745 = 40*d + 326*d for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {p: 1, v: 1, b: 1, o: 2, w: 3, c: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678, -682, -686?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335382 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-976)\/(-2440) - (178\/70 + (-72)\/48)?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 281, 5, -98 in descending order.\nAnswer: 281, 5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 13 = 2*s, 0*n = -5*s + 2*n + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 16*d + 27. Let w be x(15). Suppose -w*u + 80508 = -6*u. Let h = u - 43218. Round h to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1770 - -1775. Solve 3*c = -q*o + 6, 10*o + 10 = 9*o + 5*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 68*s**2 + 70*s. Let x be h(-35). Let p be ((-55)\/564)\/((-9)\/(-27)). Let y = p + 2\/47. Which is the nearest to x? (a) 4 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = 0, 3*a - 31 + 3 = -5*p. Let y = a - 9. What are the prime factors of 4 - (-52 - 0\/y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.79 - 0.01. Let t = b - -1. Let l = 0.1 - t. What is the closest to l in 0.1, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:24 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 8*z - 7. Let d(r) = -4*r**2 + 7*r + 6. Let s = -40 + -65. Let q be ((-1)\/(-3))\/(1*5\/s). Calculate q*d(u) - 6*v(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11309028 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 684 * 0.2\nAnswer: 136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16320*634\nAnswer: 10346880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350033 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: Three letters picked without replacement from {t: 5, k: 1, i: 1, h: 1, s: 4}. Give prob of picking 1 s, 1 i, and 1 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 314 + -3.3\nAnswer: 310.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7044 and 16337384?\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 - 12*u**3 + 12*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 143886 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**2 + h**3 + 4 + h**2 + 0*h**3 + 2*h + 2*h**2. Let k be f(3). Let t = 1920 + -1917. Solve -4 = 4*p, -t*z - 5*p + k + 0 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 4*v + 2*v**2 + 4*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -32*p + 383. Let m be n(12). What is the closest to 0.25 in -5, 0.4, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.5297ml to litres.\nAnswer: 0.0145297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (63 - (22 + 119)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 - 779 = -24*i. What is the greatest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -18*j**3 - 58*j**2 - 48*j - 8 = 0?\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 322722*f. Let h(j) = 2*j. Calculate h(c(l)).\nAnswer: 645444*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22651 is divided by 7541?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1099, -2873, -4661, -6469, -8303, -10169?\nAnswer: -12073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v + 860 - 2775 = 318*v + 1790 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158204468?\nAnswer: 2, 3, 23, 4196393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7386 divided by 3693\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 10013 = 5287. Let o = 1667 - w. List the prime factors of o.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1884675*n - 298389*n - 8601259*n.\nAnswer: -7014973*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-3) - 90\/(-40). Do y and 1.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -6, 55, 140?\n\"Answer: 12*k**2 + k - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388180 to the power of 1\/2, to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/16*47\/((-314571)\/1552)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 132, -1, -3\/5, -45, -1\/3 in increasing order.\nAnswer: -45, -1, -3\/5, -1\/3, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 35 = 27 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 8:14 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 16 + 9 - x to l + m*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8122752 and 27075840.\nAnswer: 81227520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 14.57. Let f = -0.01 + a. Round f to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.6172 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120245?\nAnswer: 5, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16*i. Let m(y) = -13*y + 18*y + 2 - 9*y. Let o(g) = -17*g + 9. Let s(z) = -9*m(z) + 2*o(z). Calculate f(s(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463064 - 388196 = 17*b + 915159. What is b rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/24)*h*h)\/(h**1*h)*(h**10)**(19\/4) assuming h is positive.\nAnswer: h**(1163\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:13 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/15*1191555\/(-36)*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g - 4. Let x be o(-3). Let f = 3 - 8. Which is the third biggest value? (a) x (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -849 - 235?\nAnswer: -a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -24) + (6 - 4). Let a(c) = c**3 - 28*c**2 + 27*c + 1. Let l be a(g). Solve 0 = -2*o, -3*n - 8 = -o + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o**3 + 0*o + o**2 + 0 + 1\/12*o**4. Let h(y) = 6*y - 7*y - y. Give z(h(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1035187\/110 + 9410. Calculate the common denominator of -45\/56 and b.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4547309 to the power of 1\/2, to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -1, 916, 3, -5 in ascending order.\nAnswer: -5, -3, -1, 3, 16, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, 0.09, -60.816, 1\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58.53066 and -2.\nAnswer: 117.06132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2073 - -7852. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**27)\/(t\/((t**26\/t)\/t*t))*t**2\/t**(-13\/5))**(-1\/3) assuming t is positive.\nAnswer: t**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - b + 4. Let a be x(2). Let f(i) = -i**2 - 27*i - 29. Let h = 53 - 31. Calculate the remainder when f(a) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312182197 and 15009.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 221, 3\/7 in decreasing order.\nAnswer: 221, 3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -41 - 19. Let k be -24 - (q\/4 + 0) - 1. Let j be ((-1)\/(-2))\/((-6)\/(144\/k)). Is j > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 42909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000109512954 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjnnnjgj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0 = -9. Let t(s) = -s**2 - 4*s - 3. Let o be t(-4). Let g = q + o. Solve g = -4*l + 3*z - 4 - 2, -2 = -2*l - z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -155.95 + 151. Let a = c - 0.05. Let b = 5.02 + -0.02. Sort 0.3, b, a in increasing order.\nAnswer: a, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6914*(-4)\/(-12)*15\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/182)\/(16\/(-104))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 15, -2*d = -5*y - 515 - 101. Let n = -850\/7 - y. Factor -2\/7 + 0*x**2 + n*x**3 - 4\/7*x + 2\/7*x**4.\nAnswer: 2*(x - 1)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l = 3*b - 6522, 0 = l - 5. What is the lowest common multiple of b and 3?\nAnswer: 6537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 9*n - 7. Let p = -25 - -18. Let d be x(p). Solve -16 = 4*z, -z + 3*z = -5*q + d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1107 by -369.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 0 + 0)*(-2*d**2 + 3*d**2 + 4*d**2).\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (2 + (-2 - -1)). Let a = n + 0. Let h = 5 - a. Solve -2*c = h*x - x - 6, x - 18 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467846935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d + 94. Let h be w(-16). Let m be 14\/16 + (-10)\/(-160)*h. What is the second smallest value in -0.2, -40, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from laaaaaaghaaaaha?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1183*n - 40446 = 804*n - 61*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 123, -3, -1 in ascending order.\nAnswer: -3, -1, -1\/2, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 11:00 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27))\/(4\/(-24))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + 0 - (sqrt(33)\/sqrt(3) + -2 + sqrt(11)) - (sqrt(44) - (sqrt(44) + (sqrt(44) + 3)*-2))) + -5 + -3)**2.\nAnswer: 96*sqrt(11) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*g - 204104, -n - 37905 - 115173 = -3*g. Suppose 11*m - g - 27239 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27510*f + 28924*f = -31712 - 17498 - 35630 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -7880406491.15?\nAnswer: 7880406491.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-4))\/1 - -2)*21377444\/302511?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20281443 and 36309.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r. Let n(t) = -4530669*t. Calculate i(n(q)).\nAnswer: -67960035*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/12 and (-11)\/(-5)*55\/132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42185 divided by 8437?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v. Let r(c) = 2*c. Let w(o) = -6*b(o) - 10*r(o). Let a(l) = l - 21. Let k(y) = -4*y + 79. Let z(s) = 5*a(s) + k(s). Give w(z(d)).\nAnswer: -2*d + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*x - 2915 = -2883, 27*u + x = -111 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6512647?\nAnswer: 6512647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 4 + (sqrt(80) + -1 - sqrt(80))*2 + 5 + -5)*-6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26718.8 + -26719. Which is the fourth smallest value? (a) 0.1 (b) t (c) -1 (d) -0.78 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121310506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46301739 * 0.5\nAnswer: -23150869.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 85, -3.\nAnswer: -3, 0, 1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 2. Let j be s(6). Solve -j = 7*a - 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 436, 913, 1710, 2821, 4240, 5961, 7978?\n\"Answer: -p**3 + 166*p**2 - 14*p + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3784984 (base 10) in base 9?\nAnswer: -7108017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343230374?\nAnswer: 2, 3, 223871729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - (-14 + -22 + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/597036 and 111\/352.\nAnswer: 4776288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 8*c - 14. Let i be x(4). What is w in -w**2 - 4*w**i - w**3 + w + 2 + 3*w**2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-6*c - 9*c + 2*c - 15*c).\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 26*t**2 + 6*t + 24. What is d(-26)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (35\/(-11) + 3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -170*y + 3592 - 7*y**2 - 10760 + 3583 + 3585 in the form o*y + r + s*y**2 and give o.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.354369*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 26. Let g = -24 - c. Calculate the remainder when g is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + 1)**2 - (-5 + sqrt(3) + 1).\nAnswer: 7*sqrt(3) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 2*o**3\/3 - 12*o. Let u(g) be the second derivative of 13*g**4\/12 + 24*g - 34. Give u(z(m)).\nAnswer: 208*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.702 rounded to 1 dp?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3318 and 7416654.\nAnswer: 585915666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3038*v + 14497. Calculate s(4).\nAnswer: 2345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.3, -1\/17, 4.9 in decreasing order.\nAnswer: 4.9, -1\/17, -0.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 3*y**2 - y - 10. Suppose -4*o - 88 = d - 72, -22 = 2*o + 4*d. Let l(m) = m**3 + 2*m**2 - 9. Calculate o*l(w) + 2*s(w).\nAnswer: -w**3 - 2*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s**2 - 40*s**2 + 16*s**2 - 19*s**2. Let o(w) = -2*w. Calculate g(o(r)).\nAnswer: -208*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, p: 10, y: 4}. Give prob of sequence gp.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 208021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/85352 and 71\/376.\nAnswer: 85352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -0.122.\nAnswer: 0.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*c - 113 = -2*z + 691*c + 688*c - 2069*c, -4*z - 262 - 541 = -39*c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 2, n: 7}. Give prob of sequence xn.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 153736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let r(n) = n**3 - n**2 - n - 2. Let w be r(0). Suppose 0*y + 2*y - 3*x = 5, 0 = y - 3*x - 10. Sort w, h, y.\nAnswer: y, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*q - 23 + 7, 10 = 5*d. Let n(t) = t**2 - 2*t + 5. Determine n(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1300968.\nAnswer: 1300968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1219 or 1207?\nAnswer: 1219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 26. Let v(u) = 11*u**3 + u**2 + u - 1. What is the smallest common multiple of v(1) and w(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.26, -2, 3, -7, 0.1, 1\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41141 + 6098 - 31756 + 5451 = 4382*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10507285, -10507279, -10507273, -10507267, -10507261?\n\"Answer: 6*u - 10507291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2802 or -1\/3?\nAnswer: 2802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**4 + 743*y**2 - 619*y. Let f(t) = -t**4 - 4*t**2 + t. Let w(c) = -9*f(c) - z(c). Find the second derivative of w(l) wrt l.\nAnswer: -12*l**2 - 1414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 301*t**4\/12 - 3*t**3 + 61*t**2. Is a(1) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1.6, -6, 4 in ascending order.\nAnswer: -6, -4, 1.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 3, 25*p + 22*p + 24*p - 2*i - i = -2*i - 5*i - 67 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310137351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13348, 13347, 13346, 13345, 13344, 13343?\nAnswer: 13342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 10*r - 48 = 0. Suppose 0*i = 3*i. Let h be 0 - (0 + i)\/r. Solve h*z = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-4)\/50)\/((-6)\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4405?\nAnswer: 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 + 16*c - 7. Let t be b(-9). Suppose -8*h - 27 = -t. What is the tens digit of 3 + (72 - h - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4 + 2*y**2 + 2*y**2 - 26*y**3 + 1 + 2*y. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8946147 and 14?\nAnswer: 17892294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -763 + 1755. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 <= -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 9) + (-20 - (-10 + 3)) + 14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2434 - -2431. What is the third biggest value in v, 0.09, -1\/5, 3\/5, 4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2. Suppose 0 = -4*x - 0*x + 4. Let z(o) = 3*o**2 + 1 - 6*o**2 - x. What is z(r(f))?\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 32*x + 796. Give w(-24).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-72))\/(2\/762). Let r = -123 - x. Sort -16, 3, r.\nAnswer: -16, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 + 4*n - 12. Let o(p) = 9*p**2 + 6*p - 11. Determine 2*o(x) - 3*y(x).\nAnswer: -3*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 771216*n**3 + 1453173 wrt n?\nAnswer: 2313648*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*j**3 - 98*j**3 + 1 - 1.\nAnswer: -261*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 24*r + 204. Let i = r - -73. What is the highest common divisor of 55 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {b: 1, e: 5, f: 5, u: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1634\/4 - 1\/(-2). Let z = 553 - 828. Let m = c + z. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 2. Let n be u(4). Let v = n - 1. List the prime factors of (-9)\/(-12)*v*4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Expand (2 - 2 - y + 2*y - y + 0*y + (6 - 2 - 2)*(2*y + 1 - 1))*(3 - 2*y**2 - 3) + (-5*y**2 - 3*y**2 + 5*y**2)*(y + 0*y - 2*y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {w: 6, v: 1, c: 11}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.23692 and 153?\nAnswer: 153.23692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71\/4 - 18. Let d = 99\/445 - 2\/89. Let m = 94 - 98. Which is the closest to 0? (a) l (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 108?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 67*g**2 - 68*g + 180. Calculate a(66).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 303*g + 91809\/2.\nAnswer: (g - 303)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 - 5325*d + 52742. Determine t(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 5*z + 3*z)*(10*z + 4*z + 0*z) as t + c*z + j*z**2 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 1 = 3*q, -279*y + 278*y + 4*q - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1865284 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1311369, -1311359, -1311349?\n\"Answer: 10*m - 1311379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -587 smaller than -587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 9*s + 6*s)*((s - s - s)*(-3 - 2*s + 3) + 2*s**2 - 8*s**2 - s**2).\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raah when four letters picked without replacement from {h: 1, a: 10, r: 7}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 7*w - 5. Let r be b(3). Suppose -r = -2*m + 264. Suppose m = 7*p - 411. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29*1*(-8 + 9). Solve -2*a - q - 16 = 3*q, -5*q - o = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1438)\/(-14) + 8\/28. Suppose 3*x - j = -h, 4*h + 43 = 4*x - 121. Let z be (x\/10)\/((-2)\/(-5)). What is the greatest common divisor of 45 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 7. Let z(q) = 1. Let k(y) = -o(y) + 5*z(y). Suppose -2*h = 2*h - 32. What is the lowest common multiple of h and k(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.362 + -0.162. Let y = -1.2 + w. Let s = -15.99986 + y. What is s rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 14554.\nAnswer: 422066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 + 2*d + 2. Let f(c) = -17*c**2 + 9*c + 9. Let b(m) = -2*f(m) + 9*r(m). Let x(l) = 11*l**2. Determine x(b(y)).\nAnswer: 44*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 381660?\nAnswer: 763320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205*q**3 + 6 - 3 - 3 - 1203*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 72*h - 1407. Calculate r(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2243c (base 13) to base 10\nAnswer: -62243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502 - 10660*f + 4919*f + 5740*f.\nAnswer: -f + 502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2247840 divided by 72.\nAnswer: -31220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*a = 272*a - 122 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.946 + -0.054. Let g = 20 + x. What is the nearest to 1\/2 in g, 1\/4, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0*t**2 - 7\/6*t**4 - t**3 + 12*t + 0. Find the second derivative of h(n) wrt n.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-106)\/8*24\/(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9750*b**2*z**3 - 128*b**2*z**2 + 11*b**2 - b*z**3 + 43*b*z - 10541*b + 2*z**3 wrt b?\nAnswer: -19500*z**3 - 256*z**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, 5, -1, -6 in decreasing order.\nAnswer: 251, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233214, -233384, -233540, -233676, -233786, -233864, -233904, -233900?\nAnswer: -233846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16470 - 67*c**2 - 16470 + 569*c**2 + 243*c**2.\nAnswer: 745*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -1, -14, -4 in descending order.\nAnswer: 7, -1, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 5. Let g be w(-5). Let b = 0 + g. Suppose 40 = 5*x - b*x. Solve -2*c - x = 0, c - 22 = -5*t + 4*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b9dd (base 16) to base 13\nAnswer: -63417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 122*x - 124. Determine i(-121).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6921 - 6868. Calculate the remainder when 1231 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-7))\/(1*7*2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-88)\/(-66))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g + 49*g - 24*g + 2*g**2 - 7*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -7661.55?\nAnswer: 7667.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -27, -2, 2, -5 in decreasing order.\nAnswer: 2, -1, -2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15016 - -25610. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.37 (b) -2 (c) 3\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - m - 306 + 22 = 0, -m = 2*z - 148. Calculate the smallest common multiple of z and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32371, 35679, 38987, 42295?\n\"Answer: 3308*z + 29063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -40. Let r be 1 - ((4 - v) + -3). Is 10 a factor of (-1)\/r*-164 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737 (base 11) in base 8?\nAnswer: 4252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -704*w + 249. Give x(1).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*i + 51, 0*c + 5*c - 339 = 4*i. 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 square root of 16238747 to the nearest integer?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -10)\/(3 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = -12*y + 143 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 11:53 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.102145 * 3.\nAnswer: -72.306435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1\/(-2)*(-4 + 4). Solve -11 = -o + 3*l, -2*o + 0*o + 2*l + 14 = n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/p**18)*p\/p**(-1) assuming p is positive.\nAnswer: p**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -90*t - 2253. Give i(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5233033 - 11?\nAnswer: 5233022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23863943.\nAnswer: 19, 1255997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/5 - 26*c**2\/5 = 0. What is c?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1400*b + 100. Let n be j(-19). Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 3. Let f be t(3). Solve -h - f = 4*s, 2*s + h + 4 = -9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 7569.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 18*d = -17316. What is the common denominator of 89\/4 and (-2)\/7 - d\/378?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.06, 0, 0.007, -2\/35 in ascending order.\nAnswer: -2\/35, 0, 0.007, 0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7688832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 86. Solve -6 = h + p*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -562, -554, -546, -538, -530?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6*i = 32. Calculate the common denominator of -24\/7 and (-204)\/44 + -2 + i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.6016, -2\/15, 4.\nAnswer: -9.6016, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12803.5 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -349.68 - -349.57. Put u, -2\/185, -2 in decreasing order.\nAnswer: -2\/185, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 + -8) - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215887413*j**2*y**3 - j**2*y**2 + 677868*j**2*y - 56*j*y wrt y?\nAnswer: 1295324478*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 3*g)*((-g - 3*g + 3*g)*(2 - 1 + 0) - 3*g - g + 3*g + (-3 + 2 - 1)*(5*g - 8*g + 88*g) + (-5*g + g + 3*g)*(2 - 4 + 0)).\nAnswer: -340*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3693408250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p. Let k = -6780 + 6780. Let z(b) be the third derivative of 0*b**4 - 21*b**2 + 0*b + 1\/30*b**5 + k*b**3 + 0. Give d(z(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 8) in base 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*f = -2*m - 4, -3*m + 1 = -2*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 5*x**2 - 2*x - 5. Let p be o(-5). Let q(t) = -t + 5. Let u(n) = 2*n - 4. Let w(v) = -3*q(v) - 2*u(v). Let l(g) = -1. Determine p*l(f) - w(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 303731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let h(i) = 8*i + 7. Let z(j) = 4 - 51*j + 114*j - 56*j + 2. Let m(l) = 6*h(l) - 7*z(l). Let o(s) = 2*s. Let c(a) = 7*m(a) + 2*o(a). Give c(r(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 2*u**2 - 30310*u - 30313*u + 60623*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91806935.\nAnswer: 5, 11, 43, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 668*l + 32 + 303*l + 86*l + 460*l + (0*l - 5*l + 4*l)*(-2 + 3 - 2) - 5*l + 4*l + 2*l as o*l + v and give o.\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12807 + -7675080.\nAnswer: -7687887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 7 = -b + 4*l, -5*b + 3*l - 22 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-598))\/((-24)\/26)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1715 and -863941209987.\nAnswer: -863941208272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 0*f**3 + 0*f**3)*(-3*f - 4 + 4) + (2*f + f - f)*(-4*f**3 - 49*f**2 + 49*f**2).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in -3, -2, 12733, 0.11, 0.5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 2, b: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640 - -625 - (2 - 23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 725 and 2174\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18321 + 26739. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39269309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 63.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 1930582*q + 3861156.\nAnswer: 2*(q - 965289)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/(-144)*(-6)\/(-4)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 2*c - 8. Suppose c*m = 73 - 1. Solve 3*w - 3*p - 2*p + m = 0, -17 = 5*w - 4*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 13, -45, 0, 10, 18 in decreasing order.\nAnswer: 18, 13, 10, 3, 1, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1.2, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010447 + 316243 = 7*b. Is (b\/6)\/(18\/(-27)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -50. Suppose j + v = -3. Let i(a) = a**3 + a**2 - a + 4. Calculate i(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -317 in decreasing order.\nAnswer: -3, -4, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (531\/24780)\/(1\/180)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442442 (base 6) in base 5?\nAnswer: -2140030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24177494771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/2 - (3 + -4). Let g(t) = 5*t - 19. Let h be g(4). Solve h = -r*o + 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1412517 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75079955 is divided by 343.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22629?\nAnswer: 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11025683 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 22 - 25. Let h(a) = -2 + 4 - 2*a + 4*a**2 - a**d + a**2 - 2*a. Calculate h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -165 + 178 - (-5)\/(15\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {c: 2, i: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7139, 7140, 7141?\n\"Answer: t + 7138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4830)\/(-49))\/30 - (-1 + 4). Let n be (-58)\/(-18) + 15\/(-5). Let q = 0.6 + -0.7. Which is the closest to d? (a) n (b) q (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -414 - -286. Let w = -174 + 46. Let n = w - l. What is the second biggest value in -0.5, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 93*d + 442 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + 66*z - 61. What is k(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10553143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1000011011111100100101100001?\nAnswer: 1000011011111100100101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8356240 and 53600.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 213*v**3 + 2*v**2 - 1. Let s be h(1). Suppose 3*q + s = d, -d - 2*q - 3*q + 206 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 times -167?\nAnswer: -384.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 740, 375, -2, -397, -816?\n\"Answer: -s**3 - 358*s + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -842206?\nAnswer: 842206.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -10, -9, 2, 29, 78, 155?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5 + d + 1 - 5*d**2 - d**3 - 3. Let o be (-18)\/(-81) + 94\/(-18). Calculate l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -392 - -396. Which is the closest to -1? (a) 0.1 (b) -11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 - 10*g**2 - 8*g - 3. Let u(x) be the second derivative of x**5\/20 + x**4\/12 + x**2\/2 - 10*x. Let o(i) = -d(i) - 2*u(i). Determine o(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + (10 - (-10 - -21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.1. Let s = -7.065355 + 0.065355. What is the nearest to -1 in p, -0.08, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = n - 223, 4*n = -n + 15. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*k - 88*k + 22*k)*(-1 - k**2 + 0*k - 2*k + 6*k).\nAnswer: 35*k**3 - 140*k**2 + 35*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.2, 3\/11, -3 in descending order.\nAnswer: 3\/11, -0.1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2851830017 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192.2999991828 - 192.3. Round r to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**5\/15 - v**4\/6 + 2*v**3\/3 + v**2\/3 - 4*v\/3 - 15. Find q, given that b(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + n + 2. Let i be t(-2). Let m be (2 + (-20)\/(-12))*90. Let p = 438 - m. Calculate the greatest common divisor of p and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + ((0 + 1 + sqrt(19))**2 - sqrt(19)) + sqrt(95)\/sqrt(5) + sqrt(19) + -1.\nAnswer: 4*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:44 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 250*g**3 - 485*g**2 + 1700. Find the second derivative of y(h) wrt h.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 245*i**2 - 47*i - 205. Is t(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*m + 220 = 0, 12 = -4*m - 8. Let u be 9*1*(2 - 3). What is the remainder when b is divided by 124\/9 + (-2)\/u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 5*p + 5*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 252*k**3 - 1343*k**2 - 1152*k - 272.\nAnswer: (k - 68)*(k + 4)*(2*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*-3*30\/(-45). Let q = 1.6 - -0.4. Which is the third biggest value? (a) q (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -795 at least -864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02326 and -2.2514?\nAnswer: 0.052367564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)*r)\/r**(-13\/3) assuming r is positive.\nAnswer: r**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 612.450651 rounded to the nearest ten?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 18}. What is prob of sequence ih?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 186 - 114 = 0. What is the lowest common multiple of -1*m\/(-5)*12\/5 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(-5*(sqrt(336)\/sqrt(8) + sqrt(42)))\/(sqrt(48)\/sqrt(8)*2) + -3))**2.\nAnswer: -960*sqrt(7) + 11344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 15691 = -73*u - 146*u for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.1507 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9017*d**2 - 11*d + 1. Is z(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50caa (base 13) to base 16\nAnswer: -2364d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50271, 100489, 150693, 200877, 251035, 301161, 351249?\nAnswer: 401293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 14*j + 2673. Suppose 2*v = 743 - j. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44.1 + -43.8. What is the closest to d in 0, -5\/3, 3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 459*r**2 + 1193*r - 2391. Give d(2).\nAnswer: 1831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 212\/689 - (274\/130 + -2). Determine n so that -3\/5*n**2 - n**3 + 4\/5 + n - f*n**4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(143) - sqrt(143)))\/(sqrt(99)*6) + 4.\nAnswer: -5*sqrt(13)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 2 z when four letters picked without replacement from {f: 5, u: 2, q: 1, d: 4, z: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*r + 9, -2*x + 4*x - 14 = -4*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 35 = 5*g, 9 = 4*y - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 680992 by -4.\nAnswer: -170248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6647991*-4.\nAnswer: -26591964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 92 = -2*f + 4*f, 5*f = -5*d + 250. Let n be d + -3 + -1 + -1. Let j = n - 17. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 19*t**3 + 4*t**2 + t + 3. Let s(p) = -56*p**3 - 11*p**2 - 3*p - 8. Determine -4*s(b) - 11*v(b).\nAnswer: 15*b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392735579?\nAnswer: 392735579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99564, -796544, -2688352, -6372402, -12446108, -21506884?\nAnswer: -34152144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 24 = -4*g, q - 157*g + 152*g + 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - (-9)\/(-6)*-20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32136733 (base 8) to base 14.\nAnswer: -ca9827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25 - -4) + (-65 - -43)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**3 + 10*p**2 - 1. Let b(u) = -2*u**3 + 30*u**2 + 33*u - 24. Let s be b(16). Let g(q) = 11*q**3 + 15*q**2 - 2. Calculate s*z(x) + 5*g(x).\nAnswer: -x**3 - 5*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1937979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 174 - 66 = 0. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 17. Suppose 0 = 2*d + 11 - y. Let m = d - -59. What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2251*f**2 - 2*f + 2*f + 1 - 2642*f**2 - 1888*f**2 to j*f + u*f**2 + r and give u.\nAnswer: -2279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(-1)\/2)\/(-2). Let j = -0.011 - -7.811. Let w = 8 - j. Which is the nearest to x? (a) w (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0)\/(-6)*0. Suppose -5*s - 25 = -t*s. Let u be s + 3 + 17\/8. What is the second smallest value in u, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 12816.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 11*w + 15. Let x be f(-11). Suppose -4*m + 79 = o + x, -16 = -m - 5*o. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + t = -139761, 89*a - 5*t = 88*a - 69875. What is a rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70342036 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 4*v**3 - 5*v**3)*(-5 + 1 + 2) + v - v - 2*v**3 + 4*v + 0*v - 2*v - v**3.\nAnswer: -7*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8538318 divided by 306.\nAnswer: -27903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 14737, -2\/31?\nAnswer: 14737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94462.\nAnswer: 2, 73, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3 - 192*x**2 + 3*x + 192 = 0. What is x?\nAnswer: -64, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from {z: 5, r: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(8844\/2949 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose -8*p - 5*u = -3*p - 25, 3*p + 5*u - 17 = 0. Let o be 4\/p*(-2 - -2). Solve 0 = 4*w + t - 20, -2*w + o*w + y = -t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 9. Let c be o(7). Let a = -13 + c. Let f be 6\/9*a\/2. Solve f = -2*s + 9, -32 = -4*v - 5*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (12 - 12 - -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + 3*d**2 + 7 + 2*d - 2 - 2 + 3*d**2 in the form w*d**3 + g*d + c + a*d**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 64*p - 5. Is g(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 10*y**2 - 9*y - 23. Determine b(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -499 - -511. Let s be (-57)\/(-21) + (-36)\/u. Which is the nearest to 1? (a) 2 (b) s (c) 2\/5 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188948 is divided by 1487.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2815*x - 99*x**3 + 1383*x + 1432*x.\nAnswer: -99*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:20 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -5*z + 4*c + 101, 36*c + 153 = 5*z - 28*c + 66*c for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1013 times 2\nAnswer: -2026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*t - v + 3, 10 = 2*v. Let q be (1 + -7)\/(t\/1). What is the units digit of (3*-1)\/q*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1039207192*o. Let q(x) = -x. What is q(c(h))?\nAnswer: 1039207192*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 2:54 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, 0.2, 4, -2\/11 in decreasing order.\nAnswer: 379, 4, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 12*u + 2. Let v = 2108 + -2097. What is t(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/6969?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261985\/14 - 18721. What is the common denominator of -85\/46 and p?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 134. Let o = -57 - a. Is 0 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12)*(-2 - -2). Suppose -25 = -a*j - 5*j. Solve -4*p = -z - 3*z + 4, 5 = -j*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 14 = 77. Calculate the remainder when 60 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 48 = -2*y. Let g be ((-2)\/(-1))\/(388\/32 + -12). Are y and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1614 by -6.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 + 191 = 54*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1373*z - 1372*z + 2 = 0, -14*z = i + 373 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 10) to base 8\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose -581 = 4*n + 3*n. Let x = n + 81. Which is bigger: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4508\/(-115))\/(-2) - 4\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166461 - 56?\nAnswer: 166402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**2 + 28*z + 23*z - 2 - 65*z**3 + 67*z**3 - 34*z. Determine p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 0.5 (c) -1 (d) 1\/6 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7851?\nAnswer: 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 492.7 - 493. Which is the nearest to 0.8? (a) 8 (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 217*n - 3441. Let k be o(26). Is 2205 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 409, 741, 1055, 1351, 1629, 1889?\n\"Answer: -9*a**2 + 359*a + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 14, -11, -4, 13 in descending order.\nAnswer: 14, 13, 4, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b - 380. Let o = b - -103. Solve -i - i = -o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 4. Let r be p(0). Let z = 31 - r. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8668*q - 17348*q + 8680*q + 4491*q**2.\nAnswer: 4491*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 2*c - 7 - 3*c - 4*c + 144. Let f be o(16). What is the greatest common divisor of 287 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/5, 3\/7, 413, 6\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/2)\/p)\/p)\/p)**43 assuming p is positive.\nAnswer: p**(-301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3000 = -412. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*i + 29 = 18, -4*s = -i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*w**5 - 30*w**4 + 212*w**3 + 582*w**2 + 308*w - 48 = 0. Calculate w.\nAnswer: -3, -2, -1, 1\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10240831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*v + 3*x - 609 = 0, 309 = 2*v + 3*x. Let c(l) = -2 + 1 + 24*l**3 - 2 + 4. Let n be c(1). What is the highest common factor of v and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1 = 11. Let g(n) = 4*n**2 - 2*n - 2. What are the prime factors of g(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**4 + j**3 - 6*j. Let s(n) = -n**4 + n**3 - 7*n. Let o(d) = 7*a(d) - 6*s(d). Suppose o(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7790 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -32030525952866?\nAnswer: -32030525952865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1952601 divided by -49\nAnswer: -39849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 5*c - 5*a, -5 = 3*a - 4*a. Suppose c*z - 50*z = 0. Solve z = 3*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(80) + sqrt(5)) + (sqrt(25)\/sqrt(5)*-6)**2 + (sqrt(15)\/sqrt(48))**2 + sqrt(60)\/sqrt(3).\nAnswer: 32*sqrt(5) + 2885\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155.209 + 155. Let d = 0.208847 + o. What is d rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, t: 3, y: 2}. What is prob of picking 1 e and 3 t?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 - 2*q**2 + 5*q**2 - 3*q**4 - 2*q**2 wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.201 - -3.34. Let x = j + 6.861. Put -1\/3, x, 2 in increasing order.\nAnswer: -1\/3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9261)\/(-98))\/63*(-7)\/(7\/18).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*3*sqrt(143) - 6*sqrt(143)*2)\/(sqrt(440)\/(sqrt(10)*-1) + 5*sqrt(88)\/sqrt(2)))**2.\nAnswer: 5733\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.8 and -617620606.37.\nAnswer: -617620603.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.5 (b) -2 (c) -21 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 5*u**2 - 34*u**2 - 17*u**2 + 3*u to the form k*u + h + f*u**2 and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120547\/9 + 13395. What is the common denominator of -149\/6960 and l?\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9197, 18381, 27579, 36791, 46017, 55257?\nAnswer: 64511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 502813026 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7))**(-2\/21) assuming k is positive.\nAnswer: k**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -8, 4, 5 in descending order.\nAnswer: 6, 5, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55728 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 72 = 5*f - 5*s, 0 = 2*f - 4*s - 48. Suppose -v + 3 = 15. Let i = f + v. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105030 (base 6) to base 9.\nAnswer: 13150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*p**3 - 179*p**2 + 357*p**2 - 176*p**2 to the form s*p**2 + a*p**3 + r*p + y and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -118 + -22784?\nAnswer: -23013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -13846703 and -13846704 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -36, -132, -320, -630, -1092, -1736, -2592?\nAnswer: -3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3 - -2 - 0) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 140. Let c be (f\/96 - (-2)\/(-6))*4. Is (-1)\/(c\/306*-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/4)*u*u*u*u)\/u**(1\/6)*(u**(-5)\/u)\/u**(2\/19))**26 assuming u is positive.\nAnswer: u**(-4511\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qabbaddiaabuuqq. Give prob of sequence ubub.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmimzbccbsissimm. Give prob of picking 3 m and 1 s.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(152)\/(-2*sqrt(8))).\nAnswer: -sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8828235 greater than 8828191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 5*w - 14, 4*w + 7 = 5*t. Let b = 1 + t. Let u be 1 + -1 + (b - -2). Solve -u*r - 1 = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 4 + 9 + (6 - -6)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, k: 2}. What is prob of sequence kqkq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6236 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1481 + -1481. What is the third smallest value in 0.4, 37, b?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408897 divided by -136299.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*m = 95, 2*u - m - 130 = 3*m. Calculate the highest common divisor of u and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 151*x = -1110690. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-312)\/(-80)*(-5)\/12. Let w = 1.8 - 1.7. What is the third smallest value in w, p, 2\/13, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnny.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3415\/5464)\/(1*(-2)\/(-6)). Which is the third smallest value? (a) 0.17 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjpp when four letters picked without replacement from jjpppjjjjj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1784*v**2 - 891*v**2 - 889*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - u - 185 = 0, -2*i + 2*u + 41 = -59. Let m = i - 224\/5. Let p be -1*(2 + 8\/(-5)). Which is the third biggest value? (a) p (b) 0 (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(847) + -3 - (-1 + (sqrt(847) + sqrt(847) + 2)**2 + sqrt(847))) + -1.\nAnswer: -3396 - 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*j**3 + 19*j**2 + 320 wrt j?\nAnswer: 36*j**2 + 38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/13, 3, -0.3, -1 in increasing order.\nAnswer: -1, -0.3, 2\/13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-40))\/((-6)\/(-24)). Let i = 21 + -16. Suppose -t + 7 = i*n, -n + t = -2*n - 1. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1061 + 2104. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -4, -3 in decreasing order.\nAnswer: 2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -2. Let g(p) = -p**2 + 94*p - 448. Let l be g(89). Which is the biggest value? (a) m (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65726 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - -30 - (7 - (5 - 13))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**2 - 8. Let d be 15\/6*16\/20. Let u(p) = 11*p - 11*p + 4*p**d. What is u(m(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-225)\/(-20))\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.73353 + 6.73. Round k to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3185 + -3097. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -6*n + 14*n. Suppose 73*f + 40 = 78*f. Is f smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2674, 0 in decreasing order.\nAnswer: 2674, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2576 and 928165.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*a + 930*a**3 - 1857*a**3 + 924*a**3 + 578*a - 529*a.\nAnswer: -3*a**3 + 884*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53, 236, 541, 968?\n\"Answer: 61*z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*m - 6*m - 118*m - 94*m in the form t*m + q and give t.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 726 - 1827?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276 - 144. Let i = -391\/3 + x. Factor 8\/3*r - i - r**2.\nAnswer: -(r - 1)*(3*r - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {a: 1, f: 1, t: 1, y: 5, l: 2, n: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 7*h**2 + 7*h - 2. Let l be q(6). Suppose 3*k - l*y = 82, 2*y - 38 = -k - 2*y. Calculate the highest common factor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/691 (b) -2 (c) -16 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -831.\nAnswer: -16.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1362*w + 1198*w + 930*w + w - w - w + (-3 + 3 + w)*(-2 - 1 + 1) + 4*w - 4*w + w - 3*w + w + w to u + c*w and give c.\nAnswer: 3487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6628, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 501*m + 18519. Determine v(-37).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 799 = 5*n, -534 = -2*n + 5*w - 206. Does 34 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2063 divide 105002574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 344 - -6*(18\/4 + -9 + 3). Solve -20*f + v - 315 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzmz when four letters picked without replacement from yiznmzzz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -96. Let c = s + -43. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309914 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 329 - 338. Sort r, -6, -1\/3, 0.4 in ascending order.\nAnswer: r, -6, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10046*a**2 + 10046*a**2 + 43430*a**3.\nAnswer: 43430*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4995071 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**5 + 1530*l**4 - 40720*l**3 + 150630*l**2 + 860085*l = 0.\nAnswer: -3, 0, 9, 23, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*u + 20 = 778*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 21. Suppose 5*v + 2*i - 23 = 0, 0*v = -2*v + 4*i - h. Suppose 5*b - 40 = 3*l, v*l + 3*b = -0*l. Let n(t) = t**2 + 7*t + 6. What is n(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = -31*y - 1991. Let n = y + 617. What are the prime factors of n?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*m - 54*m - 420 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 13*m - 16. Suppose -z - 20 = 4*z. Let b be 40 + z*(-1)\/m. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2153*c + 357417. Give g(166).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7063?\nAnswer: 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-236)\/(-8) + -2 and -91\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 71\/8, 0.3.\nAnswer: 0.3, 4, 5, 71\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/3835 and -17\/531.\nAnswer: 34515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 50347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 48 = -36. Let b = f + 30. Solve -2 - b = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 2)*(26 + (-27373)\/1054)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47507 + -46?\nAnswer: 47461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, -1.1, -1\/2, 182, -1\/7, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5.484 + -17.479124743\nAnswer: -11.995124743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 - 884\/7. What is the second smallest value in -0.2, f, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53442 and 17814.\nAnswer: 53442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-69)\/6)*4\/(-11).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3*f*p + 2*d**3*p*u + 255*d*f*u + 2*d*p*u - 21*d*p - 2*f - 23 wrt u.\nAnswer: 2*d**3*p + 255*d*f + 2*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 6. Let w(p) = 304*p. Calculate w(z(f)).\nAnswer: -608*f + 1824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*l - 212*l - 6 = 0. Solve 2*m = 3*m - l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 93*c - 4095, -439 = -2*c + j - 354 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2 + 11549*k - 637390.\nAnswer: 4*k + 11549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2153 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) 3 (d) -2.8 (e) -4\/9 (f) 2877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.4. Let j = -0.3 - -0.3. Let c = j + p. Which is smaller: -2\/3 or c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m - 12. Let j = m + 8. What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -4, -0.42, -1 in increasing order.\nAnswer: -4, -1, -0.42, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -187662.07 to the nearest 1000.\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0 + 24*b**3 - 1 - 3*b**3. Suppose -3*u = -2*i - 7*u + 6, -3*u = 5*i - 8. Is 6 a factor of x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10007166 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 7*q**2 - q - 8. Suppose -v + 6 = v. Suppose v*c = -3 - 18. Determine t(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 3. Let t be l(-6). Suppose 0 = -4*a + 17 - t. Suppose -3*k + 41 = -a*q + 3*q, -4*k = 0. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 m when four letters picked without replacement from {m: 7, e: 6, q: 4}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5723*z + 2140. Let v be c(-3). Which is smaller: -15028 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t - 4. Let n(z) = -7*z - 9. Let c(d) = 5*k(d) - 3*n(d). Let u be c(-7). Solve -m + 5*m = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.3, -1, -162, 0.02 in ascending order.\nAnswer: -162, -1, -2\/13, 0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64973? (a) 4 (b) -0.2 (c) 2 (d) -5 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11314119?\nAnswer: 3, 37, 101929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.807 + -1.807. Which is the closest to 2? (a) -0.5 (b) 3\/4 (c) -2\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -245 + 265. Suppose -2*b = -3*p + b + 27, p - 3*b = 5. What is the remainder when z is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426881526.\nAnswer: 2, 191, 6353093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1682 = 5*m, 0*s + 3*s - 1350 = -4*m. Suppose 284 + m = r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294) - (sqrt(294)*1 - sqrt(294)))\/(-2*(sqrt(48) + sqrt(3))) + (1*sqrt(32) - sqrt(32))\/(sqrt(324) - (sqrt(324) - 2*sqrt(324))).\nAnswer: -7*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 5106?\nAnswer: -5116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112221 (base 6) to base 2.\nAnswer: 10010101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 6*j - 3. Let f be x(3). Let z(d) = -2 + 0 - d + 8. Let y be z(f). Solve y = -3*o + 11 - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.95 + -0.05. Let x(d) = -d**2 + 2. Let z be x(2). Let q be (z - -6)\/(15 + -1). Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 114?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3\/16)\/(48\/(-5424)) + 66\/352\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 (base 12) in base 3?\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p + 19 = 5*z - 51*p, -11 = -4*z + p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 147049620 divided by -12254135\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3306 and -0.3?\nAnswer: 991.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1423 + 1421 + 1418 - 912*q**3 - 4260 + 3*q**2.\nAnswer: -912*q**3 + 3*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 1\/5, 5, -2\/3 in descending order.\nAnswer: 5, 1, 1\/5, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 5018027?\nAnswer: 5018025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 231102 (base 4) to base 3\nAnswer: 10222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p + 216 = 73*p - 39*p for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.60209 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(10\/7))\/z**(-7) assuming z is positive.\nAnswer: z**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4176 by 1392.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 135 = 0. Let x = r - 672\/5. Suppose 0 = w + 2*d - 7, -4*w - 38*d = -36*d - 16. What is the nearest to -1 in w, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*b*i**2*l - 30*b*i**2 + 7*b*i - 9*b*l + 3*b - 38*i**2 + 226*l wrt i.\nAnswer: -164*b*l - 60*b - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -2*o, 3*o + 0*h + 2 = 2*h. Suppose -o*k + 3257 = 5*f - 17177, -3*k + 30633 = 3*f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 0.69 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, -3*o - 3 = -320*y + 315*y. Let z(n) = 6*n + 14. Let v(r) = -r - 3. Let h(t) = 14*v(t) + 3*z(t). Give h(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12736099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/66*(48 + -42)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258885382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111000011000110101100 (base 2) to base 13.\nAnswer: -18bc8aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 5849963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let g be 3 - 6\/(-8)*(-32)\/24. Let m be (g - 36\/45)\/(4\/30). Solve -5*c = -2*t - 15, -5*c + m + 16 = p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3591388ml?\nAnswer: 0.0003591388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1484)\/378*8073\/598.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, -1, -5\/3, 81329?\nAnswer: 81329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-6))\/((-4)\/((-32)\/(-6))). Suppose -4*m + 706 + 2502 = 5*k, -g*m - 4*k = -1604. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1500.9 - -1502. Which is the nearest to -1? (a) k (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 15 - (2 + -2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b - 314 - 359 + 673.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2 - 3\/6. Let c = 17 - t. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 15 = 11, 3*x - 3*i = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9154 and 22983923?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 10:45 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 2. Let n(b) = -81*b - 3. Calculate -n(k) + 3*t(k).\nAnswer: 78*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139456.201 rounded to the nearest one thousand?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76096 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**2 - 4*y**2 + 4*y**2)*(0 + 1 + 0) in the form j + i*y**2 + z*y and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 21 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 3. Suppose 5*h = -0*h + 70. Suppose -7*d + h = -0*d. Calculate the least common multiple of y(3) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 255, 377, 341, 141, -229?\n\"Answer: -k**3 - 73*k**2 + 348*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3080631 by 8.\nAnswer: 3080631\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1991*b + 1133*b + 335472 = -14836*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*x = -0*m - 19, -4*x - 10 = m. Solve 0*l = m*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10001010?\nAnswer: -10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31364, 17, 4\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009733 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**2*x**3 - 10639*d**2 - 133*d*x - 63822099*x**3 wrt x?\nAnswer: -48*d**2*x - 382932594*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*f*r**3 + 2414431*f*r + 352482123*r**3 wrt f?\nAnswer: -14*r**3 + 2414431*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttthh. What is prob of picking 2 t and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by 1107984.\nAnswer: -95\/1107984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 394 + 494 = -5*h, 3*n + 8*h - 55 = 19 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(4*sqrt(8)) + -6*(sqrt(7) - sqrt(175)).\nAnswer: 97*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s + 63 = 0. Let b(z) = 5*z - 57. Let j be b(19). Let y = 46 - j. What is the remainder when s is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 7*v**2 + 6*v - 6. Let u be a(4). Let p be 17\/(-2)*(2 - 0). Let j = -12 - p. Solve 0 = -i - 3*y + 4, 0*y + 20 = j*i + u*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-24)*-12 + 1 + -3)\/(-3). Let k(m) be the third derivative of 0*m + h + 3*m**2 - 2\/3*m**3 + 1\/24*m**4. Give k(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14433041*w**3 - 6167*w**2 - 213*w wrt w?\nAnswer: 86598246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(1 - u - 1 - 12*u + 10*u + 17*u - 5*u - 4 + 4 + (-2*u - u + 4*u)*(0 + 4 - 3) + 16*u - 2*u + u)*(u + 0*u + u).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/10*80\/(-12))\/(6\/(-3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11774 + -11773.8. What is the closest to -5 in y, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 + x**2 + 2*x + 1. Let w be (-4)\/10*(-15)\/6. Let z = w - 2. Let q be a(z). Solve 4*u = -2*g + 3 - 19, -3*u = -q*g + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 2 - 1*4. What is the nearest to 3 in l, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 23*l + 72. Let y be x(-3). Suppose -36 = 5*t - 6. Is 7 a factor of 4\/y + (-172)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (190\/(-57))\/((-6)\/9). Suppose 0 = r - t*a - 21, 2*r = -r + 4*a + 19. Let n(v) = -19*v - 1. What is n(r)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-126)\/(-168))\/(6\/80). Let l be (-33)\/(-9) + 2\/6. Calculate the greatest common factor of l and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-6)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 258*l**4 + 6*l - 251 wrt l.\nAnswer: 3096*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*i - 29, -11*r - 11*r = 9*r - 26*r - i + 193 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1968975 - o - o - 1968975.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -31*w + 3. Let l(x) = 47*x - 5. Let y(k) = -5*l(k) - 8*q(k). Does 23 divide y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.017702.\nAnswer: -0.0035404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -17, -52, -101, -164, -241, -332?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 22. Let a = 0 + 0. Let w be u(a). Suppose -3*d - 4 = 3*f + 5, -2*f = -5*d - w. Which is smaller: f or -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Let w(h) = 2*h**2 + 5*h**2 - z*h**2 + 3*h. Let c be 57\/18 + -1 - 79\/474. Let i(u) = 5*u**2 + 4*u. Calculate c*i(l) - 3*w(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 131. Suppose -2*p + 2*q - 4*q + 216 = 0, -5*p + 2*q + 554 = 0. What is the greatest common divisor of p and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 18 - (0 - -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6516, -14319, -27316, -45501, -68868, -97411?\n\"Answer: f**3 - 2603*f**2 - f - 3913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 1.53 (c) 1\/2 (d) 888\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 + 109.2. What is the closest to -5 in 1, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Suppose 305 = -5*d + s*l, l = -0*l + 3. Let x = -25 - d. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145969 or -1?\nAnswer: 145969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 + 132. Solve 4*a = -3*l - l - 12, p = a + 5*l - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 0.06. Let k = n + 2.99. Which is the closest to 0? (a) 0 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s)\/(s\/(s*s**(-6\/7))) assuming s is positive.\nAnswer: s**(-71\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 36) + -21 + -6 + 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -8*p - 9. Let q be 3*(24\/(-6) + p). Let l = -0.03 + -3.97. What is the third smallest value in -2, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17645, 43529, 69411, 95291?\n\"Answer: -d**2 + 25887*d - 8241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q. Let u(x) = 88*x**2 + 0 + 0 - 17*x**2 + 3*x - 39*x**2. What is z(u(i))?\nAnswer: 160*i**2 + 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820*m = 815*m + 320. Calculate the highest common divisor of m and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.61 - 22. Let i = v + -1.48. What is i rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 y when four letters picked without replacement from {y: 18, u: 1}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**3 - 51077 + 51077 - 1102*w**3 + 8*w.\nAnswer: -1121*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1882113 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 19 - 20 = 0. Suppose 3*p - 1965 = -4*o, -8*p = -2*o - a*p + 963. What are the prime factors of o?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2289 = 2*x + 3*t, -4*x + 4577 = -4*t + 9*t. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 32*z + 1200 = 0. Let l be (0 - -1) + -72297 + 46 + z. What is l rounded to the nearest 1000?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/3)\/((-18)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s**3 - s**2 - s - 6. Let t(j) = -6*j**3 - j**2 - j - 5. Let a be (0 + 4)\/(26\/(-39)). Let i be 2 - (3 + 6\/(-1)). Calculate a*t(h) + i*b(h).\nAnswer: h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29656.7um in centimeters?\nAnswer: 2.96567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.734 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 + 2)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19040073.\nAnswer: 3, 13, 488207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2054 and 26.\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 + 3631*d + 505830 = 0 for d.\nAnswer: -130, 3891\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/64 - (-2901)\/8. Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88945\/5401 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -809 + 10941. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*72\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 785\/8. Let x(i) = -3*i**3 - 16*i**2 - 5*i + 4. Let b be x(-5). What is the second biggest value in b, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213200 - -10?\nAnswer: -213130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = 55 - 97 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39098 is divided by 215.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 12. Let y = 1 - i. Is 8 a factor of (y\/4)\/(11\/(-440))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 1.9. Let j = r + 2. Let g = 0.1 + j. Is g less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + (3 - -5) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2. Let k(b) = -33*b. Give k(a(y)).\nAnswer: 165*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t. Let l(q) = q**2 + 4*q - 1. Suppose k = 2, 4*v = 2*v - 4*k. Let x be l(v). Which is the nearest to t? (a) -0.4 (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 3)\/(1\/(-61)). Let d = 304\/5 + l. Which is the second biggest value? (a) 0.4 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/19, 0.1, 170, 0.79 in ascending order.\nAnswer: -7\/19, 0.1, 0.79, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20088.216 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 498 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554632 is divided by 7543?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2130, -4262, -6394, -8526, -10658?\n\"Answer: -2132*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 1737*h + 1740.\nAnswer: -3*(h - 580)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172786 is divided by 155.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 438c16 + 19?\nAnswer: 438c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1204677 and 10368.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5187 and 57\/148.\nAnswer: 767676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/(v**(-4)\/v*v))\/(v**(-3)*v**(-5)) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2 + 33*i**2 + 6*i**2 - 40*i**2 + 30*i as o + l*i + s*i**2 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91291269 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13920 and 1652640?\nAnswer: 47926560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2174, 0.5, 2, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/9 - 20*x**4\/3 - 628*x**3\/9 + 2720*x**2\/3 - 18496*x\/9 = 0. What is x?\nAnswer: -34, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = -10. Let q(o) = 51*o**2 + 3*o + 2. Let l be q(s). Suppose -3*j = -7*j - l. What is j rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (1 - 14) + 0 + -565 + 619.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t = -10 - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7777 divided by -1?\nAnswer: 7777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 133890 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 next term in -3335, -6654, -9973, -13292, -16611, -19930?\nAnswer: -23249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/3 - -2)*3. Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -77734, -77736, -77738, -77740?\n\"Answer: -2*q - 77732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 37*n**2 - 819*n + 40782. Let u(w) = 20*w**2 - 410*w + 20390. Let o(x) = 6*m(x) - 11*u(x). Solve o(q) = 0.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 773 + -547. Let m = -20 + x. Let h = -207.21 + m. Round h to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8 + (-253)\/2. Let d be 8\/t - (-4)\/14. Let h = 1.4397 - -0.5603. What is the closest to 1\/3 in h, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 209\/22)*-2*(2 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djs when three letters picked without replacement from dsjssddjddssjdssj.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295328 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.3 and 34.4.\nAnswer: 32.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 - 1.7. Let n = 0.2 + q. Let v = -2.1 + 2.6. What is the biggest value in 1, v, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 50, -7.\nAnswer: -7, -5, 6, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**46\/(u**(2\/9)*u*u**(-3))*(u**(-1)*u)\/(u\/(u*u*(u\/u**(-3\/5))\/u*u))*(u**(-5)*u)\/(u\/(u**4*u*u)) assuming u is positive.\nAnswer: u**(2312\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112527 is divided by 97.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(4\/15))\/((q**(-2\/29)*q)\/q) assuming q is positive.\nAnswer: q**(581\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/14 - 75\/(-35). Let d = 19 - -29. Suppose 5*u - 2*h - 305 = h, -u + d = j*h. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f*f*f*f\/(f*f**1)))*f)\/((f\/f**(-2))\/f*f))\/(f**(2\/3)*f)**8)**(4\/17) assuming f is positive.\nAnswer: f**(-160\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and 296710615.\nAnswer: 296710631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 15. Let t = -13 - j. Sort t, -2\/3, -5 in descending order.\nAnswer: t, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**4\/12 + 127*p**2\/2 - 3*p. Is t(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 15) to base 12\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 145*i - 106751*i**3 - 2*i**4 - 144*i + 107008*i**3 as y*i**2 + l + g*i + j*i**4 + q*i**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 225360 divided by 45072?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 497205451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4*(-2511)\/(-15876)*49.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240205 + -42?\nAnswer: -240251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 473370 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -1411043?\nAnswer: -1411033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.8 + 15. Sort -3, t, 4 in decreasing order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.857 + -460.957. Let r = l - -410.16. Let s = r + 42. Which is the biggest value? (a) 1\/6 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 60, -1\/4, 2.\nAnswer: -1\/4, 3\/8, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*-1*-4 + sqrt(1100) + (sqrt(1100)*1 - sqrt(1100))**2*-1 + sqrt(1100).\nAnswer: 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*p = 8*p - 11032, -p - 11027 = -c. Suppose 0 = 22*b + 622 - c. What is the highest common factor of b and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 6450 = -390. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q. Let k(o) = 3*o**2 + 21*o + 2*o**2 - 21*o. Determine z(k(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 5*c**4\/24 + c**2\/2 - 2. Let j(f) be the second derivative of h(f). Let q(x) = -11 + 6 + 5 - x. Determine q(j(g)).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.032218 and 537875?\nAnswer: 537874.967782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 310.674488 to two dps.\nAnswer: 310.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1829 - (45\/55 + (-4)\/(-22)). Let o = -293 - r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1037 - -1052. Solve 0 = z*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 10) in base 9?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -2) + (21 - 24).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd89 - 8b?\nAnswer: dcdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*r**3*v**2 + 4*r**3*v - 2*r**2*v**4 - 43*r*v + 1 wrt v.\nAnswer: -92*r**3 - 24*r**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1370 - -1374. Solve 4*f = -b*y - 4, 2*f = -6*y + 7*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -2342321203?\nAnswer: 2342321214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -194 and 0.29918?\nAnswer: -58.04092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*j - 1252 + 1480 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*s - 3*h + 34, 0 = -2*s + 3*h - 14. Let q be (-2)\/(-5) + 4\/s. Solve -p + 0 + 9 = u, q = 2*u - 4*p + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15881*z + 12356 - 12356.\nAnswer: 15881*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 145680511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bc - -19?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 756906.2 micrograms?\nAnswer: 756.9062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9515 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -89. Let q(l) = 3*l**2 + 8*l + 5. What is the hundreds digit of q(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83606.7 months in centuries?\nAnswer: 69.67225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23272, -46761, -70250, -93739, -117228, -140717?\nAnswer: -164206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -232.265101 rounded to one dp?\nAnswer: -232.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 622 - 618.09. Let m = g - -0.09. Sort 0.3, -3, m.\nAnswer: -3, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 59*z**2 + 133*z**2 + 90*z**2 + 6 + 0*z to the form a*z + g + w*z**2 and give w.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**7\/105 + 7*a**6\/120 - 37*a**4\/12 - 77*a**3\/3 - 3*a**2 + 11*a + 30. Find the first derivative of h(u) wrt u.\nAnswer: 8*u**3 + 21*u**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*p**2 + 3)*(635*p**2 + 878*p**2 - 1250*p**2) to f*p**2 + o + b*p + k*p**4 + w*p**3 and give k.\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 40 + -11 + 7 + -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -50.6. What is the nearest to 0 in -44\/5, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 78696*f - 78692*f - 68, 2*f = 4*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -10, 2*m + 3*m + 179 = -2*z. Let t = -21 - m. What is the remainder when 51 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/9863651 and -99\/302624.\nAnswer: 315636832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-10))\/((-54)\/(-144)). Which is the nearest to 0.2? (a) 0.01 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33407266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5147482, -10294961, -15442440?\nAnswer: -20589919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1197572, 2395130, 3592690, 4790252, 5987816?\nAnswer: 7185382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*l**2 - 326\/3*l + 332.\nAnswer: -2*(l - 3)*(l + 166)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 76\/9, 4, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7996 is divided by 1234?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -a69 (base 12) to base 15\nAnswer: -6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1700.45828\nAnswer: -340.091656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 3)*(-2*v + 2*v + 2*v) to j*v + r and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*b - 38, -2*o + 110 = 2*o + 2*b. What is the highest common divisor of o and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/213 and 61\/30.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*w - 18, 0 = -3*w - 0*l - 2*l + 10. Solve 0*s = -5*z - w*s + 20, -4 = -z - s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 275*q**3 - 5*q**2 + 275*q.\nAnswer: 5*q*(q - 55)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = 8*g. Which is smaller: 9\/190 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0\/o)**(-27)\/(o\/o**(-2\/7)*o*o**(9\/2)*o*o)*(o**0)**(13\/3)\/((o*o**2)\/o*o)**(24\/5) assuming o is positive.\nAnswer: o**(-1623\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + 46. Calculate t(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 48 - 577 = -3*x, 4 = -4*g. Suppose -84 - 56 = -4*p. Calculate the highest common divisor of x and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 4*l**2 + 2*l. Let m be z(2). Suppose -16 + m = 4*r. Do 1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734467717 a multiple of 899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight ninths of a day?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 630\/(-462)*((-143)\/(-13))\/(-165)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 40 = 4*z, 4*z + 2*y + 45 - 133 = 0. What is the greatest common factor of z and 2172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 1101?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15303 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 5*j**2 + j + 7. Let k be f(-5). Let l be -1*17\/k*-2. Let o = l - 12. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343128829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3090 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 8\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932676883 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/20 and -47\/1093890.\nAnswer: 2187780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -25, 1.17?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + n + 1677 = 0. Let o = -128 - n. Sort o, -5, 3.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (3 + -6)*-1. Let t(p) = -p**3 + 6*p**2 + 12*p - 4. Is t(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/195 and -77\/5962554.\nAnswer: 29812770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m - 2. Let j be s(-1). Which is the second biggest value? (a) j (b) 2\/7 (c) -1\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189803 to the power of 1\/2, to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 116*p**3 + 8*p**2 + 1178*p + 8. Let q(c) = 39*c**3 + 3*c**2 + 392*c + 3. Let t(x) = 3*a(x) - 8*q(x). What is the second derivative of t(w) wrt w?\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1) + -4*83\/(-2). Let x = a - 160. What is the highest common divisor of 3 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxx when four letters picked without replacement from {x: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 28 = -0. Suppose 2*o = -n + 3. Let t be 2\/o*(14 - 26). Solve v + 4*v - 23 = 2*p, -2*p - 2*v = -t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 19 + 9. Suppose 882 = 11*r - f*r. Let m = 102 - r. Solve 3*s - m = 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(7) + sqrt(2) + 0 - -1*sqrt(128))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*g**3 + 45*g**3 - 84*g**5)*(2 + 3 - 3).\nAnswer: -168*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 + 173. Let u(m) = m**2 + 2*m - 4. Calculate u(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/5)\/(-4)*(-35)\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2) - 63\/6. Let v be (-138)\/l + (-4)\/(-6). Solve -3*w - 32 = -4*j, -3*w + 2*w + v = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000101101111010001101 (base 2) to base 14\nAnswer: 436b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 913185551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a + 4. Let d be m(-3). Suppose d = 5*x + 8. Solve -4*v + 23 = w + x, 3*v - 5*w + 3 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a**2 - a - 1. Let o(u) = 6*u**3 + 5*u**2 - 10*u - 4. What is o(c) - 5*s(c)?\nAnswer: c**3 - 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from ntttttn.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 - 44*j**2 + 22*j + 106. Let v be x(14). Solve v*y + 31 = -13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-902)\/(-54120))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:35 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.9 - 177.\nAnswer: -155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.5 + -6.5. Let r = -41.028 - b. Round r to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-2\/9)\/o)\/o)\/o)\/(o**(-13)\/o))**(-2\/151) assuming o is positive.\nAnswer: o**(-194\/1359)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31.6308 and 1.1.\nAnswer: -34.79388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -285, -3, 11 in ascending order.\nAnswer: -285, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, e: 1, y: 1, o: 4}. Give prob of picking 1 p and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 524*k**2 - 114*k**2 - 129*k**2 + 0 - 157*k**2.\nAnswer: 124*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**3 - 43870*c**2 + c + 1343415?\nAnswer: 3*c**2 - 87740*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 3*d + 7 + 10, -d - 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1231*q - 108 = 620*q + 620*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + -7 - 6) + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**2 - 5*w - 12698. Let a(u) = 2*u**2. Give r(a(b)).\nAnswer: -24*b**4 - 10*b**2 - 12698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45cb2 + -19?\nAnswer: 45c97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7073 is divided by 1766.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3\/7 (c) -5.34 (d) -2 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 + 1298 = 12*y. Let w be (-104)\/3 + (-30)\/y. Let f(o) = 145*o**2. Let i(v) = -12*v**2. Let d(g) = w*i(g) - 3*f(g). Let t(h) = 2*h. Give d(t(z)).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yblbyzb. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 322562*m**3 + 45058*m wrt m?\nAnswer: 1935372*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 12 = -23*h. Do 3 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1726410 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55139*s + 55139*s + 5*s**2 - 2*s**4 - 48*s**3 - 2*s**2 - s**4 + 2*s**2 + (0*s**4 + s**4 - 2*s**4)*(-6 + 3 + 2) + 0*s**4 - 2*s**4 + 3*s**4.\nAnswer: -s**4 - 48*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/150)\/((-13)\/52 - 5\/(-24))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2673069 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from uthhgutgtkxtthu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/9))\/b**(3\/2) assuming b is positive.\nAnswer: b**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - 1096\/(-14). Let q = 163 - k. What is the first derivative of -q + 163 - 15*r**4 - 3*r**4 - 89 wrt r?\nAnswer: -72*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56585.3 and 77247537.\nAnswer: 77190951.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3323*a**3 + 21*a**2 - a + 3. Is x(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3\/2, -4, -1\/11, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003619406 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = -5*f, -f - 1 + 2 = -3*i. Let k(a) = a**3 - 13*a**2 + a - 11. Let d be k(13). Let w = d - i. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3)*((-1 + 3 + 0)*(5 - 13*q - 5) + 0*q + 2*q - 3*q + (0 - 1 - 1)*(-1 + 1 + 2*q) + 0*q + q - 2*q).\nAnswer: -128*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682951 is divided by 692.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278974037.\nAnswer: 97, 2876021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 968\/(-440) + (0 - (-4)\/(-30)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -21.98. Let v = k + -2. Let r = v - 19.99952. Round r to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -603*c + 579*c - 168 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 42 = -3. Let f = 2 - 4. Let n be ((-2)\/((-2)\/f))\/(-7). What is the nearest to k in 2\/5, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3\/3 - 3*h**2\/2 + 8*h - 9. Determine p(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 1638*d**2 + 214865*d\/2 + 221421.\nAnswer: (d - 3209)*(d - 69)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -96244144 greater than -96244143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/3 + 40*l**4\/3 + 770*l**3\/3 - 40*l**2\/3 - 256*l = 0. Calculate l.\nAnswer: -12, -1, 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 times 0.02?\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193562407?\nAnswer: 1907, 101501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263 + -55. Suppose -3*y + h = 5*w - 3*w, 0 = -4*y + 4*w + 284. Let m = y + 74. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 + 3*w. Let o(i) = -65*i**2 + 40*i. Give 3*o(m) - 40*z(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 112 - 7*z**3)*(0 + 1 + 1) + (-1 - z + 1)*(2*z**2 + 3*z**2 - 3*z**2) - z**3 + 2*z**2 - 2*z**2.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 9*y**2 - 2*y + 5. Let x be z(-4). Which is the closest to 3? (a) x (b) 2 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5427901?\nAnswer: 19, 29, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.33 and 1430.\nAnswer: 26211.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -241*m - 85. What are the prime factors of x(-3)?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.48 times 0.5\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r. Suppose 4*l + 63 = -17. Let j = 20 + l. Let p(f) = j*f - 5*f + 2*f. Determine p(w(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49 (base 11) to base 10\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/33 and -17\/702.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(-9)*s*s*s**(-1\/12)*s*s*s*s*s\/(((s*s*(s*s**3)\/s*s)\/s)\/s)*s)\/(((s**(-6\/7)\/s*s)\/(((s*s**1)\/s)\/s))\/(s**(-2)\/(s\/s**3))) assuming s is positive.\nAnswer: s**(1913\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 64 - 90 - -61.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-30)*1*-1. Which is the nearest to -1? (a) j (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(352)*-6 + sqrt(352)))\/(1*sqrt(396)) + 2)**2.\nAnswer: -160*sqrt(2)\/3 + 3236\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i - 134. What is the smallest common multiple of 44 and s(14)?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i - 3*w, 5*w = -i + 2*i + 11. Suppose 141 + 35 = i*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -k + 21, -j + 4*j - 14 = -2*k. Let z = 0.8 + -0.3. Let l = -2.5 + z. Which is the nearest to 2\/5? (a) -3\/8 (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqdx when four letters picked without replacement from {i: 3, s: 1, p: 4, q: 1, d: 1, x: 6}?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 33*w**2 + 734*w + 9384. What is q(51)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3476)\/(-6162))\/((-1947)\/(-59))\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, u: 1, s: 6, y: 1, l: 2, f: 2}. Give prob of sequence ull.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 1, h: 1, v: 1, o: 3, s: 3}. Give prob of picking 1 o and 1 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -87. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1904*o + 477914. Let m be p(-251). Solve -51\/5 - m*a + 1\/5*a**2 = 0.\nAnswer: -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3787*b - 2256039 - 1557*b + 2256039 as p + t*b and give t.\nAnswer: -5344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398588, -396938, -395288?\nAnswer: -393638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -366, -12, 2, 121 in increasing order.\nAnswer: -366, -12, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -17312 and -17319 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/108 and 71\/66.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*b + 24, 3*b = -4*g - 0*b. Let y = 3 + -5. Let i = g - y. What is the nearest to 0 in -2, i, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/92407 or 1\/2?\nAnswer: 2\/92407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 434 + -375. Find the third derivative of 110*x**4 + a*x**4 + 105*x**2 - 18*x**4 + 24*x**4 wrt x.\nAnswer: 4200*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -5\/2*s**2 + 44 + s. Calculate w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28439 by -2234.\nAnswer: 28439\/2234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c - 2. What is the highest common divisor of c and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/50 - k**4\/30 + 6*k. Let g(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(612)*3)**2 + 1*(sqrt(612) - 3*sqrt(612)))*6.\nAnswer: -72*sqrt(17) + 33048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6134240127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 6*w**2 + 12*w + 18. Give d(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -488 (base 14) to base 16.\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15164803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10894, 21790, 32684, 43576, 54466?\n\"Answer: -f**2 + 10899*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 390 = -32*x - 2*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) 1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6792*f - 3396*f - 3412*f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.5, -9, 32?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -91*v + 222. Let i(k) = 258*k - 667. Calculate -6*i(h) - 17*u(h).\nAnswer: -h + 228","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - r**3 - r**3 - 5*r + 5*r - 2*r**3 + (3*r**2 - r**2 - r**2)*(0*r - r - r) - 5*r**3 + 15*r**2 - 15*r**2 + 3 - 2*r**3 - 4 + 3*r**3.\nAnswer: -12*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -58*y**3 + 3*y**2 + 10*y + 6. Calculate the remainder when 454 is divided by l(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**3 + 85*r**2 - 290*r + 200 = 0.\nAnswer: -20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3))**(-18)\/(r**3)**(-10\/11) assuming r is positive.\nAnswer: r**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, b: 4, q: 4, h: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-6)\/t)\/t*t**(-6\/11)*t)\/((t\/t**3)\/t**(2\/11)) assuming t is positive.\nAnswer: t**(-37\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1788)\/(-75) - 18336\/764.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1240220131 (base 5) to base 16\nAnswer: 2e9b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 24*c**2 + 22*c + 33. Let k be s(23). Suppose -6 - 84 = -3*w. Calculate the greatest common divisor of w and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 22. Let w = y + -15. Let q(f) be the third derivative of -f**4\/24 - f**3\/3 - 26*f**2. Give q(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-6 + 4)\/(-4 + 3) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2235 and 15930?\nAnswer: 2373570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 6*l - 3. Let v be p(-6). Let u = -2831.1 - -2831. Which is the third smallest value? (a) v (b) 0.1 (c) u (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:07 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38601.29 years to decades.\nAnswer: 3860.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 2*q**2 - 40*q + 128. Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4227*t + 5 - 2112*t - 5 - 2113*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12189 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 114067173?\nAnswer: -114067169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*h - 8 = -2, -5*h - 15 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -39.1. Let z = -0.2 + 0.5. Let k = z - f. What is k rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 0 + 3\/2*p**2 + 3\/2*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 132 = 2*n - 159, -9 = -3*r - 3*n for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3891255 and -13\/90?\nAnswer: 23347530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 - i + 90. Let g be a(0). Solve 6*m = -102 + g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122540.6 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 7. Let w = 435 - 426.065. Let u = w - o. What is u rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2129 - 28\nAnswer: -28.2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3478*(-175)\/(-32900))\/((-1)\/2*-1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3364 by 311.\nAnswer: -3364\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 3*i + 2. Let l be z(-3). Let n be 54\/4*(l - -2). Suppose -m + 36 = 4*w - 0*w, 4*m + 4*w = 144. What is the highest common factor of m and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-8)\/840*-21). Let w(l) be the third derivative of -1\/160*l**x + 0*l + 1\/16*l**4 - 1\/4*l**3 + 0 - 11*l**2. Let w(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 107.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -911.98 minus 1687?\nAnswer: -2598.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s + 13*s + 2*s**2 + (-4*s + 3*s - s)*(-s + 4*s - 4*s) + 4*s**2 + 0*s**2 - 3*s**2 as r*s**2 + t + p*s and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/3 + -4\/3. Which is the closest to v? (a) -3 (b) 2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137760 to the nearest 1000.\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 1, f: 2, k: 2, w: 1, h: 2}. Give prob of picking 1 h, 2 f, and 1 u.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5530*p**4 - 2*p**2 - 34*p + 11323. Let y(j) = -j**4 - j**2 - 17*j - 1. Let v(z) = n(z) - 2*y(z). What is the derivative of v(a) wrt a?\nAnswer: -22112*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 4*o + 37, -32*c = -30*c + o + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069*u + 224 - 91 - 64 - 69.\nAnswer: 1069*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152985 is divided by 38244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 1, x: 1, s: 1, l: 1, b: 2}. Give prob of picking 1 h, 1 s, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 3307534 + 2*v - 3307534.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) 0 (c) -21590 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 1)*(a - a - 2*a**2) - 6*a**2 + 16 - 6*a**2 - 18 to b*a + n*a**2 + i and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03769 + 5.03769. Put -2\/15, -0.07, 5\/3, r, 0.7 in decreasing order.\nAnswer: r, 5\/3, 0.7, -0.07, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 8*d**2 - 12*d + 4. What is the remainder when x(5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 36 = w. Is 99120\/324 - w\/(-81) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 8*m - 23. Let g(z) = z**2 - z. Give b(h) - 6*g(h).\nAnswer: -h**2 - 2*h - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 4 + 2 - 6.\nAnswer: h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -5 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 65*a + 73. What is the remainder when b(34) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1810, 1800, 1790?\n\"Answer: -10*v + 1820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + o**2 + 2*o + 1. Let s be x(-1). Solve -3*n + s + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721730 to the power of 1\/2, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17136 and 196.\nAnswer: 119952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*i - 34*i - 133*i - 3 + 3 + i + (0*i + 0*i - 2*i)*(-1 + 2 + 1) - 3 + 3 + i as n*i + m and give n.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:50 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 8*x**2 + x - 11. Let o be j(-8). Let z = o - -37. Suppose -3*d + 6*d = z. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + 7 + (3 - 8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 4}. What is prob of sequence cc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2510 = 4*r - 2482. Sort 15, 3, r in ascending order.\nAnswer: r, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 36. Suppose g*b - 20 = -5*h, 2*b + 2*h = -h + 7. Solve 0 = -5*o - 4*u + 9, -b*o + 0*o + 3*u + 37 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11702527.3416716928 - -51223027387.6583244172. Let m = d - 51234729267. Let w = 648 - m. What is w rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(165) - (sqrt(165) - sqrt(165)*-1))\/sqrt(5))\/((sqrt(121)*5)\/sqrt(11)))**2.\nAnswer: 4*sqrt(3)\/5 + 103\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 321.\nAnswer: -4\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 59*(-15)\/10*(-4 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 2*l**2 - l. Let u(n) = 2*n**3 - 3*n**2 - n. Let x(s) = -2*u(s) + 3*y(s). Let h be x(2). Let q = h + -4. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmj when three letters picked without replacement from jmddddjmjjj?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066144421 rounded to four dps?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/19 or -275.159?\nAnswer: -275.159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 18 = -0*g - 2*g - 0*g, -6 = 4*g + v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 25\/2*t + 9\/8*t**4 - 5\/4*t**2 - 7\/2*t**3 + 23. Solve g(c) = 0 for c.\nAnswer: -1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 = 181*s - 1963 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 737.5175 millilitres in litres?\nAnswer: 0.7375175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-18))**(2\/61)\/((f**(-2\/67)*f)\/f*f**(2\/35)))**(-27) assuming f is positive.\nAnswer: f**(2258118\/143045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q + 10. Suppose 0 = q*s - 9, 0*s - 27 = -f - 2*s. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 4. Let a be u(0). Let z(o) = -24*o**2 - 4*o + 23*o**2 + 3*o + 9 + 4*o. Let s be z(a). Solve -s*n + 3*m = 6*m - 14, -5*m + 6 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/2137 + 83381\/40603. Calculate the common denominator of b and -24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 2, i: 12, g: 1, m: 1, k: 1}. Give prob of picking 1 o and 1 m.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10\/4) + (720\/(-32) - 19).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-633 + 11). Let f = t - 135. Let h = -59 + f. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 16*z = 5928. Let q be (2\/5 + z\/(-30))*5. Let j = -45 + q. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1092*z. Let x(s) = -104*s. Calculate -5*t(w) + 52*x(w).\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 4, i: 1, o: 2}. Give prob of sequence yyr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -123445?\nAnswer: 123454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*g**3*v + 195*g**3 - 2*g**2*v - 9683*g**2 - 2*g wrt g.\nAnswer: -492*v + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 235 + 140 = 0. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 31*z - 276. What is the highest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -4\/5 (b) -2\/5 (c) 9 (d) -1\/7 (e) -0.02 (f) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30)*-1)\/((-1002)\/(-7515))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231130 + -1011?\nAnswer: -232201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -5\/12*h**3 + 1\/120*h**5 + h**2 + 0 - 1\/12*h**4 - 22*h. Solve f(y) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10135931*h**3 + 4274685*h**2 + 2*h.\nAnswer: 60815586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10)*(-25)\/(-20).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -3. Suppose 2*v - 110*l + 107*l = 1, 0 = 3*v - 2*l + 6. Calculate the remainder when -1*(-2)\/(i\/332*v) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 0, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 8 = -4*d, -2*d = -3*l + 149. Suppose -2*s = -3*w + l, w - 15 = 5*s + 15. Calculate the remainder when 88 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*b**2*m - 305*b**2*w**3 + 7*b**2 - 154*b*m*w**3 + 6*b*m + 184*b*w**3 wrt b.\nAnswer: -170*m - 610*w**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4)*(-3 + 3))\/1. Suppose -3 = -11*s + 8*s. Let o = -3 - -6. Put s, o, t in descending order.\nAnswer: o, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 54 - 18. Solve 0 = -z - n*c - 0 + 25, 3*z - 10 = c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 34979.957?\nAnswer: -34983.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/151 - -622\/1359. Let j = 78\/43 - 100\/387. Determine i, given that -j*i**4 + 0 + 0*i**2 + 0*i + u*i**3 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let c = -4 - -9. Suppose -16 = -6*f + c*f. Suppose 4*d = -12 - f. What is j(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 5*i**2 + 27*i - 24. Determine t(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*b + 17 = 0, f - 3 = 2*b - 1. Let i be 9\/f + (-8)\/(128\/(-6)). Factor 2*k**2 + 0 + 0*k + i*k**3 - 1\/2*k**4.\nAnswer: -k**2*(k - 4)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i - 240 = 99*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 272885*m**2. Let n(a) = 22*a**2. Calculate n(z(b)).\nAnswer: 1638256910950*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41083.270565856 - -0.762360144. Let b = i - 41084. Let n = -0.033 + b. What is n rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j - 23. Let r = 12 - 16. Let v(u) = 3*u + 22. Let k(b) = r*v(b) - 3*z(b). Let q be k(-8). Solve -q*f + 0 = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 11*c**2 + 11. What is the smallest common multiple of f(11) and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 262470017 and 0.2?\nAnswer: 262470016.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79307, 317082, 713297, 1267952, 1981047, 2852582, 3882557?\nAnswer: 5070972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)*a\/(a\/(a*a**20))*(a**(-6))**42 assuming a is positive.\nAnswer: a**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*m = -3, -5*m - 5 - 2 = k. Let x(r) = 2*r**k - 3*r**3 - 1 + 5*r**3. List the prime factors of x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/8)*((c\/c**(1\/5))\/c)\/c*(c\/(((c\/(c\/(c\/(c\/(c*c**(-6)))))*c)\/c)\/c))\/(c*c\/(c*c*c**(-8)*c)) assuming c is positive.\nAnswer: c**(-43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**3 + 6*x**2 + x + 6. Let s(i) = 6*i**3 - 7*i**2 + i - 7. Let d(z) = -5*r(z) - 4*s(z). Calculate d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by -2978666\nAnswer: -185\/2978666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33004 + -35343135.\nAnswer: -35310131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -11, 1, 17?\n\"Answer: 2*c**2 + 2*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 18*p**4 - 4883*p**3 + 6159*p**2 + 13760*p + 2700 = 0.\nAnswer: -1, -2\/9, 5\/2, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034417 to 6 decimal places.\nAnswer: 0.000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 9*d - 10. Let f be (-85)\/(-25) - 2\/5. Let a be -1 + 6\/f + 8. Calculate i(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a tonne in kilograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -21*z**3 - 3*z**2 - 9*z - 12. Is k(-4) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-84)*(-2 - (4 - 4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028690.145ns in weeks?\nAnswer: 0.0000000017008765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, -201, -259, -373, -561, -841, -1231?\n\"Answer: -3*w**3 - w**2 + 4*w - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1807 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 11*x**6\/360 + x**4\/24 + 2*x**3\/3 + 2. Let p(f) be the third derivative of j(f). What is the units digit of p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 773572 and 20?\nAnswer: 3867860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32303 + 3332?\nAnswer: -22311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (-1 - (-13 + 16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20581 - 20580.89303. Let m = g + -0.106. What is m rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*g = 32*g. Solve g = -3*a + 4*n - 17, 7*a = 5*a - 2*n + 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let f be (-21)\/(-3) - (0 + x). Let r = -75 - -77. Solve f = z + r*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2594 + -2597. Let x = 159\/2 - 81. Which is the second smallest value? (a) 2\/11 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 452*v + 474. Let q(k) = -81*k - 95. Let y(p) = 2*h(p) + 11*q(p). What is y(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 15*j + 5. Let f(w) = 2*w**2 + 8*w - 3. Suppose -236*r = -198*r - 152. Calculate r*t(l) + 7*f(l).\nAnswer: -2*l**2 - 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8695*i - 9832*i - 26939*i)*(1 - 1 + 3*i) in the form v*i**2 + w + x*i and give v.\nAnswer: -136398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.296410358 and 7?\nAnswer: 18.296410358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvd when three letters picked without replacement from {y: 7, d: 5, v: 4}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 1493544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/40)\/((4\/95)\/(-4)). Suppose 2*j - z = -3*c, -5*c - 5*j = -18 - 42. Calculate the remainder when 27 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 smaller than 969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -7 + (-5 - -23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1128\/11 at least -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*n**2 - 1186*n**2 - 815*n**2 + 3360*n**2.\nAnswer: 564*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 51. Let a(f) = 26*f**3 + 6*f**2 + 4 - 25*f**3 + 2*f**2 + j*f. Calculate a(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 - 1 = 0. Let a be (51\/12 + -3)*4. Suppose 0 = a*l - 4*l. Solve -5*v - y - 3 = -l*y, k = y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 20*w**2 + 44*w - 39. Let n be i(17). Let u = n + 437. Calculate the highest common divisor of 31 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1005 - -1813?\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (100 + 11 + 2 + -26)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11835 - 3*b**3 - 35*b - 3*b**2 - 11835.\nAnswer: -3*b**3 - 3*b**2 - 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*h + 49*h + 24*h**4 + 3 - 94*h with respect to h.\nAnswer: 96*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + c)*(564*c - 88*c - 2*c).\nAnswer: 948*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + r + 274855 - 892378, 4*r + 24 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.01 * -4.\nAnswer: 48.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28587873374 - 28587873374 + 17*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, 1\/323.\nAnswer: 1\/323, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 5*n**2 + 4*n + 10. Determine a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**8\/1344 - 5*s**7\/504 - s**6\/18 - s**5\/6 + 31*s**4\/4 - 82*s. Let c(u) be the third derivative of j(u). Factor c(h).\nAnswer: -5*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*j = 83*j - 51604509 - 97257891. What is j rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 + -11 + 3 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 - 657*v**2 + 23328*v - 192768 = 0. Calculate v.\nAnswer: -251, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225958119 is divided by 4912133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 6.4. Let k = -11 - -10.5. Let i = -7499\/21 - -357. Which is the nearest to i? (a) k (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 3119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*55\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 10:10 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbc when three letters picked without replacement from {b: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**3\/3 + p. Let h(m) = m + 5. Let g be h(-8). Let j(b) = 2*b - 6*b + 211 - 211 + b. What is g*j(c) + 5*o(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2. Let o(x) = -x - 2. Let w be o(-5). Suppose -m = w*m - 16. Let h(v) = -v + 0*v + m*v. Calculate h(d(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2329 = -5*g, -3*t - 3*g + 825 = -888. What is the remainder when t is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine fifths of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 8*t - 6. Let x be c(-6). Let j(r) = 4*r**2 + 0*r**2 - x*r**2. Let g(z) = 52*z**2 - 25*z**2 - 29*z**2. What is j(g(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 2\/3, -1.61, 31.42 in descending order.\nAnswer: 31.42, 2\/3, -1, -1.61, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 3*n - 3. Let l be r(-3). Suppose -5*s = -46 - l. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28167475 a multiple of 1775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000512891386 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138, -120, -76, 6, 138, 332?\n\"Answer: 2*h**3 + h**2 + h - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27907, 35706, 43507, 51310, 59115, 66922?\n\"Answer: j**2 + 7796*j + 20110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*h + 738 = 0, 0*h = 5*d + 2*h - 1230. Let u be (4 + -22)*57\/6. Let v = d + u. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102*z**4 - 171*z**2 wrt z.\nAnswer: -2448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43482, 43485, 43488?\n\"Answer: 3*d + 43479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-36)\/45*(-10)\/4). Let t be g\/12 - 356420\/(-120). Suppose 9*y = 10863 - t. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*j - 68*j - 65*j + 206*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.167197*1.2.\nAnswer: 0.2006364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598593225 - 5.\nAnswer: -598593230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 16 - 16)*(t + 3 - 3) + (-t**3 + 2*t - 2*t)*(-2*t + t + 4*t) - t**4 + 0*t**2 + 0*t**2.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.177 + 73.177. Let u = q + -73.5. What is the third biggest value in 1, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 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 v(b) = 3*b**3 + 57*b**2 + 213*b + 490. Determine v(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388076 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u - 6. Suppose 4*w + 4*b = 4 - 12, u*b = w - 14. Suppose -w*x + 103 = 43. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109259636.\nAnswer: 2, 97, 379, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - 51. Let n = a + 21. What is the common denominator of ((-1)\/n)\/((-4)\/344) and -13\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 i, and 1 k when four letters picked without replacement from {k: 2, i: 4, j: 2, t: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93067 is divided by 1135.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*p = 0, -15*p + 12*p = -3*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -25. Let q be j\/(-1) - (7 + -10). Suppose t = 1, q = -4*x - x + 5*t - 65. Which is smaller: -14 or x?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447 + 447 + 7*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179351 = -30*h - 26*h - 1327. Calculate the greatest common divisor of 2023 and h.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -434, -6\/5, 1, -0.01, -4, 5?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25128062, -25128040, -25128020, -25128002, -25127986?\n\"Answer: -m**2 + 25*m - 25128086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71683396.\nAnswer: 2, 1009, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 85 + b + 56 - 47 + 7*b. List the prime factors of h(17).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.08 and 65630.\nAnswer: -70880.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759451*g - 4*z + 5 = -759456*g - z, 11*g - 2*z + 11 = -z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -89483.\nAnswer: 268449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Suppose -87 = -4*r + 21. Let u be 279\/r - (-4)\/(-3). Let h(k) = -5*k. Let t(j) = -j**3 - 7*j**2 + 9*j + 6. Let s be t(-8). Give s*h(q) + u*d(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -700 - -703. Let z(w) = 163*w**3 - 3*w**2 + 3*w - 4. Is z(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + g**2 + g**2)*(3*g + 0*g - 2*g)*(62*g - 62*g + 5*g**2).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -90 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from oooowowoooowoo?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23*s. Let d(n) = 90*n**2 - 30*n + 4. Calculate d(g(w)).\nAnswer: 47610*w**2 - 690*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9204 at least as big as -9203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -26, -15, 0, 19, 42?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {o: 2, x: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {z: 2, l: 6, n: 1, v: 1, y: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydy when three letters picked without replacement from mdjjmmyjysdmmyjy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -36*u - 169. Let a(j) = 16*j + 84. Let c(f) = 7*a(f) + 3*t(f). Let g be c(-19). Solve -g*q + 3*o = 15, -q + o - 2*o - 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5145840*w**2 + 707*w + 1922 wrt w?\nAnswer: -10291680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/8? (a) 33 (b) -15 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11791714 and 40.\nAnswer: 235834280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 6*s**2 - 6*s + 10. Let y be (-1)\/(-3) + (-1)\/3. Suppose d + 4 + 3 = y. Is l(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3136404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6383589 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17872 = 99*r + 1042. Calculate the remainder when r is divided by 385\/9 - 6\/(-27).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972.493 less than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:52 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.403 + -0.10211?\nAnswer: 0.30089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21320333 - -10?\nAnswer: -21320323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -238, -473, -708, -943, -1178?\n\"Answer: -235*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9615*z**2 + 9597*z**2 - 19214*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 3:30 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16 + -22)*(5 - (-17)\/((-255)\/80)). Determine g, given that 2\/7*g**4 - 36\/7*g**r + 24\/7*g**3 - 648\/7*g + 1458\/7 = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -15*l + 4. Let a be 1*(-4)\/l - -100. Suppose 0*p + a = p. Is p a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v**3 - 7*v**2. Let z(y) = -11*y**3 - 14*y**2. Let w(t) = 5*l(t) - 3*z(t). Find the third derivative of w(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110020 (base 4) to base 7\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*121.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -65065 (base 11) in base 8?\nAnswer: -270554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12*p - 3. Let f be t(-5). Suppose 0 = -x + 14 + 24. Calculate the greatest common factor of f and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2*d + 0*d + (4 - 7 + 1)*(-4*d - 3*d + 5*d) - 2*d + d - d + 17*d + 1 + 20*d + 467*d as a*d + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4, 1, -0.39356, -3, 2, 16, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50)\/(-4) + (-12)\/(-24). Suppose t*x - 4*x = -x. Which is the third smallest value? (a) -5 (b) 1\/6 (c) 3\/37 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -t + 5*t. Suppose -y + 2*d = d - 4, -t*y - 2*d = 8. Solve y + 2\/3*g**2 - 2\/3*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(209)\/(sqrt(396)*-1) + sqrt(57)\/(sqrt(24)\/(1*sqrt(8))))*3.\nAnswer: 25*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q**2 - 235*q + 2018. Determine y(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 21. Suppose 0 = -3*y - a - 6, 3239992 = -2*f + 4*y. What is f rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a hour in seconds?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1596200 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*d - 10 = 2*b, 3*d - 25 = -4*b. Suppose -b*j - j = -r - 61, 5*j = -r + 69. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 0)\/((-4)\/(-20)). Suppose -a + 8 = 2*f - 0*a, -k*f + 3*a = -9. Suppose -5*m - 1880 = -f*m. What is m rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 + 22572886*c\/5 - 127383795592249\/5.\nAnswer: -(c - 11286443)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-28)\/(-7)*((-6)\/(-6))\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetdeg. Give prob of picking 1 g and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16.67302154 and -312.\nAnswer: -328.67302154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 67*q - 55. Determine i(-22).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3796862 micrograms to kilograms.\nAnswer: 0.0000000003796862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 35*k - 106078 - 41972. List the prime factors of k.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5532896.\nAnswer: 2, 43, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 39022*b\/3 + 380679121\/3.\nAnswer: (b + 19511)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9942 (base 10) to base 4\nAnswer: 2123112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 14*b**2 - 15*b - 18. Let w be o(-12). Let x = -1183 - -2437\/2. Find the common denominator of x and w\/(-60)*8\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -4*r + 33. Suppose r*p + 929 = 30*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 550\/18 + ((-32)\/162)\/((-3876)\/8721).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w - 86. Let l be v(11). What is the greatest common factor of l and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5801443\/58 - 95199242\/725. Let c = x + 31286. Calculate the common denominator of c and -29\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16\/17 - -14\/51. Let i = -44.28 - -44.08. Put -0.08, j, i in increasing order.\nAnswer: j, i, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 4234?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hllhhlellhlehlhhlql. Give prob of picking 1 l and 1 e.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 less than -6922748?\nAnswer: -6922748.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.352 less than -236315264?\nAnswer: -236315263.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 + -128. Let g = 17 + n. Which is the second smallest value? (a) -0.2 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4730, -4728, -4726, -4724, -4722?\n\"Answer: 2*v - 4732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (1*sqrt(156)*1 + sqrt(156)))) + (sqrt(156) - sqrt(156)*5 - sqrt(156))*-2)\/(5*sqrt(1200)*4*-5).\nAnswer: -3*sqrt(13)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/(13083\/98))\/((24\/(-243))\/(-4)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 b when four letters picked without replacement from bffgfbffwfffff?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1258615 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 793*r**2. Let j(o) be the first derivative of 22*o**3\/3 + 2051. What is -143*j(u) + 4*k(u)?\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*5 + -2 + -1 + sqrt(171))**2 + 4.\nAnswer: -108*sqrt(19) + 6169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(13\/3)*x*x**(-1))**49)**(2\/29) assuming x is positive.\nAnswer: x**(1274\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4 - 16*b - 6 + 3. Suppose 0 = -21*h + 31*h + 60. Is k(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16040*z**2 + 16451?\nAnswer: 32080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 0*k)*(4*k - 4*k + 3*k) + 4*k**2 - 5*k**2 + 4*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 2074138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*w**6 + 3*w**4 - 6859*w**3 - 121114*w**2 + 3*w wrt w?\nAnswer: 2760*w**3 + 72*w - 41154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 1359, 2051, 2743, 3435, 4127?\nAnswer: 4819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 3, 29242, -3 in decreasing order.\nAnswer: 29242, 3, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7531353 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 821794964 to the power of 1\/2, to the nearest integer?\nAnswer: 28667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-358)\/(-352)*2. Let i = 178154 + -178154. Which is bigger: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l + 0*l - 3*l)*(-9 + 3 - 4) to m*l + t and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 2*u + 13. Let z be i(0). Suppose -z*n + 56 = -12*n. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358201 by 1.\nAnswer: 358201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20322 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 831.2 * -0.005.\nAnswer: -4.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 15 = -j + d, -3*d - 9 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 104.343800681 and 63.1.\nAnswer: 167.443800681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -663 + 605. What is the tens digit of (m - -739)*(-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Let q(d) = 3 + 4 - g - 2*d**2 - 4. Give q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33920.821 times -0.03\nAnswer: -1017.62463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000675 to 6 decimal places.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*r = -17341 + 90244 + 213441. What is the remainder when r is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.31 - 0.09. Let f = 0.39 - -0.01. Let l = j + f. Which is the closest to l? (a) -2\/3 (b) -1 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*w + 28 = w, 2*w = -4. Is f > -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0 - 1\/120*t**6 + 34*t**2 + 0*t + 14\/3*t**3 + 1\/24*t**4 - 13\/60*t**5. Calculate the remainder when 73 is divided by v(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(2*b**2 + 3*b**2 - 3*b**2) - 3 - 2*b**2 + 3 + (2 - b - 2)*(-1 + b + 1) - 3*b**2 - b + b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 1025 + k + 1027. Let m(y) = -y - 2. Let z(n) = -3*m(n) - 2*p(n). What is z(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34936 - 65413. Let g = k - -30478.00045. Let x = 1 - g. What is x rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 740.2 and 43.65.\nAnswer: 32309.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -17860*r + 65. Let z be m(15). Let n be -4 + (z\/(-1200))\/17. Let k = 81\/16 - n. What is the common denominator of 16\/21 and k?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/((-12)\/288)*6534\/(-242).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**5)\/m)\/(m**4*m)*(m*m**(-2\/3))**25*(m\/((m**(1\/4)*m)\/m*m)*m)**(-3\/25)*(m*m**(2\/7)\/m)\/m*m**(2\/9) assuming m is positive.\nAnswer: m**(-14167\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 328\/9*r**3 + 700928\/9 + 2\/9*r**4 + 194176\/9*r + 5272\/3*r**2.\nAnswer: 2*(r + 8)**2*(r + 74)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -263.40024 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 8:53 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28206, -28209, -28212, -28215?\nAnswer: -28218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 223 = 25*z, 5*l + 15 - 17 = 2*l - z - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16.9 times -58\nAnswer: 980.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173970 and 1217790.\nAnswer: 1217790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 2*d - 1. Let q be i(-2). Let a(g) = -g**3 - 6*g**2 - 4*g + 6. Let c be a(-5). Let n = c - q. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 24. Let h(y) = 4*y**3 - 3*y**2 + 4*y + 7. List the prime factors of h(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - 4*c**3 - 8*c**3 + (-2 + 2 - 4*c)*(c**2 + 0 + 0) - 33*c**3 - 4*c**3 + 5*c**3 in the form m*c**2 + s*c**3 + i*c + o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2 - 4) + -10 + (0 - 6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3. Let n(y) = 14*y + 10*y + 18*y + 7*y - 38*y. Determine a(n(i)).\nAnswer: 121*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 601488378 to the power of 1\/2, to the nearest integer?\nAnswer: 24525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12249 by 17.\nAnswer: -12249\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 36 = -r + 6*r, -2*r - 28 = 5*z. Let b(f) = -22*f + 30*f - 8 - 175000*f**2 - 10*f. Let x be b(r). Round x to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.809091l in millilitres?\nAnswer: 809.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*(-110)\/99)\/(16*(-7)\/(-336))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 450074505 to the power of 1\/3, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + 2*t. Suppose -h - 3*c + 47 = t, 8*h - 127 = 5*h + 5*c. Calculate the highest common divisor of 110 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13320720.981 - 0.426?\nAnswer: -13320721.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13436.27 + 13434. What is the fourth smallest value in 0, -2, w, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 - 8 = 0. Suppose -m - 268 = -5*m. Suppose 4*b + 2*p + 23 = 131, 3*b - m = 2*p. Solve x*i - 3*i = -b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144.5 + 2.5. Let w = f + -143. Let o = 1 - 2. Which is the third biggest value? (a) -2\/7 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 3*i - 4. Let o be s(6). Suppose b - h = h - o, -2*h = -2*b - 18. Let v = -1 - b. 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 j(t) = -t**3 + 22*t**2 - 2*t + 54. What is the smallest common multiple of j(22) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -37, -8, 22 in ascending order.\nAnswer: -37, -8, 1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -75449041\nAnswer: -7544904.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*s - 101*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*a**3 - 43*a**2 - a + 39*a**2 + 8*a**3 + (-2*a**2 - 2 + 2)*(-3 + 3 - 2*a) to the form u*a**3 + c*a**2 + o*a + l and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 178 (c) -74.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531 - 3229 = -142*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 8, -5*d - 246*y + 256*y - 40 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 426 (b) -1521 (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 + 10. Let k = -3.1 - o. Let r = -2 - k. Which is the biggest value? (a) -3 (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - s. Let c(x) = -2*x + 12. Let d be c(0). Let v(w) = 15*w**3 + 12*w. Determine d*o(h) + v(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dddffdfd.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(9072) + -1)*-6*1)**2*2.\nAnswer: -5184*sqrt(7) + 653256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**3 + 6*o**2 + 2*o - 2. Let s(v) = -6*v**3 + 5*v**2 + 2*v - 2. Determine 5*j(k) - 6*s(k).\nAnswer: k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 3 (b) -1\/3 (c) -5 (d) 0.389 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 2, 0.3, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 442832 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 364845851.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a milligram in micrograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c**2 - 3*c - 3. Let k be 3\/9 + (-23)\/(-3). Let t = -5 - -8. Suppose -t*j + 12 = 0, 3*g = k*g + j + 6. Determine f(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7627)\/203)\/((-3)\/21).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 23 + 6*s - 19 - 17. What is the remainder when l(4) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 166 = -38. Solve -9 = 11*r - b*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -65. What is the remainder when 19 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.035?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8) - (-27)\/6. Let v(p) = -3*p + 4. Let z be v(0). Suppose -2224 = -y*h - 2*s, 4*s = -z*h + 514 + 1718. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**7\/60 + m**4\/3 - 5*m**3\/2 + 5*m**2. Let o(j) be the first derivative of u(j). Differentiate o(k) with respect to k.\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f**3 + 6*f**2 - 4*f + 6. Suppose q = 1 + 5. Let b be s(q). Round b to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 169532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/7 + 102*h**3\/7 - 1350*h**2\/7 + 1250*h\/7 = 0.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1100938303 + -2488.\nAnswer: 1100935815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -309, -3.\nAnswer: -309, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 324, 453, 572, 681, 780, 869?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23589 divided by -2621\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*a - 1812*a + 2038*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 28.23912 milligrams?\nAnswer: 28239120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:37 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*-1 + -1 + (-2 + sqrt(3))**2 + -5 - (sqrt(15) + (sqrt(15) - sqrt(75)\/(sqrt(5) - (sqrt(15)\/sqrt(3) - sqrt(5)))))\/(sqrt(80)\/sqrt(4) - sqrt(5)).\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Let q be (-5)\/(-10) - (-6)\/4. Suppose -4*u - 5*n = -q*u - 2, 0 = n - 2. Put u, 0.4, p in decreasing order.\nAnswer: p, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, 0, -2\/53, 1, -1 in decreasing order.\nAnswer: 66, 1, 0, -2\/53, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 166\/249*-14*3\/(-4). Solve -b*z + 10*z = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29218471759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n + 25*n + 1 + 17*n.\nAnswer: 21*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2860915453.\nAnswer: 11, 29, 8968387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 384 = 85. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 612 - 602. Let w be ((-6)\/v)\/(6*6\/40). What is the smallest value in w, -4, 20, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3\/(-9) - 0). Let x = 0.0003 - 26.6003. Let u = x - -26.5. Which is the nearest to 0.2? (a) p (b) u (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36081 * -2.17\nAnswer: 78295.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 12:42 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/233 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28241 is divided by 2353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by ((-34)\/(-8))\/((-91)\/(-28) + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(55685\/148)*455\/(-1846).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 + -2068\/9. Sort -3\/2, -3, b in decreasing order.\nAnswer: b, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -58. Solve -3*w = -5*g + w - q, 2*g + 20 = 4*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9*g - 7*g = -758, -a + 3*g = -149. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19910 is divided by 996.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24163.18 millennia?\nAnswer: 24163180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**2 - 23*h + 5. Let c be s(2). Suppose c*l + a = 326, 3*l - 5*l = -3*a - 232. Calculate the least common multiple of l and 77.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 8*b**2 + 26143*b - 183052. Determine t(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3, -15\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199899*q - 199897*q + 32*i = 110, -2*q + 23 = 3*i for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.61 and -0.14544973615?\nAnswer: 0.75544973615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1171678 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.2 (b) -2\/5 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*y - 142*y - 249*y + 48*y + 31*y.\nAnswer: -427*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35185.\nAnswer: 5, 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 64253039240.\nAnswer: -64253039252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 593 + -588. Suppose s*k + 4*g - 162 = 0, 3*g + 129 = 123. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.7. Let m = 1 + 2. Let l = 219\/5 + -44. Sort m, s, l.\nAnswer: l, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/61200138 and -59\/992.\nAnswer: 979202208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Suppose -5 - 6 = w + 4*o, -2*o = -4*w - 80. Let n = w + 15. Put s, n, 0 in decreasing order.\nAnswer: 0, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 42, 3\/7, 0.3, -0.036, 2\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 30215 = -2*q - 5*b, -3*b - 45270 = 3*q. Is q\/((-6)\/3 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2990189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -289435575192?\nAnswer: 289435575192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731023251 to the power of 1\/4, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-39) + ((-70812)\/(-5616))\/(-7).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -15) + -9 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 10*g**2 + 10*g - 1. Let j be o(9). Suppose -j*i + 90 = -38. Let k be 0 + 0 + (-17 - -20). Solve -5*h - i = 5*r - h, r + k*h = -1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -2, 22\/5, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q + 11 + 121 = 0. Let f(l) = -3176*l - 25. Is f(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677*q**2 + 21*q**3 - 677*q**2 + 5*q**3 + 330052 - 330052.\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/(b\/b**9))\/b*b**3)**(-18) assuming b is positive.\nAnswer: b**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 7 = 5*f, -3*g + f - 8 = 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 0, -1, -3 in ascending order.\nAnswer: -3, -1, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.097 + 181.903. Let m = 181.782 - c. Let o = 0.012 - m. Round o to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, -3, -1, 11830?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/19 + 188*v\/19 + 368\/19.\nAnswer: 2*(v + 2)*(v + 92)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213312 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 22570*i**2 - 636520*i - 2906880 = 0. What is i?\nAnswer: -4542, -4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/36 + 1\/(-18)*-4420803. Round f to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.3 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 0 - 1\/120*w**6 + 5*w**2 - 7\/6*w**3 - 7\/60*w**5 + 1\/8*w**4 + 0*w. Calculate the remainder when j(-8) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1264 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -40*d + 3. Give b(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/10967 and -26\/275.\nAnswer: 274175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**3 + 4*j**3 - 4*j**3)*(31 - 11 - 21 - 8*j)*(1 + 4 + 2) as n*j**4 + p*j**3 + i + c*j + u*j**2 and give n.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2441 and 0.05.\nAnswer: 122.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1218d3?\nAnswer: -1218d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21b - -12?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.169 + -1.831. Let l be (20\/(-6))\/(28\/189). Let n = l - -21. Which is the fourth smallest value? (a) -22 (b) v (c) 1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 308\/(-12))\/(1\/39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.1 (b) -2\/9 (c) 3\/541 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2950 by -590.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-9))\/(12\/9)*4\/(-110)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -5, -0.1, 73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*d**3 + 2 + d**3 - 2.\nAnswer: -323*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let g = 158 + -158.4. Which is the closest to n? (a) g (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 47*v + 562. Calculate a(10).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8622512 and 16704?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17301522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-9))\/(111\/518).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/11, 1.407, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3905574 (b) -2\/23 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 157520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265\/78 + -42\/13. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662164 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/15 + 8*d**4\/15 + 14*d**3\/15 - 4*d**2\/3 = 0. Calculate d.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d94 (base 16) in base 14?\nAnswer: 5a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40354521*v - 104367517.\nAnswer: -40354521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - m**5 - m**2 + 2*m**2 + (-3*m**4 + 3*m**4 + m**4)*(-6414*m + 446*m + 1505*m - 2250*m).\nAnswer: -6715*m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-20) - (-306772)\/11320\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/13 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 56. Suppose -15*u - 38417 = -321*u + 4423. Calculate the greatest common factor of u and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 6. Let c be n(4). Let i be c\/7 - 4\/(-14). Solve -3*x = -i*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3655 and 55.\nAnswer: 40205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in centuries?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2475 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94256\/11 - 8564. What is the common denominator of i and -41\/138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*4\/32 + 45\/60. Solve 0 = -5*f + 5*j, 1 = 4*f - u*j + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6936898.\nAnswer: 2, 73, 47513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -289322, -578640, -867958, -1157276?\n\"Answer: -289318*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j + 88*j + 140 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0282 * -0.1\nAnswer: -0.00282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*b**2*l - 6830*b**2 - 119*l**2 wrt l?\nAnswer: 52*b**2 - 238*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -4*u + 143, -2582*u + 2581*u = 2*a - 38 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13819 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 10*t**2 - 6*t + 30. Let p be f(-9). Solve -p*c - c = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 2. Let y(p) = -p**3 - 7*p**2 - 1. Let o be y(-7). Let h = 597\/7 + -85. Which is the biggest value? (a) h (b) o (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 900414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20443.\nAnswer: 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59\/4 of a second?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 15*w - 14 = 12*w, 0 = 2*t - 4*w + 14. Is -1\/231 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - d = 2, 5*d + 4 + 6 = -3*s. Suppose -3*q - 3 - 12 = s. Sort 0, q, -2 in ascending order.\nAnswer: q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297275 is divided by 797.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 305\/(-6)*6\/(-20) and -39\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/2 - 95\/165?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-57 - -100)) + 1 + -5 - (-5 + -1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 3*n - 3*n - 3*n - 260.\nAnswer: -n - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -17*q**3 - 31*q**2 - 4*q. Let u(k) = -16*k**3 - 32*k**2 - 5*k. Let f(l) = -5*a(l) + 4*u(l). What is the third derivative of f(d) wrt d?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 14) + (51 - 71)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10878, 21779, 32716, 43707, 54770, 65923, 77184?\n\"Answer: 3*j**3 + 10880*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and 43\/96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 18 = 39. Let g = -9 + a. Let b(s) = -s**3 - s. Give b(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 237, 233, 227, 219?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162) + 3)**2.\nAnswer: -54*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**2 + 6*v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 + 18*u + 10. Calculate i(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.82 - -15.82. Sort w, -1\/2, -1, 0.2 in descending order.\nAnswer: 0.2, -1\/2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 318*x**5 + 2 + 3*x - 319*x**5 - 2*x**5 + 3*x**5 + 0*x**5 + (2*x**4 + 2*x**4 - 2*x**4)*(5*x - 3*x - x) - 6*x**5 - 2*x**5 + 3*x**5.\nAnswer: -3*x**5 + x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13202 and 457332.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -950612*t**2 - 42275007.\nAnswer: -1901224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5*m - 30306508*l**2*m**3 - 10274*l*m**3 - 314*m**3 - 3*m + 2 wrt l?\nAnswer: 20*l**3*m - 60613016*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -1\/12*p**3 + 0*p - 10*p**2 - 1\/48*p**4 + 1\/240*p**6 + 0 + 1\/120*p**5. Factor m(i).\nAnswer: (i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b8 (base 15) to base 7.\nAnswer: -20636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 3*z**2 + 0*z**2 + (0 - 2 + 1)*(0 + 0 - 4*z**2)*(2 - 1 + 0).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f0 - 5c11?\nAnswer: -5e01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + y = 311 - 2224, 2*z + 772 = 3*y. Let d = -208 - z. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = 8*g - 10*g + 4*v, 4*g = -5*v + 926. What is the greatest common divisor of 312 and g?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = -8. Let z = 4 + m. What is the third derivative of 2*t**4 + z*t**2 + 0*t**2 - t**2 wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ybpwabpdydbbadyp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (28 + -19) - 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 - -7)) + (-3 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 - 1353 = -12*o. Calculate the highest common factor of 3509 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 36, 19, -46, -177?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.6 and 0.606.\nAnswer: 4.6056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 48. Let u = 27 + n. Calculate the smallest common multiple of u and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 28. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 take away 695480?\nAnswer: -695546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 19*x + 4. Let s be w(19). Suppose -s*q + 3*q = 2*q. Suppose 0*f = -3*f - 4*r + 569, q = 2*f + 2*r - 382. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -409, -383, -303, -139, 139?\n\"Answer: 5*p**3 - 3*p**2 - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62 - 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, a: 2, h: 2}. Give prob of sequence hmam.\nAnswer: 11\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (6\/6 - -20 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*m**2*v - 13*f**2*m**2 - 2*f*j*m**2 - j*m*v + 8*j*m + 16*m**2*v with respect to v.\nAnswer: -2*f**2*m**2 - j*m + 16*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 39. Let f be m(17). Let p be ((-6)\/5)\/(f\/(-3870)). Suppose -6*t - p = -15*t. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110121 + 1214?\nAnswer: 111340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2. Let d(k) = 131541*k - 7. Give d(o(c)).\nAnswer: -789246*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*h + 22, 7 = -h + t - 4. Let u(v) be the first derivative of v**2 + 20*v + 20471. Let c(z) = z + 10. Determine h*c(r) + 6*u(r).\nAnswer: r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230396 divided by -5.\nAnswer: 230396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 22*o - 10. Let p be w(21). Let c(d) = -d**3 + 12*d**2 + 3*d + 8. Let n be c(p). Suppose 6*s - n = 210. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -c + 13, 3*a - 15689*c = -15684*c + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 325\/2*n - 327\/2*n**2.\nAnswer: -(n + 1)*(327*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*u - 207*u - 242 = 0. What is the remainder when u is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 8. Suppose -9*q = -o*q. Do -2\/15 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.95 and -4394.\nAnswer: -26144.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*h + 467, 0*h - 349 = -3*h - 5*t. Find the second derivative of -124 + h - 7*l + 5*l - 58*l**2 - l**3 wrt l.\nAnswer: -6*l - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231633196?\nAnswer: 2, 193, 300043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 11*a**5\/120 + 5*a**4\/12 - a**3 + 5*a**2. Let p(u) be the first derivative of l(u). Differentiate p(o) wrt o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 255. Let y(h) = h - 517. What is 7*g(v) - 4*y(v)?\nAnswer: 3*v + 283","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 3686?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 14*h**2 - 15*h - 24. What is m(-15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 22*k - 65. Let m(s) = -49*s + 128. Calculate -9*c(i) - 4*m(i).\nAnswer: -2*i + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 1:36 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 353*i**2 - 441*i + 29. What are the prime factors of u(90)?\nAnswer: 11, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 24*l = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1766 + 1339. Put i, 4, -2 in decreasing order.\nAnswer: 4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/7 + 8*b**3\/7 + 2*b**2\/7 - 12*b\/7 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24354\/7 - -3486. Let o = -743 + 355. Let c = 387.9 + o. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1997*a + 1985*a - 3983*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 5 - 10 + 7 - 2*y**2 - 35*y - 10*y**3 to u*y**2 + p*y + z + v*y**3 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**4 - 219*f**3 + 990*f**2 - 1188*f - 648.\nAnswer: 3*(f - 6)**2*(f - 3)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 7, -2 in descending order.\nAnswer: 7, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26110 divided by 3730?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4150 * 0.2.\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7736 - 31.7466. Let p = 31 + b. Round p to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 42*h - 202. Calculate t(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1235 in 4\/5, -1, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*54\/(-6). Suppose 0 = f*q - 0*q + 33. Let i(w) = -4*w - 9. What are the prime factors of i(q)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 8. Let r be x(6). Let o = r - -56. What is the greatest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + ((sqrt(136) - (sqrt(136) + sqrt(136)*2))*-6 - 3*sqrt(136)*-2)\/(-1*sqrt(800) + (sqrt(8) - sqrt(40)\/sqrt(5)*5))).\nAnswer: -27*sqrt(17)\/7 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*v**2*y**3 - v**2 - 456*v*y**2 - v*y - 2*y**3 + 320*y**2 - 40 wrt v?\nAnswer: 20*v*y**3 - 2*v - 456*y**2 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43146933 divided by 9?\nAnswer: 14382311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -6\/7 (c) 0.329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.23? (a) 6 (b) 2\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2944)\/8320 + (-2)\/(-13).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 12 (b) 7 (c) 0.3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(3\/2)*r*r))\/r**(36\/5))\/(r**10\/r*r\/((((r*r*r**20)\/r*r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11935447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 1425 = -5*l - 3*s, -5*l + 3*s + 1425 = 0. Suppose w - 216 = -5*o, 3*o = 5*w - l - 767. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/325 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((60\/(-8))\/(-5)). Let j be 2\/(-4)*m*12. Calculate the remainder when 13 is divided by j\/(-24) + (-34)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o = 80*o + 50. Solve x = -5*z - 26, 0 = -3*z - z - 5*x - o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31148 - -53427. What are the prime factors of z?\nAnswer: 22279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28010 is divided by 1072.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25232)\/2656*25\/15*(-36)\/(-10)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20392454 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5745900 to the nearest 10000.\nAnswer: -5750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2 - 41274*c + 41138*c - 98 - 36 = 0.\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000221 - 1000?\nAnswer: 1222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 times -6.08?\nAnswer: -620.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 1105.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 29)*((3\/(-2))\/3)\/(2\/(-4))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o - 12 = 0. Suppose o*h - 50 = -6. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:38 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51424000 rounded to the nearest 100000?\nAnswer: 51400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4316 and 4108?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzyz when four letters picked without replacement from {x: 4, y: 4, z: 2, o: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3131, -1770, 497, 3670, 7749?\nAnswer: 12734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**3\/b)*b**(2\/15))**(-42))**(-11))**36 assuming b is positive.\nAnswer: b**(-72072\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10925 and 2068.\nAnswer: 22592900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 11*w + 15. Let c(p) = 2*p**3 - 2*p**2 + 2. Let d be c(2). What are the prime factors of a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/4*l**4 - 1\/4*l**5 + 0 - 2*l**2 + 1\/10*l**6 + 0*l - 1\/70*l**7 + 0*l**3. Factor z(d).\nAnswer: -3*d*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 658.6 rounded to the nearest 10?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 k when four letters picked without replacement from {k: 3, i: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139557 and 21615?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - 24*a**2 - 195*a + 86. Give f(-9).\nAnswer: -2290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 7*z**2 - 10*z - 6. Let r(b) = b**3 - b**2 - 2*b - 1. Let p(w) = -5*r(w) + y(w). Let t(a) = -4*a**3 - 2*a**2 - 1. What is -6*p(f) + 5*t(f)?\nAnswer: -2*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -1.667783?\nAnswer: -1.267783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435034213 (base 6) to base 9.\nAnswer: 15602560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4*((-1729)\/(-39))\/19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154490689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 402, -2, 31, 1, 2, 0 in ascending order.\nAnswer: -4, -2, 0, 1, 2, 31, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -18589\/4289?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 411413?\nAnswer: 411410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53009*u**2 + 17*u - 47138161.\nAnswer: -106018*u + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1451635 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726425761.\nAnswer: 726425761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 255, 266, 301, 372, 491?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = 3*w. Let u = 2.6 + -0.4. Let f = -1.2 + u. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:51 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 5) in base 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235 or -1679?\nAnswer: -1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/5268 and 83\/45152028.\nAnswer: 45152028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.6 + -22.2. What is the second smallest value in 1, -688\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62957766*j + 28870660 wrt j?\nAnswer: -62957766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 273831, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69604 + 3341129\/48. Let q = -8\/4173 + 421921\/233688. Find the common denominator of q and p.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-567)\/(-28) - 2) - -9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311355 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 18. Let b be f(7). Let t(u) = -u + 13. Let v be t(b). What is the second derivative of -3*d - 4*d + 2*d - 11*d**v wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 n, 1 l, and 1 b when four letters picked without replacement from {b: 1, l: 6, c: 5, p: 2, n: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**2 + 294870*h - 7245693075 = 0.\nAnswer: 49145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-165)\/(-3))\/((-12935)\/15522)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/72 and -79\/66568?\nAnswer: 599112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13303630 (base 7) to base 5.\nAnswer: -303301010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4720221l to millilitres.\nAnswer: 472.0221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126192*n + 126187*n - 252392*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-19 - (12 - (30 - 10))) + -38.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0733248 in -1\/7, 21, -1\/3, -2\/13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 6*x - 1. Let c be f(-3). Let n = -5 + c. Suppose 3*h + 3 = 2*h, n*s = -3*h + 12. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/7)*d)\/d)**(3\/2)\/(d\/(d**(-8\/9)*d)*d**(-5\/7)) assuming d is positive.\nAnswer: d**(59\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/3, -2\/9, 1\/3, -9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Suppose -3*c + 6 = -0. Let m = 4.2 + -4. What is the closest to o in 0.3, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67568384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -4*w + 5*b + 62, 4*w + 34 = 2*b for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/160)\/((-8)\/(-224)))\/((-16)\/60)*-4?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 5\/3)*1071\/(-84). Solve -u*y + 38*y + 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5858 and 808.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 4*y - y)*(-3 + 1 - 3).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 837.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*a - 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/73623000 and 81\/5000?\nAnswer: 368115000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/6186 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n, -4*m + 248 = -5*n. Suppose -67*i + 10 = -m*i. Solve -a + 17 = -3*y, y + i*a = -a + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.84 - -42.84. What is the closest to 0.1 in 0.116, 0, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g. Let s be q(1). Let o(x) = -20*x**2 - 523*x - 72. Let a be o(-26). What is the greatest common divisor of a and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 bigger than 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 704 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/10 - 794*n**4\/5 - 17693*n**3\/2 - 166588*n**2\/5 - 24630*n = 0. Calculate n.\nAnswer: -50, -3, -1, 0, 1642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p - 6 - 6*p**3 - 20*p + 35*p + 2 + 2 to the form n + i*p**3 + a*p + t*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, n: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -28642037 at most as big as -28642036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.714 rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 5*b + 14. Let f be z(-7). Does 4 divide (f + 1 - 1) + 45 + -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 - 5*x**2 + 42*x. Let k(o) = -o**3 - o**2. Let g(b) = i(b) - 4*k(b). Let l(a) be the second derivative of g(a). Calculate l(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259891008 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.88 * -2.\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-38)\/190)\/(1\/(-9505)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-31)*1*(33\/(-132))\/((-1)\/2)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let b(f) = -4*f. Let d be b(k). Suppose -d*p - 23216 = -3*a - 2413, 2*p = -3*a - 10397. Round p to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33717 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 m when two letters picked without replacement from amumqamnmapn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 4. Let k be x(2). Suppose -2*m - k*c + 3 = -3, 4*m + c = 3. Solve m*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-60))\/(9\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 497 - 35. Suppose -15*p = -13*p - g. What are the prime factors of p?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10.27 (b) 189 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*w - 16, -3*d - 3*w + 6 + 6 = 0. Let r(y) be the second derivative of d + 3\/4*y**2 + 4*y + 1\/8*y**4 + 1\/2*y**3. What is n in r(n) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and -4531?\nAnswer: 4531.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {k: 4, m: 1, h: 5, y: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyz when three letters picked without replacement from {w: 3, y: 3, m: 3, z: 6, d: 4}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1163 + -10.7463. Let a = 13 + -24. Let p = f - a. What is p rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -71*p**5\/20 + 37*p**4\/6 + 108*p - 66. Let q(d) be the first derivative of o(d). Find the third derivative of q(b) wrt b.\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -934 - -1310. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38099165 is divided by 255699.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9734*v**3 + 9725*v**3 - 19458*v**3 + 5*v**2 - 5*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 10*n - 13. Let h be i(9). What is the units digit of (0 - h - -67) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 57) + 19 + 1 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*x + 6*x + 66, -v = 5*x - 33. Let f = 58 - 25. Calculate the highest common factor of f and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*n = 8*s - 8121, 3*s + n = 6099. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 104\/(-24)*(-2)\/2. Suppose 0 = 5*i + 4*p + 29, 3*i + 11 = 6*p - 2*p. Let h = -5 - -2. What is the smallest value in g, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1905 = -24*o - 103*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = m + d, -4*m + 8 = -4*d - 20. Let r be (4\/10)\/((-3)\/(-75)). Solve r*a - 19 - 1 = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229213305 to the power of 1\/2, to the nearest integer?\nAnswer: 35060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46488 and 48?\nAnswer: 92976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -252, -398, -562, -750?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Solve -y*d - 6 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 25*h + 10. Let i be b(-9). What is the remainder when (-11 - -13) + i + -2 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41332499 divided by 207701.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 13255.48764 to the nearest ten.\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17587 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by 3.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/4584030 and -59\/1095.\nAnswer: 334634190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = 0, -11 = -2*p - p + 5*b. Let w(s) = -s**2 + 6*s + s**2 + s**p. Give w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = n - 274 - 352, 4*q - 526 = -5*n. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y*y*y*y**(-25)\/y)\/y)\/y*y)\/y)\/y*y**47)\/(y**(6\/7)*y\/(y*y*y*y**(-28))))**(-6\/13) assuming y is positive.\nAnswer: y**(246\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e0 (base 15) in base 4?\nAnswer: -101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151681741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.11 - 5.21. Let k = -31 + 31.2. What is the closest to k in -2, -1\/3, i, -4\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114687434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 358954499 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-124)\/95 + (-14)\/(-133))\/((-8)\/119720)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -4*h**2 + 85*h - 62. Let v be a(10). Suppose -p = 6 + 2. Sort 4, v, 0, p.\nAnswer: p, 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9726 plus -19126.4?\nAnswer: -19134.3726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 273, 259, 221, 147, 25, -157, -411, -749?\n\"Answer: -2*b**3 + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 10*d**2 - 9*d + 27. Determine u(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11597, 23196, 34801, 46412, 58029, 69652?\n\"Answer: 3*g**2 + 11590*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 577259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130384968*n**3*y**2 + 47720*n**2*y**2 + 6*n*y**2 + 80*y**2 wrt n?\nAnswer: 782309808*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 20*d = 23*d - 22, -3*v + 11 = 5*d for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdplqzblb. What is prob of sequence qpz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 312 + -310. Solve 4*b - j = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*z - 100*z + 516480*z**3 + 168*z.\nAnswer: 516480*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/36)\/(-5*1\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -13. Let k(v) = 4*v - 18. Let a be k(p). Let -4 + 13*r - 6*r**2 - a*r + 11*r = 0. What is r?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y**2 + 3*y. Let v(j) = -j**2 - j. Let d(h) = s(h) + 3*v(h). Let k(c) = -3*c**2. What is d(k(q))?\nAnswer: -99*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 13 + 2. Let i = -1 + l. Solve 0 = -n - 4 + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2110 + 1953 = 18*p, -3*x + p + 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144327487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*d = 2*c + 59, 4*d = 3*c - 99. Calculate the remainder when c is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (6 + 1) - (0 + -35). Solve 13 = -5*a + c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 900 - 340. Suppose 13*f - 5*f = -r. Let n = -65 - f. Solve -2*g = n*o - 5*g - 19, -4*g - 6 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 21 - 15. Suppose 5*h - 13 = -g. Let o be (-18)\/(-27)*3\/2. Solve -h*v = z - o + 7, -5*v - 5*z = 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = b - 2*r, -574 = -b + 3*b + 4*r. Let p = -27 - b. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 - 872*q**4 - 23618*q**3 - 3572*q**2 + 536224*q + 911680 = 0. What is q?\nAnswer: -407, -28, -4, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 15 + -5 + -6. Suppose -2*y = -s - 11, 2*y = 3*y - 2*s - q. Factor 0*h - 1\/2*h**4 - y*h**3 + 27\/2 - 9*h**2.\nAnswer: -(h - 1)*(h + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51205 (base 6) in base 11?\nAnswer: -50a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01718 - -0.02. Round r to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:50 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1. Let u(c) = -21*c. Let w(r) = 4*r - 16. Let n be w(4). Suppose 4*t + t + 15 = n. Let v(j) = t*p(j) + u(j). Differentiate v(z) wrt z.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/522 and 31\/5940.\nAnswer: 172260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -13064?\nAnswer: -13064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-21042)\/(-8856) - (-16)\/(-6)) + 0 and 13\/492?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -1585, -3560, -6323, -9874, -14213?\nAnswer: -19340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3988 divided by 4.\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*p**5 - 58*p**4*z**3 + 6*p*z**3 + 498*p*z wrt p.\nAnswer: -280*p**3 - 696*p**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 116*k - 121*k = 1, 3*w + k = 5. Solve 2*c - 5*y = 23, w*c - 14 = c + 3*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:48 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 553 and 869.\nAnswer: 6083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*p**3\/7 + 25*p**2\/7 - 2*p\/7.\nAnswer: -p*(p - 2)*(12*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 105374480*s + 555189051763520.\nAnswer: 5*(s - 10537448)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -349 or -2434\/7?\nAnswer: -2434\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 3*b**4\/4 + b**3\/3 + b**2 - 6019. Give k(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -677226 times -33\nAnswer: 22348458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6661156?\nAnswer: 2, 31, 53719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -16. Suppose -x*f = -19 - 152. Suppose 2*m = 205 + f. Round m to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*23\/((-621)\/(-18)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/60 - 3*h**5\/40 + h**4\/8 - h**3\/12 + 10*h**2. Factor g(n).\nAnswer: (n - 1)**2*(4*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -358.7 + 359. Put -3, r, -0.05 in descending order.\nAnswer: r, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75140303 by -290117.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 + 0.755. Let h = b - 0.46. What is h rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32595 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from eaeaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6220226*m + 31072. Let h(y) = 2002*y - 10. Let f(a) = -15536*h(a) - 5*o(a). Let n(l) = -l. Determine f(n(g)).\nAnswer: 1942*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-680)\/(-312) - ((-32840)\/520 + 63)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 + 1.39. Let r = 0.9 + f. Which is the nearest to 1? (a) 1\/5 (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.86 plus 241887226?\nAnswer: 241887243.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 5*g + 136 = 0, q + g = 4*q - q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 201.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/7)\/((k**(2\/15)*k)\/k)*(k**(-1\/2)\/k)**(-2\/65)*((k\/(k**(3\/7)*k))**23)**(-29) assuming k is positive.\nAnswer: k**(390466\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(315)*1)\/(sqrt(20)\/(sqrt(100) - -1*sqrt(100))).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49140 divided by 52.\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 11*w - 20. Let x be s(9). Let r = 3 - x. Suppose -5*b + 250 = -p, -r*b - 3*p + 273 = 43. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/5 + 72*z**2\/5 - 178*z\/5 - 132 = 0.\nAnswer: -2, 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 73*y**2 - 91*y + 3530. What is i(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 - 40749*r - 81492.\nAnswer: -3*(r + 2)*(r + 27164)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.055 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1910039864373.00061 + 1910014462516. Let a = -25401991 - q. Let u = 134 + a. What is u rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 34233445 = -104*m - 89692835. Round m to the nearest 10000.\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-598)\/(-143))\/23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/((-12)\/8))\/1. Let x = -3.2 - -0.2. Let m = -3.2 - x. Which is the nearest to -0.1? (a) -5 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4520 - 4416. Calculate the remainder when 744 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1455.24 times -96.8\nAnswer: -140867.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 6*i**2 + i + 7. Let t be p(-6). Let z = 34.2 + 4.8. Let u = 43 - z. Which is the nearest to t? (a) 3 (b) 4\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 + t**2 - t. Let q be a(1). Let s = -3 + q. Let c = -2 - s. What is the second biggest value in 1, 2\/7, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3467, -4522, -5657, -6908, -8311, -9902, -11717?\nAnswer: -13792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 60*f**5\/7 + 34264*f**4 - 367901*f**3\/7 + 28015*f**2\/7 + 87981*f\/7 + 11997\/7 = 0?\nAnswer: -3999, -3\/10, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1687 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -13*r + 0*r**2 + 0 - 5\/18*r**3 + 1\/36*r**4. Solve a(c) = 0 for c.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - q**2 + 2 + 184608*q + 88*q**3 - 184509*q.\nAnswer: 88*q**3 - q**2 + 99*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.8 - -13.8. Is i < -0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2496091 and 173.\nAnswer: -431823743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.2. Let n = -13 - -13.4. Which is the second smallest value? (a) -1\/4 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 797*i + 0 + 6 - 4 to the form k*i + l and give k.\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -2*j**7\/35 + j**6\/40 + j**5\/5 - j**4\/8 - 10*j**2. Factor r(l).\nAnswer: -3*l*(l - 1)*(l + 1)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-39 - -20) + 54)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -172 divided by -6\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 1 j when three letters picked without replacement from kzijsmi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 95*s + 6. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 228*t - 4563. Let b be s(20). Put b, -2, 3, -561 in ascending order.\nAnswer: -561, b, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + 12ddcd?\nAnswer: 12ddd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-5*4 + -6*sqrt(66)*5)\/(-2*((sqrt(42) - sqrt(42)*3)\/sqrt(7) - -4*sqrt(54))).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 16\/6 - -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**1*w**6)\/(w**1\/w**(-2\/9)) assuming w is positive.\nAnswer: w**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39910810 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egx when three letters picked without replacement from qqxegqayggxyaaxga.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*l - 1. Let p(s) = s**2 + 2*s + 2. List the prime factors of p(l).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -6*d + 31, -114 + 111 = -3*d - 0*d for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -944 + 944. What is the fourth smallest value in -0.4, s, -1\/6, -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102102 + 3?\nAnswer: 102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*f + f, -4*l + 2 = 2*f. Which is bigger: -9\/8 or l?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 24*t**2 - 46*t + 30. Give r(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3046 - -3027. Which is the closest to 2? (a) 8 (b) i (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c - 2*c. Let y = 5 + c. Calculate the least common multiple of y and (11\/3 + -2)*3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -c - 10, -3*c + 2*s + 3 - 8 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide ((-9)\/(-4))\/(6\/352)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-10)\/(-5)) + -7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3) - (0 + sqrt(3) + 2)) + (sqrt(243) + -2)**2.\nAnswer: -35*sqrt(3) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13805 is divided by 512.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639 a factor of 2741775089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -11*f**5\/12 + 27*f**2 - 3. Let z(x) = 2*x. Calculate z(p(t)).\nAnswer: -110*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325 - -229. Let q be (2\/4)\/(216\/h). Which is the nearest to -0.3? (a) q (b) -1 (c) -3 (d) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*i + 60, 0*i = 3*i + 5*v - 46. Suppose 0 = q + 2*j - i*j - 96, -j = 3*q - 368. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364947591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 38 = 51*v - 56*v, -d + 3*v = 22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68)*-1 - sqrt(68) - sqrt(68)))\/((sqrt(40)*2)\/sqrt(10)).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1215)\/162*(-3 + 4 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, s: 3, l: 5}. What is prob of picking 2 l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -2 (b) 0.2 (c) -0.073 (d) 387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4377, 4367, 4367, 4383, 4421, 4487?\nAnswer: 4587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 379\/32 = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:37 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35920 - -122?\nAnswer: 36042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/((-6)\/2664). Let v be (-4)\/(-26) - p\/78. Solve 3*a = h - 6, v*a + 6 = 7*h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 13771, 4 in descending order.\nAnswer: 13771, 4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61666 (base 10) to base 8.\nAnswer: -170342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*j**5 + j**4 + 152*j wrt j?\nAnswer: 720*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -12. Suppose 4*a + n + 3 = -1, -c*n - 20 = a. Suppose 4*w - 3 = -4*b - w, -b - w + 1 = a. Solve k + 10 = -3*g, b*k - 5*g - 30 = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2178268*b**6 + 4*b**4*r**2 - 361*b**2*r**2 - 8*b**2 - 47*r wrt b?\nAnswer: 261392160*b**3 + 96*b*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 19. Let j(b) = 13*b**3 + 5*b**2 + 5*b + 6. Let f be j(n). Let t = f + 2193. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453492280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 18 = 4*y, y + 1 = -1. Let o be (-32)\/q*170\/4. Suppose 0 = -5*b + 119 + o. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/14)\/((-35910)\/83790)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ksss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45032800 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*g + 21. Let k = g + -7. Calculate the remainder when 6 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**3*b - a**3 + 81*a*b - 12*a + 2 wrt b.\nAnswer: -5*a**3 + 81*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 332, 328, 322, 314, 304?\n\"Answer: -s**2 - s + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26806095 and 0.1.\nAnswer: 2680609.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310517 is divided by 567?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 897, 1673, 2667?\nAnswer: 3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4390*d - 7696*d - 2 + 2 - 1710*d.\nAnswer: -13796*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 2*d + 81 = -4*d + 91, 9*d = -9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 1, c: 3, h: 1, u: 2}. What is prob of sequence he?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*z = -20*z + 253684 - 2141626. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110 - (34 - (149 - 107)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.0196 - -0.02658.\nAnswer: -54.99302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 490088 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2582, 1798, 1040, 308, -398?\n\"Answer: 13*r**2 - 823*r + 3392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -271361 and 3316.\nAnswer: -268045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0\/(-1) + -2)\/((-483)\/138)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26518658201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*x - 3*j + 1 = -68*x, -5*j + 35 = 35*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*f**3 - 92*f**3 + 817*f**3.\nAnswer: 1194*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/31)\/((c\/c**(-2\/17))\/c))\/(c*c**20*c)**(-1\/9) assuming c is positive.\nAnswer: c**(11342\/4743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0 - 4*t**2 + 1\/24*t**4 - 1\/2*t**3 + 0*t. Differentiate c(r) with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkfffr. What is prob of picking 3 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 193812232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c - 6. Suppose 0 = -5*v + i - 26, 31 = -4*v + i + 11. Let x be y(v). Let o = 4 + -3. Solve -3*n = -2*a - x, -n - a + o + 3 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {f: 2, r: 6, n: 3, m: 3, z: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38098 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 5*r + 4. Calculate the smallest common multiple of d(4) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010011010111001010101 + 101?\nAnswer: -1000010011010111001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put 59, -79, 1\/5, 12, -0.06, -2 in decreasing order.\nAnswer: 59, 12, 1\/5, -0.06, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/(-1))\/(6530\/2176 - 3). What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.4 and -57072.\nAnswer: -194044.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*-31327.\nAnswer: 59521.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 335666*c + 335639*c - 1.\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.98 + 1. Let g = 0.1036 + 0.8964. Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or 1877?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -31.9999916. Round c to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 48*u**2 - 305*u - 809. Determine o(-41).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -86. Let h = m + 63.00000067. What is h rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let u = 5 - r. Let g = u - -2. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.27 + -55.37. What is the nearest to y in 3, -2, 6.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2470)\/144 + 2\/(-9). Let y = p + 17. Put 3\/7, y, 4\/3 in decreasing order.\nAnswer: 4\/3, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**2 - 30662*y - 9*y**2 + 18826*y to k + i*y**2 + m*y and give m.\nAnswer: -11836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41233, -41471, -41709, -41947?\n\"Answer: -238*f - 40995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/6 - 4651805*j\/3 - 9303611\/6 = 0. What is j?\nAnswer: -1, 9303611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.505282 - 7?\nAnswer: -17.505282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 + -52?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 359 - 331. Solve -v + 5*b = 24, -5*v + 23*b - w*b + 30 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194358, 388723, 583088, 777453, 971818, 1166183?\nAnswer: 1360548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 12:26 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1876*a + 91198. Determine r(45).\nAnswer: 6778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -23. Suppose s - j = -2*n + 46, s + 5*n = 74. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 13*a**2 + 6*a - 144. Suppose -33 = 10*h - 23. Let z(l) = l**2 + l + 3. Let m(o) = h*f(o) + 6*z(o). Differentiate m(w) wrt w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 divided by -60?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:08 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79300 and 1404?\nAnswer: 2141100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 115500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1405\/4 - 12479\/36. Calculate the common denominator of l and 113\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52.7 from -40974518526.\nAnswer: -40974518578.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 3, 125, -10712 in decreasing order.\nAnswer: 125, 3, -1.1, -10712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4652, 9175, 13690, 18191, 22672, 27127, 31550, 35935?\n\"Answer: -x**3 + 2*x**2 + 4524*x + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3\/21 - 1*(-255)\/420.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34207 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5718298*x**2 - 9749922 wrt x.\nAnswer: 11436596*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - bbd?\nAnswer: -bbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + q + 3. Let x be c(0). Suppose -x = -5*n + 17. Solve -y - 3*y - n = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b - 2*b + 3*b + 1. What is the remainder when 49 is divided by s(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 23. Let f be v(11). Let l = f - 15. Sort -2, 1, l in descending order.\nAnswer: 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 22. What is the units digit of k(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8525 + -8529. Which is the biggest value? (a) -5 (b) y (c) 26.8 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - -155. Is 56 a factor of (144\/64)\/(z\/(-96))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - -0.4. Let h = 1.3 - o. Let s = -0.1 - -0.3. Which is the nearest to s? (a) -1\/2 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963197 (base 14) in base 13?\nAnswer: 108b009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + 249*u - 5*u**3 - 251*u + 13*u**2 to the form q*u + i*u**3 + h*u**2 + z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3225.64 to the nearest 10.\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -530.908 - -532. Let x = 1.01 - n. What is x rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2\/9 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 0 + 0)*(-18134293*a - a**2 + 2705*a**3 + 18134293*a) to the form r*a**3 + v*a + m*a**2 + g*a**4 + y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/120 + d**5\/10 - d**4\/8 - d**3\/3 + 2*d**2. Let p be g(5). Let n = -6 + p. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/192 and -137\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 24. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 838100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8001 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 12) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111110 + -10?\nAnswer: -1001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.09 (b) -3 (c) 6 (d) -3\/2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 1, -227, 0?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 23*y + 25. Let p be z(11). Suppose 0*n - 2*n = -3*q + 6, -p = 4*n - 5*q. Let m(j) = j**3 + 5*j**2 - 3*j + 4. What is m(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 - 159*f**2 - 103*f**2 + 34*f**2.\nAnswer: -219*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*h + 1287*h**2 - 25*h**3 - 1287*h**2 wrt h?\nAnswer: -150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5)*j*j**(-1\/2))**(-40)*((j**(1\/3))**(2\/65))**36 assuming j is positive.\nAnswer: j**(-4916\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/245*77\/220?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 15) in base 8?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/20)\/(18\/70)*-2*34\/119?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815297?\nAnswer: 7, 116471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Let d(g) = 17 - g + 3*g - 20. What is the remainder when 12 is divided by d(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f**2 + 622*f - 197. Give h(-45).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 99*p - 85. Calculate j(52).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -511*x - 2535*x + 17645 - 37026 - 62861 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c1154 (base 14) to base 12.\nAnswer: -14bb25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 10392*l**2\/5 - 351594*l\/5 - 2983636\/5.\nAnswer: -2*(l + 17)**2*(l + 5162)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -1, 7\/465888?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 186\/153 - (-8)\/12. Let u = 6 - w. Let o be ((-2)\/8)\/(2 + -3). What is the second smallest value in o, 2, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*15\/12*-2. Let o(z) = -2*z**6 + 7*z**2. Let h(w) = -6*w**6 + 22*w**2. Let c(q) = j*h(q) - 16*o(q). What is the third derivative of c(s) wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 15 = 5*p, 9*u + 20 = 4*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 611 and 840\/147 - (8\/70)\/(6\/(-15))?\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330231?\nAnswer: 3, 11, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 591\/25 = 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 13. Suppose 2*r - 15 = -2*r - k*d, 4*d = -4. Suppose 5*t = r*w + 40, 3*t = 5*t - w - 12. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.02, 0, 2\/7 in ascending order.\nAnswer: -3, -0.02, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -7 - (30 - 2). What is the common denominator of (-26)\/63 + 4\/z and (-146)\/10*1\/2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76839 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 7*g**2 - 10*g**2)*(0 - 1 - 1 + 3 - 3 + 1 - 3 + 5 - 1 + (1 - 2 + 0)*(3 + 0 - 5) - 1 - 1 - 14).\nAnswer: 266*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Work out -229291298 - 27.\nAnswer: -229291325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (6 + -2) - 0 - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-17\/5)*(m*m*m\/(m*(((m**(-1\/7)\/m)\/m)\/m)\/m)*m)\/m**(-2\/9))**2 assuming m is positive.\nAnswer: m**(928\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.129? (a) 4\/7 (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -9, 0.052, -1?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*t + 12 = r, -9 = -3*t. Suppose 11*v - 45 = r*v. Suppose -v = -0*d - 3*d. Solve d*m - 5*m = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (1 - -1) - (-64 - -62)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 7 = 49. Suppose 4*r + l*b - 297 = 3*b, 4*b - 71 = -r. What is the remainder when r is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**3 - 3*r**2 + 4*r + 5. Determine f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 19. Let l = 94 - z. Let p = 150 - l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(98)*1 + sqrt(98)) - sqrt(8)\/(sqrt(28)\/(sqrt(7)*-3 + sqrt(7))))*4.\nAnswer: -1376*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 2022 + 156 = -95 + 80 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -9. Let m(w) = -w**2 + 6*w - 4. Suppose -3*k - 3*r = -24, 0 = -k - 3*k - 5*r + 30. What is the lowest common multiple of k and m(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49597.3 days in milliseconds?\nAnswer: 4285206720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9541 - 17.1719. Round z to 1 decimal place.\nAnswer: -19.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f + 2*f, -5*f + 25 = 2*w. Solve -2*r = 3*r - w*j - 30, j = 2*r - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let r(c) = -i - 5*c**2 + 5 + c + 4*c**2 - 3. Let a(f) = -f**2 + 13*f + 1. Let q be a(13). Let g(y) = -y**2 - y - 1. Determine q*r(k) + g(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660449, 660450, 660451, 660452, 660453?\nAnswer: 660454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) - sqrt(7)) + -5 - 2*(1 + sqrt(7)))**2.\nAnswer: 28*sqrt(7) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -61*s - 2366. Determine x(-57).\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 999 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5*z + 21 - 10 - 5.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 2*o - 77. What is p(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -220 + 223. Suppose 4563 = -w*u + 16*u. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, q: 2}. Give prob of sequence qq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 130877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22514*n**3 + 557*n**2 + 9*n + 1528407 wrt n?\nAnswer: -135084*n + 1114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 17, 16, -5, -58, -155?\n\"Answer: -2*w**3 + 8*w**2 - 3*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 9) to base 2.\nAnswer: 10010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2551 and 342780421?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**2 - 4*n - 374. Let b(k) = -10*k**2 + 3*k + 376. Let p(x) = 7*b(x) + 6*v(x). Differentiate p(w) wrt w.\nAnswer: -32*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:57 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -135.\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z + 2 - 3*z**4 + 10*z**3 - 857*z**2 + 845*z**2 - 11*z**3 + 2*z**4 to the form s + y*z**4 + a*z + f*z**2 + p*z**3 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -205 + 16422?\nAnswer: 16218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + -102. Let r = a - -211. Calculate the lowest common multiple of r and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 48 = -4*q + q, 5*x + 10 = 0. Let d(g) = 96*g + 2. Let m be d(1). Calculate the highest common divisor of m and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.023.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.16, 2\/11, 2, -11.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbx when three letters picked without replacement from xddxdxxxjdxjbjjjdd.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 12. Suppose -3*b + 36 = 3*j, 3*j = p*b - 0*b - 30. What is the least common multiple of (b + 1)\/((-6)\/(-8)) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c - 32. Let x(a) = a + 4. Determine -6*s(k) - 51*x(k).\nAnswer: -9*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, -34862218?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:02 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 2 - 3*g - 3)*(-30 - 16 + 12 + (0 - 2 + 1)*(-5 + 0 + 4)) + (-g - 4*g + 3*g)*(-1 + 1 + 2) to r + m*g and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjjjrjjxrjxjjjjj. What is prob of sequence jj?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1.5, -3, 0.3, 0.7, 0.9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 8 = 0, 3*v + 15 = g + 5. Suppose 3*y + g = 4*y. Suppose -5*t + 50 = 5*l, -4*t + t = y*l - 29. What is the lowest common multiple of 4 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1854 and 127\/945540.\nAnswer: 945540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/37611 and -31\/90?\nAnswer: 376110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11088.3 + 11088. Let i = 4\/299 + 1471\/1794. Sort p, 1\/4, 0.5, i in descending order.\nAnswer: i, 0.5, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -137*b - 280. What are the prime factors of z(-14)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 10*d**2 - 636*d + 3007. Calculate h(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -487 - 213?\nAnswer: -69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 30*z + 88*z - 35454 + 45230 for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.475235 weeks in milliseconds?\nAnswer: 287422128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 62*k + 25. Let b = -1598 + 1619. Give u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 1}. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, s: 4, i: 8}. What is prob of picking 2 s and 1 b?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -11643.41?\nAnswer: -11643.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -0.4, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - -1.94. Let y = b + -1. Let j = -0.06 - 4.94. Sort 0, y, j in ascending order.\nAnswer: j, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(108))*-1 + sqrt(108) - sqrt(21)\/(-3*sqrt(343) + sqrt(343)))**2.\nAnswer: sqrt(3)\/7 + 199\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 108 (b) -0.1 (c) -2\/7 (d) 354\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*m + 0 - 11 + m + 10 + 0*m + 0*m + 3*m - 2*m + 3*m + 2*m - 3*m + (1 - 3 + 1)*(3*m - 3*m - m) + m + m + 0*m + m - m - m + 0 + 3*m + 0.\nAnswer: 7*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73545, -146871, -220197, -293523, -366849?\nAnswer: -440175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 18, 0, -20, -42?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/3 + 3023167*r**2\/3 + 18138974*r\/3 + 24185288\/3 = 0. Calculate r.\nAnswer: -3023161, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16286, 7111, -2064, -11239, -20414?\n\"Answer: -9175*j + 25461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22146121, -22146124, -22146127, -22146130, -22146133, -22146136?\nAnswer: -22146139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2814 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.62*-2\nAnswer: -5.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 288 - 282. Let s be (-64)\/(-32 - -16)*d\/8. Solve -s*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 3*h - 377. Let t = h - -150. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -752, -760, -770, -782, -796, -812?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 - 242*j. Let v(w) = -3*w + 24. What is v(f(d))?\nAnswer: 18*d**2 + 726*d + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k - 74. Determine b(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((36\/(-3))\/(-3)). Let k = 3082\/11 - 280. Put k, t, -5 in descending order.\nAnswer: k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:55 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, 0.177, -0.1, -3?\nAnswer: 0.177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/5)\/(3\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 1. Let a(b) = -2*b**2 - 2*b - 6. Let s(n) = -a(n) - 2*z(n). Differentiate s(o) wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*b + 398*b + 3441 - 20458 = 362*b for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -1 - 4 - -8. Let a be (1\/2)\/(z\/30). Suppose a*o - 187 = 71. Round o to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3016, 1369, -276, -1919, -3560, -5199, -6836?\nAnswer: -8471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4929, 8336, 11743, 15150, 18557?\n\"Answer: 3407*r + 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162862209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2021*i**3 - 661*i**3 - 503*i**3 + (-3 - 3 + 1)*(-6*i**3 + 4*i**3 + i**3) to the form m*i**2 + g + q*i + o*i**3 and give o.\nAnswer: -3180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 3*s - 7. Let h be u(5). Suppose -2*y = y + h. Sort 3, y, -5 in ascending order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27602 (base 9) to base 2\nAnswer: -100100100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -49.287 to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6564\/25 or -264?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 410 - 398. Let m = -7 - -25. What is the lowest common multiple of m and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 22869?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/10 + 19*q\/5 + 8.\nAnswer: -(q - 40)*(q + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x - 4. Let y(g) = -3*g + 1. Let a(p) = -6*b(p) - 17*y(p). Let q(f) = -3*f + 6. Let i = 21 - 15. Let m be 6\/(-4)*(2 - i). What is m*a(z) - 7*q(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-26756)\/(-12) + (-2)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/10)\/((-1)\/(-6)). Is h <= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264826696 to the power of 1\/2, to the nearest integer?\nAnswer: 16273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 9:31 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -4*n - 24. Suppose -3*y + 102 - n = 5*f, -4*f = 5*y - 83. What is the remainder when f is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:41 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h - 10. Let m(i) = -6*i - 10. Calculate -4*m(q) + 3*y(q).\nAnswer: 3*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/7, 0, -19\/16?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -42*x**3 + 11*x**2 - 11*x - 4501. Let h(w) = 8*w**3 - 2*w**2 + 2*w + 899. What is -11*h(i) - 2*m(i)?\nAnswer: -4*i**3 - 887","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 22, -5 in descending order.\nAnswer: 22, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-21) - (-1)\/6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*x**4 + 7480171*x**3 + 799740079*x**2 wrt x?\nAnswer: 624*x + 44881026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*v**5 - 923079*v**4 - 3922941*v**3 - 5538207*v**2 - 2999847*v - 461514 = 0. Calculate v.\nAnswer: -76919, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 0.128, -0.3, 2\/17, -3 in ascending order.\nAnswer: -3, -0.3, -2\/23, 2\/17, 0.128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208 - 215. Let l(d) = 1525*d + 5 - 3*d**2 + 4*d**2 - 1516*d. What is l(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = 3*v + 3, -v - 4*i = 13. What is the third derivative of -4*l**3 - l**3 + 4*l**v - 13*l**2 - 7*l**3 wrt l?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 + 3*d**3 - 4*d = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -4*z - 2*x + 14, 2*x + 11 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 25*v**5\/12 + 4205*v**2 + v. Let b(i) = i - 40. Calculate b(m(c)).\nAnswer: 125*c**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 27 = 30. Solve 4*z - 1 = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:34 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 1, l: 1, n: 2, k: 1, z: 2}. What is prob of picking 2 n, 1 b, and 1 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 5*q. Let o be i(7). Let x = o - 10. Which is the third biggest value? (a) x (b) -2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/5460*4*-101 and 68\/21.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*y - 2017514, 3*y - 5043792 = -2*y - u. Let i = 5157232 + -3477990. Suppose -y = -7*t + i. What is t rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -103*d + 133 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q - 0*q. Suppose 2*j + 3*j - 15 = q. What is the smallest common multiple of 25 and j?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3586.39071 rounded to the nearest integer?\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-226)\/339 + 8*(-622)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/(((-12)\/18)\/(-2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 461, 1035, 1849, 2909, 4221?\nAnswer: 5791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((5 - 2) + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*x - 39 = -104*x + 2*c, 0 = -4*x - 4*c - 144. Let n(k) = k**2 + 35*k + 63. Give n(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 114.1549 litres?\nAnswer: 114154.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 3\/5*h**5 + 3\/2*h**2 + 4 + 0*h - 3\/4*h**4 - h**3. Determine b so that p(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmppipsmpsib. Give prob of sequence pb.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t + t = 42*t + 1216 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 11 - 7)*(4 + 2*s - 2*s - s).\nAnswer: -10*s + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81935 is divided by 636?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 49*a + 556. Determine s(-15).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.5. Let v = 19 - 16. Suppose 5*l - 3*q - 11 = 0, -l = -v*l - q. Sort -3\/2, n, l.\nAnswer: -3\/2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -39*z**3 - 18*z**2 + 10*z + 19. Let d be k(7). Round d to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 16 + 38 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 45 = 141. Let x = 651 - 299. What is the greatest common divisor of x and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4239 by 3.\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 2. Let f be y(5). Let l(s) = 2*s**3 + 2 - 5*s**2 - 3*s**3 + f*s**2. Give l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 17. Let l be 3*((-112)\/a)\/(-2). Suppose 0 = -4*i - 3*d + 47, 7*i - 4*i - l = 2*d. Calculate the remainder when i is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24322 rounded to 2 dps?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n + 33. Suppose 1109*q + 1230 = 1355*q. Give j(q).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 12 + -4 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 7. Let j be r(5). Is 24 a factor of 101\/2 - 1\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.6993619 to two dps.\nAnswer: 25.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -3\/11, 2\/523?\nAnswer: 2\/523","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/3 - 20*a**4\/3 - 32*a**3 + 80*a**2\/3 + 400*a\/3 = 0?\nAnswer: -10, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371541 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*s = -296*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m - 25*m - 124*m**2 + 6*m + 7*m + 8*m - 2 as s*m + t + q*m**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 910663639?\nAnswer: 4259, 213821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Let u = 6 - 2. Let o be (-2)\/(-4) + 2\/u. Put y, o, -4 in decreasing order.\nAnswer: y, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 - 49746450*w + 206225773966875 = 0.\nAnswer: 8291075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 - -175.899. Let l = -0.137 + i. What is l rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*-10*(-3)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(2565\/(-990)))\/(6*-1*(-55)\/33)?\nAnswer: -11\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7907 is divided by 2151?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(4\/3))\/b*(b*b**(-4\/7))\/b)\/((b**(-16)\/b)\/b**(5\/3)) assuming b is positive.\nAnswer: b**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 787015169 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 6568 = 4*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203129874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**6\/24 - u**5\/12 - 6*u**2 - 12*u. Let q(n) be the first derivative of r(n). Factor q(d).\nAnswer: 5*d**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 289*p**3 + 4*p**2 + 122. Let m(n) = -145*n**3 - 2*n**2 - 61. Let j(y) = -9*m(y) - 4*v(y). What is the third derivative of j(b) wrt b?\nAnswer: 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3804413\/16 >= -237777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-3)*(-12 + 2 + -1). Let x = 7 - c. Differentiate -x*w - 27 - 13*w - 7*w + 13*w with respect to w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7775 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*g = 15, 4*i + 5*g - 1 = 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 25 = 19*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*j + 32 = 2*j, -3*d + 20 = -j. Is (-2)\/8 + 3354\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -19 + -2)*(-3)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18\/11 (b) 267 (c) -1 (d) 224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**8*p)))\/p**(-2\/3)*(p*p\/(p**(-6)\/p*p))\/p*p**(-1\/11) assuming p is positive.\nAnswer: p**(547\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(35)\/sqrt(7) - sqrt(5))*-6 - (sqrt(500) - (-3 + sqrt(500))*1)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g**2 - 26*g - 5. What is u(2)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-21)\/j)\/j**(16\/3) assuming j is positive.\nAnswer: j**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 - -23*6\/42. Solve -z - c*z = 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 6, s: 12}. Give prob of sequence hm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157101 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/585 and -67\/487305.\nAnswer: 487305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27287*g*p**3 + 96*g*p**2 - 9*g*p + g - 4*p**3 - 4*p wrt p.\nAnswer: -163722*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 180\/22 - (-28)\/(-154). Suppose 4*o - 3*g = -v + 26, 2*o + 3*g - 18 = 0. Suppose -5*t + 2*n = -10, 3*t + 0*t + 2*n = o. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1 + sqrt(153) + 0 - (sqrt(153)*1 + -4)) + (sqrt(153)*2 + 4)*-1))**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 116, 259, 470, 755?\n\"Answer: u**3 + 25*u**2 - u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7927447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 0.97 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429648 (base 14) to base 3.\nAnswer: 11020111222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101 - 1101000100110100?\nAnswer: -1101000101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 4659, 16374, 39339, 77304, 134019, 213234?\nAnswer: 318699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 86 (b) 0.5 (c) -2\/47 (d) -0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -14. Solve 4*o + f = -5*h - 26, 0 = 5*o + 25 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 8) to base 3.\nAnswer: -21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 292\/10591?\nAnswer: 292\/10591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -45*o + 60. Let k be p(-9). What is the greatest common factor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:46 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 25*y**3 - 160*y**2 + 305*y - 170 = 0?\nAnswer: 1, 2, 17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5562 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: Let s(r) = -r**3 + 348*r**2 + 2443*r + 14933. Calculate s(355).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*y + 7*y + 234. What is the remainder when (134\/(-2))\/(12\/(-23 - -11)) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -63*u + 92. Let x(n) = -249*n + 367. Let o(d) = -9*j(d) + 2*x(d). What are the prime factors of o(9)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6125577 - 6125577 + 71*k.\nAnswer: 71*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5998, -11999, -17994, -23977, -29942, -35883, -41794?\nAnswer: -47669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(2) + 2.\nAnswer: 2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*s**4*z - 11*s**3*z + 3*s**2*z - 38*s*z - 2*s + z - 15 wrt s.\nAnswer: -516*s**2*z - 66*s*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.01488 days in microseconds?\nAnswer: 3111685632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 - 163*l**2 - 156*l**2 + 477*l**2 - 158*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453973231 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: What is -238 divided by -7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((315\/80)\/(-7)*-4)\/((-27)\/144)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**3 - 17*s**2 - 26*s + 4. Let x(o) = 3*o**3 - 10*o - 4*o + 2 - 5*o**3 - 9*o**2 + 6*o**3. Let q(r) = -3*h(r) + 5*x(r). Give q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*g + 9 = 0, -5 = -5*g - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/6*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 592131 and 14973?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:09 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 1, 0.07119, -0.2, 0.1 in decreasing order.\nAnswer: 1, 0.1, 0.07119, -0.2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3123322 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -28. Suppose 0 = n*t - 3*d - 12, 3*t - 2*t + 2 = -5*d. Is 1*t - (-24 + -70) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - 0.1. Let f = -4.014 - -4. Let z = f - -0.114. What is the biggest value in z, 4\/9, c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 3. Suppose -3*z - j + 120 = 0, -2*j - 76 = -3*z + 44. Let q = -38 + z. Let i(w) = w - 1. Let k(b) = q*i(b) + f(b). Differentiate k(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/30 and 156\/90 + -2 + 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 25*o - 50. Let q be w(-27). Let k(i) = -2*i + 1. Give k(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*t = t + 155, 0 = -2*r + 2*t - 150. Let d be (r\/24*-3)\/(10\/20). Solve -d*y + 15*y = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121174.49692 + 121172. Let o = -2.366909 - k. Let c = o - 0.13. Round c to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 6*o + 11. Let g be b(6). Let m = 1 + 10. What is the highest common factor of m and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83\/7*(-235)\/(-15745)*-469.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78009 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-490)*(-30)\/(-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, 0, -125 in decreasing order.\nAnswer: 2, 0, -1, -3, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-28))\/((-12)\/8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*j**2 - 11*j**2 + 4*j**5 - 14*j**5 wrt j.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*g**4 - 236*g**3 + 12*g**2 - 1428553*g wrt g?\nAnswer: 1020*g**2 - 1416*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0*n**2 - 1\/6*n**4 + 0*n**3 + 0 - 6*n. Let p(h) = -h. Give a(p(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-10)\/(-80)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 9) to base 8\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17608350 is divided by 182?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-39)*20\/(-50).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-99)\/18 + 1\/2). Suppose 0 = -5*y + 5*z - 60, h = -4*y - 3*z - 54. Let n = y + 16. Solve 0 = -n*p - 12 + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmmz when four letters picked without replacement from {z: 3, m: 5, x: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955\/(-1337) - (-43118)\/7?\nAnswer: 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2 + x + 15. Calculate f(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*s - 124 = -194 - 404 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 190.515?\nAnswer: 57.1545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -165700 and -3.93.\nAnswer: -165703.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 42*j**2 + 2*j - 69. Let v be a(42). Solve 4*x = g - 4*g - 35, -2*g - v = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**3\/3 - 9*q**2\/2 - 8*q + 6. Let g be o(10). Let c be 0 + 2\/g - -4. Solve 0 + 5 = c*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99947\/24 + 4169. Let k = 21214\/9 - 2362. Find the common denominator of b and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**3 - 6*v**2 + 49*v + 260. Is g(-7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1608470 by 321694.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3726 (base 9) to base 8.\nAnswer: 5332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 964\/25?\nAnswer: 964\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y**2 + 9*y**2 - 9 - 3*y**2 + 12*y - 7*y**2. Let n be x(11). Let q(i) = 1 - 55*i + 54*i - i**n + 11*i**2. Give q(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6530, 12926, 19150, 25196, 31058, 36730, 42206?\nAnswer: 47480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -488 or -487?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03072 rounded to four dps?\nAnswer: -0.0307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*b**3 + 6*b**3 + 20*b**3)*(-2 + 1 + 8)*(-3 + 1 - 1) to the form c*b**3 + o*b + m + z*b**2 and give c.\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5734*k**2 + 22949*k - 52. What is a(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.9 * -0.2.\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03557, 1\/7, -0.1 in ascending order.\nAnswer: -0.1, 0.03557, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnhhvvvnhhhhh. Give prob of picking 3 h.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*b - 48*b = 24. Let h(l) = l**2 - 7*l - 9. Give h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -612*p**2 - 187*p - 187. Let f(k) = -13*k**2 - 4*k - 4. Suppose o = -4*y + 167, 0 = 3*o + 6*y - 9*y - 576. Determine o*f(t) - 4*x(t).\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2369861 is divided by 7650?\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -0.02362\nAnswer: 1.15738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4\/4 + 5*i**3\/3 + i**2 + 6*i + 1. What is the units digit of k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 - (7 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 34*o + 32*o + 0 + 0.\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:53 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*q**4 - 302*q**3 + 8*q**2 - 309469 wrt q?\nAnswer: 88*q**3 - 906*q**2 + 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*k*o + 20*g**2*z + g*k*o*z + g*k*o - 36*g*k - 2*g*o*z + g*z wrt k.\nAnswer: g**2*o + g*o*z + g*o - 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*m**2 + 8*m**2 + 3*m + 2*m**3 - 1 + 5*m**2 - m**3.\nAnswer: (m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(833)*5 + -4 + 0).\nAnswer: -420*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30296, 61654, 93026, 124418, 155836, 187286?\nAnswer: 218774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160044 + 160044 - 10*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26905513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w = 0. Suppose 0 = -3*j - 3*n + 12, -3*j + 2*n + 7 = -w. Solve z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 4, e: 2}. Give prob of picking 1 e and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 - n + 8. Let d be f(4). Suppose 30 = -d*p + 10. Let y be 1 - p\/5*-4. Let m(g) = -g**3 - 3*g**2 + 3*g - 2. What is m(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n + 2*n + 5*n + (-2 - n + 2)*(-1 + 2 - 3))*(-4*n + 4*n - n) + 0*n**2 + 0*n**2 + n**2 in the form d + m*n**2 + t*n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 57*r**3 + 5*r**2 + 3*r - 1. Let c be v(-1). Let z = -226 + 39. Let h = c - z. List the prime factors of h.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -12*z**3 + 119*z + 221*z**2 + 118*z + 48 - 44*z**2 = 0.\nAnswer: -1, -1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 21328*j\/3 - 6498956.\nAnswer: (j - 22206)*(j + 878)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 25*d - 460. Let v be t(19). Solve -11*z + v - 70 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 29. Let u(z) = z**2 - 9*z. Let c be u(q). Let w(s) = -s**3 - s**2 + s - 1. Calculate w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*c + 60, 107*v - 102*v + 67 = -3*c for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvvvvbvbzvvvvv. Give prob of sequence jvj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80658?\nAnswer: 2, 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -218.28 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 263956*k + 24008428.\nAnswer: -(k + 52882)*(5*k - 454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4479 + 4484. Solve u*o - 10 = -x + 2, 0 = -4*x - 2*o + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17\/3, -2\/9, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207750622 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 83*z + 679. Let q be c(90). Which is greater: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81101 (base 10) to base 13\nAnswer: -2abb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 8. Solve -x*k = -5*v + 29 - 4, -3*k - 15 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147, -213, -259, -273, -243, -157?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44721 + -0.4.\nAnswer: -44721.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 3\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3973255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 204*b - 128. Let u be a(0). Is u < -1416\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(242) + sqrt(242) + 0 - (1 + 1 + sqrt(242)))**2 + 3.\nAnswer: -1473 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3 + -2)\/(-1). Solve 1 = -l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/11 + 37\/165. Suppose -a = 3*x + 6, 4*a = x - 0 + 2. Let z = 0 + a. Put i, z, 2\/5 in descending order.\nAnswer: 2\/5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2 - -5)) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783*f - 893*f = 689*f - 201 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 10, 1\/5, 1.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2769859*m**3 - 4019684*m**2 wrt m?\nAnswer: 16619154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 14*k - 5. Suppose -530 = -5*p + 5*g, -5*g + 21 = 1. Let x = p - 117. What is a(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2202 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8080\/(-352) + 23)\/((-1)\/2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -454 + 229. Suppose w - 4*w + 132 = 0. What is the remainder when w is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2 - -1) + 138. Suppose -b = -4*b + 15. Suppose -49 = -b*a + j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382791 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g - 13*g - 3*g)*(-3*g + 5*g - g + (-2*g + 0*g + 3*g)*(6 - 2 - 2) + 2*g - 3*g + 2*g).\nAnswer: -112*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 15*t**2 + 15*t + 16. Let m be x(16). Suppose m = 5*a - 2*i - 2, -4*a + 5*i = -3*a - 5. Which is smaller: -2\/241 or a?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose -o*i = -5*a + 2*a + 378, -252 = -2*a - 4*i. Let n = a - -23. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -422 - -29964\/71. Let c = 278\/213 + m. Find a such that 4\/3*a**2 - 2\/3*a**5 - c*a**4 + 2\/3*a + 0 + 0*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*i**2 - 68*i + 68*i)*((6*i - 3*i - 2*i)*(3*i - i - 4*i) + 0*i**2 + i**2 - 2*i**2 + i**2 + 3 - 3) as c*i**4 + o*i + s + t*i**3 + l*i**2 and give c.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 9*y - 29. Determine s(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40, -3, 5, -4\/13, -1, 9, -1\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 6. Let n(v) = -v**3 + 18*v**2 - v + 17. Let t be n(18). Let i(u) = u - 1. Determine t*a(q) + 4*i(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-8)\/(-30)*5. Calculate the common denominator of d\/(16\/(-41)) + 2 and -59\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181507?\nAnswer: 19, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2088105 and 535?\nAnswer: 2088105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, 1 l, and 1 w when four letters picked without replacement from levzzvvwzzl?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:37 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40023 is divided by 405.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.8, 4, -2\/3 in increasing order.\nAnswer: -2\/3, 4, 5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 454*u - 423*u - 236 = 0, 5*u = 4*i + 56 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 2 l when four letters picked without replacement from {k: 1, l: 3, p: 1}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 9*(-352)\/(-594)*(-3)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3164 divided by -452.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 5*n - 156. Suppose 9*v = n*v - 516. Does 42 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216178 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6552 and 785005.\nAnswer: 785005.6552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 31066124.\nAnswer: 372793488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 5*u + 0*u + (4 - 2 - 4)*(8 - 8 - u) - u - 2*u + 2*u)*(-3*u + 2*u**2 + 3*u) to t*u**3 + o*u + z + w*u**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/9 and (2\/7)\/((-3)\/266).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5142790 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147280, 147278, 147276?\nAnswer: 147274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305 is divided by 102.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4447, 8699, 12951, 17203, 21455?\n\"Answer: 4252*m + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5189 * -0.5091\nAnswer: -2641.7199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11\/14 + -9\/7. Which is the fourth smallest value? (a) -0.3 (b) 0.3 (c) -1 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/8337?\nAnswer: -1\/8337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 1 + -435 + 426\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, g: 2, o: 3, c: 3}. What is prob of picking 2 m and 2 c?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 1528*o + 16679. Let f be h(-11). Put f, -24, 4 in decreasing order.\nAnswer: 4, f, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5132 + 391.4868. Are t and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1*(2 + -2). Let c(d) = -14*d**3 + 3*d**2 - 8*d - 18. Let p(l) = -5*l**3 + l**2 - 3*l - 6. Let i = 22 - 18. Let v(n) = i*c(n) - 11*p(n). Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-22)\/(-33))*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-80)\/360 - (-2)\/((-36)\/(-5602))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.08 + -52. Let u = -0.08 + w. Let h = 2 - 2.5. Which is the second biggest value? (a) h (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 3. Let w be 0 - x\/(-12)*-3. Are w and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 1. Let f(m) = m**3 - m - 5. Let j be f(0). Let k(c) = 12 + 3 - 4*c + 11 - 22. Give j*u(t) - k(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -1. Suppose 3*h - 23 = -5*b + b, h - 1 = -3*b. Let l = h + t. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*z + 738*q - 736*q, 16*q - 72 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -395*p**5 + 394*p**5 - 4 - 17 + (3*p**2 + 0 + 0)*(-3*p**3 - p + p) - p**5 - 2*p**5 + 5*p**5 + 0*p**5 - 3*p**5 + 4*p**5.\nAnswer: -7*p**5 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -20. Suppose -3*x = -l*x - 474. Suppose 0*z - z = 4*o - x, -o = -5*z - 50. What is the greatest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)*k**1)\/(k\/(k*k**(-2)*k))**23 assuming k is positive.\nAnswer: k**(-328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 68, 116, 182, 266, 368?\n\"Answer: 9*i**2 + 3*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3741*o + 3737*o = 5*a - 36, 20 = o + 4*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:12 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 3159?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 192 = 5*i, -3*i - 3*b + 8 = 107. Let t be (-12)\/i + (-1)\/(-3). Are t and -0.05 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 640.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.9756 rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 4, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-29)\/(-348))\/((-2)\/2*1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 36*r**3 + r**2 - 3*r + 1. Let i be f(1). Suppose -p + 83 = 4*u, 4*u - 33 - i = 4*p. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 568, -8, 2, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0047414 + -1.4452846. Let s = i + 1.45. Round s to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efrozrzfeeouzfr. What is prob of picking 2 o and 1 e?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11353 and 2020834?\nAnswer: 2020834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 738.093237 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 + -192. Let z = -311 + 325. Calculate the highest common factor of z and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/10 + (-1567728)\/(-90)?\nAnswer: 2, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 6*k + 15. What are the prime factors of h(-6)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*k = -k - 6, -9 = 2*q + 5*k. Let g = 444\/65 + -68\/13. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*f = 12, 0 = -2*f + 3 - 5. Which is bigger: h or 8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n + 185 - 312 - 104 + 19*n. Let g be l(9). Calculate the highest common factor of 132 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (47 - 47 + 8*m)*(3 - m - 3) + m**2 + 0 + 0 as u + j*m**2 + a*m and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 - 1\/20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1734295189433 from 148.\nAnswer: 1734295189581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96, -246, -396, -546, -696?\n\"Answer: -150*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10327*k + 64 - 10313*k - 112 + 48.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82834.22 hours to microseconds.\nAnswer: 298203192000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let x(t) = -t. Let c be x(m). Let y be 0 - 1\/(-1) - c. Solve -2*b - 3*z + 26 = 5, y = -b - 2*z + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-3 + 4 - 2) + 34*c - 4*c - 479 + 483.\nAnswer: 28*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87540.82 millilitres to litres.\nAnswer: 87.54082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 39*p**4 + 80*p**3 - 308*p**2 - 16*p = 0.\nAnswer: -4, -2\/39, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1 + 5*z - 1 + 1 - z**2. Let y be o(6). List the prime factors of (-21)\/y + 2\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttbb when four letters picked without replacement from btbbbbbtttttbtbbbtt?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 233972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -11) + -23 + 25 + -22 + -1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487199 at least 1487168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b - 13c725?\nAnswer: -13c6ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 86552 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -23733247?\nAnswer: -7\/23733247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**2\/2 - 14. Suppose 3 = -3*v + 9. Let i(w) = -2*w**2 + 3*w**v - 8*w**2. Determine i(u(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + -0.99. What is the nearest to k in 4, 2\/11, 3\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/(-295))\/((-2)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 4*q**2 + q + 4. Let z be o(-2). Let t(c) = -c**3 - c**2 + 4*c + 3. Let b = -11 - -9. Let g be t(b). Sort -8, g, 1, z in descending order.\nAnswer: z, 1, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 6.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, 109, 2, 439, 4 in descending order.\nAnswer: 439, 109, 4, 2, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) 0.978 (b) 16 (c) 2\/15 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 4, v: 1, w: 6}. Give prob of picking 2 g and 1 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/693983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (371*k**2 - 316*k**2 - 174*k**2)*(4 + 10 + 1)*(6*k**2 - k**2 - 10*k**2) as w*k + a*k**2 + x*k**3 + g*k**4 + c and give g.\nAnswer: 8925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -63. Factor -6*n**4 + 6*n**2 - 4*n**3 - 3*n**p + 3*n**3 + 5*n**5 + 3*n**3 - 4*n.\nAnswer: 2*n*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 f when three letters picked without replacement from fffuueffv.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 19 + 28 - 9. Let j(h) = h**2 - h. Let c(g) = -5*g**2 + 11*g. Let o(t) = -c(t) - 3*j(t). Give o(f(i)).\nAnswer: 8*i**4 + 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1888 = -13*o. Suppose 14*m - 1966 = -o. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -64, -3\/2 in increasing order.\nAnswer: -64, -5, -3\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 36, -3, -14, 0 in descending order.\nAnswer: 36, 3, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 309423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2537.37951 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 1000221211011?\nAnswer: 1000221210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:46 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.11683 * -0.1.\nAnswer: 0.211683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -36295\/38 and -954 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 9*z**2 - 7*z + 8. Let s be m(-8). Suppose -2*p - 213 - 1667 = s. Round p to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1 + 0.045.\nAnswer: 4.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 28*a - 37. What is the hundreds digit of h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -7\/61?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8311 divided by 858\nAnswer: -8311\/858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Suppose -2*t + 5*t - 42 = 0. Calculate the smallest common multiple of (-2)\/(21\/(-9) - o) and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12220000 to the nearest 100000.\nAnswer: -12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*t = -266 - 2590 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 46.3. Let j = -5.9 + 6. Which is the nearest to -0.03? (a) -1\/5 (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(132)*-1 - sqrt(132)) + sqrt(132) - sqrt(132)))\/(sqrt(96)\/sqrt(8)*3) + -1)**2.\nAnswer: -4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (-5 + sqrt(4)\/sqrt(2)) - ((sqrt(128))**2 + -1) - ((-6*(sqrt(320) + sqrt(20)))\/sqrt(10) + -5)**2.\nAnswer: -1947 - 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/(14875\/200))\/((-22)\/(-385))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 + x**2 + 3*x + 2. Let r(g) = g**2 + g + 1. Calculate -3*r(j) + s(j).\nAnswer: 5*j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 1774168.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 54. Solve 0 = 30*k - g*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372596551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-505)\/(-130))*8\/(-6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 3*c**3 + 5*c**3 + (c**3 - c**3 - c**3)*(-1 + 1 - 3) - 2 + 2*c - c**3 - 2*c.\nAnswer: 10*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -1\/5, 23, -3\/2, 0.01, -0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -0.1, -246, 0.26, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (444\/(-185))\/((3\/5)\/(14\/(-7))). Calculate the highest common divisor of p and 11912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.3575 grams in kilograms?\nAnswer: 0.0863575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 883003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505143 (base 8) in base 14?\nAnswer: 4496b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 1) + 16 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61953.89mg in kilograms?\nAnswer: 0.06195389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2\/11, -0.0268, 4\/3?\nAnswer: -0.0268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 6. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 133*g + 106. Let c(f) = -4*f**2 - 120*f + 106. Let j(k) = -6*c(k) + 5*d(k). Factor j(a).\nAnswer: -(a - 53)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) -0.5 (d) -4522\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23752138 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1902, -52.\nAnswer: -1902, -52, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -113, -226, -339?\n\"Answer: -113*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780257 + 48?\nAnswer: 2780305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 4*a - 9. Is x(-9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29213.94 millennia?\nAnswer: 2921394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-8))\/(2\/36). Let d(o) = -o - 4. Let j be d(k). Suppose -l + 38400 = -j*l. Round l to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 15\/5 - -4. Let j = -9974\/15 - -120673\/180. Let a = j + -21\/4. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323442 (base 6) to base 13.\nAnswer: c22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1*h*h)\/h*h\/(h*h\/(h*(h**(-9)*h*h)\/h*h))*h*h\/((h**7\/h)\/h)*h*h\/((h**(-2)\/h)\/h) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/((-3)\/(-8)). Solve z - 5 = -y + 3*z, 2 = -x*y - 3*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 9*r + 8*r - 10*b = 22*r + 20, 0 = -4*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 0.3 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, -2\/5, 5 in descending order.\nAnswer: 5, 2, 0.4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283320297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1. Let h be (-396)\/63 + (-4)\/(-14). Let z(m) = 485715*m + 2. Let d(w) = h*f(w) + 2*z(w). Let o be d(-7). What is o rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d - 4, -b + 4*d - 7 = 0. Let v = -384\/7 - -55. Let h be (84\/(-70))\/((-28)\/(-10)). Put v, h, b in decreasing order.\nAnswer: v, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.29, 9\/557 in ascending order.\nAnswer: -2\/9, 9\/557, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*q + 3, -5*v - 3*q = -q - 21. Solve 0 = f + 2*u + 12, -2*u = -4*f + 5 - v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 2.4, 0.87, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -4*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + n = 27168, 94*o - n - 21738 = 90*o. Does 46 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*l + 26*l - 11*l)*(-4 - 7 + 5)*(-l + l - 2*l).\nAnswer: 792*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11515233 is divided by 2878779.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 163*l + 9662. Determine d(-59).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 383 (base 9) to base 14\nAnswer: 18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/5)\/n)\/(n**(-1\/10)\/n))**(2\/21)*(n*n*n**(-1\/4)*n\/(n*(n\/n**(1\/5))\/n))\/(n**(1\/11)\/n**(2\/5)) assuming n is positive.\nAnswer: n**(1447\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 85*z - 34. Let k be o(-28). Let w be (-48)\/k - 8\/2. Solve d = -w*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*p + 12 = 204*p. Put -14, p, 7, 0, 5 in decreasing order.\nAnswer: 7, 5, p, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-16))\/(2\/8). Solve f*c = -3*t + 35, 2*c + 9 = t + 3*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) 1 (c) -0.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 392322960 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(243))**2*5 - ((sqrt(3) + 1)*-6 + (sqrt(96)\/sqrt(4))\/sqrt(8)))*1.\nAnswer: 95*sqrt(3) + 1226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -0.17. Let o = -0.26 - t. Which is the smallest value? (a) 0.2 (b) o (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 26*d**2 + 28*d + 25. Let n be t(-27). Let p be (-2)\/10*93\/18. Let c = 9\/10 + p. What is the smallest value in n, -1\/5, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 596*x**2 + x + 6. What is the remainder when y(-1) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/5 - (-392)\/70. Calculate the greatest common factor of 3 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -121*c**3\/6 - c**2\/2 - 2*c. Let u be j(-1). Suppose -2*s + u = 3*s. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b**2. Let u(s) = 7*s**2 + 2. Give u(d(n)).\nAnswer: 252*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.38 rounded to the nearest integer?\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22121112220021022 - -10?\nAnswer: -22121112220021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144*d**2*l**3 + 2967*d**2 - 26*d*l**3 - 4*l**3 + 8*l**2 + 2*l - 168880 wrt d.\nAnswer: -288*d*l**3 + 5934*d - 26*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l**(-5)))\/l)\/(l*l*l*l\/(l*l**5)))**(1\/6))**(-10) assuming l is positive.\nAnswer: l**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*l + 3 = 0, m - 6*l - 25 = -l. Suppose -m*x + 66 = x. Suppose 0 = -2*h - 0*h + 4. Solve -8*s + 2*o + x = -3*s, -h*s = -5*o - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 7, 1142, 9 in ascending order.\nAnswer: 4\/5, 7, 9, 1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/15)\/(60\/50)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2165489008.\nAnswer: 2, 23, 255847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 5 - 5)*(5227*x - 5227*x + 204*x**2) + (4 - 4 - 2)*(3 + 1 + 1)*(0 + 2*x**3 + 0) in the form u*x + m*x**3 + y*x**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989.6477 - 7.\nAnswer: -996.6477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 0 - ((-488)\/12 + (-28)\/(-42)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -289*q**2*v - 4*q**2 + q*v + 1180*q - 13*v + 3 with respect to v.\nAnswer: -289*q**2 + q - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 219 + -221. Is 31 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.3 (c) -13 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17382033)\/405)\/(3\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1397263970 and 11525?\nAnswer: 1397275495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3768.6 + -3769. What is the biggest value in 1\/5, 8.1, z?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-2)*n*n)*n)**(-2\/9))**(-9\/8) assuming n is positive.\nAnswer: sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j. Let x(n) be the first derivative of 5*n**2\/2 + 8. Calculate x(f(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*b = -31 + 154, 10 - 81 = -3*t - 4*b for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 + 19*z - 109. Let f be n(5). Let l = -332\/3 + f. Suppose 10\/3*y - l*y**2 - 25\/3 = 0. Calculate y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 63 = 24. Let h = -1 + 5. Let t = y - h. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*u = 489*u - 215. Suppose d = 6*d - 215. Is u at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 8*c = -4*o + 4, -5*c = o - 21. Solve 6*g + 4 = c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 7 - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 - 10010?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1920352870?\nAnswer: 2, 5, 192035287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1090901085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 143680047 to the power of 1\/2, to the nearest integer?\nAnswer: 11987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0563645 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:23 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*x**4 - 2 + (5 - 91 + 4)*(-7*x**4 + 9*x**4 + 6*x**4) - 2*x**4 + x - x to r*x + k + l*x**4 + y*x**3 + b*x**2 and give l.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1994 (base 11) in base 10?\nAnswer: -2523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000854 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y**2 - 827*y**3 + 829*y**3 - 73*y**2 + 98*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1790, -14747, -27692, -40619, -53522?\n\"Answer: u**3 - 12964*u + 11173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/7 - (5 - (-216)\/(-42)). Let t(x) = x**2 - x + 1. Let o(g) = -g**3 - 2*g**2 + 2*g - 2. Calculate s*t(l) + o(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48873955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15717 and 43059.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/52969 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1865 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2401, 2376, 2313, 2194, 2001, 1716?\n\"Answer: -3*j**3 - j**2 - j + 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73.79 - -48.5. Let p = -25 - y. Let i = p + 0.01. Put 1\/2, i, 3 in decreasing order.\nAnswer: 3, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 4039*y - 1 + 5.\nAnswer: -4039*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(880))\/(2*sqrt(539)))**2.\nAnswer: 80\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*d**3 - 31828446 - 31828455 + 63656901.\nAnswer: 446*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/((v*v**(-1\/14))\/v*v))*v)\/((v*v*v**31*v)\/v*v)*v*v**17*v*v**(-3\/13) assuming v is positive.\nAnswer: v**(-2603\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -81 + 0*r + 237 + 111 - 166*r + 73 - 2*r**2 = 0?\nAnswer: -85, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2) - (1 - 9\/6). Suppose z*p - 4*g = -2, 0 = 2*p + 5*g - 15 - 10. Calculate the lowest common multiple of p and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 - 1 + 2 + 1123*l - 1118*l. Let f(t) = -7*t**2 + 6*t + 1. Let o(b) = b**2 + 0*b + 5*b + 6 + 0*b**2. Let k be o(-5). Calculate k*r(j) - 5*f(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -570 + 583. Let j be a\/(-195)*(-5)\/68. Is 2\/5 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 5*b**4\/24 - b**3\/2 + 5*b**2. Suppose -22 = -2*p + 22. Calculate the least common multiple of z(5) and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = f - 3*f + 131, 2*p - 322 = -4*f. Let i = -65241\/14 + 4666. Calculate the common denominator of i and (f\/36)\/(10\/(-6)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 2*a**2 + 3*a + 6. Let v be l(-2). Let w(x) = -x**2 - 27. What is w(v)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + 0.03. Let v = 0.173 + 110.827. Let j = 107 - v. Which is the fourth smallest value? (a) s (b) 5 (c) 2\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141695744 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*c - 7261 = -1497 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 3*l - 3*l**2 - 4*l - l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-336)*12)\/(3\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 2*sqrt(84))*-1 + sqrt(84))\/(sqrt(48)\/sqrt(36)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1.1. Let y = -0.8 - -1. Let u = y - n. What is the biggest value in u, 3, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 59 - 2*y**3 - 33 - 2*y**2 + y**2.\nAnswer: -2*y**3 - y**2 - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 5. Let o be t(5). Suppose o = -s + 2 + 1. Let q(i) = i**3 + i**2 + 3*i - 1. List the prime factors of q(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/3 - 2012*z**3\/3 + 167536*z**2\/3 - 1398892*z + 10240230 = 0.\nAnswer: -1085, 13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/156 and 67\/150.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0677 * -16.\nAnswer: -1.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261 and 0.09.\nAnswer: 261.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.098? (a) -2\/9 (b) 2\/39 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 15 = 0. Suppose v = -5*r - 62. Let l = -13 - r. Solve l*z + 1 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -21.9999712. What is x rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15393947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 22*z - 220. Let v(t) = -2. Give 2*c(y) - 220*v(y).\nAnswer: 44*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -937*x + 927*x + 46810 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1 + 1)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15472, -15479, -15486, -15493, -15500?\nAnswer: -15507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*k - 62 = 0, 2*v + 2*k + 22 - 36 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30226569 or 30226572?\nAnswer: 30226572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 6 - -2) + -2 + (-1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484682*m + 486025*m - 970705*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3 - 360876*a**2 + 6987*a - 69 wrt a?\nAnswer: 18*a - 721752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/((-546)\/12) + (-435)\/(-39). Sort 2, p, -1\/2 in ascending order.\nAnswer: -1\/2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -4 (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2695 = -73*z + 68*z. Let w = z - -610. What is the remainder when w is divided by -2 + 1 + 20\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = u - 63, 3*u - 6*u = 3*y - 171. What is the second derivative of 54*o + 2 + u*o - 105*o + 42*o**4 wrt o?\nAnswer: 504*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1344 and 143\/150522.\nAnswer: 33716928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -38 (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 240\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.4 plus -0.432?\nAnswer: 34.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*q**5 - 4*q + 36 wrt q.\nAnswer: 540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b**3 + 39*b**2 - 83*b + 32. Let v(k) = -8*k**3 + 13*k**2 - 29*k + 11. Let g(n) = 17*v(n) - 6*w(n). Give g(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309 + 63735881\nAnswer: 63736190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 174615894.\nAnswer: 1222311258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/20)\/((-6)\/9*225\/(-300))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 1\/4, 30, -18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkpud. Give prob of picking 1 k, 1 u, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 5*y + 1. Let h(d) = 116*d - 50*d - 3*d**2 - 2 - 60*d. Let t(q) = 3*h(q) + 4*i(q). Let r(o) = o**2. Calculate -6*r(w) + t(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -832 less than -1663\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035499003 - 0.62?\nAnswer: -0.655499003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**2 - 4*l**2 - 4*l**2 + 10*l**5 + 4*l**2 wrt l.\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 29*w + 12*w + 9*w - 109.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - b**2 - 60 - 61 - b + 11*b**3)*(2 - b - 2).\nAnswer: -11*b**4 + b**3 + b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-76)\/(-10) - 5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19843, 0.5, -0.5?\nAnswer: 19843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**7\/42 - d**4\/6 - 3*d - 3. Let a(b) be the first derivative of c(b). Find the third derivative of a(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -30. Let z(h) = 14*h - 1. Let n(v) = 7*v - 1. Let d(l) = a*z(l) - 7*n(l). Let x(i) = 8*i - 5. Determine 5*d(w) + 4*x(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 138. Let y be (-4 - (-8)\/((-4)\/(-4))) + s. Do y and 131 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6847*u**5 + 7956*u**2.\nAnswer: 410820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 3416*t**2 - 3388*t + 20472.\nAnswer: -4*(t - 2)*(t + 3)*(t + 853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y + 4. Let s(q) = 2*q + 0*q - 2 + q. Let x = 382 - 386. Suppose 0*j - 35 = 5*j. Calculate j*s(h) + x*a(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*t - 4*t**2 + 42*t + 3 - 84*t + (-13*t**2 + 26*t - 26*t)*(1 + 3 - 2) to the form w*t + q*t**2 + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11551*b**3 - 3*b**2 + 3*b**2 + 4*b**2 - 11549*b**3 + 2*b - 137 - b**2 to the form c + x*b + y*b**2 + q*b**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 2 + (53 + 75 + -145 - (-33 - -2)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/138 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2555 divided by -935\nAnswer: 511\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 7*r. Suppose r*w = -4*w + 12. What is the second derivative of -w*o + 3*o + 3*o - 5*o**4 + o wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*d + 2)*(d**3 - 2 + 2)*(-2*d + 7*d - 2*d).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 69 + 72 + 65 + 68 - 280. Let m(j) = -2*j**2 - 132. Let n = -198 - -66. Calculate n*c(b) + 6*m(b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -87621, -84179, -80737, -77295, -73853?\n\"Answer: 3442*a - 91063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 = 32*v - 206. What is the remainder when 620 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160520*z**5 + 988599*z**2 wrt z?\nAnswer: -9631200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c - 25 - 7*c + 66. Let d be g(-7). Let y = 9\/17 + -201\/187. Which is greater: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -55, -66, -81, -100?\n\"Answer: -2*g**2 - g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -862, -797, -734, -673, -614, -557, -502?\n\"Answer: -f**2 + 68*f - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 887, 880, 865, 836, 787, 712, 605, 460?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -4*s**4\/3 + 86*s**3\/3 - 126*s**2 - 1452*s. Solve m(x) = 0.\nAnswer: 7\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -5, -2\/7, 11622?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(0*k - k - k) - 6*k + 2*k + 2*k + 0 - k + 0)*(0 - 1 - 2).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 0.06 (c) 174 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -15*w**3 - 6*w**2 + 7*w + 7. Let m(s) = 23*s**3 + 8*s**2 - 10*s - 10. Determine -5*m(l) - 7*y(l).\nAnswer: -10*l**3 + 2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598872 is divided by 1931.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 244*b - 5140*b**2 - 1 + 10250*b**2 + b**3 - 5112*b**2 as h*b**2 + n*b**3 + u*b + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 137, 192, 265, 356, 465, 592?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + 1 + 6 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 30 = -5*v + 47, -c + 2 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.4 (b) -1\/8 (c) 1.65 (d) 2 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 + 7*s + 7. Let y be 2\/9 - (-156)\/27. Let v be -2*7*3\/y. Let m be j(v). Calculate the highest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*y + 3*y - 9*y - 20*y**5 wrt y.\nAnswer: -400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-4)\/(-8)*-4)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 0*u + u)*(-3*u + 0 + 0) + (1 - 1 - 3)*((3*u**2 + 0*u**2 - u**2)*(-7 + 4 - 3) - u**2 + 0*u + 0*u).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 621120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 187728980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(-3 - 2 + 3) - 2 + 5 - 4)*(f**2 - 2*f**2 + 3*f**2).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*c - 2 = 95*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3\/2 (c) -26.7 (d) -106.1 (e) -2\/7 (f) -0.2 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149839\/5 + -29967. Factor n*y + 1\/5*y**2 + 3\/5.\nAnswer: (y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**4 - 6*x**4 + 33*x**4)*(-1 + 0 + 2)*(-20 - 12 + 19) as h + t*x**3 + a*x**4 + r*x + p*x**2 and give a.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -15*(-4)\/10 + 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 2261 = 11*v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 2*a + 24 = 0, 5*m = -a + 68. Suppose m*u = -2 + 30. Calculate the lowest common multiple of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.012 and 2123425.\nAnswer: -25481.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2\/4*-1). Let m = -120 - -124.96. Let h = 3.96 - m. Put k, -3, h in decreasing order.\nAnswer: h, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -2.6.\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2\/9*16\/(-4)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*g + 22, 4*v - 4*g - 20 = 12. Let y = v - 4. Let 6 + y - 3*z**2 + 3 + 3*z - 4 = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*o**2 + 244*o**2 - 116*o**2 + 4*o - 4*o.\nAnswer: 43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {s: 2, z: 1, v: 1, g: 1, u: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 105, 228, 439, 768, 1245, 1900, 2763?\nAnswer: 3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1832*s + 11 - 11.\nAnswer: 1832*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 129, -2\/67, -1, -15\/49 in descending order.\nAnswer: 129, -2\/67, -2\/15, -15\/49, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -0.048321.\nAnswer: 0.058321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 185\/462 and 53\/391314?\nAnswer: 391314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 754 and -1.2?\nAnswer: -904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 + -9973679.\nAnswer: -9973740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320b37 (base 13) to base 6.\nAnswer: 41050042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 7*h**2 - 12*h + 1. Is q(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 12:35 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4093128 times 3\nAnswer: -12279384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2\/17 (c) -154 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-52)\/(-65))\/((-2)\/(-30)) and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 8*l**4 - 24*l**4 + 12*l**4 + 3*l**4 - 21*l**2 + l**3 to p*l**2 + z*l**3 + h*l + o + d*l**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttfptffffffpf. What is prob of sequence tf?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*b + 86, y - 82*b - 59*b + 135 = -219*b + 70*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*l + 845 - 5109, -4268 = -5*v - 4*l. Let b = -852 + v. Suppose 0*d + 1\/6*d**2 + 3\/4*d**3 + b + 1\/3*d**4 = 0. Calculate d.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53720 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5 + 1288*h**4 + 29514*h**3 - 137016*h**2 - 1891512*h - 1726272 = 0.\nAnswer: -24, -6, -1, 9, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(1053\/(-534) - -2). Let s = -142 - p. Let q = 6 + -8. Which is the third biggest value? (a) -5 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from unnlunnl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106999431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -2, -6, 0 in descending order.\nAnswer: 1, 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6255? (a) -8 (b) -2 (c) -1\/3 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16665*o**2*z + 2883*o**2 + 18*o - 2*z**3 - 7*z with respect to z.\nAnswer: -16665*o**2 - 6*z**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3342170 (base 9) to base 6\nAnswer: 102322100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*d - d + 5 = 0, 2*u - 24 = -4*d. Suppose 0*m + 46 = u*m. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4) - -2)*(-976)\/305. Put c, 1, 5 in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/((-1)\/5*(-245)\/245).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10674831 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a6 + -3?\nAnswer: 5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 10*w**2 + 23*w + 6. Let g be m(12). Which is smaller: g or -45\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44459\/9488 - -1\/593. Let f = 55 + -67. What is the common denominator of f + 8 - (-123)\/(-108)*-2 and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - -5.04. Let x = 1 - n. Let c = x + 4. Does 2\/5 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/3 - 80*c - 13. Let g(x) be the first derivative of a(x). Let j(y) = 15*y. Calculate j(g(v)).\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1218 and 348?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 19*w + 0*w - 14*w + w**2 - 34. Let a be s(-9). Factor -81\/5 - 19\/5*h**a + 99\/5*h + 1\/5*h**3.\nAnswer: (h - 9)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, i: 9, n: 8}. Give prob of sequence ik.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20994.\nAnswer: 2, 3, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/10*(-80)\/(-24). Let v = -12 + 44. Let d = v + -28. Sort d, q, 5 in increasing order.\nAnswer: q, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 35320*c**2 - 566144*c.\nAnswer: 4*c*(c - 8846)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1505 and 11137.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20*38\/(228\/18)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 v when four letters picked without replacement from {g: 3, v: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11621, 46807, 105455, 187565, 293137, 422171?\n\"Answer: 11731*v**2 - 7*v - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 0 - (-2 - 2). Let p = -2.9 + -0.1. Let o = -5 - p. Sort -2\/7, o, n.\nAnswer: o, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 154*d**2 + 3*d - 72. Let v(l) = -39*l**2 - l + 17. Determine -3*g(h) - 13*v(h).\nAnswer: 45*h**2 + 4*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 616 - 6?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 385. Suppose 2*x = -4*s - 58, 11*x - 3*s + 119 = 6*x. List the prime factors of i(x).\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -5\/7?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/117 and -74\/165?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538304489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 432\/5 in 4, 4\/7, -3, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396))*1 + ((sqrt(99) + -1 + sqrt(99))*4)**2 + 1.\nAnswer: -186*sqrt(11) + 6350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3 (c) 0.07 (d) -458\/5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5015, 5869, 6731, 7607, 8503, 9425?\nAnswer: 10379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 16. Let b(g) = g + 21. What is b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**3 - 4*j**2 + j - 1. What is the tens digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - -113. Calculate the greatest common divisor of 204 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2)*(-150)\/(-100).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.7745951 rounded to 2 decimal places?\nAnswer: 113.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 21. Suppose j = 5*j - d. Suppose -l - j*l = 0, 0 = -4*w - 2*l. Solve 17 = 3*r + 2*h, 4*h + w = 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -302, -26 in decreasing order.\nAnswer: -7, -26, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -7\/4, -5, 2, 10\/3353?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 24.082?\nAnswer: -9.6328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 108\/(-8)*(-16)\/(-6). Let z = 40 + h. Solve z*c - 8*c = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c9c9 (base 13) in base 10?\nAnswer: -85172","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1971 - 237. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2 + 110179*b**2 + 1 + 3 + 3*b - 110181*b**2. Let i(v) = -3*v**2 + 1. Let q be i(1). Determine u(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 6*m + 16. Let c be j(2). What is the nearest to c in 7, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*x = 11, 4 = -3*h + x + 13. Suppose r - 6629 = -3*b + 5*r, -5*b = h*r - 11005. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o + 1. Let z be m(6). Let g = z + 53. Let t be (-561)\/g*14\/(-7). Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 277550.\nAnswer: 1665300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/4 (b) 0 (c) 96 (d) 79 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*f + 3 = -1164*f + 587*f, 0 = -v + 3*f - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6625.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/11 + 212*q**3\/11 - 1506*q**2\/11 - 25480*q\/11 + 19400 = 0. Calculate q.\nAnswer: -11, 10, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d*o**3 + 11*d*o**2 - d*o + 99*o**4 + 18*o**2 + 3*o wrt o?\nAnswer: -78*d + 2376*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61532371 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 12\/7*h**3 - 2\/21*h**6 - 3\/7*h**4 + 0*h**2 - 11 + 0*h - 4\/7*h**5. Determine q so that x(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**4\/3 - 1046*t**3\/3 - 61242*t**2 - 11073730*t\/3 - 41421736\/3 = 0?\nAnswer: -173, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/3 and 89\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s + 59*s = 13*s + 3*s + 152 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -k - 1823, -2*k - k - 5478 = -3*i. Let b = -5173 - k. Let n = b + 2168. Round n to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48454, -96915, -145376, -193837, -242298?\nAnswer: -290759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 122, 135, 152, 173, 198?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 194.5. Which is the closest to 1\/4? (a) o (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y - 4*y**3 + y**2 - y + y. Let w be j(-1). Suppose 4*q + 3*d = 6*q + 11, -5*d = w*q - 35. Solve -2*h - 4*f = -10, 17 = -4*h + h + q*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16504 - 11?\nAnswer: -16515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2078, 4156, 6246, 8354, 10486?\nAnswer: 12648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -21*p**2 + 75*p. Let w(n) = 4*n**2 - 15*n. Calculate 2*v(k) + 11*w(k).\nAnswer: 2*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37964 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let g(b) = -44*b + 70. Let l be g(9). Let k = 325 + l. What is the nearest to k in 0, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 539.7 (c) -64\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 3237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1746 and 35114?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851859.\nAnswer: 1851859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331*p - 4*p**3 + 323*p - 1 - 601*p to the form v + g*p + x*p**2 + q*p**3 and give g.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 divided by -1534?\nAnswer: -391\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*b - 0*k + 24, -2*b = -k - 5. Suppose -b*v = v - 20. Let z(d) = 3*d - 2. Let r be z(v). Solve -o - 5*w - r = -1, -5*o + 3*w = 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*j - 23 + 21 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 76 = 6*d. Let s(x) = 17*x - 11. Let c(w) = 9*w - 6. Let z(v) = -7*c(v) + 4*s(v). What is z(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*m + 5. Solve -5*f - 2*x + 6*x - 24 = 0, 4*f + m = -3*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15372.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 54 = 2*o, 867*j + 7 = 5*o + 864*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 0*q + 636113*q**2 + 3*q - 638798*q**2.\nAnswer: -2685*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 - 16\/20. Let k(u) = -73*u - 572. Let c be k(-10). List the prime factors of v\/(-2)*0\/5 + c.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and 11\/457.\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8902 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {d: 1, o: 2, s: 1, r: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 + 192672*q\/5 - 4640312448\/5 = 0. What is q?\nAnswer: 48168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 60*j**2 - 16*j + 12. Determine o(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.5, -19\/6, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5244 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57947445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -15*m + 90. Which is bigger: 1\/95 or m?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34602?\nAnswer: 2, 3, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622467804.\nAnswer: 2, 11, 17, 3505973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35741, -35787, -35833, -35879, -35925, -35971?\nAnswer: -36017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 11.3.\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 268 = -98*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86 - -691\/8. Which is the third smallest value? (a) 22 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944615554 to the power of 1\/3, to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiisiiissi. Give prob of picking 1 i and 3 s.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.903004 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17284, -33946, -50608, -67270, -83932?\nAnswer: -100594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 139*v - 7108. Let n be m(65). Calculate the highest common factor of 41 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t + 4. What is the smallest common multiple of 31 and a(2)?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23983, 47956, 71929, 95902?\n\"Answer: 23973*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1846 - 6*j + 1013 + 932)*(-4 + 0 + 3) to the form t*j + k and give k.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiiw when four letters picked without replacement from {o: 4, i: 4, w: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 199797?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 8*m**2 + 7*m - 2. Let l be v(-9). Let d be (l\/5)\/((-7)\/(-70)). Solve 3*f + 2*g - 3*g + 8 = 0, -4*g = 4*f + d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*b - 5 - 15 = 0, 0 = 4*x + b - 22. Let y be (-7 - -1)\/(3 - (-39)\/(-12)). List the prime factors of (3\/x)\/(4\/y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 6. Let i be 0*(3 + -4) - 6. Let n(m) = -5*m + 11. Suppose d - 32 = -3*t, -3*d + 689*t - 687*t + 19 = 0. Calculate d*r(g) + i*n(g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 4. Let t be a(3). Calculate the remainder when 20 is divided by -22*(3\/(-2) - t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60878038 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/120*2\/(-102)*-1.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 123. Let m be 15\/(-120)*-108 - 2\/4. Suppose -5*h + m = -g. Solve 5*v + h = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.2 < 24.981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -4, 4, -2, 84553 in descending order.\nAnswer: 84553, 7, 4, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.93 + 0.07. Let d = 967 - 966.8. What is the closest to -1 in m, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23954 and 3159780.516?\nAnswer: 3183734.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 753, 592, 325, -48, -527, -1112, -1803?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*c**2 - 268*c**2 - 319*c**2 - 35*c**3.\nAnswer: -35*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6) - (4 + -3). Let r = -205 - -1023\/5. Which is the closest to 8? (a) r (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.7, 1\/5, 400?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1165*a**3 - 1343*a**3 + 2*a**2 - 59*a**3 - 404*a**3 + 2*a + (4*a - 3*a - 7*a)*(-a**2 + 0*a**2 + 3*a**2).\nAnswer: -2983*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 1, r: 4, p: 1, o: 3, x: 1}. Give prob of sequence rwop.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 15. Let f(p) = 4*p - 46. Let h(n) = 2*f(n) - 7*g(n). Let w be h(5). Solve -4*c + z = 4 - w, 0 = -5*c - 3*z + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/69*3\/(-4)*-1*(-94)\/1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12031 (base 6) to base 4\nAnswer: -123103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 136 + (5 - 3).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*o = 6*t + 7, -4*t - 4*o + 16 = 0. Let i(l) = -2 + 0 + t. Let s be (0 + 1)*(-6)\/3. Let m(w) = w**2 + w. Determine s*m(n) - 2*i(n).\nAnswer: -2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.072, 5, 9.271, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-160))\/(14\/2016*12)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/9 (b) -0.5 (c) -0.6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 24*s - 122. Let k be y(16). Solve 8*v + k = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.665691 micrograms in kilograms?\nAnswer: 0.000000005665691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353536350 a multiple of 2165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and -103\/114282.\nAnswer: 1257102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 - o**2 + 2. Let b(q) = -5*q**3 + 2*q**2 - 2. Let r(z) = -3*b(z) - 4*v(z). Is 15 a factor of r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -57*n**4 - n**3\/6 + 2*n**2 + 51. Is g(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5877 is divided by 1173?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(56) - sqrt(504)) + sqrt(56) - (-1*sqrt(224) - sqrt(224))\/sqrt(4))\/(sqrt(968) - (sqrt(968) + -1*sqrt(968))*2).\nAnswer: 9*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -316?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3654 divided by 522.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -19*h. Let n(b) = b**2 + 13*b - 16. Let w be n(-15). Let x(y) = -y - 3. Let f(t) = 2*t + 7. Let r(v) = w*x(v) + 6*f(v). What is r(k(g))?\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t - 18. Let s(c) = -38*c**2 - 442*c. Determine s(d(b)).\nAnswer: -1368*b**2 + 5556*b - 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2342 - 0.795. What is t rounded to 2 dps?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 2*l**2 + 3*l + 2. Let z = 14 - -2. Suppose -5*i - 2*h = -5, 0 = 2*i - 4*i + 2*h + z. What is the units digit of t(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11cc7a (base 15) to base 11\nAnswer: 533121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12330 - -11?\nAnswer: 13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7121*b**2 - 25*b**3 - 7121*b**2 + 10001 - 10002.\nAnswer: -25*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b + 5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 19*r + 19*r + 24 + 13 - 37*r - r**3. Determine k(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*m - 38177 - 2518 + 10690 = 0 for m.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + h + 1. Let i(r) = r + 7. Let t(j) = -2*j - 13. Let c(u) = 5*i(u) + 2*t(u). Calculate the smallest common multiple of p(-1) and c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**3\/6 - 5*k**2 + 6*k. Let c be z(8). Is -7\/5 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73\/3 in -1, 3, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*v**2 + 10468*v**5 - 71*v + 4153*v**5 - 10713*v**5 + 7926*v**5 wrt v?\nAnswer: 710040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 + 2*m**2 - 8*m + 64\/7.\nAnswer: -(m - 8)*(m - 4)*(m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6514*l**3 - 13040*l**2 + 24*l = 0. Calculate l.\nAnswer: 0, 6\/3257, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 6*b - 3*b)*(-7*b**3 - 7*b**3 + 31*b**3) + 7*b**4 - 6*b**4 + 12*b**4.\nAnswer: 132*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 3. Let k = 6 + -6. Put g, k, 4 in increasing order.\nAnswer: g, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -80, 12, 0 in descending order.\nAnswer: 12, 0, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 divided by 414.\nAnswer: -289\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 2:44 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 19*o - 162 = 7*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976315 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugvg when four letters picked without replacement from {u: 1, v: 2, y: 1, g: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**6\/12 - 2*t**5 + 17*t**4\/2 - 32*t**3\/3 + 2578. What is z in c(z) = 0?\nAnswer: 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175240 and 14170?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1732*x + 3476*x + 8 - 1740*x - 3 + 19*x**2 in the form t*x + i + m*x**2 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5179 - 4819. Calculate the highest common factor of 792 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*6*(-5)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/(-60)*10\/(-8))\/(1\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 3*d + 5. Let k be z(-5). Let p be (1*42)\/(6\/(-18)). What is the units digit of p\/35*k\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*h**4*m - 2*h**3*m**3 + 3*h**2*m**3 - 2*h*m**3 - 6*h*m**2 wrt h?\nAnswer: 1896*h*m - 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.28109 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/315 and -25\/405216.\nAnswer: 2026080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 7*h - 5. Let r = 1 + h. Suppose 2 + 7 = 3*f. Solve -5*t + r = -f*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 54489?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, 0.1, 3\/28, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401010.6566 rounded to the nearest 10?\nAnswer: 401010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -5, 2, 29, 82, 167, 290?\n\"Answer: c**3 + c**2 - 17*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8*b*b*b**(1\/12)*b*b)\/(b\/b**(-4))**(-29))**(-45) assuming b is positive.\nAnswer: b**(-28275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 902 + -716. What are the prime factors of d?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -7*a**3\/6 - a**2\/2 + 9*a. What is the first derivative of d(k) wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141384646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*h = -25, -3*h + 0 = 15. Suppose 2*k - 60 + q = 0. Let z(x) = -2*x**3 - 6*x**2 + 2*x - 1. Calculate the remainder when z(-5) is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -126, -109, -86, -57?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, 11.\nAnswer: -3, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 1)*(0*z - z + 2*z)*(-175 - 50 + 92) to the form t + x*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -1032, -3, -2, 1, -19 in decreasing order.\nAnswer: 39, 1, -2, -3, -19, -1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -204, -151, -98, -45?\n\"Answer: 53*a - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, m: 10, v: 4, d: 4}. Give prob of sequence vmj.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 234918a - 4?\nAnswer: 2349186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 32975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24571.4577 + 24570. What is b rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1328, -2734, -4130, -5510, -6868, -8198, -9494?\nAnswer: -10750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11940, -4, -1, -201 in descending order.\nAnswer: -1, -4, -201, -11940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(192) - -3*sqrt(9)\/sqrt(3))*6 + 3)*-3.\nAnswer: -198*sqrt(3) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 3*o**2 - o. Let t be r(-3). Let y = 14 - 8. What is the highest common divisor of y and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/22 + 23\/12397*21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttittuuti. Give prob of sequence iit.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/122 and -29\/6161?\nAnswer: 12322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 18*n - 13*n**2 + 28*n + 12*n**2 in the form p*n + x*n**3 + o*n**2 + u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + 60. Let x = s - 86. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - -3) - (7 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -2*f - 122. Suppose -4*t - 20 = 0, 0*w + 3*w - 3*t = 0. Is (9\/w)\/(27\/f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.63295 - -0.31635. Let l = f - -0.0507. Is 0.5 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1128 and 151\/42.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -557.27438 to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 89. Let u(x) = -3*x**2 + x + 265. Let m(n) = -2*u(n) + 7*y(n). Give m(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.249 - 0.249111. Round t to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25.4 and -67182.\nAnswer: -1706422.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n - 4. Let w(d) be the first derivative of 10*d**3 - 2*d - 735. Give w(j(h)).\nAnswer: 1920*h**2 + 1920*h + 478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -5. Is 3 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 31 = 3*c - 4*d, 2*c - 4*d = 36. Solve p = 2*r - 4*p - 5, r = 5*p + c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x + 461. Is g(-13) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**3 + 115*z**2 - 100*z + 20.\nAnswer: -5*(z - 2)*(z - 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (13 - (-11 + 19 - -8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1. Let i(h) = -h - 5. Let b(t) = -i(t) - 5*o(t). Let v be b(4). Suppose -5 = -5*y, 2*y = -v*d - d + 117. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/72*(-1 - 50\/(-26)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 8)*(-5*h**3 - 4*h**3 - 3*h**3).\nAnswer: -96*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2. Let a(y) = -5*y**2 + 5*y. Let r(b) = 2*b**2 - 3*b. Let w(q) = 3*a(q) + 5*r(q). What is i(w(z))?\nAnswer: -100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 3*f**2 + 7*f - 8. Let o be v(3). Find the first derivative of 0*c + o*c + c + 19 wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-3)\/1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 5. Let t be q(3). Suppose 0 = 4*n - t*n + 63. Factor -90*m**5 - n*m**3 + 23*m**3 + 88*m**5 - 32*m.\nAnswer: -2*m*(m - 2)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*y + w - 70, y + 14 = 2*w for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*6\/(-480))\/(((-60)\/(-125))\/(-4)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 32*h**2 - 95*h - 234. What is the remainder when c(19) is divided by 127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 25 = 2*r. Let q be -1 - (1 + 1)\/(-2). Suppose r*l - l - 24 = q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-4)*-4)\/(60\/18400)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (-129 + 135 + 30 + -6).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.94 + -35.3. Let l = v - 2.54. What is l rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**2 + 19*a + 36. List the prime factors of m(-5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39094 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, -493, -615, -781, -997, -1269?\nAnswer: -1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + w - 3)*(0*w**2 - 3*w**2 + 4*w**2)*(-17*w + 20*w + 18*w) as b + g*w**2 + m*w**3 + x*w + u*w**4 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 135*k + 147. Let o(l) = l**3 + 15*l**2 + 136*l + 146. Let s(f) = 2*a(f) - 3*o(f). Factor s(m).\nAnswer: -3*(m + 2)*(m + 3)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -16) + 2)\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -66, -211, -484, -927, -1582, -2491?\nAnswer: -3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/100 - h**4\/30 - h**3\/30 + h**2\/5 + 66*h. Factor j(k).\nAnswer: (k - 2)*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000001101100000101001 + -10011?\nAnswer: 1101000001101100000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160 or 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (28 + -25 + -25)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -214*y**5\/5 - y**3\/3 + 17*y**2\/2 - 242. What is the third derivative of u(a) wrt a?\nAnswer: -5136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 6126*s - 109926. Give b(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 2*y - 19*y)*(13*y**3 + 9*y**3 - 10*y**3) + (0 - 3 + 4)*(0*y**4 + y**4 - 2*y**4).\nAnswer: -349*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, e: 3}. Give prob of picking 1 e and 1 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g + 4. Let z(d) = 39*d - 10. Let v(x) = 5*k(x) + 2*z(x). Let r(h) = 159*h**2 - 79*h**2 + 72*h**2. Determine r(v(b)).\nAnswer: 608*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23971087 minus 0.0214?\nAnswer: 23971086.9786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2. Let m(j) = 466*j**2. Determine k(m(w)).\nAnswer: -434312*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 2603028?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3 + 5*v**2 + 13*v + 2553. What is f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (0 - -5) - (-28 - -23)) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 8:53 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504396 is divided by 1479.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 304 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/12 - t**3\/3 - 32*t**2. Let v = -2 - 4. Calculate x(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1365*m**2 + 1468*m**2 - 4141*m**2 + 1392*m**2.\nAnswer: 84*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220331 + 33?\nAnswer: 221030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 + -137. Let w(h) = p - 4 + 1068*h**2 - 1070*h**2. Let y(c) = 6*c + 3*c + c. Calculate y(w(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001000 (base 2) in base 12?\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 223 and 214 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -29*j**3 + 2*j**2 - 1. What is s(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2\/(x*x**(-1\/4)\/x)*(x\/((((x*x*x\/x**(12\/7))\/x)\/x)\/x)*x*x)\/(x\/(((x\/(x**(1\/10)\/x))\/x)\/x*x)))**(-23))**(-15) assuming x is positive.\nAnswer: x**(66309\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/189)\/(7\/42)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in micrograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4400 and 69\/8384.\nAnswer: 2305600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*-1 + 4.\nAnswer: -9*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 141*x - 2256. What is j(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437167803 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 4*w + 6. Suppose b - 7 = 3*u - 5*u, 2*b = -6. What is the units digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -34*g - 441. Give s(-8).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 183865*u + 183870.\nAnswer: -5*(u - 1)*(u + 36774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2 + 18*i - 56. Give l(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - -66. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3905482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -467 - -539. Let u(g) = g**3 + g**2 - g - 1. Let r(q) = 54*q**3 + 72*q**2 - 72*q - 72. Calculate j*u(k) - r(k).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 181, -1, 3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 71682730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70999177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 742511?\nAnswer: 742515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129611*u + t = 129614*u - 7, -4*t + 32 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 134 = -17*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.577 - 0.417. Suppose -3*h = -l + 19 - 8, -15 = 3*h - 3*l. Let i be (h\/(-14))\/((-3)\/(-4)). Sort i, -0.4, c in decreasing order.\nAnswer: i, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 124*c. Let o(l) be the first derivative of -16 + 0*l - 1\/2*l**2. Calculate o(j(a)).\nAnswer: -124*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -34, 3\/4, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from bbjjbblrt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(72)\/sqrt(9)) + sqrt(15) + sqrt(15))\/(sqrt(48)*3)*3.\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*c**2*n*y**3 + 10*c**2*n*y - 2*c*n*y + 15*c*y**2 - 4*y**3 wrt y?\nAnswer: -312*c**2*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331323200 (base 4) to base 5.\nAnswer: -31104124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -50*y + 370. Let u be s(-33). Let h = u + -1169. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let v(o) = -2*o**2 - 4*o - 5. Let u(c) = -c**3 + 7*c**2 - 7*c + 5. Let p be (-10)\/5 + (1 - -7). Let i be u(p). What is i*v(j) + 3*q(j)?\nAnswer: 2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 17 = -d. Let v be 4*d\/(-3)*(-2)\/(-16). Let p(c) = 3*c**2 - 5*c - 3. Determine p(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - m)*(-5*m**3 + 4*m**3 + 0*m**3) + 3*m**4 - m**4 - 3*m**4 + (-8*m**2 + 3 - 3)*(-m**2 + 0 + 0).\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -v - 5*p, -6*p + 2*p = 4*v + 24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 32 = 4*l - 3*g, -l + 5*g = -23. Let u(s) = l - s + s**3 - 2 + 1. Determine u(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307802170 divided by 10?\nAnswer: -30780217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 76 = 6*c + 15*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1\/8 (c) -0.5 (d) 0.1549\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 + d**2 + 3*d**2 - 51*d + 4*d**2 - 79*d - 775 = 0. What is d?\nAnswer: -5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035486339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at most as big as -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-279)\/62*2\/(-3). Let c(o) be the third derivative of 0*o**4 + 0*o + 0*o**a - 1\/120*o**6 + 6*o**2 + 1\/30*o**5 + 0. Suppose c(z) = 0. What is z?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 85 = -3*t, 8*c - 55 = -6034*t + 6033*t + 3*c for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/299 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 17 = n, 3*p = 4*n - p - 52. Solve -39 = -n*d - 31 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8532 + 10612*j + 5794*j - 725*j + 8532.\nAnswer: 15681*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683612 is divided by 22784?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 26 = 4*d, 6*g - 7 = 2*g + 3*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2. Let s(w) = 7*w**3 - 5*w**2 + 4. Let x(h) = 6*b(h) - s(h). Let d be x(0). Let z = d + 9. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2126*c**2 - 400949*c**5 - 4348*c**2 - 4*c**4 + 399363*c**5 - c**3 wrt c?\nAnswer: -95160*c**2 - 96*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + o**3 - 20*o + 10*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1420390*x**4 + 13*x**3 - x**2 - 43102746*x?\nAnswer: 17044680*x**2 + 78*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398647 is divided by 5387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -54*y + 298 - 187 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k + 1. Let b be (48\/28)\/((-4)\/14). Let t(g) = -7*g - 2. Give b*v(u) - 7*t(u).\nAnswer: u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + -2.4. Let z = m + 2.6. What is the smallest value in 4\/7, 2\/21, z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181843699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1187, 9541, 32215, 76367, 149155, 257737, 409271?\n\"Answer: 1193*y**3 + 2*y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.4254 to two dps.\nAnswer: -8.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1cc2821 + 48?\nAnswer: 1cc2869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 5*z)*(2 - 2 - 1) - 2*z + 11*z + 0*z - 2.\nAnswer: 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 263?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 + -181.92. Let c = 156 + -163.6. Let s = c + r. Round s to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 2, m: 3}. Give prob of picking 2 x, 1 h, and 1 m.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooedxdo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8251 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 are the prime factors of 2810?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 7. Let z(r) = -3*r + 27. Let u(d) = -9*g(d) - 2*z(d). What is the tens digit of u(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2 - 16 + 18 - z. Let q(y) = -7*y + 1. Let b(r) = -15*r + 3. Let k(n) = -2*b(n) + 5*q(n). What is h(k(w))?\nAnswer: 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-234)\/(-429) + (-1015)\/(-55) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 4. Let t be c(-9). Suppose s - 2*s = -5*o + 17, -t*s + 35 = 5*o. Suppose 0 = -l - 3*n + o, 2*l - 5 - 11 = -4*n. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 95*t + 849. Calculate g(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**4\/6 - 5*n**3\/3 + 4*n**2 + 9*n. Determine j so that q(j) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 138676170*x**3 - 416028504*x**2 + 416028502*x - 138676167.\nAnswer: -(x - 138676167)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -151 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41078 (base 12) to base 3.\nAnswer: 11022021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -5\/3, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.5. Let i be 12\/(-105) - 4\/(-10). Let g(s) = -18394*s - 220726. Let p be g(-12). Which is the closest to p? (a) m (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**3*r**2 + 8673*i**3*w**2 - 320*i**2*r**2*w**2 + 2*i**2*r**2 - 197*i**2*r*w**2 wrt i.\nAnswer: -18*r**2 + 52038*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b + 5?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a66c3 (base 15) in base 2?\nAnswer: -100111010010011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, b: 3, z: 12}. What is prob of sequence bab?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/(-8) + 3\/12. Let h(g) be the second derivative of g**4\/12 + 4*g**3\/3 + 3*g**2 - 24*g - 13. Give h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -4*n**3\/3 + 10*n**2 - 20. Let v(m) = 0. What is m?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101101101001 (base 2) to base 3.\nAnswer: -1121100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s + s. Is (-1)\/4 - (-657)\/36 - s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q**2 + 8*q**2 - q**2)*(-8 + 15 - 2*q - 14*q**2 - 8).\nAnswer: 112*q**4 + 16*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*j = 285*j + 283*j - 839*j + 1314 for j.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1581, -0.1 in decreasing order.\nAnswer: 1, -0.1, -0.1581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 3*t**2 - 2*t + 2. Let o = 106 + -103. What is d(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 53*k - 1225. Suppose 0*i + 19 = 3*i + 5*o, 2*o = -3*i + 31. Calculate the remainder when a(24) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 32*f - 60. Suppose -o + 122*k - 126*k - 8 = 0, -2*k = 3*o + 84. Calculate v(o).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -489 + 179. Let o = -81 - y. What are the prime factors of o?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/68 + 8\/(-68))*12\/(-105).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 10:00 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -95949, -95948, -95947, -95946, -95945, -95944?\n\"Answer: r - 95950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/((-1)\/2 - 0). Let a = 11 - p. Let q = -61 + 61.4. Put a, -2\/9, q in decreasing order.\nAnswer: q, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54\/77 - 185\/154. Which is the closest to -2\/7? (a) -4 (b) 79 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meqk when four letters picked without replacement from {q: 1, m: 1, e: 2, i: 2, o: 1, k: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:20 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 2*h**3 - 1 + 0*h + 3*h**3 + 0*h. Let f(d) = -6*d**3 - 5*d**2 + 5. What is -f(v) - 5*s(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 - 40*v**2\/9 + 2*v\/9 + 40\/9.\nAnswer: -2*(v - 1)*(v + 1)*(v + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54426*x**4 - x**3 + 17*x**2 + 635344*x wrt x?\nAnswer: -653112*x**2 - 6*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*108\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 6. Let h be p(6). Let w = -0.3 - -2.3. Let l = -2.1 + w. Sort 3\/2, l, h in descending order.\nAnswer: 3\/2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-93)\/372).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/227648 or 0?\nAnswer: 1\/227648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 111. Let b = -4.9 + 12.2. Let l = 7 - b. Put l, 0, k in descending order.\nAnswer: k, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*x - 12, -5*n = -0*x - 2*x - 20. Solve 5*f - 9 = y, f - n*f = -y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -15*t**2 - 152. Let z(c) = 3*c**2. Give z(p(y)).\nAnswer: 2700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -16. Let g = 0.3 + 2.7. Let z = p + g. What is the closest to 2\/5 in z, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rriikiiridriiririrki. What is prob of picking 2 k and 2 r?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 5 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.1 - 0. Let g = q + 4. Sort 3\/4, -4, g, -2\/5 in decreasing order.\nAnswer: 3\/4, g, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3*r**2 - 3*r**2 - 11559*r**3 + 38961*r**3.\nAnswer: 27402*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + (2 + -3 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 893759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 + 3*m**2 + 7*m**2. Let x be 3 - -4*12\/(-16). Let s(r) = 1 - 1 + x - 2*r. What is a(s(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 20.735?\nAnswer: 20.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) -0.02 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*w - 1069 = 3*w, -w + 3187 = 3*d. Is d a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v - v**2 - 10*v**2 - 4*v - 6*v**2 + 12*v**2 as a*v + l + b*v**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 21, 30, 39?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1453752253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -199, -281, -365, -451?\n\"Answer: -s**2 - 79*s - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29328414 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83871, -83861, -83851, -83841?\n\"Answer: 10*v - 83881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15411 = -2*l + w + 22076, l - 18749 = -5*w. Suppose -147 - l = -9*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:32 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*l + 4*o, 9*o = -2*l + 10*o + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 422220136 to the power of 1\/2, to the nearest integer?\nAnswer: 20548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 36*b**2 - 8*b + 19. Let i be z(8). Let n be i\/99 + 2\/11. Let h = n + -19. Solve m + 4*p + 6 = 0, h*p = 3*m - 1 + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**4\/12 + 3*r**2. Let b be (-1 + 0)\/(-1)*-4. What are the prime factors of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 8*t**2 - 3\/2*t**3 + 7\/120*t**6 + 0 + 0*t + 0*t**5 + 0*t**4. Differentiate m(y) with respect to y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -27*i + 28*i. Let s = i - 5. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, v: 2}. What is prob of sequence tv?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:06 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -307068*h**2*p**2 + h**2*p*s**2 - 732*h**2*p + 6*h**2*s - 12*h*p**2*s**2 - 21*h*p wrt p.\nAnswer: -614136*h**2 - 24*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:03 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14775 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31675 - -16454. What is the greatest common divisor of f and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 2 g when four letters picked without replacement from dlgldoddgldlldrr.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2689 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 1. Let z be a(1). Suppose l + 1 = x, -6*x = -3*l - x - z. Let m be l*1 - 60\/20. Is -4 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*b + 24, -2*m - 4 = -3*b - 20. Calculate the lowest common multiple of m and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**3\/3 - 67375*x**2\/3 + 134795*x - 202215 = 0.\nAnswer: -13481, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4891331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.11858381613 take away -0.5?\nAnswer: -261.61858381613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 4*l - 51 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 7*m**2 + 5*m + 5. Calculate h(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 931\/5 + -185. Let x = 4.97 + -2.97. Let m = -28 + 34. Sort -0.2, m, v, x in increasing order.\nAnswer: -0.2, v, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 5*l + h, 944*l - 100 = 956*l - 2*h for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3182*m**2 - 106197 + 106198 - 22840*m**2 in the form a + y*m + l*m**2 and give l.\nAnswer: -26022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 4, 81, 2\/3, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = 2*b, -4*j = -3*b + 20. Suppose 5*g - 2 = b*g. Solve -5*k + 6 = a - 1, -g = 4*k - 3*a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 162*m + 6573. Calculate h(81).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-3*(-6)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4168437 + -8?\nAnswer: -4168445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*g**2 + 7 - 7 + 212*g**2 - 923*g**2.\nAnswer: -1004*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379239 + 758474 - 35*z - 379237 - 3*z.\nAnswer: -38*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2184 + 648. Which is the third smallest value? (a) -0.2 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40936 and 1088.\nAnswer: 327488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4*t**2 + 2*t**2 + 0 + 2 - 587*t**3 + 5065*t**3 as g*t**3 + r*t + j + d*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/126785?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5588, 10259, 18044, 28943?\n\"Answer: 1557*a**2 + 4031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 3:15 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:22 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.262 and -29.\nAnswer: 7.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*h - 39 - 12, -h + 27 = t. Let o be ((-3)\/(-4))\/((-2)\/32). What is the remainder when h is divided by (-118)\/o + (-4)\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -0.3 (b) -2\/5 (c) -6\/11 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from zuzzuuzzzugzzuuuzz.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/2545?\nAnswer: -2\/2545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4881 divided by 5?\nAnswer: -4881\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83512317*j**2 - 262713231?\nAnswer: -167024634*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370677988 is divided by 439?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28.869 - 28.869. What is the nearest to -5 in -8, j, -1\/4, -3\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 10) to base 11.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0196 - 16.9804. Which is the biggest value? (a) -5\/8 (b) 1\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -884*b**2 + 295*b**2 + 385*b**2 + (-2*b - 4 + 4)*(-7*b + 6*b + 0*b) to s*b + m*b**2 + p and give m.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318 - 515 + 70 - 4 + 5 + 0 - 1 + 0 + 2 + (-3 + 3 + 2)*(0 + 0 + 2) + 1 + 3 - 2 + 1 - 4 + 2)*(0*j**3 - 2*j**4 + 0*j**3) + 2*j**4 + j**3 - j**3.\nAnswer: 1514*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18306613, -18306610, -18306607?\nAnswer: -18306604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112)*-4 + sqrt(112))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) - 100\/(-36). Suppose -5 = -n + i. Which is bigger: 9 or n?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(41\/(-82)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1792, -14858, -50318, -119368, -233204, -403022?\nAnswer: -640018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15054334 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 4250614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7*o + 17. Give g(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/4 + 10*a**3\/3 + a**2 - 10*a - 4. Is q(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -3a99?\nAnswer: 3a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99749 is divided by 241?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, 7, -5 in ascending order.\nAnswer: -252, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.036 times 2?\nAnswer: 6.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**5\/30 - 7*h**2 - h. Calculate z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 583, 554, 525, 496, 467, 438?\n\"Answer: -29*v + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(448))**2*-2 + -4 + 1).\nAnswer: -4495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 239340?\nAnswer: -239340.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -115\/3 in 0.5, 9, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooao when four letters picked without replacement from {a: 4, o: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692580213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 - 2372*c**3 + 297512*c**2 + 2494976*c + 5066880 = 0. What is c?\nAnswer: -4, 195, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 51 = 12*b - 132 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 1)*(-4)\/3. Suppose -u*x = l - 14 - 2, -l = -3*x + 5. Find the first derivative of -3 + x*i**3 - 4*i**3 + 2*i**3 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-1316)\/(-44) + 40\/(-44)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743e (base 15) in base 3?\nAnswer: 1020201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:05 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4*u + 3815*q**4 - 2*q**3 - 33*q*u - 131*q - 2*u wrt q?\nAnswer: 24*q**2*u + 45780*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/9 - b**3 + 26*b**2\/9 - 8*b\/3 = 0?\nAnswer: 0, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4204 - -21?\nAnswer: -4143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) -4\/17 (c) 3 (d) 4 (e) -0.3 (f) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 16 = -3*q, -202*f - 89 = -203*f + 12*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1.11, 0.2 in decreasing order.\nAnswer: 0.3, 0.2, -1.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29137324 and 169010?\nAnswer: 145686620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 81. Let m = h + -54. Let f = -158.5 + 159. What is the second biggest value in m, f, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 8*l**2 + 24340*l - 12172 = 0.\nAnswer: -3043, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + ((-1 + sqrt(75) + -2)*-2 - (((sqrt(75) + -1 + sqrt(75))*-1)**2 - (sqrt(75) + (sqrt(75) + (sqrt(75) - (sqrt(75) - 2*sqrt(75)))**2)*-4))).\nAnswer: -1493 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004104 to 7 dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 - (2 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.4 + -59. Let o = -4 + 4.2. What is the third biggest value in 0.8, 3, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/47609?\nAnswer: -16\/47609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/90 + v**4\/18 + v**3\/9 - 9*v**2 - 17*v. Let z(g) be the first derivative of q(g). Factor z(c).\nAnswer: 2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2969 and 72568298?\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 + h + 6. Let r be g(-4). Suppose -s + 13 - r = 0. Calculate the greatest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51557, 206210, 463967, 824828, 1288793?\nAnswer: 1855862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1119 - -1117. Put 2, 99\/13, v, -5 in increasing order.\nAnswer: -5, v, 2, 99\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - (-140)\/(-6). Suppose 3*t - 5*p + 0*p = -106, -5*t = 5*p + 150. Let y = v - t. Solve -13 = 3*a + 2*b, -2*a - y = -2*b + 3*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-546*w**4 - 3*w - 5*w + 541*w**4)*(1 + 1 + 1)*(6*w + 0*w - 3*w)*(-4 + 7 - 1).\nAnswer: -90*w**5 - 144*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91*i*k*r + 154*i*k - 23*i*r**2 + 3*i*r + 2*k*r**2 + 127*k with respect to r.\nAnswer: 91*i*k - 46*i*r + 3*i + 4*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -84*z + 6. Let q(c) = -42*c + 15. Let u(d) = -1. Let r(i) = -q(i) - 12*u(i). Let a(x) = -3*m(x) - 5*r(x). What is the derivative of a(f) wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = 4. Let r be (-12)\/(-7) - d\/(-7). Suppose s - 1 = -2*q - 4, -3*s = -r*q + 17. What is the highest common factor of q and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -440 - -556. Which is bigger: h or 103?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k + 2. Let s(t) = -20*t + 1. Let o(j) = -4*n(j) + 5*s(j). Is o(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4507 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1363 or -1\/4?\nAnswer: -1363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 - (-7 - (-10 + -10 + 5))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v + 51 = -49 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 188 + -171. Suppose -3612 = -4*x - r*x. Is x a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2 + 569992*t - 3420024 = 0 for t.\nAnswer: -285002, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -8.35.\nAnswer: -8.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/6*1 + (-46)\/(-138). Let b(d) = d**2 + 5*d + 2. What is b(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -0.02, -3\/2, -5.5, 48.7.\nAnswer: -5.5, -3, -3\/2, -0.02, 3, 48.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g**2 - 13. Let t(l) = -8*l**2 - 13. Let s(r) = 5*t(r) - 4*v(r). Find the first derivative of s(i) wrt i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*sqrt(17) + -1.\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2 + 2 + 2). Suppose x = 5*w - 0*w, 3*w - 48 = -4*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) 3 (c) -0.14 (d) -1\/5 (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(2\/9)*((c*c**(-1\/4))\/c)**(2\/87)*(((c**(-5)*c)\/c*c*c*c)\/(c\/c**(-1\/6)))**(2\/15) assuming c is positive.\nAnswer: c**(-1349\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59508 * -0.13.\nAnswer: 7736.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -424075, -424076, -424079, -424084, -424091, -424100?\nAnswer: -424111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*j - 18, n + 3*j = -0*n + 14. Suppose 16 - 46 = -n*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1914 and -125 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7666 (base 9) to base 6.\nAnswer: 42053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(((p**3*p)\/p)\/p)\/p*p**(2\/3)*p*p**(2\/21)\/p*p**4 assuming p is positive.\nAnswer: p**(142\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 896 = -5*q. Suppose -2*i - 392 = -4*r + 2*i, 0 = 2*r + 3*i - q. What is the greatest common divisor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l\/(l*l*l*l**(-2\/7))))\/l)\/(l\/l**9*l))**32 assuming l is positive.\nAnswer: l**(2176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 20. Let y = 0.3 - 1.3. Which is the closest to y? (a) -1 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -111 (c) -1\/5 (d) 0.2 (e) 20 (f) -362 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-429702\nAnswer: -171880.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 9) in base 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 5*x**2 + 5*x + 5. Let a be p(3). Suppose a*g - 80 = -2*g. Differentiate -3*f**2 + 12 - g*f**4 + 3*f**2 + 8 wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1539946 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**9\/2520 + g**5\/20 - 7*g**4\/12 - 4*g. Let y(x) be the third derivative of r(x). What is the derivative of y(d) wrt d?\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/5)\/((h**(-2)\/h)\/(h*h**(1\/8)\/h*h*h))*((h\/h**(-3\/5))\/h*h*h\/(((h\/(h**(-4)\/h))\/h)\/h))**(5\/8) assuming h is positive.\nAnswer: h**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 + 4*d + 13. Let p(b) = -b**2 - b - 1. Let n be 7\/63*-3*-3. Let s(v) = n*y(v) - 2*p(v). Give s(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72833800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.926595 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*u**2\/3 - 227779*u\/3 - 3608 = 0.\nAnswer: -451, -24\/505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - n**2 - 7*n + 7. Suppose 3*k = -4*r - 4, 0 = 3*r - 4*k - 18 - 4. Let l be u(r). Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) - 57\/12. Let q(y) = -y + 5. List the prime factors of q(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6743 to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10625\/2975*56\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 9*v - 2*d + 25 = 0, v - 5 = -2*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 27120*p**2 - 27265*p**2 + 54389*p**2 - 1 + 2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - i + 3*i + (-1 - 1 + 4)*(14*i + 168*i - 334*i).\nAnswer: -303*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 15) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 194098310 to the nearest 1000000.\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/c**(-1\/7))\/(c*c**(-1)\/c*c)**(-15\/2))\/((c**1*c)**(2\/117)*c**2\/c*c**(2\/7)) assuming c is positive.\nAnswer: c**(-2602\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -30. Let f be (-546)\/147 + (-4)\/14. What is the fourth biggest value in b, f, -1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7216, 14092, 20964, 27832, 34696, 41556?\nAnswer: 48412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 15. Calculate f(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10539059 is divided by 432?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyyysaykkikkmii. What is prob of picking 1 i, 1 y, 1 s, and 1 m?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 6*k - 468 = 97*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.079, 0.05, 0, 7 in descending order.\nAnswer: 7, 0.079, 0.05, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17*w**2 - 4898*w + 20089. Give h(284).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33617, -67226, -100831, -134432, -168029, -201622?\n\"Answer: 2*a**2 - 33615*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*j - 16. Solve 0*o - 2*d = -2*o - j, -2*o - 3*d + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 4*q**2)*(2498*q + 29 - 18 + 8 - 19).\nAnswer: 9992*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from yssyss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j + 1. Let m be 6 - (6\/3 + 0 + 16 + -14). Solve 0 = j*t - m - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -3. Suppose 0*a = q*a - 96. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r + 4*h + 3085 = 0, -2*r = 2*h - 1252. Is r a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3 - 3*d**2\/2 - 1. Solve x(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v = -2*x + 23*v + 4, -2*v = 4*x - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*m + 335 - 185. Let g = -0.7 + 1. Put -1, m, 0.5, g in decreasing order.\nAnswer: m, 0.5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -43 - ((-2 - 4\/2) + 5). Suppose 0*s + 5*s + 95 = 0. Let m = s - x. Calculate the highest common divisor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 32 = 3*v. Let y be 2\/(-4) - (-68)\/v. Suppose 2*j - y = -0. Solve j*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 3*t**3 + 3*t**3 - 7*t**3 - 2*t to the form u + r*t + a*t**3 + s*t**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/3 - 56*a**2\/3 + 52*a\/3.\nAnswer: 4*a*(a - 13)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*u**3 - 6395*u**2 + 2129*u**2 + 2137*u**2 + 2129*u**2 + 191*u to k*u**2 + h*u + n + g*u**3 and give h.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2 - k. Let g be i(2). Suppose -q - 1 + 7 = -2*w, -w = -5*q + g. Solve 5*u - q = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 149) + -1 + 4\/(-2). Let x = f - -281. List the prime factors of x.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 14. Let h(g) = -2*g**2 + 5*g - 5. Let j = 250 + -242. Let u(l) = 3*l**2 - 8*l + 8. Let y(b) = j*h(b) + 5*u(b). Calculate y(n(o)).\nAnswer: -4*o**2 - 56*o - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40756 is divided by 79?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2. Let n(w) = 69*w. What is n(c(s))?\nAnswer: -207*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/12 - 5*l**3\/6 + 4*l**2. Let r be o(-4). Let j(s) be the second derivative of 5*s**3\/6 + s**2\/2 + 754*s. Give j(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*y + 1940 - 316 = 0. Which is the biggest value? (a) -0.4 (b) -0.14 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 - -17?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 91, 14, 138 in decreasing order.\nAnswer: 138, 91, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -33. Let i be (-18)\/(-16) + 1\/d. What is the closest to 1 in -0.1, i, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-360)\/(-64))*9\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565158 is divided by 282573?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1707460 - -10?\nAnswer: -1707450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -5248?\nAnswer: -524b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s - 2*t + 25, 29 = 3*s + 4*t. Suppose -2*u = -3*u - 3*v - s, -5*u + 35 = v. Suppose 0*m + m = u. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 14*q**5 + 2754*q**4 - 33422*q**3 - 28987434*q**2 - 1136738448*q + 327149496 = 0.\nAnswer: -123, -53, 2\/7, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five quarters of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h. Let z(a) = a**2 - a. Let q(w) = -2*y(w) + 3*z(w). Let s be q(-1). Solve -2*t - s*t + 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 716668220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*u - 105, 0 = -g - 0*g + 3*u + 102. Suppose 77*j = 198*j - 363. Calculate the greatest common divisor of j and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231 + 12?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9533, 3 in descending order.\nAnswer: 4, 3, -9533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + 4 - 3) + -4. Sort o, 6, 8.\nAnswer: o, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 230*r + 5355.\nAnswer: -5*(r - 17)*(r + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5594010 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189.3 - 195. Let t = -5.73 - i. Round t to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(28) + -2 - ((sqrt(847)*-1)**2 - ((-2*sqrt(35))\/sqrt(5) - sqrt(7))).\nAnswer: -849 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**3 - 2*u + 1. Let t be y(1). Does 21 divide -2 - -8*(6 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36009179 minus 0.171?\nAnswer: -36009179.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338 divided by -275?\nAnswer: 1338\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/2 - 4*l**3\/3 - 17*l**2 + 103*l - 1. What are the prime factors of m(-6)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-4)*(-5)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-18))\/(((-8683)\/(-38))\/457)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*q - 9. What is the highest common factor of 110 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13237620 and 186.\nAnswer: 13237620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8362.553m in millimeters?\nAnswer: 8362553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (263 - 188)*(146\/3 + 0)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qor when three letters picked without replacement from {q: 3, o: 3, r: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -53*3*10\/(-15). Suppose 5*j + 16 = a. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujjj when four letters picked without replacement from {u: 1, i: 5, m: 7, j: 3}?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 6 = -5*s + 17, 2*c + 1 = 3*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*n + 28*n + n**2 - 2*n**2)*(n**3 + 0*n**3 + 0*n**3) + (-n - n + 0*n)*(2*n**3 - 2*n**4 - 2*n**3).\nAnswer: 3*n**5 + 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 44*k**2\/9 + 94*k\/9 + 16\/3.\nAnswer: -2*(k - 24)*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4367, -17486, -39349, -69956, -109307, -157402?\n\"Answer: -4372*b**2 - 3*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 3558\/33 + 40\/220. Solve 0 = 11*r - m + 34 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1466*n**3 + 12*n**2 + 6*n + 6. Let r(o) = 1468*o**3 + 10*o**2 + 5*o + 5. Calculate 5*d(b) - 6*r(b).\nAnswer: -1478*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 90*b + 2. Let s(l) = 721 + 723 - 1444 - 5*l**2 + 0*l**2. Determine s(u(o)).\nAnswer: -40500*o**2 - 1800*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/2)\/(7\/(-399)). Suppose 32*x - t = -6*x. Solve -x*v + 0*v = -18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -310622.3 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.06, -5, -4, 15390?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*d - 352, -t - 380 = -6*t - 5*d. Is (-1)\/(((-26)\/t)\/13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17320524 divided by 1443377\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -183, 1\/29, 0, -5?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377617 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -538, -601, -662, -685, -634?\n\"Answer: 6*v**3 - 35*v**2 - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/6*(-2)\/2. Suppose z = t - 122 + 87. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 9:16 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6058.\nAnswer: 2, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 12*s**2 - s + 965. List the prime factors of u(0).\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000001011110010010001 (base 2) to base 14\nAnswer: -3dbc09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(68) + 2)**2 - ((sqrt(68) - (2 + 1 + sqrt(68))) + sqrt(68))**2)*-6.\nAnswer: -3234 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/(224\/42*60\/(-80)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -209270923327\nAnswer: -209270923312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*v - 4 = 0, 2*x = 4*x + 5*v + 5. Let f be 3*(2 - (x - 1)). Find the second derivative of 12*i**4 + 14*i**4 - f*i**4 - 20*i wrt i.\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -39. Let c be ((-112)\/(-3))\/(f\/(-337500)). What is c rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1131, -3688, -7637, -12978, -19711, -27836?\n\"Answer: -696*j**2 - 469*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -41\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5558 = 245*h - 295*h - 347*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34264698 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -299752?\nAnswer: -299757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*a**4*i**2 - 13*a*i**2 - 37*i**2 - 3*i wrt a.\nAnswer: 40*a**3*i**2 - 13*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = 5*v + 55, p + 4*v = 0. Let q be p\/(-16)*-2*8. What is the smallest common multiple of 2 and 88\/14*(-70)\/q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.4 (c) -0.02 (d) 18\/7 (e) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = 2*k. Suppose -3*p = -l - 2, -k*p - 5 = l - 3. Let g(i) = -i**3 + 6*i**2 - 2*i + 9. Let j be g(6). Is j less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015642 to 7 decimal places.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*x + 2740, 2*x - 4610 = -12*v + 7*v. List the prime factors of v.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 832177?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*2*5 - sqrt(33)) + (sqrt(363) - sqrt(363)*1)\/sqrt(11))\/(-5*sqrt(147)*6).\nAnswer: -3*sqrt(11)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 6. Let s be a(-8). Let z be 108\/280 - 4\/s. Sort -4, z, 25 in decreasing order.\nAnswer: 25, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1472\/552*(-18)\/552?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 3*w**2 - 4*w + 4. Determine d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 14*g**2 - 28*g + 28. Give y(6).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 10:45 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -310 and -0.3.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 308\/(-14) - (6 - 4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1493*g**3 + 2*g**2 - 1285*g**3 + 2771*g**3.\nAnswer: -7*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10594, 21369, 32134, 42877, 53586, 64249, 74854?\nAnswer: 85389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (227 + -234 + 9 + 1 - -3) + (-11 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 710 divided by -592\nAnswer: -355\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.439, -1, -67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230906 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y - 5. Let l(n) = 57*n - 25. Let i = 362 - 373. Let t(f) = i*u(f) + 2*l(f). Determine t(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00069212416 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f + 5. Suppose 2*o + 0*r = -2*r + 2, -o = 5*r - 5. Let g(i) = -2 + o*i - 12 - 14*i. What is -11*b(h) - 4*g(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 196750 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -35*h - 4. Let f be a(-4). Suppose -6*v = 34 - f. Suppose 19 = 3*l - 2*z, l - 2*z - v = -4. Solve -4*n + 5*t = 17, -n + l = 2*t - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105582336 to the nearest 1000000.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1 - (12 + -9)) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -1 - 3. Let l(d) = -d**2 + 11*d - 11. Let f be l(10). Is 4 - (z - f*2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14d9c (base 14) in base 2?\nAnswer: -1100101101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 4*b + 3. Let p be z(4). Solve 0 = p*w - 10 + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10334033 (base 5) in base 4?\nAnswer: 111330211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24743 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46443 and 417987.\nAnswer: 417987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16881, 25421, 33971, 42531, 51101?\nAnswer: 59681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4320651760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 6*j**2 + 3*j - 2. Let f be p(5). Suppose -n - 9 = -f. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441449 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110968 is divided by 776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-2 - 2 - -4). What is the third smallest value in -3, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -2.2. What is the nearest to 1\/5 in -4\/7, v, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 8. Is (-10)\/q*134\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhklkkgrlk. Give prob of picking 1 k, 1 g, 1 r, and 1 l.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000773673913 rounded to seven dps?\nAnswer: -0.0000774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 135687*k - 64.\nAnswer: -135687*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3657?\nAnswer: 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3007.\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1310*b**5 + b**3 - b**3 - 2102*b**5 - 2850*b**5 + (0 + 3 - 5)*(4*b**5 + 0*b**5 - 2*b**5).\nAnswer: -6266*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -477438 plus 0.2?\nAnswer: -477437.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: cb9 (base 13) to base 16\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g - 1. Let p(o) = -79*o**2 - 15483*o + 193. Let f be p(-196). Let j(c) = -c + 3*c + 1 - 3*c. Give f*j(d) - v(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25869627*m**3 - 25869623*m**3 + 0 + 0.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s. Let a be (s\/3)\/(3 - 2). Let q be (400000 + a)\/((-3)\/(-24)). What is q rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -66*l - 46. Let x be z(-11). Suppose 3*m = -5*m + x. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = -w, -2*x - x = -w. Let s(o) = 7*o + 4. Let b be s(x). Let z(y) be the third derivative of -y**6\/120 - y**5\/15 - y**4\/8 + 2*y**2. Give z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1454?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26\/17 + -785\/102. Find the common denominator of (-1545)\/(-2266)*2\/(-3) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86923.25 centimeters to millimeters.\nAnswer: 869232.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12371740 rounded to the nearest 100000?\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 6 - 16. Let c(m) = f - 1 - 1. Let v(j) = -2*j**3 - j**2 - 4. Suppose -4*l + 22 - 6 = 0. What is l*c(q) - v(q)?\nAnswer: 2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < 127.298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -20. Let p = 25 - q. Suppose 378*u + 60 = 383*u. Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*r*v**3 + 88*j*r*v**2 + 30*j*v**3 + 33*r*v**3 - 183*r*v**2 + 12*r*v + 29*v**3 wrt v.\nAnswer: 12*j*r + 180*j + 198*r + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + -3 + (-1 - -4). Let a(r) = -r**3 + 6*r - 4. Let f be a(s). Solve -20 = -0*p + f*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3157 = -4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 5*q - 1. Let m be r(-2). Suppose 5 = 2*u + h, m*h + 8 - 3 = -4*u. Solve u*b + 17 - 2 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -52 (b) 1\/10 (c) 2\/7 (d) 75 (e) -4 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/15 + 299632*c**2\/5 - 33670246904*c\/5 + 403971054368\/3 = 0 for c.\nAnswer: 20, 224714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8227207?\nAnswer: 8227207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 8*l - 86. Let p be s(-8). Let a be -1 + (-10 - p\/(-7)). Put -33, -1, -4, a in decreasing order.\nAnswer: -1, -4, a, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/169)\/((-1)\/(-13)). Suppose 569 = s*r - 535. Does 67 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irirrrr. What is prob of sequence irir?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -44662.591 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 8:30 AM?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.95 rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9.2533 (b) -21 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) -1 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Suppose -4*f - v*g = -16, 5 + 5 = 2*g. Let y = f - -1. Solve y*k + 2 = -k - 3*n, -4*k + 5*n - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 375*g**2 - 15*g - 1. Is t(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19212030 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 844471.\nAnswer: -23645188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-1*sqrt(190) - sqrt(190))\/sqrt(10) + (sqrt(76)*2)\/sqrt(4) + -1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + b - 1, -b = -o + 3*o + 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 504c?\nAnswer: 5047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*c + 2*g, 6*c + g = c + 161. Which is bigger: c or 21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 342.762 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.25 - -0.25. Let p = o - 5.500342. Round p to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 10 = 0, -c - 3*j - 20 = -7*c + 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3)*r)**(6\/7)*r**(-2\/3)\/r**8 assuming r is positive.\nAnswer: r**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u - 16. What is the tens digit of ((-46)\/8)\/(2\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -737*q**6\/6 - 505*q**3\/3 - 522. Find the third derivative of k(s) wrt s.\nAnswer: -44220*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -110083 + 1?\nAnswer: -110082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2*(-4)\/(-14))*(-5390)\/(-1715).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1478088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 - 21*n - 1. Suppose 2*v = 2*g - 30, -6 = 6*g - 3*g. Let p = -12 - v. Does 11 divide o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a4c98c (base 13) to base 10\nAnswer: 8681984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + z - 120. Calculate the lowest common multiple of 80 and m(8).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j - 9. Let s be n(-3). Suppose s*h - 136 = 11*h. Suppose 2*b + r - 121 = 0, -32 = -b + 5*r + h. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 34 - 3 - 4)*(2 - 2 - 1 + (-8 - 10 - 23)*(3 - 4 - 1))*(-4*x - x + 3*x).\nAnswer: 10692*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, z: 3}. What is prob of sequence xz?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/18*(-45)\/((-30)\/(-6)). Let v(w) = 52*w + 7. Let m(k) = 26*k + 3. What is n*v(i) + 7*m(i)?\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 28*v**2 - 13*v + 22. Give b(14).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46642\/16599 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, c: 2, y: 1, x: 3}. What is prob of sequence lcy?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3616\/18576 + (-348)\/2349 - (-738)\/(-4773)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 215\/25 - 6\/10 - 5. Suppose 5*v = -c + 1, -3*c + 0 - 9 = n*v. Solve 5 = -z + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 1.48 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 248\/3, 1, 0.2 in descending order.\nAnswer: 248\/3, 3, 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 5, 47, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 i when four letters picked without replacement from jijwjnwijir?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3292536 = 15*p - 20*p, 0 = -p - 5*c + 658502. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2440, 9\/2, 1, 2\/5, -5, 0, -0.1?\nAnswer: 2440","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7423, -7422, -7421?\nAnswer: -7420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98179 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*q + 18, -3 = -0*q + q. Let t be ((-8)\/10)\/(1\/(-5)). What is the second derivative of d*w**2 - w + t*w + 0*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2700))\/((sqrt(72)*-2)\/sqrt(8)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -17. Suppose -t*u - 773 = 3*u - 2*y, -149 = u + y. What are the prime factors of -1*1\/(3\/u)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/60 + f**4\/12 + f**3\/6 - 4*f**2. Let z be q(-2). Is z\/((-3)\/(-6)) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(135)*-1 + sqrt(135))*-6)\/(2*sqrt(36)))\/((sqrt(48)\/sqrt(50))\/(sqrt(8) - (sqrt(8) - -1*sqrt(8))*2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 (base 7) in base 6?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7713*j + 3853*j + 3861*j - 160709.\nAnswer: j - 160709","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + x + 1 + (-2*x + x + 0*x)*(1 + 0 - 5).\nAnswer: 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8059 - 7826. What is the remainder when r is divided by 144?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**3\/5 + 1146*c**2\/5 - 73249*c\/5 + 456246\/5 = 0.\nAnswer: -1207, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 + 223. What are the prime factors of x?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 651 = -2*k. Let m be 15\/6 - 6\/(-4). Suppose -m*h = -h - k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 p, and 1 v when three letters picked without replacement from {p: 5, m: 7, o: 1, e: 2, v: 3, d: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 824 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003542509 to seven decimal places.\nAnswer: 0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from akakmeylayea.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159 (base 11) in base 13?\nAnswer: 267a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30686 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26315023 or 26315024?\nAnswer: 26315024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 452 = 5*f + 1942, 0 = 3*d - 4*f + 908. Let i = 305 + d. Let j = 3 - -2. Solve -20 = -j*a + i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/3, 0.1, -1\/6, -5, 5\/421?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*2\/2 - -11. Suppose 13 = s*x - 35. Solve x = -i - 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**7\/1260 - s**6\/720 - s**5\/360 + s**4\/144 - 28*s**2. Find q, given that h(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1\/29, 0 in increasing order.\nAnswer: -5, -4, 0, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -5*k**2\/2 + 21*k + 1. Let a(u) = 12*u**2 - 99*u + 12. Let w be a(8). What is the tens digit of y(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 1\/2*g**2 - 3 + 0*g + 0*g**3 - 1\/4*g**4. Factor h(q).\nAnswer: -q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 463360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u + 7*u**3 + 8*u**3 + 9 - 9*u**3 - 2 - 2*u**2.\nAnswer: 6*u**3 - 2*u**2 - 56*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -410, -413, -414, -413?\n\"Answer: t**2 - 6*t - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/40)\/((-4)\/10). Let s = 29 - m. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*d = -6, -d - d = 3*g + 8. Let j be g + 1 + 5\/((-5)\/(-17)). What is the greatest common factor of 64 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 19. Let j be v(6). Let t be j - (-2 + -5 + 4). Let r be (-16)\/t + 3\/5. Which is the closest to -1? (a) -2 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -49*v - 29. Let q be s(14). What is the common denominator of -13\/24 and (-24)\/(-320)*q\/(-117)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 21*f**2 - f + 6. What is the least common multiple of 57 and v(-21)?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*p**2 + 16*p**2 + 1 + 1 to l + v*p + y*p**2 and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s - 1. Let i(b) = -b - 10*b + 3*b - 9*b + b. Give i(c(v)).\nAnswer: 192*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 156711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 19*k**2 + 2*k - 2. Let h be l(-19). Let a(n) = -144*n - 40. Let w(r) = -11*r - 3. Calculate h*w(c) + 3*a(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/54*-2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.9953 millennia in years?\nAnswer: 463995.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15\/4 (b) -2 (c) 2 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 5*o + 9*o - 1012*o**2 + o**3.\nAnswer: o**3 - 1012*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 = 8. Let f be 0\/(-2) + j\/(-1). Calculate the common denominator of (-123)\/12*f + -2 and 19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112734, 1, -1, 2, 6, 5 in descending order.\nAnswer: 6, 5, 2, 1, -1, -112734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 15 - 11 - (-7 + (13 - 14))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506 = -5*b + 84. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 338.2 + -322.8. Let x = -24 - 75.4. Let d = q + x. Is -1 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*l = -146*l - 90. Let i(q) = 110*q**3 - q**2 - q + 2. What is i(l)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23464196?\nAnswer: 2, 7, 131, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/808 and 35\/48.\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 5*b**2 - b - 4. Let v(a) = a - 9. Let p be v(4). Let d be t(p). Does 18 divide (27 - d\/(-1)) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000286?\nAnswer: 2, 7, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 2*c)*(2 - 3 + 2 + (0 + 1 - 2)*(-5 + 2 + 2) - 3 + 1 + 1 + (4 + 0 - 3)*(1 + 0 + 1) - 2 + 2 + 3) - 2*c + 1 - 1.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.69 + -65. Let g = 3.31 + k. Let s = -0.07 + -0.01. Which is bigger: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16861, -67480, -151835, -269926, -421753, -607316?\nAnswer: -826615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - -31 - (-3 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1424)\/(-80) - 21)*(0 + -150). Calculate the highest common factor of 1824 and k.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*j - 221 = 5*j, 5*j - 20 = 0. Let w = -62 + -12. Is u > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b + 4. Let v(h) = h**3 + 19*h**2 - h + 19. Let z be v(-19). Suppose 5*s - b = z. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/546 and -16\/455.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817.634t in grams?\nAnswer: 4817634000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(10) + (sqrt(90) - sqrt(10)) + sqrt(10))*-4)\/sqrt(5) - (sqrt(16)\/sqrt(4)*-6)\/(sqrt(20)\/sqrt(90)).\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -34 - 30 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 377\/15 + (-16)\/120. Suppose -u + 6*u = t. Suppose u*z + 5 = 0, q - 5*z = -q + 17. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 18*g**2 + 8*g - 2. Let u be k(1). What is the greatest common divisor of 2000 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-14) - (-1)\/(-7). Suppose -4*n + 5*o + 48 = -n, 3*o = m. Suppose k - a = -3*k + 49, -k = -a - n. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 79. Let p be z(14). Let u(s) be the third derivative of 0 + 0*s - 4\/3*s**3 - p*s**2 + 11\/24*s**4. What is the derivative of u(i) wrt i?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.9 - -11.9. Put -0.2, 0.6, 0.2, q in ascending order.\nAnswer: -0.2, q, 0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 49099 + 959 = 18*j. Calculate the greatest common factor of j and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9322884 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1450 divided by -31963\nAnswer: -1450\/31963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (480*j - 973*j - 6 + 466*j)*(0*j**2 - 5*j**2 + 4*j**2).\nAnswer: 27*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = -0*i + i, -3 = -4*i + v. Suppose r + 5 = -i*r - 2*o, 4*o + 5 = -r. Sort -0.4, 1, r in descending order.\nAnswer: 1, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1)\/(4\/(-82)). Let z = -165\/4 - w. Which is the second biggest value? (a) z (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26987 - 3*d - 26987 + 424*d**3 - 39*d**3 - 326*d**2 wrt d?\nAnswer: 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x**3 + 0*x**2 + 0*x**4 + 19\/5*x**5 - 24*x - 19. Find the first derivative of l(r) wrt r.\nAnswer: 76*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 10*b - 25. Let o be h(-12). What is the units digit of (410\/(-4))\/((-9)\/6 - o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1468 + 322. Does 9 divide n\/42 + 4\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 390 and 31548894.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*q - 16, -i + q = -q + 1. Let f be 2\/(7 - i)*10. Suppose 0 = g - 3*k, -f*k + k = g - 7. Solve 5*j = -18 + g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4)*(65\/(-30))\/13.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n. Suppose -3*y + 7 - 1 = n. Suppose 0 = -j - y*j + 39. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(500) + 2)*-4 + 3 + 0 + 2))**2.\nAnswer: 240*sqrt(5) + 8009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(468))**2*5 + sqrt(468) + (-4*(sqrt(468) + -2))**2.\nAnswer: -198*sqrt(13) + 9937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.04987 * 4.\nAnswer: 56.19948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**8\/2240 + y**7\/672 - y**6\/960 - 4*y**4\/3 + y. Let s(u) be the third derivative of k(u). Factor s(r).\nAnswer: -3*r*(r - 1)*(4*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5250.3515 + -5252. Let u = -11.64895 - f. Let m = u + 10. Round m to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3078 = s - 2*l, 6215 = 5*s + 5*l - 9115. Calculate the remainder when 294 is divided by (-2)\/6 - s\/(-30).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 0 = 4*w - 5*h, -12 = -w + 4*h. Suppose -w*f - 61 = -157. What is the lowest common multiple of f and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18883*t = -19190*t + 2149 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.347 - 2.4. Let y = -243.947 + k. Let z = 244.237 + y. Round z to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18.78 and -0.25.\nAnswer: -19.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = 27*p + 196 + 202 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/20 + 5*p**2 - 3*p. Let j(t) = -t**3 - 7*t**2 - 5*t + 6. Let a be j(-6). Is c(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57396*a - 822477?\nAnswer: 57396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2366.\nAnswer: 5\/2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1) - (-1 - -1). Let b(l) = l**2 - 7*l + 1. Let w(y) = 2*y**2 - 8*y + 2. Let x(o) = k*w(o) - 4*b(o). Factor x(i).\nAnswer: 2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 39b0?\nAnswer: -39aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19767 + -355943\/18. What is the common denominator of o and 92\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2910057 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*n - 5*v, 0 = -2*n - 4*v - 17 + 7. Suppose -5*m + o = -24, -m + 5*o + 13 = -11. What is the highest common divisor of n and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w + 4. Let m(o) = 2*o + 24. Let k be m(-10). Let v be z(k). Let j = v - 4. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/7 - 123208*v**2\/7 + 3794929605*v\/7 + 7590352050\/7 = 0.\nAnswer: -2, 61605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = -1. Which is the closest to 0? (a) z (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/19 (b) -4 (c) -0.1 (d) -17 (e) -2\/53 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -78*h + 13. Let f be z(-2). Let m(r) = 5 - 170*r + 0 + f*r. What is m(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5535*q**3 + 839*q**2 + 2*q - 660191.\nAnswer: -16605*q**2 + 1678*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 28. Suppose a = -3*s - 2*s + 15. Differentiate 4*t**3 - 19*t**s + 10 + 7*t**3 with respect to t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 14. Let n(c) = -2*c - 6. Calculate the smallest common multiple of r and n(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**(3\/20)\/(l**(-2))**5*((l**0\/l)**(-13))**(-51\/4) assuming l is positive.\nAnswer: l**(-3109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1465050 and 27?\nAnswer: 13185450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -423\/91 - -66\/13. Let p = -10.956 + 13.956. Let j be 3\/4*5\/(-15). What is the closest to p in j, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from hhhvvjvvvvsjj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 1. Let l = -5 - -4. Let p be j(l). Let h(f) = -4*f**2 + 2*f + 3. Let z be h(-1). Sort p, z, 2 in descending order.\nAnswer: 2, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003439 rounded to 7 dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35964 + -35956. Solve -2*p = b*p + 60 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzyyzzzzzzyzzkzk. Give prob of sequence kz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 10*g**2 + 15. Give m(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 3984 = -12*c. Let j = c + -257. Is j at most -37\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 40 = -5*s, -30*n + 32*n = -2*s + 32 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((132\/(-56))\/((-342)\/(-399)))\/(-3*1\/84).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2, 8, 46 in descending order.\nAnswer: 46, 8, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (-5 + (-4 - -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/9)\/((-956)\/(-318) - 3). Let w = x + 73. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 117 = -2*d - 3*c, 4*c = -3*d + 117. Let q be (26\/d)\/((-8)\/6). Let g = -1 + 2. Sort q, 2\/9, g in descending order.\nAnswer: g, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(1\/4))**(2\/11)*i\/(i\/(i*i\/i**(-5)))*i**7 assuming i is positive.\nAnswer: i**(317\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47365 + -8808. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 33*i**2 + 26*i + 60. Let o be u(-30). What is the common denominator of (-6)\/(-8) - (4 - 7947\/o) and 117\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b**5 + 2364*b**4 + 1563*b**3 - 2364*b**2 - 1572*b = 0. Calculate b.\nAnswer: -262, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*d + 8. Find the second derivative of -n**2 + 5*n + n**2 + d*n**5 + 3*n wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*l - 934*l + 152 = -1851*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6 = k, -4*k - 8 - 13 = -140*t + 286*t - 141*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/u**(-22)*u*u)\/u)*u**(-18\/7))**(-8\/5))**30 assuming u is positive.\nAnswer: u**(8592\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 - 12*p - 3*p + p. Let q = 0 - -1. Give f(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/16*((-20)\/25)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*x = 10, -208*c + 8 = -204*c - 2*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.2188?\nAnswer: 0.4376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(208)*6*6*-6.\nAnswer: 4320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let l be b(-1). Let m(r) = 3*r**2 + r + 2. Let f be m(l). Solve 2*a - 4 = -j + 5, -21 = -5*j - f*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2336*b**2*k**4 + 18*b**2*k**2 + 22*b*k**4 + 4503*b*k wrt k.\nAnswer: -56064*b**2*k + 528*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 241462453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a321d (base 15) to base 12.\nAnswer: -516684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/60 - c**4\/24 + 2*c**3\/3 + 4*c**2. Is m(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**4\/4 + 10*o**3\/3 - 3*o**2 + 7*o + 4. Let w be v(-10). Let q = w + -16. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(147)*-2 + 2)**2 + (sqrt(147) - 5*((sqrt(147) - (sqrt(147) - -1*sqrt(147))) + sqrt(147)) - (sqrt(147)*-1 + -5))**2.\nAnswer: -2347 + 420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3465?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 u, and 1 b when four letters picked without replacement from {b: 1, u: 4, v: 3, g: 4, h: 2, e: 3}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -22. Let m = t - -17. Suppose 3*n = -0*n + 15. What is the nearest to 0 in 2\/3, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -721\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 972 divided by -243\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/29514 and 65\/68866.\nAnswer: 206598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2) + (0 - -2). Let f(l) = 3 + 2*l**2 - 3 - l + w - l**2. Calculate f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 438228 and 20461.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1553248723.\nAnswer: 13, 823, 145177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 34*h - 36 = 0 for h.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -18*q**2 - 20*q**2 + 24*q**2 + 17*q**2. Let k(o) = -7*o**2 + 24. What is i(k(n))?\nAnswer: 147*n**4 - 1008*n**2 + 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1644366 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5386*a*m - 1222*a + 345443*m + 99 wrt a.\nAnswer: 5386*m - 1222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3217103, 0, 3 in ascending order.\nAnswer: -3217103, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 5. Let t be a(9). Let i(x) = -2*x**3 - 3*x**2 + 1. Let d(p) = 2*p**3 + 3*p**2 - p - 2. Let m(s) = t*i(s) + 3*d(s). Let q = -8 + 6. What is m(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-330)\/1920)\/(6\/4) and 37\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402814 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-150)\/42 + (-93)\/21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z**2)*z*z**(-2\/21)*(z\/((z**(3\/4)*z)\/z)*z*z*z)\/z**(2\/17)*z**(-1)\/z*z*z**(-5)\/z*(z*z**(-1\/13))\/((z\/(z*z\/z**(-7)))\/z) assuming z is positive.\nAnswer: z**(73517\/18564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 4*p + 3*g + 24, 2*g - 298 = -5*p. Let j be (2\/(-4))\/((-10)\/p). Solve 0 = -j*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 2*t = -16. Let v = 0.02 + -0.002. Let m = -0.318 + v. Is m < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -517, -508, -487, -448, -385?\n\"Answer: m**3 + 2*m - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 805 + -805. Solve -3*b - i + 12 = o, 5*b - 2*i = 14 + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.05, 6106, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 671*y**5\/5 + 535*y - 344. Differentiate a(f) with respect to f.\nAnswer: 2684*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 900020.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 60 + 12)*(-q + 0 + 0)*(0*q + 2*q - 4*q).\nAnswer: -138*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2590 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385879.749 rounded to the nearest one thousand?\nAnswer: 1386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 131. Suppose -l - a + 3 = 0. Let c be 1\/9*(-12)\/(-5). Is l at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g + 28. What is the smallest common multiple of j(-8) and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2486662.2725 - 3580\nAnswer: -2490242.2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 l when four letters picked without replacement from ljljfglgylfyy?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40423026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4118055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -8*w - 16 - 3\/4*w**2 = 0.\nAnswer: -8, -8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuaaupuww. What is prob of sequence www?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 1, o: 1, q: 1, e: 2, h: 1}. Give prob of sequence moh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from qebjfgf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630887*w**2 - 1261768*w**2 + 630907*w**2.\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1976361116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -45*t + 3875. What is a(86)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 469*g + 6658. What is t(-14)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9821 or -242.52?\nAnswer: -242.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.115 at most 2761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Let n = 115649\/5 - 115646\/5. What is the nearest to 6 in -1\/7, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**0))**41*((r**0*r*r)\/r)**(1\/37)*(r**1\/(r**(-1\/2)\/r*r*r))\/(((r*r**(1\/5)*r*r)\/r)\/r*r**(4\/5)) assuming r is positive.\nAnswer: r**(-109\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*n + 16 = 0, -4*n = 4*z - z + 16. Suppose z = 2*o - 0*o + 8, 103 = 5*r + 3*o. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 5) to base 7\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2)*(0 - 1). Let i(a) = -a**3 - a**2 + a - 1. Let m be i(-2). Let s = g - m. Solve 2*w + s*w = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1)\/(60\/50). Let j(v) be the second derivative of 1\/2*v**2 + 4*v + 1\/20*v**t - 1\/12*v**4 + 0 - 1\/6*v**3. Suppose j(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-26)\/c)\/c**25*c**(1\/29)\/(c**(2\/37)*c) assuming c is positive.\nAnswer: c**(-56890\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 3*l - 6. Let i be (1*-1)\/((-3)\/18). Let y be c(i). Find the common denominator of 93\/16 and (-4)\/(-12) + 14\/y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -13*a**7\/105 + 11*a**6\/48 + 49*a**5\/120 - 55*a**4\/48 + a**3\/4 - 1674*a**2. What is b in z(b) = 0?\nAnswer: -1, 3\/52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.91 + 0.09. Let r = 36921 - 36921. What is the nearest to 2\/5 in -171, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26908 and 26096.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2. Let u(s) be the third derivative of 11*s**4\/2 + 33*s**2 - 2*s. Calculate u(x(r)).\nAnswer: -264*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 6. Let q = 29.83 - 30. Let g = -0.13 + q. Which is the closest to 2\/5? (a) r (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2*-4)\/(sqrt(36)\/sqrt(4)*4).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Let q(t) be the second derivative of -t**4\/12 - t**2\/2 - 2*t. Let g be q(l). Which is the third biggest value? (a) -4 (b) -4\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1)\/((-67)\/(1005\/6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-112)\/(-280)*4\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 286048744 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5426, -19920, -44076, -77894, -121374, -174516, -237320?\n\"Answer: -4831*l**2 - l - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**5 - 3*l**5 + 4*l**5)*(-9 - 14 + 9) + (-4*l**5 + 2*l**5 + 3*l**5)*(1 + 3 - 6) - 4*l**5 + 6*l**5 - 4*l**5 + 0*l**3 + l**5 + 0*l**3.\nAnswer: -73*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9389745 and 9765?\nAnswer: 65728215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*sqrt(40))\/(sqrt(605) + -3*sqrt(605)))**2.\nAnswer: 18*sqrt(2)\/11 + 1107\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 2*z**2 + 2*z. What are the prime factors of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 2. Let l(m) = m**3 - 8*m**2 - 8*m - 5. Let d be l(9). Let z(b) = b - 3. Let s(u) = d*z(u) - 5*w(u). Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*q + 76 = 2*k, 92 = 4*k - q. Suppose -17*b + k*b - 455 = 0. 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 341 minutes after 12:35 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s - 5. Let b(w) = -8*w**3 - w**2. Calculate the remainder when 20 is divided by b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by -520.\nAnswer: 47\/520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5457 plus 0.681?\nAnswer: -1.8647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232161 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1320)\/396*3*14\/(-5) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 1 - 1 + 43 + 7*y + 35 - 79 + (0*y - y + 0*y)*(-1 + 4 - 1) + y + 2*y + 0*y to the form x + c*y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 51*o**3 + o - 1. Is x(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 358, 822, 1482, 2344, 3414?\nAnswer: 4698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.024 + -8.976. Let x = f - -10. Let r = x + -0.8. Which is the closest to r? (a) -1\/4 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*a**3*l**3*u - 5*a**3*l**3 - 15*a**3 - 3*l**3*u - 3*l**2 + 14*l*u wrt l.\nAnswer: 324*a**3*u - 30*a**3 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a + x, 4*a = -2*x - 6. Let r(q) be the first derivative of -5*q**2\/2 + q + 7. Let t(d) = 4*d. Calculate a*r(m) - 4*t(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3)\/u*u)\/((u*u\/((u*u\/(u*(u*u**(4\/19))\/u))\/u))\/u))\/((u\/(u\/(u*u**(-5\/13)\/u))*u)\/(u\/u**(-20))))**(14\/5) assuming u is positive.\nAnswer: u**(11186\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Let t = a - 3.5. Let p = -0.7 - t. Sort 1, p, -0.4.\nAnswer: -0.4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/4*-2 - ((-53856)\/(-462) - 111). Factor -2\/7*i**2 + x + 36\/7*i.\nAnswer: -2*(i - 19)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p - 55*p = 36 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 15*p - 4 - 1 to the form a + g*p and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -411264.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**3 + 5*z - 5. Suppose -d - 3*a - a + 12 = 0, a = -5*d - 16. Let m = 199 - 206. Let f(i) = -11*i**3 - 9*i + 9. What is d*f(r) + m*v(r)?\nAnswer: 2*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 13*u + 17. Let f be x(-14). Suppose -5*q + 4 = -f*d + 3, -4*d + 5*q = -2. Factor 3\/2*k**2 + 2*k**d - 9\/2*k + 1.\nAnswer: (k - 1)*(k + 2)*(4*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 403 - 405. Let l(u) = -5*u**2 + 2*u + 2. Let f(v) = 4*v**2 - 3*v - 3. Let a(t) = t**2 + 5*t - 3. Let o be a(-5). What is g*f(m) + o*l(m)?\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5320444, 10640927, 15961410, 21281893?\n\"Answer: 5320483*m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -16.7, -2\/5, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 8*k**2 + 7328*k - 167552.\nAnswer: -2*(k - 44)*(k - 28)*(k + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -418.38 at most -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1444 and 9?\nAnswer: 12996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10454200*b**4 - 353207258 wrt b?\nAnswer: -41816800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -4, -0.3, -1\/9, 2\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/29, -0.06, -39, 1\/7, 4 in increasing order.\nAnswer: -39, -0.06, -1\/29, 1\/7, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355993*w - 711991*w + 355993*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 0.1143937.\nAnswer: -0.009151496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(3 - 40\/12). What is the nearest to -4 in 41\/5, -5, s, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20166647\/15 at most as big as 1344442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1332*l**5 + 12*l**3 - 30435*l?\nAnswer: 26640*l**3 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n + 8 = 0. Let b be (6\/n)\/(4\/28). Let s = -2 - b. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e + -fbfb?\nAnswer: -fc29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2635, -2334, -2029, -1720, -1407, -1090, -769?\n\"Answer: 2*c**2 + 295*c - 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(4*sqrt(3)*3).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2461 and 17120?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(80) - (-2 + sqrt(80)))*-6 - sqrt(80) - (sqrt(80) + sqrt(80) + 2*sqrt(80) + sqrt(80) + -5))**2.\nAnswer: 336*sqrt(5) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*c - 23, -4*c = -5*a + 2 + 64. Suppose 0 = a*o - 4*o. Solve 5*q - 3*f + 24 = 0, 0*q + 2*q - 5*f + 21 = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28057590 a multiple of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, t: 1, s: 1, k: 9}. Give prob of picking 1 x, 1 s, and 2 k.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/78*(-4)\/(16\/12).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 + 292. Solve 4*r = -n - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Suppose -2*j = -5*v + 17, 1 = 4*v - 3. Let y(a) = -a**2 - 10*a + 3. Let d be y(j). Solve 3 = -z, -5*i + g*z + z + d = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 2, u: 2}. What is prob of picking 4 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 7*f**2 + 7*f - 7. Let b(a) = 41*a + 77. Let i be b(-2). What is m(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 - 2*j**5 + 3*j**5 + (j**3 + 1 - 1)*(-2*j**2 + 0*j**2 + 3*j**2) + 2*j**5 - 2 + 2.\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115951622 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31575\/83820 - (-4)\/(-22) and 149\/6.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*f - 4)*(-f**2 + 2*f**2 + f**2) - f**3 - f**3 + 3*f**3 + (21 - 5 + 43)*(0*f**3 + 2*f**3 - f**3) as o*f**3 + m + g*f + u*f**2 and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900772691 to the power of 1\/2, to the nearest integer?\nAnswer: 43598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.093? (a) 1 (b) 42\/71 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 1\/(-1) - -1) + 18. Solve 5*i = -4*d + n, 4*i = 2*d + 3*i + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-7)\/21 - (-67)\/3 and 10\/(2 - 1)*2?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 4 + 6*p + 16*p - 23*p + p.\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29142, -58267, -87392, -116517, -145642, -174767?\n\"Answer: -29125*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -30000*c**2 + 36*c - 31. Let p(y) = -12000*y**2 + 15*y - 13. Calculate 12*p(o) - 5*u(o).\nAnswer: 6000*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -29*n + 9*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 33\/(-15) + 7\/35?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -60a (base 13) to base 6\nAnswer: -4424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 7. Let a be c(7). Let z = -4 + 8. What is the derivative of 4*v - z*v + a*v - 5 - v wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16)**(1\/14)\/(j**(-5\/7)*j**(-9)) assuming j is positive.\nAnswer: j**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5*c + 8 = 0, 0 = -20*j + 15*j + 4*c + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -101188, -202376, -303564, -404752?\n\"Answer: -101188*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.0155 - -0.0155. Sort -2, -7, x in descending order.\nAnswer: -2, -7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/112*(-12 - (-287)\/28)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -73. Let v = s - -48. Let j(w) = 12*w + 6. Does 7 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 - 143 = 2*g. Suppose 2*p + z + 173 = g, 4*p + 2*z = 4*z - 326. Which is smaller: -82 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:13 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 329775857 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3106500 (base 8) to base 4.\nAnswer: 3020311000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 9 - 11. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 5*s - 15*w - 845, -5*s + 875 = 5*w. Suppose 0 = 8*g - 1868 - s. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-39)\/(-15) - (2\/(-5) + 0). Calculate the greatest common divisor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 9*u**2 - 4*u - 4. Let h be t(10). Let b = -52 + h. Find the third derivative of b*o**2 + 22*o**2 + 18*o**2 - 14*o**2 + 18*o**5 wrt o.\nAnswer: 1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -28 = -4*j + 5*w, -2*j + 10 = -j - i*w. Differentiate -9 + 11 - 10 + y**j wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283913.879 - -283619. Let g = q + 295. Let s = g + -0.207. What is s rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h + 48. Let w = 24 + h. Solve -2*c + 5 + 3 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -321 + 319. Let w = 29.1 - -8.9. Let f = 37.9 - w. What is the smallest value in a, 3, f, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -395\/118 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002111 (base 3) to base 11.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215392369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*r - 18, -3*k + 8 + 6 = -r. Determine w, given that -42 - 40 + 24 - 6 - 64*w + 16*w**3 + 4*w**k = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*w + 1395 = 75*w + 58*w for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -94ea9?\nAnswer: -94eb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -51, 4 in increasing order.\nAnswer: -51, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1825*h = 1873*h - 3970*h - 14144 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(8\/1)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 6*m**2 + 24*m.\nAnswer: -3*m*(m - 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182cb (base 15) to base 2.\nAnswer: 10011000110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -218 greater than or equal to -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*p + 480612, -2*n + p + 146528 + 334109 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (0 + (-14)\/1). Suppose -o - p = -2*f, 0*f + 2*o = -3*f + 30. Let v be (-1)\/((-6 + 2)\/f). Calculate the greatest common factor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/8 + (-5)\/(-40)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Suppose -3 + u = d. Solve 0 = -w + 4 - d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8982378 centuries?\nAnswer: 1077.88536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = -12. Let w(y) = y**2 - 5*y. Let d be w(n). Which is bigger: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 6 (c) -3 (d) -324673 (e) -2\/5 (f) 4 (g) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/184 + (-930)\/(-115). Suppose -u*w - 96 = -24*w. Solve w*s + 7 = 13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2 = -18. Let i(f) = -3*f + 5. Let v(d) = 2*d - 3. Give h*v(j) - 3*i(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -3, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*-2*(-224)\/64.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0 (c) 4 (d) 42 (e) -2 (f) 365\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5086059.\nAnswer: 3, 11, 23, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102559 = -151*h + 153*h - l, 205091 = 4*h + l. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -280, -1014, -2452, -4828?\nAnswer: -8376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.73529ms in microseconds?\nAnswer: 32735.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5899573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 58) + 21 + 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10953*k - 569548. Give u(-52).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 14*i**2 - 28*i + 11. Let r be y(11). Let v = r + -56. Calculate the greatest common factor of 110 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**2 - 2*l - 16. What is the lowest common multiple of b(4) and 64?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1874 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**20*m*m*m*m*m**28)\/(m**(-3\/17)\/m)**30 assuming m is positive.\nAnswer: m**(1484\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (0 + sqrt(325))) + 3 + (sqrt(325) + -2*(sqrt(325) + 0 + sqrt(325) + sqrt(325)) - sqrt(325)))**2*-1*-4.\nAnswer: -720*sqrt(13) + 46836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3970523*d**4 - 3*d + 2023465 wrt d?\nAnswer: 47646276*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 - 1a7e7?\nAnswer: -1a821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i**2)*((4*i + i + 4*i)*(i - 3*i + i) - i**2 + 3*i - 3*i + 3*i**2 + 0*i**2 - 2*i**2).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 52, 79?\n\"Answer: 27*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5967*g + 954729. Calculate o(-160).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/1*10\/(-8). Let t(r) = -7*r + 6. Let i(c) = -7*c + 5. Suppose 8 = 140*y - 142*y. Let m(n) = u*i(n) + y*t(n). What is the derivative of m(k) wrt k?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 times -1.6?\nAnswer: 9.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/(0 + 1). Let b be (a - 2)*20\/(-30). Let k(y) = 5*y**b + 0 + 0*y**2 + 0. Let r(u) = 2*u. Determine r(k(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*i + 24. Let d(g) = 2*g**2 + 6*g - 9. List the prime factors of d(i).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (1 + sqrt(396)) - sqrt(396))**2*1.\nAnswer: 12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594676 by -2.\nAnswer: -297338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(45) + -1)**2 - (-5*(sqrt(5) - (0 + sqrt(5))**2) - (sqrt(500) + 2*sqrt(500)))) + -2)*-5.\nAnswer: -265*sqrt(5) - 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 137*a. Let l(g) = -g**2 - 3*g - 3. Let w(y) = -6*y**2 - 16*y - 16. Let t(z) = 16*l(z) - 3*w(z). Calculate t(k(q)).\nAnswer: 37538*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8 + 1)*1*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o = 40*o - 3*i + 489, i = 2*o - 189. What is the greatest common divisor of o and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**3 - 95*c**2 + 90*c = 0?\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*l - 1247 = 950 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -174, -280, -366, -426, -454?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41715\/33904 - 1\/2608. Let g = -439 - -437. Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18))**(-15)\/(z**(-30)\/(z**(-31)*z)) assuming z is positive.\nAnswer: z**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 26 = -4*a, 0*u - 3*a + 91 = 5*u. Suppose -u = -3*f + 64. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1453110*u**3 - 420 - 7*u**2 + 3*u**2 - 1443438*u**3 wrt u.\nAnswer: 58032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(((i\/(i**4\/i))\/i)\/i)*i\/i**5*i*i**(4\/5)*i\/i**(3\/8) assuming i is positive.\nAnswer: i**(137\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 3*s - 17. Let h(d) = 631*d + 1 - 5 - 632*d + d**2. Let m = 11 + -7. Let o(x) = m*a(x) - 18*h(x). Find b such that o(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 897 - 897.5. Which is the nearest to -0.1? (a) m (b) -3\/5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -83*k**2 + 34*k**2 + 16*k + 16*k**2 + 34*k**2. Determine s(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 34*a - 43. List the prime factors of x(-14).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 2:19 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + 11010001110111?\nAnswer: 11010001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -26. Let v(y) = 2*y**2 + 29*y + 19. Let k be v(z). Solve 3*o - 3*b - 6 = -7*b, k*o - 2*b = 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 760, 1197, 1704, 2305?\nAnswer: 3024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*q + z, -7 = -q - 2*q - 4*z. Suppose 0 = -5*u - l + 575, 4*u - 605 = -u + q*l. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22376746 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + (sqrt(171) - (sqrt(171) + 2)*-2) + (sqrt(171) + -3)*5 + -1)**2.\nAnswer: -576*sqrt(19) + 11090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = i + 5*d, 2*i + 5*d = 7*i + 40. What is the second smallest value in -0.1, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/51 + 145\/204. Let l = -42 - 7. Let x = l - -635\/13. Which is the closest to x? (a) -2\/5 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 11 = -440*s + 439*s, 5*s - 4*o + 44 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 4. Let a be s(10). Is (-2)\/a - 20\/(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/9 and 254\/30 - (-2)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + 61. Suppose -c = 5*i - 2*c - h, 16 = -4*c. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -15, -12, -7, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48125?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1380 - 192 + 790)*(-1 + 0*b - 2*b + b) as s + q*b and give q.\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -99. Suppose -3*s = 5*w - 20 + 6, -x = -s - 2*w. Find the third derivative of 4*k**2 - 37*k**2 + 27*k**6 - s*k**3 + 8*k**3 wrt k.\nAnswer: 3240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*f = 38, 4*z - 36 = 103*f - 99*f. Solve -4 = -2*l - m, -25*m + 22*m = z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:46 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4140)\/(-520))\/(306\/663))\/((-2)\/(-8))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*o = 16, 2*t + 2*o - 8 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8473*o - 1610 = -8519*o for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 30 = y - 4*k, 2*k - 40 = -2*y. Let m = 9 - -2. Let o = y - m. What is the lowest common multiple of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1295661, -2591321, -3886981, -5182641, -6478301?\nAnswer: -7773961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:18 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**2 - 2417*l + 59353. Determine z(143).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15 = -5*g, 0 = -2*w - 4*g + 3 + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40 (b) 16\/9 (c) -4 (d) -12 (e) 0.4 (f) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -557561 + 557615. Let u = 1111 + 239. What is the greatest common divisor of p and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 - 3*r**4 - 2*r**4 + (r**3 - 2*r**3 - r**3)*(0*r - 2*r + 4*r).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 t when four letters picked without replacement from {n: 5, k: 1, r: 1, a: 2, p: 1, t: 7}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 185832 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*c + 128 + 12, 2*c = 5*b + 27. Let n(x) = -4*x - 11. Let f be n(-6). Let l be f + (4 - 6) - -2. What is the greatest common divisor of l and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-90))\/((-24)\/180)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 32*o**3 - 54*o**2 + 26*o + 2. Let i(f) = f**4 + f**3 + 1. Let c(u) = -2*i(u) + y(u). Solve c(t) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 2*d + 1\/6*d**4 + 1\/2*d**2 + 5\/12*d**3 + 0 + 1\/40*d**5. Determine k so that m(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -7*p + 6*p + 7, -4*p + 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -792 + 166274?\nAnswer: 1656a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/3)\/(-8*(-7)\/2016). Suppose -5*b - n = -8*b - 3*l, -2*b + 3*l = -133. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -28. Suppose -13 = -2*y - 3*n, -4*n + h = 2*y + 2*y. Suppose -4*c + 4 = -4*q, 3*c - 119*q + 120*q = -17. Put y, -5, c, 3 in descending order.\nAnswer: 3, y, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*15\/1950*-5.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0392997 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - p = 614168, a - 5*p = -32697 + 186239. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -25, -6*d + 3*d - 4647 = -u. Let q = -74505\/16 + u. Find the common denominator of ((-202)\/(-2))\/(4 + -10) and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 26. Let f be 1\/4 + s\/(-24). What is the smallest value in -0.2, 1, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38126, -76287, -114444, -152597?\n\"Answer: 2*t**2 - 38167*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2351\/2 - 58901\/50. What is the common denominator of -8\/25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 9*t**2 - 9*t - 6. Let w be s(-8). Suppose -2*u + 22 = w*u + o, -4*o - 17 = -5*u. Calculate the least common multiple of 20 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 17*v**2 - 270*v - 3190. Let w be p(-14). Determine l so that -1\/4*l**w - 3\/2*l - 5\/4 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/5 - 317*b**2\/5 - 24311*b\/5 + 25921 = 0?\nAnswer: -161, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-36))\/((-50)\/(-80)*8). Which is smaller: m or 30?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - d)*(4 - 6*d**2 - 4).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 180 = -2*u. Find the common denominator of (-3424)\/(-960) + 1\/((-5)\/2) and (-165)\/25*u\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75453 (base 8) in base 4?\nAnswer: 13230223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128812703*n**2 + 3536*n + 3191 wrt n?\nAnswer: 257625406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8739737939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 0*g**3 + 0*g**2 + 1\/6*g**4 - 18*g + 0. Let q(k) = 6*k**2 - 5*k. Determine q(i(h)).\nAnswer: 24*h**4 - 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 365*m**2. Let l(d) = -419*d**2. Calculate v(l(o)).\nAnswer: 64079765*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-1) - 4)*-1. What is the derivative of -u**3 + 2 + 3*u**3 - 2*u**3 - 3*u**f wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from khxhx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**4\/11 - 534536*i**3\/11 - 9524219904*i**2\/11 - 56564976900832*i\/11 + 22627514669728\/11.\nAnswer: -2*(i + 17818)**3*(5*i - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 11*l**2 - 11 + (-2*l - l**2 + 2*l)*(0 + 0 + 2) as f + r*l + s*l**2 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/27 and 119\/37236?\nAnswer: 335124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/6 + 6109*k**2\/6 - k\/6 - 6109\/6.\nAnswer: (k - 1)*(k + 1)*(k + 6109)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1574 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4217\/4 - 1040. What is the common denominator of q and 53\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4099*n + 28686. Determine c(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2142*b**4 + 4750*b**4 + 12687*b**4 + (-1 + b + 1)*(3*b**3 + b**3 - 3*b**3).\nAnswer: 19580*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 11 = l. Differentiate -l*h**2 + 2 - 1 + 11*h**2 wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*q - 202 + 15*q**3 + 404 - 5*q**4 - 202 + 5*q**2.\nAnswer: -5*q*(q - 3)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320241*s + 320276*s - 1120 = 0 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 107, 253, 447, 683, 955?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4.3 (b) 4\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 + -291. Let d = l + 147. Let b = -81 - -241\/3. Sort b, d, 0 in decreasing order.\nAnswer: d, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-1417)\/(-3))\/(8\/(-24)). Suppose 4*p = 7 + 5. Suppose -8*w - p*w + c = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-13)))\/r)**(26\/7)\/(((r\/(r*r**15*r))\/r*r)\/((r\/(r*r**(2\/3)))\/r)) assuming r is positive.\nAnswer: r**(1237\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41, -34, -5, 58, 167, 334?\n\"Answer: 2*a**3 - a**2 - 4*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1955*g. Let h(v) = 21*v. Let d(t) = -187*h(t) + 2*m(t). Let z(j) = 7*j - 12*j + 3*j. Give d(z(u)).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -113\nAnswer: 112\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 32864815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5437882 - 100?\nAnswer: -100.5437882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-60)*(2457 + 1). Round o to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133600 and 20000?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 486.\nAnswer: -1\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4.308816?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44\/105, 1, -12250?\nAnswer: -12250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) 0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2861?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1885 and 1803191?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-4) - (1 - 0). Suppose -4*m + 6 = -j. Suppose m*n = 4*h - 360, 96 = 2*h - h - 2*n. Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + x - x + 0 + x + 0 + (-4*x + 4*x + x)*(-2 - 2 + 2) + (-x - 4 + 4)*(2 - 47 - 89) in the form m + y*x and give y.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**3 + 6*h**2 - 5*h - 7. Let q(j) = -j**3 + j. Let c(w) = -a(w) - 5*q(w). Determine c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*z - 196*z - 684 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 278995 and 8425649.\nAnswer: 42128245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2.6. Let z = -3\/125 + -97\/125. What is the second biggest value in u, 2\/7, z, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z + 6. Let b be u(-5). Suppose -11 + b = 2*r. Let s(n) = -n - 4*n - 3*n - 4 + 6*n. Determine s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 108. What is the tens digit of (-48356)\/(-224) - u\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/18*(-3 - 0). Let x be s + -3 - 0 - -340. Suppose -x - 2186 = -2*a + 4*n, -3*a + 3783 = 3*n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6763*b**2 + 750 + 6083*b**4 + 6750*b**2 + 5847*b**4 - 837 wrt b?\nAnswer: 286320*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + -5 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -31*l + 0*l**2 + 0 + 11\/2*l**3. Let w(d) be the second derivative of d**4\/12 + d. Calculate w(i(j)).\nAnswer: 1089*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121061.\nAnswer: 121061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, q: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.31*13.08\nAnswer: -4.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931))**2*5 + sqrt(1900) + (sqrt(1900) + 1 - sqrt(1900))**2 - (-5 + 1*(sqrt(19) + -2) + 3 + sqrt(171)).\nAnswer: 6*sqrt(19) + 4660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -732\/11 - -67. Let j = 53\/44 - y. Let h be (3\/2)\/(-1 - 2). Which is greater: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c + 36 = -53*c. Solve 1 = 4*n - 3*p - c, -3*p - 4 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-6 + -2 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - n - 3*n)*(-3 + 1 + 0)*(-3 + 3 + 1)*(6*n - 2*n - 2*n)*(-1 + 1 + 5*n).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52246486?\nAnswer: 2, 71, 139, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191*l*u**2 + l*u - 927*l + 2*u**3 wrt u.\nAnswer: 382*l*u + l + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12394400 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 20 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 17*z**2 - 4*z + 8*z - z.\nAnswer: 17*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 1 + 8\/(-4). Suppose 0 = 4*a, 4*a = 2*x + w*a - 974. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4862093 and 12181.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2808\/10530*6\/4*1. Suppose -4\/5 + 4\/5*n**2 - k*n + 2\/5*n**3 = 0. Calculate n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)\/((8\/(-2))\/4). Sort -28, 3, 4, f in ascending order.\nAnswer: -28, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 55. Let p(m) = -6*m + 45. What is the tens digit of p(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -14 (b) -1\/8 (c) -345 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -73131064 smaller than -73131063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -628001 and -1.\nAnswer: 628001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27617 (base 14) to base 4.\nAnswer: 113233111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**2 - 15*b - 5. Let o(g) = -3*g**2 - 4*g - 1. Let t(c) = 2*j(c) - 9*o(c). Determine t(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3307 + 2245 - 2023)*(-7*o**2 + 2*o**2 + 4*o**2).\nAnswer: -3529*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 1. Let d = 16 + -15. Let b be q(d). Suppose -95 = -2*v - b*i, -3*v + 77 = -4*i - 8. What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40756094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j**3 - j**2 + 2*j - 1. Let n be w(1). Let p be 1 - -1*11\/n. Let r = 74 - 224\/3. Which is the third smallest value? (a) 0.4 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/24 - 4*o**2. Let r be (-3)\/(-2)*(-1 + 3). What is u(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/380489 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -87371873.25 take away 47.296?\nAnswer: -87371920.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/378 + 14\/(-63) + 0\/8.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40543 + -40547. Sort u, 1, -150.\nAnswer: -150, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185 + 9 + 476)*(2 - 2 - 3*q**3) - q - q**3 + q + (-1 + 1 - 2*q**2)*(0*q - 4*q + 0*q) in the form c + v*q + j*q**3 + x*q**2 and give j.\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*(m**(-1)\/m*m)\/m)**(-14) assuming m is positive.\nAnswer: m**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1692 (base 13) to base 8.\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbt when three letters picked without replacement from {s: 1, p: 1, d: 2, x: 2, b: 1, t: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 4. What are the prime factors of x(9)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-24)*(-11 - 414\/(-42)). Put 0, 3\/5, -0.5, w in decreasing order.\nAnswer: 3\/5, w, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 16 + 2 + 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.008 - -0.192. Are 4 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*t - 24 = 3*t, 4*k - 3*t = 18. Suppose -4*a = 5*v - 346, 71*a = 3*v + 69*a - 190. Calculate the smallest common multiple of k and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:17 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = -531. Suppose -d = -3*l + 2*u - 3*u, -l + 61 = u. Let i = l - 53. Solve 0*t - t - 1 = 5*x, -2*x + 5*t + i = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 142403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.4886 and -22.27.\nAnswer: -32.7586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 45*c - 3. What are the prime factors of j(4)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-46)\/(-6))\/(24 + (-154005)\/6417). What is the greatest common divisor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50364\/(-6995))\/(18\/(-110)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -47. Let i be 11\/4 + 15\/t. Suppose -r + 84000 = -i*r. Round r to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**6\/3 + 104*k**5\/5 + 25*k**4 - 104*k**3\/3 - 51*k**2 + 7675. Suppose m(z) = 0. Calculate z.\nAnswer: -51, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 257 - 931. Let x = 340 + i. Solve -o + 0 = x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -11 - 6 - 4) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o - 524. Determine u(-46).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*l + 3*m, -3*l + 0*m = m - 10. Let w = 929.9761 + 0.0239. Let a = -932 + w. What is the nearest to -1 in a, l, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 40*f**3 + 4*f**2 - 21*f + 91. Is n(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 204.52104 months?\nAnswer: 0.1704342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1638 = -23*f. Calculate the highest common divisor of f and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:56 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5.514239ug?\nAnswer: 0.000000005514239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*q - 32 = -144*q. Suppose 167 = q*n - 25. Solve -20*v + n*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 7317.\nAnswer: -1463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/2 + 3*c**2 + 7*c + 8459. Let d(y) = 4*y + 7. Let k be (-1)\/(1\/(4 - -1)). Determine k*i(o) + 4*d(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.035704, 0.4 in decreasing order.\nAnswer: 0.4, 0.3, -0.035704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3\/7 - 2*h**2 - 232*h\/7 + 72 = 0. What is h?\nAnswer: -9, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -25.95. Let q = -3 - t. Let s = -3.05 + q. Which is the nearest to -1? (a) 4\/5 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -364580*v**3*x - 2*v**3 + v**2*x - 2*v**2 - 237467748*v*x wrt v?\nAnswer: -2187480*v*x - 12*v + 2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 19*k + 1. Let s be z(1). Sort 4, -1, s.\nAnswer: -1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.508 + 2.\nAnswer: -2.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10405 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137\/3 + 46. Let n = u - 5\/6. Let m = 1\/103 + 407\/515. Which is the closest to 1\/3? (a) m (b) -4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 27*t**2 - 26*t + 2. Let d(l) = -l**3 - 54*l**2 - 53*l + 5. Let o(u) = 2*d(u) - 5*y(u). Factor o(z).\nAnswer: 3*z*(z + 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26534 - 38?\nAnswer: 264c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17665, 18792, 19919, 21046, 22173?\n\"Answer: 1127*d + 16538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5\/2 (c) 0.05 (d) 6 (e) -5 (f) 1\/6 (g) 18\/395\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/10*(-1150)\/(-920).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 1\/4, 0.3, -1 in decreasing order.\nAnswer: 42, 0.3, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + 1 + 1 + sqrt(700) + 0 + sqrt(700) + -2 + -2)**2 + 2.\nAnswer: -280*sqrt(7) + 2850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 16) to base 6.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/7 + 12*g**4\/7 - 8*g**3\/7 - 132*g**2\/7 - 90*g\/7 + 216\/7 = 0. Calculate g.\nAnswer: -4, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqpcze. Give prob of sequence qz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3340054 (base 10) to base 15.\nAnswer: 45e9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2. Let r(x) = x - 1. Let a(w) = -p(w) - 2*r(w). Let b(h) = 4*h - 4*h**2 - 15*h + 11*h. Calculate b(a(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -220131332332?\nAnswer: -220131333003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -457 != -2741\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 - 6*z. Let s(o) = 5*o**2 - 6*o + 1. Let j = 37 + -24. Let r = -11 + j. Let g(y) = r*s(y) - 3*k(y). Factor g(v).\nAnswer: -2*(v - 1)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670427?\nAnswer: 23, 103, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 5*z**2 + 3*z - 2. Let b be n(-4). Suppose -2*q + 12 = b. Suppose -124 = -2*j + 6*f - f, -q*f = 10. What are the prime factors of j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -25, -30, -35, -40, -45?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 488870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -6*x - 4*m - 38 - 42, -4*x = -3*m + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/16, -4, 0.1, -0.2, 23, -0.92?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -221*a**6\/30 - 113*a**3\/6 + 202*a. Find the second derivative of b(s) wrt s.\nAnswer: -2652*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*-2*1.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 122*o**2 + 3*o - 3. Let l be g(2). Let k = -9327\/19 + l. Let a = -1.8 - -0.8. Put k, a, 3 in decreasing order.\nAnswer: 3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-8))\/((-9)\/36). Let d be (a - 7)*(1 - 2). Suppose -3*w + 1103 = -d*h, -2*w - 2*h + 758 = h. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-1260)*0*1\/2*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*v + 279 = -0*v, -v = 4*n - 372. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = -40. Suppose -o = -4*c + 96. Calculate the remainder when c is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3536.31467 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, -4, -1, 7, -5, -201 in descending order.\nAnswer: 21, 7, -1, -3, -4, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 214, 0, 425 in decreasing order.\nAnswer: 425, 214, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - o + 11 - 53, 2*l + 98 = 5*o. What is the units digit of (l\/55)\/(4\/(-110))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - f)*(2 - 4 + 3) + f - 6*f + 3*f)*((0 + 1 + 1)*(1 + 2 + 0) + 12 - 2 - 9).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in centuries?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.64 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/26 + (-18606)\/(-1092). Solve -p*v - 65 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-300)\/(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72, 116, 136, 126, 80, -8?\n\"Answer: -q**3 - 6*q**2 + 69*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**6\/120 - 49*m**5\/15 - 3135*m**4\/8 + 3267*m**3 + 223*m**2 - 3. Factor x(s).\nAnswer: -(s - 2)*(s + 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319194.551 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -33\/67, -2, 3\/58, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -6 + (10 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdnqznzzqqrnzqzddrr. What is prob of sequence qr?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 24*x - 1. Let d = 93 - 92. What is the common denominator of y(-2) and (156\/(-15) - -3) + d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(4 + (sqrt(30) - (sqrt(270)*2)\/sqrt(9))\/(sqrt(490) - sqrt(490)*-2)))**2.\nAnswer: -10*sqrt(3) + 64852\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d**3 + 11*d**2 + 11*d - 26. Let m(l) = -4*l**3 - 2*l**2 - 2*l + 5. Let v(o) = -11*m(o) - 2*q(o). Find the first derivative of v(p) wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3706\/6 + 17\/51.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1853 + 4.8147. Put -2, -12, 0.05, u in ascending order.\nAnswer: -12, -2, 0.05, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*u**2 + 187*j**2*u - 69*j*u**2 wrt u?\nAnswer: 4*j**2 - 138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 5*d**3\/6 + 12*d**2 - d. Let i(a) = -a - 1. What is 5*i(k) + j(k)?\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000471 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73473*r**3 + 45895*r**2 wrt r.\nAnswer: 440838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -78*i**2 - 7*i + 119. Let o(f) = -79*f**2 - 8*f + 143. Give 5*o(s) - 6*z(s).\nAnswer: 73*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784812810 to the power of 1\/2, to the nearest integer?\nAnswer: 42247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.3, 27.38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 135692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 384192059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 655 + -683.9. Let s = -24 - c. Let p = -0.9 + s. Put 5, 0.5, p in descending order.\nAnswer: 5, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 949*s - 4873.\nAnswer: 949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5347, 11481, 18397, 26095?\nAnswer: 34575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1 (c) -0.6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -5*t**3\/3 + 5*t**2\/2 + 10*t - 183. Factor h(y).\nAnswer: -5*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113487?\nAnswer: 3, 11, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-84) + (-4)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4762)\/(-14) + 6\/(-42). Let o = u - 2440. Round o to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 + 26*i**2 + 40*i + 126. Calculate d(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + b - 17 - 10 = 0, 0 = -3*g - 5*b + 3. Let q be ((-2)\/g)\/((-13)\/39). Solve -4 - q = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2968 - -2976. Solve -4*i - 24 = p*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 minus -0.0395521683?\nAnswer: -33.9604478317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.7 and -4707182.\nAnswer: -4707161.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085610 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11\/3)*b)\/(b**3\/b)*b**(2\/25)\/b*b*b*b*b*b\/b**(-20) assuming b is positive.\nAnswer: b**(1456\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6103?\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 - (15 + -2 - -3) - (-2220 - -2225)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) + 0\/(-2). Let g = 25\/52 - 3\/13. Let o = 13.2 + -13. Put i, o, g in ascending order.\nAnswer: i, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -46 (c) 23 (d) 0 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 34*n + 180. What is u(-20)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 514, 1279, 2350, 3727, 5410, 7399?\nAnswer: 9694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 171393*w**2 + 3*w - 171393.\nAnswer: -3*(w - 57131)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28*a - 5 = -25*a, 0 = -z + 3*a - 10. Let j be z\/((-3570)\/(-16)) + (-8)\/68. Which is greater: 0.05 or j?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1183 - 1713. Suppose -2*z - 46 = -0*b - 4*b, z + 5 = 0. Let y be (-2)\/b + i\/45. Round y to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1, -18, 1, 2 in descending order.\nAnswer: 5, 2, 1, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 677, 1026, 1381, 1742?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -38?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 70091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-13 - -5) - 19 - (37 - 22)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k + 2. Let x(d) = 43*d + 6. Let l(o) = 2*x(o) - 7*y(o). Let b be l(-6). Let r = -45 + b. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1995219 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-30)*190\/(-4)*(-16)\/4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -192, -286, -360, -408, -424, -402?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(8)*3)\/(-3*sqrt(64)))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5577 or -0.0738?\nAnswer: -0.5577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -363 - -355. Let z = 15 - 11. Suppose -5*j + 0 = -5*h - 5, -z*j + 8 = 0. Sort v, h, -1.\nAnswer: v, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, 0.3, -14, -0.1, 3, -7, 22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2. Suppose -5*s = 2*h - 7*h, 0 = -3*h + 3. Suppose -16 = -4*b + 2*x, s = b + 4*x - 21. Let g(p) = b*p - 5*p - 2*p. Determine w(g(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 6*r + 2. Let g be k(6). Let t(d) = 0 - 3 + 4*d + 2. Is 6 a factor of t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 - 2*w**2 + 12*w + 13. Let k be j(-1). Let s(x) = -x + 10. Let r be s(7). Sort -1, k, r in ascending order.\nAnswer: -1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8517, -8479, -8437, -8391, -8341, -8287?\nAnswer: -8229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9339 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 144305?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(7\/(-4)))\/(32\/(-112))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951390 is divided by 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/5 - (-1957536)\/190. Let d = 10301 - x. Let r = d - 11\/19. Which is the third biggest value? (a) r (b) -4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23 + 19.23. Let u = y + -24. Which is the nearest to -10? (a) u (b) 0.4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3*j - 25, 5*i + 165 - 301 = 4*j - 161 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 2\/13, -0.444 in ascending order.\nAnswer: -81, -0.444, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(4*z - 3*z + z) + 5*z + 3*z - 3*z)*(-2 + 6 - 35).\nAnswer: -93*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322922500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + 8\/28. Suppose u*b + b = -x, -b - 2*x = 0. What is the lowest common multiple of b\/(-1 - (0 + -2)) + 1 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:20 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 2532141.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 26*h**2 + 49*h - 43. Let k be c(-24). Let r = -30 - k. Calculate the remainder when 67 is divided by r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.78 (b) 0.2 (c) 2\/9 (d) -2\/5 (e) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*l - 1517 - 1107 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4835 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-340)\/3*6\/(-4). Suppose 5*u + y = 2*z + 18, 0 = 5*z - u - 380. Suppose -39*m + 244 = -536. What is the remainder when z is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6\/15)\/((-12)\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*s**4 + 4*s**4 + 7*s**4 + (-3*s**3 + s**2 - s**2)*(1 - 2*s - 1) + 3*s**4 - s**4 - s**4 in the form d + v*s**3 + q*s + z*s**2 + g*s**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -14 - 11. What is the units digit of (-4)\/o*10\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 114 = -7*k. Let l = k - -52. What are the prime factors of l - (5 - 6 - 127)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409311449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -80.98.\nAnswer: 80.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 53*p + 247 + 69, 8 = 4*j - 2*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 8501.\nAnswer: -1\/8501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186444*q + 2*q**2 - 67761*q - 118683*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778192583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/((w\/w**(2\/3)*w)\/w)*(w\/w**(-1))**(-8\/19))\/((w**(-2))**(-3\/38))**(-28) assuming w is positive.\nAnswer: w**(356\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/7))\/(l*l**(1\/9)))\/((l*l**(-2\/11))\/(l\/((l\/(l**(-10)\/l))\/l))) assuming l is positive.\nAnswer: l**(-7673\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75363 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -22. Suppose -9170 = -5*o + 5*b, 2*o - m*b = 243 + 3431. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 7. What is the units digit of 4\/(-2) - (r + -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/(f**(-2\/21)*f*f)))*f**(-6\/5)*f*f)**(-21)*((f\/(((f*f**(-5))\/f)\/f))**(6\/23))**(11\/5) assuming f is positive.\nAnswer: f**(626\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/((-2376)\/(-77)) + 169\/26.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - (1 + -2) - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50668577*y**2 - 1256355635*y wrt y?\nAnswer: -101337154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -8. Let z = 44 - 41. Sort z, 0, w.\nAnswer: 0, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 5*n**2 - 19*n - 134. Give h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 14*d**3 + 9*d**2 - 4*d - 48. Is k(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -5 + 3)*-1. Let o be (-1)\/(6\/4)*m. Solve 0 = 2*w - 0 + o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 7776148*d + 15117119429476.\nAnswer: (d + 3888074)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 42444 in decreasing order.\nAnswer: 42444, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057756 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000012221201 (base 3) to base 8.\nAnswer: -4044325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - b**2 + 0)*(-2 + 2 - b) - b - 14*b**3 + b + 10002*b**3 - 13*b**2 - 14 - 10004*b**3 + 17*b**2 - 3*b.\nAnswer: -15*b**3 + 4*b**2 - 3*b - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 15\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 21*v = -5*c + 91236, 4*v - 3*c = 91204. Let j = -15195 + v. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -52 - (8 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 108, 4, -8 in decreasing order.\nAnswer: 108, 11, 5, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 242. Let u = -219 + o. Solve u*t = 3*r + 20, 2*t + 2*r + r = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*q + 8 + 9, -2*r = -2*q - 8. Let w(v) = 6 - 2*v**2 + r*v - v**3 + 3*v**2 + 3*v**2 + 0. Let o be w(5). Which is smaller: 13\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.3. Let m be (-1)\/(-8) + (-310)\/(-80). Which is the nearest to 1? (a) -1 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1490 divide 343312936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a decade in years?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 27829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 798 = -2*b, -5*h + 5*b + 296 = -7*h. Let w = 141 - h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2408\/7742 + 52\/(-2054).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/13, -3, 3\/7, 4.\nAnswer: -3, -14\/13, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-2*4.\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13489121?\nAnswer: 13489121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 - 8 + 2*r**2 + 0 as t + b*r**2 + v*r and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048680793 to the power of 1\/3, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d - 1. Let w be v(-2). Suppose l - w = -1. Suppose -l*q - 9 = -57. Calculate the remainder when 22 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106595 is divided by 332?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.9. Let j = 0.27 + -0.17. Let n = 4566 - 4566.5. Which is the closest to j? (a) n (b) u (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 36 - 24 = 0. Solve -6*t + f*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -665402 divided by 665402.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -15*f**8\/28 + f**6\/6 + 5*f**4\/6 + 11*f**3\/3 - 132*f. What is the third derivative of l(k) wrt k?\nAnswer: -3600*k**3 + 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -6*2)*-3. Let w = -19 - z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159503\/1120694 - -2\/41001. Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(13)*4*-2)**2 + 5.\nAnswer: 13317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27042, 309, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8134230.57 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10710098 to the power of 1\/2, to the nearest integer?\nAnswer: 3273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*(c\/c**1)\/c*c))\/c)**(2\/71)*c**(-2)\/(c*c**(-10)\/c) assuming c is positive.\nAnswer: c**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + p + 3)*(-55*p + 13*p + 114*p).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588338 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20401241 (base 5) to base 6.\nAnswer: 3342054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - (-3)\/(3\/(-1)). Is 2\/(12\/u - -2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/5 + 336\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 74, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n**2 - 1314*n**3 + 615*n**3 + 623*n**3.\nAnswer: -76*n**3 + 53*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19962919 is divided by 671.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -367 + 501*k + 367 + (2*k + 1 - 1)*(3 + 3 - 3).\nAnswer: 507*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-720) + (-153)\/(-1190). Which is the nearest to 2.4? (a) 2 (b) -6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.55 times -9?\nAnswer: 49.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -136*j - 37. Is r(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 0.6 (b) -5 (c) -2\/7 (d) 1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1437.555 - -3.555. Let u = c + 1433.9998074. Round u to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 81.39. Let v = 0.389981 - o. What is v rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143009516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52094 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20099.\nAnswer: 101, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j - 870 = 56*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + (-188 - (-151 - -54)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*c + 266*c = -378. Find the second derivative of -9 - 5*m + m**3 - c*m**2 + 4*m - 2*m + m wrt m.\nAnswer: 6*m - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + 34 + (-29952)\/910. Let t(j) be the first derivative of -f*j**3 + 0*j**2 + 0*j - 1\/10*j**6 + 0*j**4 + 9\/25*j**5 - 36. Solve t(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let u be (-2)\/3 + (-2 - 196\/(-78)). Let g = 12\/191 - -155\/573. Which is the closest to 2? (a) 5 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*1630\/2934.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + j + 4. Suppose -n - 5 = -2. Let f be v(n). Suppose 3*y = 23 + f. Solve -5*s - 3*x = -y, -2*s + 3*x + 3 = 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - (-521)\/(-260))\/((-55460)\/91450) and 19\/40.\nAnswer: 24440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.44809 minus 54570297?\nAnswer: -54570298.44809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 17*c - 60. Let h be n(12). What is the greatest common factor of 84 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5, 78*a - 73*a - 55 = -5*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**3 - 2*p**2 - 6*p + 7. Let y(f) = 13*f**3 - 4*f**2 - 11*f + 13. Suppose 4*v - 5*v = -6. What is v*y(w) - 11*l(w)?\nAnswer: w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125278, 501094, 1127460, 2004382, 3131866?\nAnswer: 4509918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**5 - 6*v**5 + 3*v**5 + (8 + 5 - 10)*(3*v**5 - v**5 + v**5).\nAnswer: 14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 1. Let s(c) = -11*c**3 - 4*c**2 + 5*c + 1. Let o(b) = -9*b**3 - 3*b**2 + 4*b + 1. Let y(z) = -5*o(z) + 4*s(z). Determine f(j) - y(j).\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 3:34 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -402186048*f**2 + f + 800308877 wrt f.\nAnswer: -804372096*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -46901*i - 609711. Let l be w(-13). Determine s so that 62500\/3 + 1\/6*s**3 + 1250*s + 25*s**l = 0.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400098 greater than or equal to 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000586573174 to five decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5))**(5\/11))**(-3)\/((w**(-1\/11)\/(w\/(w\/(w*w*w**(-1\/4)))))\/(w\/w**1)**0) assuming w is positive.\nAnswer: w**(105\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 406294*a**2. Let d(j) = -12*j. Determine d(b(q)).\nAnswer: -4875528*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-two fifths of a milligram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 6*s + 135. Let v be ((-451 - 5)\/(-4))\/(1\/(-1)). Find the common denominator of (s\/24)\/((-9)\/v) and -51\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-27)*-30)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 - -2 - (31 - 16)) - -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 1. Suppose 18 - 42 = -4*p. Let o = p - 4. Calculate n(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0 + 160*w**2 - 161*w**2 + 11089*w.\nAnswer: -w**2 + 11089*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*i, 3*i + 40 = -5*m - 0*i. Suppose 0 = x - 3*o + 9, -5*x - 3*o = -3*x. Let n be x\/m - 777\/(-105). Solve y + 3*v - n*v = 14, -2*v - 8 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 28*g + 19. Determine u(-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Suppose h*m - 6*m + 30 = 0. Suppose 0 = -5*c + m. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1))**13*d**(1\/5)*d*d*d**(1\/2))\/((d*d*(d*d**(-2\/3)*d)\/d*d*d)**49*((d**(-2\/17)*d)\/d)\/d*d*d**(-6)) assuming d is positive.\nAnswer: d**(-90533\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 653042 (base 10) in base 12?\nAnswer: 275b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 444 - 439. Let i(n) = 0 - n - n + 4. Determine i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 44. Calculate v(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 500861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (3 + -1))*(-8)\/(-15). Let f = -14\/15 + w. Factor 0*p + 2\/3*p**2 - 1\/3*p**3 - f*p**4 + 0 + 1\/3*p**5.\nAnswer: p**2*(p - 2)*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 4.62.\nAnswer: 73.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 - 3*(-3)\/(-9). Let l be ((-6)\/k)\/(1\/12). Solve -v = -3*v - l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k**(-3)\/k)\/k)*k)**(-1)*(k*k*k*k**(-3)\/k*k)**44)**(-2\/19) assuming k is positive.\nAnswer: k**(12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/44 + (-827)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 25*b**2 + 2*b + 6. Is w(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16 - 0)*(9 - 5). Suppose -2*n = -4*g + i, -2*g + 26 = 2*n - 6*n. Let a = g - 5. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4120671, 16482675, 37086015, 65930691, 103016703?\nAnswer: 148344051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.55221 - 0.3?\nAnswer: 4.25221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rurkrukrruwk. What is prob of sequence ru?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3029 + 4688 = 167*l - 2303 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 58. Suppose -h*g = -33 + 23. Find the second derivative of -8*s**3 + 8*s - 35*s**g + 35*s**2 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 2, -10*s + 14*s + 14 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -588, -2306, -5164, -9162, -14300, -20578, -27996?\n\"Answer: -570*t**2 - 8*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 9*k - 15. Suppose 42*p = 31*p - 33. Let v be ((-16)\/(-12) - -2)*(p + 0). Determine c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127282 (base 9) to base 14.\nAnswer: -20366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w + 25. Give d(12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(-3) + 19 - 660\/18\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11907.1 + -16897.4. What is q rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/15*(-15585)\/1039.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 22 = -3*w - 4*a, -4*w + a = -14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let v(t) = -16*t - 4*t**2 + 16*t. Give v(k(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 546, 572, 636, 756, 950?\n\"Answer: 3*v**3 + v**2 + 2*v + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 12*x + 9 = 0. Calculate the remainder when 17 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/42426 and -53\/24.\nAnswer: 169704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -46254 (base 9) to base 16\nAnswer: -786d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*f + 167 = 0, -3*u + 0*u = -2*f + 99. Let z = 26 + u. Let j = 0.2 - 0.7. Which is the second smallest value? (a) z (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + n**2 - 3*n - 4. Suppose 5 = -3*g - 4. Let z be 5 + -2*(-3)\/g. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (12\/(-80))\/(-7 + (-2226)\/(-148) + -8)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 8*f - 9*f - 5, 7*f = 3*o + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 1384*p - 78156. Give w(-59).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l. Let c(r) be the second derivative of r**6\/90 - r**5\/24 + 107*r**4\/12 - 120*r. Let h(d) be the third derivative of c(d). Give h(x(i)).\nAnswer: 24*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.944419 milliseconds?\nAnswer: 0.00014907365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 157*t - 1620. What is the remainder when m(90) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -14, 1, 2\/31, 3?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**5\/60 + y**4\/8 + 5*y**3\/6 - 8*y**2. Give c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319200 divided by 100?\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 10:33 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -86, -89, -70, -23?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 2*h**2 - h**2)*(4*h - 4*h - h) - 2*h**3 - 18*h + 11 + 18*h.\nAnswer: -3*h**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 4\/7, 3\/2, 0.4, -0.8, -8, -0.131?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35661270.\nAnswer: 2, 3, 5, 23, 51683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -335 (base 7) to base 10\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 9, a: 2, x: 2, n: 5}. What is prob of sequence xnax?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*a - 40 = a, 3*i = -2*a - 70. Are -21 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24654 and -16.\nAnswer: -24670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 12. Which is smaller: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050 and 490?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/100)\/((-243)\/135)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 4, t: 4, u: 2}. What is prob of sequence tttt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + i - 2. Let v(n) = -n**2 - 2. Let w(b) = 3*f(b) - 4*v(b). Give w(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038806 divided by -4?\nAnswer: -1519403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0*v**5 + 9*v + 0*v**4 + 7\/6*v**3 + 0 + 13\/30*v**6 + 0*v**2. Find the second derivative of m(g) wrt g.\nAnswer: 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:18 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -82, -216, -414, -682, -1026, -1452, -1966?\nAnswer: -2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/((-3)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332*g = 324*g + 40. Solve 2*u + g*u = 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-135)\/12)\/(2\/16). Let y = 73492 + -73491.7. Is y < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.616 rounded to 1 dp?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f + 35. Let q be r(-5). Suppose -5*h + 2*h + 2*h = q. Solve -s - 2*s - i + 7 = h, -3*s + 4*i = 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 70*y = -578. Let l(g) = g**3 + 19*g**2 + 35*g + 21. What is l(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834800994?\nAnswer: 2, 3, 277, 167429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 7*n**2 - 10*n - 18. Give s(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1129204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = n. Suppose -n*d = -d + 3*f + 2, 2*f = -d - 1. Let t be (6 - (1 - 0)) + d. Solve -t*v = -5*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - g + 17 = -5, 3*q + 4*g - 37 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 = 281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1293*u**3 - 65*u**2 + 6*u - 3. Let v(r) = -13*r**2 + r - 1. What is -c(f) + 5*v(f)?\nAnswer: 1293*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-3) + -1 - 0. Suppose 5*t + 7 + 3 = h. Is -2 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -2*t + 2*l, -2*l = 0. Calculate the least common multiple of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z*((z*z**(-2\/7)\/z*z)\/z)\/z)\/(z*z**(2\/3)*z)**(5\/11) assuming z is positive.\nAnswer: z**(578\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) + (sqrt(1000) - (sqrt(1000) + (sqrt(1000) - (sqrt(1000) - sqrt(1000)*-1)))) + sqrt(1000) + sqrt(10))\/sqrt(5).\nAnswer: 31*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3421171 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1551811 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182884716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*l - 20, -5*l + 35 + 5 = -3*t. Let u(o) = 3 + 85*o**2 + 5*o + 81*o**2 - 165*o**2. Calculate u(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 961\/1*(-5676 - (2 - 0)). Let b = -2156558 - f. Suppose -3*d - o + b = 0, -d + 2*d - 4*o = 1100000. Round d to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*a = -x, -4*x + 4*a - 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-352)\/48*9\/(-6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.34 in -4, -0.3, 0.5, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 1\/4*t**4 - 1\/2*t**3 + 0 + 0*t**2 - 9*t. Factor m(o).\nAnswer: 3*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 2*p + 2. Let b be c(-5). Let x = 69 + b. Is 31 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (94\/(-378) - (-352)\/1232)\/(2\/(-4))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 23*j**3 + 6*j**2 - 11*j + 1. What is the lowest common multiple of u(2) and 1 + 3 + (65 - 1)?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/297344 and 13\/15684896.\nAnswer: 62739584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 950 and 87798050?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 11*t - 12. Let l be r(-9). Let i = l - -3. Let d(w) = w**2 - 5*w + 9. What is the common denominator of -45\/4 and d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:55 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5632522\/40 - ((-793)\/260)\/(-61) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265112781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1433 and 108.\nAnswer: 107.8567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 642*w**3 + 3*w**2 + 10*w - 6. Let q be c(3). Let y = -10144 + q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 14\/1807?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33276109?\nAnswer: 43, 773863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:17 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -449, -446, -441, -434, -425?\n\"Answer: p**2 - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5322389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*u**2*v*x**2 - 227*u**2*x**3 + 5*u**2*x**2 + 67*u*v - 10*u*x**3 - 27*x**3 wrt u?\nAnswer: 86*v*x**2 - 454*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310565209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 7*d - 10. Let t be p(4). Let 10*x**4 - 9*x**t - 28*x**4 + 11*x**4 + x**4 + 21*x**3 = 0. Calculate x.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 25*o**2 - o + 1. Let d be l(1). Suppose -p = 4*p + d. Let h = -17000.1 + 17000. Which is the closest to h? (a) 3 (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3677 - -3676.5. Sort z, 5, -3\/8, 16 in ascending order.\nAnswer: z, -3\/8, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*k - 15 = 0, -c - 2*k = 2*k + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + 2*g**2 + 3*g + 6. Let c be f(-4). Let t(v) = 2*v - 43. Let m be t(-11). Let x = c + m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 38*v - 29. Let a(o) = -o - 1. Let k(i) = 3*i - 13. Let s(p) = -2*a(p) - k(p). Let g be s(10). What is the units digit of l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/9 and 19\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003354 rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -1 + 1 + 1. Let s(f) = 2*f + 1. Let l(w) = -w**3 - 6*w**2 - w - 5. Let m be l(-6). Let q = m + -2. Determine q*s(i) + 2*r(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose u - 3*f = -q, 5*u + f = 2*f - 1. Solve u = 3*w - x - 10, 26 = 4*w - 0*w + 5*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)*j)**(-17\/2)\/(j**(2\/5)*j*j**(-1\/11)*j)*j**(-6)\/(j*j**(-5))*j**(-2\/9)\/j**(1\/2) assuming j is positive.\nAnswer: j**(-1003\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 236297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1767.98 - 1768. Which is the second smallest value? (a) p (b) 1\/4 (c) -67 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2707 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 x when four letters picked without replacement from mxxdmddmmmddxmmxdxd.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**2 + 55*u + 11. Let i(j) = j**2 - 10*j - 2. Let c(o) = 22*i(o) + 4*w(o). Let f(y) = -2*y**2 - 162*y - 5. What is f(c(n))?\nAnswer: -8*n**4 + 324*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 26. Let s be o(9). Solve 0*h = -3*h, s = x + 3*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2045931418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l + 686 = 8*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1035\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*c + 70, 0*k - 58 = 2*c - k. Let z = 85 + c. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 15 = 111. Let m be -13 - 270\/(-24)*4. What is the highest common divisor of k and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1616 and 24?\nAnswer: 4848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 9*k**2 - k - 3. What is j(9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/5 greater than or equal to -2\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 150 = 57*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 1.08247?\nAnswer: 1.28247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 4*f + 3. Let d be w(-2). Let a = 13 - d. What is the remainder when 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 590687*k*r**5 - 2795*k*r**2 - 262*k + 3*r**5 - r**2 wrt r?\nAnswer: 35441220*k*r**2 + 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kemdkedmdmdeddm. Give prob of sequence dk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -4 - 7) + (12 - 7) + -35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11281205387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60135070 divided by 1307.\nAnswer: 46010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 - 9*k + 3. Let m(j) = 10*j**2 + 26*j - 8. Calculate 11*h(o) + 4*m(o).\nAnswer: 7*o**2 + 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6349276 is divided by 560?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646 take away 41680?\nAnswer: -38034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/24*q**4 + 0*q**6 + 0 + 0*q + 3*q**2 + 0*q**5 + 1\/210*q**7 + 0*q**3. What is the second derivative of w(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -942669, -3770719, -8484129, -15082893, -23567005, -33936459, -46191249, -60331369?\n\"Answer: a**3 - 942686*a**2 + a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627626 is divided by 4710.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -514, -1883, -4526, -8863, -15314?\nAnswer: -24299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3734582 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 855.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2.1, 4, -3.\nAnswer: -3, 2.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -46*a**3 - a - 1. Let g be i(-1). Let n = g - 37. What is the highest common divisor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 10*q**2 + 649*q - 7573. Calculate m(12).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8, 2*j + 0*w = 3*w + 4. Suppose j*u = -3*n + 12, -n + 4 = -2*u - 0. Solve -q - 2*s + 4 = u, 5*q - 2*q + 2*s = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39126260 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9916 and 111888.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5\/3 - 4226*x**4\/3 - 16930*x**3\/3 - 4234*x**2 = 0.\nAnswer: -3, -1, 0, 2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10)*735\/(-3). Let o be ((-32)\/(-24))\/((-6)\/(-207)). Let y = i - o. 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: Let h(i) = -5*i + 1. What is h(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(728\/(-320)) + -3. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 12:45 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -452 - -410. Let d be i\/(-54) - (-32)\/(-72). Suppose d*y**5 + 0 - 5\/3*y**4 + 3*y**3 + 2\/3*y - 7\/3*y**2 = 0. Calculate y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3.8. What is the biggest value in v, -6\/7, -1\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = p, 0 = 256*p - 259*p + 4*s + 18. Solve 0 = -4*t - 2*r + 2, p*t = t + 5*r - 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6511942 is divided by 182.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z + 3440. Suppose z = d + 3*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i - 710 = -107*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f + 2*g = 6, f - 2*g = 4. Let t = 2529 - 1689. Let m be (-5)\/20 + t\/32. Solve 5*o + x - 3*x = m, 0 = -f*o - x + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + 4 + sqrt(13) + (sqrt(325) - (sqrt(325) + 2*sqrt(325)) - sqrt(13)))**2.\nAnswer: -72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1076 and 30?\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 32*z**2 + 33*z + 3. Determine r(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41324 - -1?\nAnswer: -41323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -55, -69, -79, -85, -87, -85?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(36)\/sqrt(3)) + sqrt(17) + 4 + 4)**2.\nAnswer: 32*sqrt(17) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/11 and 49\/86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2690, 0.41, 0.51, 0.5?\nAnswer: -2690","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3504 * 189\nAnswer: -662256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -36 + (-17 + 18 - (1 - -1 - 14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.02 (b) -0.2 (c) 18179 (d) -2\/3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2 - -3) + -1. Suppose -1352 = 132*i - 158*i. Does 9 divide (i - 2) + 5 + (-4 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*t = 4, -59938*t + 59872*t = l - 134 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*m**4*z**3 + 2*m**4*z + 4*m**3*z**3 - 36*m**2*z**2 + m*z**3 + 2*z**3 wrt m?\nAnswer: -360*m*z**3 + 48*m*z + 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 + 6.41. Let b = f - 6.8879. Round b to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 8253*x**3 - 32976*x**2 - 32964*x.\nAnswer: -3*x*(x + 2)**2*(x + 2747)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 3712?\nAnswer: -3711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6982.916g?\nAnswer: 6982916000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeweeeeewewwweewee.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100110 - 11100011101?\nAnswer: -10111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 6*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 - 9 = -4*a, 4*q - 5*a + 4 = 0. Calculate the greatest common factor of q and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68357 - -144301624\/2111. Let d = g - -16987\/69663. Calculate the common denominator of -11\/24 and d.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*p - 3*j, -810 = 5*p - 3*j - 788 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145471*y**2 + 145454*y**2 - 12*y**3 - 10*y**3 to p*y**2 + l*y**3 + i*y + b and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*k + 5*o, -4*k + 3*o + 10 = -0*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t\/(((t*t\/(t**(-1\/4)*t*t)*t*t)\/t)\/t*t))\/((t*(t*t**(1\/2)*t*t)\/t)\/t)**18 assuming t is positive.\nAnswer: t**(-209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411404.\nAnswer: 2, 19, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 + 3599.2967507\nAnswer: 3591.7967507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -145*n + 23. Let i be f(-6). Find the second derivative of -25*g**5 - 26*g**5 - 893*g**3 - 90*g + i*g**3 wrt g.\nAnswer: -1020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128688 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 516 divided by 12\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + g**2 + 0*g**2 + (-2*g + g - g)*(3*g + g - 3*g) - 2 + 2 - 2*g**2 + 0*g**2 - 2*g**2 + 3*g**2 + (1 + g - 1)*(g + 3*g - 5*g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199*s**4 + 55*s**4 + 51*s**4)*(-3*s + 2*s - s) - 2*s**5 + 3*s**4 - 3*s**4.\nAnswer: -612*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0144 + -5.\nAnswer: -4.9856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -25497.14 rounded to the nearest 10?\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 17*g = 492. Suppose g + 1044 = -4*h. What is the hundreds digit of (-2 + 2 + h)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 124 = -3*q - q, -5*q + 257 = 2*v. Let u = v - 134. Determine m, given that 4\/5*m**3 + 0 + 4\/5*m**4 + 0*m + 0*m**u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82a4 (base 14) to base 12.\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 8*d**2 - 5*d + 10. Let w be s(-6). Let l = w + 182. Calculate the greatest common divisor of l and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -541 divided by -1?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -50, -2 in descending order.\nAnswer: -2, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -108598353673.\nAnswer: -108598353678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-6 - -1) + 3 + 7. Solve -5*z - h = -5*g, 0 = -g - g + z + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - c - c)*(10*c**3 - 11*c**3 + 5*c**3) - 2*c - 405*c**4 + 404*c**4 + 6*c as d*c + l*c**3 + v*c**2 + o*c**4 + u and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 139 = -309. Let j = 115 - n. Solve h + j*h = 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**2 + 17 - 7 + 10*n - 10 = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 5. Which is smaller: -0.8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29366*l**3*z - 26513*l**2*z wrt l.\nAnswer: -176196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.02, -0.3, 0.4, -1, -5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 50*r + 34. Give g(25).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6128316 by -1.\nAnswer: 6128316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 350.83 - 351. Which is the nearest to -0.1? (a) 1 (b) 2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/8 + 5*x**3\/6 + 4*x**2. Does 8 divide y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 27*w**2 - 3*w + 4. Calculate k(-27).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/14 and -125\/23148.\nAnswer: 162036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2379509927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1160 and 99064.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 761*y**2 + 3502*y - 358825. Determine m(757).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = 9. Let u = -8 - -14. Let z = a - u. Let o(n) = n**3 + 3*n**2 + 2*n - 4. Determine o(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = h - 446. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 - 1. Let t be x(-2). Suppose 2*l - 5*q + 10 = 0, 11 = -l + 4*q + 3. Let n = l + t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:37 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - 4*q + 301 - 300)*(-q**2 + q**2 + 2*q**2).\nAnswer: -20*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 5*r - 4. Let o be h(-4). Let n = -28 + o. Suppose -5*d = -2*d - 60. What is the lowest common multiple of d and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 75*a - 334. Let l be d(32). Solve 2*k = -5*r + l, 0 = k + r + r - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 5*j, 8*j - 10*j + 6*l = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52714.\nAnswer: 2, 26357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405635 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: Let y = 90 - 89.7. Let t(x) = -4*x + 2. Let v be t(-1). Suppose 3*i - 3 = v. Which is the nearest to -7? (a) i (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13dbc (base 14) in base 12?\nAnswer: 24696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -631 - -367. Let b = 455 + l. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 14*j = 66. Suppose -3*u = j*f + u - 4091, -6799 = -5*f + 3*u. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1800 and 1825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-9)\/(-2) + -3)\/(-39)). Solve -4*b + 5*d + y = -0, -5*d = 3*b - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/(-48) - 1118\/17888?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9 - (-7 + 5)) + 578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - -3985?\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 + 173. Solve -w*z - 9 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 1, c: 2, e: 1, n: 1, i: 1}. Give prob of sequence icn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 470. Let p be j(0). Suppose o - 471 = y, 3*y + p = o + y. Let w = -281 + o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18*v**3 - 13*v**2 - 11*v - 5. What is the hundreds digit of l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1*45\/18*1. Suppose -n*f = 3*l + 5, 2*l + 0 = -4*f - 4. Let c be 0 - ((-18)\/(-99))\/(f\/3). Sort c, -0.1, -3 in ascending order.\nAnswer: -3, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-10))\/(2604\/34720).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*l - 280 = 58*l. Suppose -3*s = 2*v - 606, 3*v = -s + 2*s - 191. Calculate the greatest common factor of s and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-24)*-1*(-4)\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 10*z**2 - 26*z + 15. Let c be q(9). Let w be 23\/(c\/(-780)) - -5. Calculate the greatest common divisor of 27 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14640000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (19 + -8 - 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206 + 338. Let o = y - 132. Sort -4, -19, o in increasing order.\nAnswer: -19, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2929955 divided by 418565?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109 + -305?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 14 = -3*w. Let r = w - 13. Solve k = -2*q + r, 4*k + 3*q = 4*q - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217244814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2 + 2*h - 6. Let t be f(5). Let v = -24 - -25. Solve -3*p - v = -t*d - 0*p, -d + 7 = -3*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/(m\/m**(-2\/5)))\/m)\/m))**(-20)*(m*m**(-3)\/m*m)\/m**6 assuming m is positive.\nAnswer: m**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 3*x**2 + 9*x + 5. What is the least common multiple of f(-5) and 1\/2*(20 + -2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:33 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2*(-6038)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14886)\/5789)\/(3\/(-56)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 92416.34 weeks?\nAnswer: 55893402432000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Let d be 2\/(-4) - m\/(-2). Suppose 3*v + 5*o - d*o = 6, 25 = 5*v + 2*o. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + -4 + sqrt(891) + 0 + sqrt(891))*3 + -3 + -3)**2.\nAnswer: -2592*sqrt(11) + 513252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g - 1. Let i(u) = -604*u**2 + 4*u - u**3 - 2 + 606*u**2 - 1 + 0*u. Let r be -4*2\/(-1*8). Calculate r*i(f) - 4*w(f).\nAnswer: -f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 1. Determine q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 1 d when three letters picked without replacement from qtdqqbqqrlqtqqlldq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 751, 1122, 1491, 1858, 2223, 2586?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -16. Let o(l) = 8*l**2 - 2*l + 5. Let z(b) = 7*b**2 - 6*b + 16. Let q(x) = 7*x**2 - 7*x + 19. Let w(y) = 4*q(y) - 5*z(y). What is s*o(g) + 7*w(g)?\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9303320 divided by -104\nAnswer: 89455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422 + 1494 = 134*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 14961*i**2\/4 + 14343420*i + 2630756752.\nAnswer: (i + 193)*(i + 7384)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -147 (base 15) to base 12\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(1360\/4))\/(8*(-12)\/288)\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*z + 7 = 0, 7*z - 10*z + 9 = -b. Let s(x) be the first derivative of 2 - 3*x**2 - 1\/2*x**4 - 2*x - 2*x**b. Find r, given that s(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**6\/2 + 10*r**3\/3 + 9. What is the third derivative of i(l) wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.8 + 18.8. Let h = 5 - 5.4. Let i = -0.3 - h. What is the third smallest value in -5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/123 and -137\/10578.\nAnswer: 10578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1442 divided by 14\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1887 is divided by 145.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17175.392 rounded to the nearest 10?\nAnswer: -17180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 50*i**2 - 5. Let q be m(7). Is q\/12 + (-9)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {m: 1, h: 2, i: 3, z: 6, j: 4, c: 3}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*o**2 - o**3 + 31 - 73*o**2 + 4 - 79*o**2 - 9 + o as n + y*o**2 + j*o**3 + x*o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185392*p**3 - 370619*p**3 + 185529*p**3 + p - p.\nAnswer: 302*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**7\/21 - 2*c**6\/15 + c**5\/10 + c**4\/3 + c - 5. Determine l, given that o(l) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149036411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**4\/24 + 11*g**3\/6 - g**2. Let k(z) = z**2 - 15*z + 5. Let o be k(14). Let m be t(o). Solve m*p - 2 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 1 + 30 + -7 + 348\/(-108)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173*k**2 - 22*k**2 - 77*k**2 - 2*k)*(-5 + 5 - 1)*(-9 - 5*k + 9) to the form h*k + y*k**2 + z + r*k**3 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 33*g = 4285. Suppose 3345 = 5*p - 5*n, 0 = -5*p - 2*n + 4195 - g. Let o = -467 + p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - (-49115)\/(-1235) - 42?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11100111?\nAnswer: -11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -204.57 and -0.1.\nAnswer: -204.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 - 5*t - 9. Give h(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 229197004 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 909495*c**3 - 27926*c**2 + 2*c wrt c?\nAnswer: 5456970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - 2*x**2 + x**2)*(9*x + x**2 + 1 - 6*x**2 - 5*x**2) to the form f*x + m + j*x**4 + w*x**3 + r*x**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57165 or -57164?\nAnswer: -57165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 34 = 10*d. Let t(s) = -2*s**2 - 2*s + 5. Let r be t(d). Solve 0 = r*f - 8 - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -52*g**3 - 20*g**2 - 1100*g + 32. Let q(k) = 24*k**3 + 9*k**2 + 550*k - 14. Give 4*f(b) + 9*q(b).\nAnswer: 8*b**3 + b**2 + 550*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 312\/10 - 1\/5. Calculate the greatest common factor of g and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484833 at most 485406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/7)\/((x*(x**(-1\/4)\/x)\/x)\/x*x)*(x*x*x**(-2\/7))**(-22) assuming x is positive.\nAnswer: x**(-1013\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, 16, 5 in ascending order.\nAnswer: 1, 5, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3 + 3 + 0 + 40*u + 2 to the form o + f*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140312*f**3 - 71087*f**3 - 69224*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 3*b - 2. Let o be f(4). Let t = -9 + o. What is the remainder when 32 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 310*f**2 - 640*f.\nAnswer: 5*f*(f - 2)*(f + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**(4\/9)*g*g*g))))\/(g*g*(g*g\/g**(-16))\/g))\/(g\/g**(12\/5)*g**(2\/25)) assuming g is positive.\nAnswer: g**(-4753\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -87\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14944 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1112210210?\nAnswer: 1112210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4647669, 4647671, 4647673, 4647675?\n\"Answer: 2*o + 4647667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14703580 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.0016 - -9. What is a rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/240 and -86\/45.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1206 and 42\/11.\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 748923666 smaller than 748923667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*8\/108*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 - 4dace?\nAnswer: -4da95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*w - 1954, 437*n - 441*n - w - 1559 = 0. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 124 = 6*f - f, 4*u - 5*f = -546. Let x = u + 213. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**5 - 11*z**4 - 55*z wrt z.\nAnswer: 60*z**3 - 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 11122?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -71 and -80692.3.\nAnswer: -80763.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 690*x**2 - 225*x**2 + 492*x**3 - 226*x**2 + 3 - 241*x**2 in the form b*x**3 + w*x + v + i*x**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 11*w = -5*s + 18, 4*s - 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.85420134 to one dp.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*z = 172*z + 175*z - 17020. Solve 0 = 23*r + z*r - 60 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 302 = -2*d, -8 = -6*d + 2*d. Suppose -5*b - 82 = -u. Solve 5*x = b*t + 45, 4*x + t + 10 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -148 - -259. Let n = 187 - a. Let u = 112 - n. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*q - 14*q - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*z + 27*z + 16768 + 15043 = 4927 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + 6 + -9 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*n - 2*n + 22, -2*i - 3*n - 21 = 0. Let p be 4 - (4 - (3 + i)). Suppose 0 = -p*m + m. Solve -3*l + 3*c = m, 5*l = -2*c - 5 - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000048 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 5*f - 4. Let z be b(4). Let c = 3 + z. What is the first derivative of -3 + c*t**2 - t**2 + 2 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 + 7*v**2 - 21 + 221*v - 124*v - 97*v.\nAnswer: -3*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 + 593 = 151*g - 713 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/16)\/(((-243)\/(-18))\/(-27))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18392703 divided by -1487?\nAnswer: -12369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g + 2*g. Suppose -3*r - 6 - 6 = 0. Let u = r - g. Solve -2*o = -n - 5, -u*o + 2*n - 7 = -3*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 less than 27731312?\nAnswer: 27731312.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -75 + ((-109275)\/(-11))\/155\nAnswer: -120\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-282)\/(-15) - 3\/(-15). Let p = c + -12. Suppose -2*b + 72 = -d, 184 = 4*b - d + 40. What is the lowest common multiple of p and b?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9491 - -49622.69401\nAnswer: 40131.69401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14141030 + 2?\nAnswer: 14141032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/8 - 2785*w\/2 - 7756225\/2 = 0. Calculate w.\nAnswer: -5570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5920 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 16 = 3*g, 0 = -8*t - 4*t + 10*t - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 10*v**3 + 16*v**2 + 24*v.\nAnswer: -2*v*(v - 2)*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i - 11. Suppose 0 = -0*u + 2*u + 5*z + 7, -i*u - 2*z + 10 = 0. Solve -6*t + 2*t = -3*a + 11, t = u*a + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-30) + (-44)\/3. Let k be (1 - (2 - -122))\/(1\/o). Suppose 5*b - 14*b + k = 0. What is the highest common divisor of 41 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/((-2)\/(-4)). Suppose -3*d + 3 = y*k - 6, -2*d + 7 = 3*k. Suppose -5*r + 14 + k = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 22. Let l be s(10). Let o(q) = 16*q - 14*q - 19*q**2 + 2*q**l. Let h(v) = -2*v. Determine h(o(w)).\nAnswer: 34*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w + 3*p + 268 = 0, 2*w + 518 = 3*p. Let c = 875 - 504. Let g = w + c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 22*o + 11. What is u(5)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1325 (base 8) to base 7\nAnswer: -2054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000994568 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) -4 (c) -10 (d) 0.042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/18 - 0) + (-309)\/(-18). Suppose 5*p + 3468 = j*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 32*a**2 - 42*a - 14. Let x be i(30). Let y = -369 + x. List the prime factors of y.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8 + 8.372. Let t = 0.422 - z. Which is the second biggest value? (a) 2 (b) 2\/11 (c) -1\/8 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*f - 3. Which is the biggest value? (a) 3 (b) f (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122569256.\nAnswer: 2, 1201, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - ((sqrt(153) - -1*sqrt(153)) + sqrt(153) + sqrt(153))*5)\/(sqrt(441)*2).\nAnswer: -19*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}